## Personal Data

Full name

Ludwig Paul Ary Evert Streit

Publishing name

Ludwig Streit

Birthday

1938-06-26T00:00:00

## Academic Degrees

AGREGAÇÃO(0)

Degree date

1988

Final grade

(highest)

Degree granting institution

Universidade do Minho

School / College / Campus

Escola de Ciências

Thesis title

Supervisor

Co-supervisor

Scientific area

DOUTORAMENTO(0)

Degree date

1962

Final grade

mit Auszeichnung (highest)

Degree granting institution

Outra

School / College / Campus

Other

Thesis title

Supervisor

Co-supervisor

Scientific area

## Profissional activity

Period | Position | Institution |
---|---|---|

1981-85 | Director | Center for interdisciplinary Research (ZiF) of Bielefeld University |

1991- | Chair Professor | Universidade da Madeira |

1989-91 | Chair Professor | Universidade do Minho |

1970 | Professor | Physics Department of Bielefeld University |

1970-72 | Associate Professor | Physics Department of Syracuse University. |

1969-70 | Member of Technical Staff | Bell Telephone Laboratories, Murray Hill, N.J |

1968-69 | Assistant Ptofessor | Physics Department of Syracuse University |

1967-8 | Research Associate | Physics Department of Syracuse University |

May 1, 1965 to July 31, 1967 | DFG research fellow | Seminar for Theoretical Physics, ETH Zurich |

March 1, 1963 to April 30, 1965 | "Wiss. Assistent" (post-doc) | II. Institute for Theoretical Physics, University of Hamburg |

fall term 1961-62 | "Wiss. Hilfskraft" | II. Institute for Theoretical Physics, University of Hamburg |

## Area of scientific activity

Area of scientific activity

- Quantum Field Theory

- Quantum Mechanics

- Nuclear Physics

- Theory and Application of Stochastic Processes

- Infinite Dimensional Analysis

- Complex Networks

- Polymer Physics

Specialization domain

Mathematics, Mathematical Physics

Current main scientific area

Infinite dimensional and stochastic analysis

Path integral methods in quantum physics

Analysis and Visualization of Networks

Polymer physics

Other scientific activities

ADVISORY WORK

Executive Committee, Intl. Ass. Math. Physics (IAMP), 1979 - 1985, Secretary, 1982 - 1985.<br>IUPAP committee for Math. Physics, 1981 - 1987.- Advisor, Intl. Inst. for Advanced Study (IIAS) at Kansai Science City, Japan.- Advisor, Research Center for Theor. Physics, the Philippines.- Working group for an astronomical observatory, 1993 .- Working group for the development of a national research program in astronomy, 1993-94 .- Committee for the evaluation of research proposals under PRAXIS XXI, 1995,- Committee for the Assessment of University Teaching of CRUP, 2001- Scientific-Technical Advisory Council, ARC Systems Research, 2002-, speaker: 2004-2010.

EDITORIAL BOARDS: Nine intl. journals, editor of 18 volumes in mathematics and physics and of one on tactical nuclear weapons.

## Experience as scientific advisor

PhD STUDENTS<br><br> J. Eachus, Syracuse, USA, 1968 - 1970: "A Solvable Model in Quantum Field Theory"<br> W. Driessler, Bielefeld, 1973 - 1975: "On the Structure of Fields and Algebras on Null Planes"<br> F. Gesztesy, Graz, 1975 - 1976 (with H. Latal): "Energiedichte und Renormierung im Modell einer Feldtheorie mit quadratischer Wechselwirkung"<br> J. Fröhlich, Graz, 1975 - 1977 (with H. Zingl): "Coulombkorrekturen bei Streuung zweier geladener Hadronen"<br> C. Macedo, Bielefeld, 1981 - 1985: "Exactly Solvable Schrödinger Models with Inverse Square Potentials"<br> C. Carvalho, Lisbon, 1984 - 1990: "Quantum Lorentz Gas with Point Interaction"<br> W. Westerkamp, Bielefeld, 1993-95: "Recent Results in Infinite Dimensional Analysis and Applications to Feynman Integrals"<br> C. Rodrigues Drumond, Funchal, 1995-2000: Tempos locais das auto-interseccoes do movimento Browniano.<br> J. L. Silva, Funchal, 1995-98, "Studies in non-Gaussian Analysis"<br> M. Grothaus, Bielefeld, 1998: "New Results in Gaussian Analysis and their Applications in Mathematical Physics"<br> R. Gannoun, Faculté des Sciences, Tunis, 1997-2001: Analyse Gaussienne et Problème de Caractérisation.<br> M.-J. Oliveira (with Yu. Kondratiev, A. Cruzeiro) 2000-2002: Poissonian White Noise Analysis and Configuration Space Analysis". Faculdade de Ciências, Univ. de Lisboa.

## Participations in R&D projects

COORDINATOR OF RESEARCH GROUPS

In the academic year 1975-76 director of an interdisciplinary research year mathematics - physics at the Center for interdisciplinary Research (ZiF) of Bielefeld University under the title "Mathematical Problems of Quantum Field Theory", after approx. two years of preparation. The project dispensed DM 1 000 000 for visiting scientists, of which there participated 64 from 14 countries. It produced 100 scientific publications.

Another ZiF research year was prepared, and conducted in 1983-84, under the title "Project No.2 - Mathematics and Physics" with the participation of 100 guest scientists from 20 countries and an output of 130 scientific publications.

In the mid-eighties annual organization of small nuclear physics research groups that worked in Bielefeld over the summer.

ZiF research year 2000-2001 "The Sciences of Complexity", with Ph. Blanchard, R. Lima, R. Vilela Mendes.

"Redes: Modelos da Realidade e Análise Matemática" at CCM, Universidade da Madeira, financed by FCT, 2004-2010

"Network Models, Governance and R&D collaboration networks" of the EU 6th Framework Programme, Project no. 028875, STREP, NEST-ADV Head of work package 4: Empirical network analysis.

Project member:

"Scaling properties for chain polymers modeled by fractional Brownian motion paths", FCT project PTDC/MAT-STA/1284/2012.

## Awards

Year | Award | Awarding entity |
---|---|---|

2013 | Dr. h.c. | Universidade da Madeira |

2013 | Honorary Professor | Mindanao State University - Iligan Institute of Technology, the Philippines |

1973 | Honorarprofessor | Universitaet Graz, Auatria |

1998 | Louvor | Ministro, Ciência e Tecnologia |

## Publications

Livros (autor)

- "White Noise. An infinite dimensional calculus." T. Hida, H. H. Kuo, J. Potthoff, L. Streit, Kluwer Academic, 1993.

Teses

- "Analytische Eigenschaften der exakten Streuamplitude". Univ. Graz, 1962.

Livros (editor)

- "Quantum Fields, Algebras, Processes" - Springer, Vienna 1980.<br> "Dynamics and Processes" (with Ph. Blanchard) - Springer Lecture Notes in Mathematics no.211, Berlin 1984.<br> "Resonances - Models and Phenomena" (with S. Albeverio, L. S. Ferreira) - Springer Lecture Notes in Physics no. 211, Berlin 1984.<br> "Mathematics+Physics. Lectures on Recent Results" 3 vols., World Scientific, Singapore 1985 - 1989.<br> "Path Integrals from meV to MeV" (with M. C. Gutzwiller, A. Inomata, J. R. Klauder) - World Scientific, Singapore 1985<br> "Stochastic Processes - Mathematics and Physics" (with S. Albeverio, Ph. Blanchard) - Springer Lecture Notes in Mathematics no.1158, Berlin 1986.<br> "Models and Methods in Few-Body Physics" (with L. S. Ferreira, A. Fonseca) - Springer Lecture Notes in Physics no. 273, Berlin 1987.<br> "Stochastic Processes - Mathematics and Physics II" (with S. Albeverio, Ph. Blanchard) - Springer Lecture Notes in Mathematics no.1250, Berlin 1987.<br> "Taktische Kernwaffen - Die fragmentierte Abschreckung" (with Ph. Blanchard, R. Koselleck) - Suhrkamp, Frankfurt 1987.<br> "Stochastic Processes in Physics and Egineering" (with S. Albeverio, Ph. Blanchard) - Reidel 1988.<br> "Dynamics and Stochastic Processes" (with R. Lima, R. Vilela Mendes) - Springer Lecture Notes in Physics no. 355, Berlin 1990.<br> "White Noise Analysis - Mathematics and Applications" (with T. Hida, H. H. Kuo, J. Potthoff), World Scientific, Singapore 1990.<br> "Stochastic Processes and their Applications in Mathematics and Physics" (with S. Albeverio, Ph. Blanchard) - Kluwer 1990.<br> "Dynamics of Complex and Irregular Systems" (with Ph. Blanchard et al.), World Scientific, Singapore, 1993.<br> "Stochastic Analysis and Applications in Physics" (with A. I. Cardoso, M. de Faria, J. Potthoff, R. Sénéor), Kluwer, Dordrecht 1994.<br> "On Klauder\'s Path; A Field Trip: Essays in Honor of John R. Klauder" (with G.C. Hegerfeldt, Gérard G. Emch) World Scientific Publishing Company, January 1994<br> "Non-Linear Klein-Gordon and Schroedinger Systems: Theory and Applications" (with L. Vazquez, V. Pérez-García) World Scientific, 1996.<br> "Trends in Contemporary Infinite Dimensional Analysis and Quantum Probability" (with L. Accardi, H.-H. Kuo, N. Obata, K. Saito, SiSi). Insituto Italiano di Cultura, Kyoto 2000.<br> "Recent Developments in Infinite-Dimensional Analysis and Quantum Probability" (with L. Accardi, H.-H. Kuo, N. Obata, K. Saito, SiSi), Kluwer Academic Publ. , Dordrecht, 2001.<br> "Selected Papers of Takeyuki Hida" (with L. Accardi, H.-H. Kuo, N. Obata, K. Saito, SiSi), World Scientific, 2001.<br> "Functional Integrals in Stochastic and Quantum Dynamics". Proceedings 3rd Jagna Intl. Workshop. Central Visayan Inst. Foundation, 2002.

Publicações em actas de encontros científicos

- J. Bornales, S. Eleuterio, M. J. Oliveira, L. Streit: Fractional Brownian Polymers - Some First Results. Int. J. Modern Physics CS 17, 54-65 (2012)

Artigos em revistas de circulação internacional com arbitragem científica

- "The Vacuum of the Hoegh-Krohn model as a generalized White Noise Functional" (with S. Albeverio, T. Hida, J. Potthoff) - Phys. Lett. B 217, 511 (1989).

"Dirichlet Forms in Terms of White Noise Analysis I - Construction and QFT Examples" (with S. Albeverio, T. Hida, J. Potthoff, M. Roeckner) - Rev. Math. Phys. 1, 291 (1990)

"Dirichlet Forms in Terms of White Noise Analysis II - Construction of Infinite Dimensional Diffusions and QFT Examples" (with S. Albeverio, T. Hida, J. Potthoff, M. Roeckner) - Rev. Math. Phys. 1, 313 (1990).

"Generalized Master Equations and the Telegrapher´s Equation" (with M.-O. Hongler) - Physica A165, 196 (1990).

"A Characterization of Hida Distributions" (with J. Potthoff) - J. Funct. Analysis 10, 212 (1991) .

"A Characterization of White Noise Test Functionals" (with J. Potthoff, H. H. Kuo) - Nagoya Math. J. 121, 185 (1991).

"A Probabilistic Connection between the Burger and a Discrete Boltzmann Equation" (with M.-O. Hongler) - Europhys. Lett. 12, 193 (1990).

"The Feynman Integrand as a Hida Distribution" (with M. de Faria, J. Potthoff) - J. Math. Phys. 32, 2123 (1991).

"Spaces of White Noise Distributions: Constructions, Descriptions, Applications" (with Yu. G. Kondratiev) -. Rep. Math. Phys. 33, 341-366 (1993)

"A Remark about a Norm Estimate for White Noise Distributions" (with Yu. Kondratiev) - Ukrainean Math. J. (1992) no.7.

"Constructing the Feynman Integrand" (with D. C. Khandekar) - Annalen d. Physik 1, 49 (1992).

"Quantum Mechanical Propagators in Terms of Hida Distributions", (A. Lascheck, P. Leukert, L. Streit, W. Westerkamp), Rep. Math. Phys. 33, 221-232 (1993).

"Invariant states on random and quantum fields: φ bounds and white noise analysis." (with J. Potthoff) J. Funct. Anal. 111, 295-311 (1993)

"More about Donsker´s delta function" (with A. Lascheck, P. Leukert, W. Westerkamp), Soochow Math. J. 20, 401-418 (1994).

"Generalized Functionals in Gaussian Spaces - the Characterization Theorem Revisited" (with Y. G. Kondratiev, P. Leukert, J. Potthoff, W. Westerkamp), J. Funct. Analysis 141, 301-318 (1996).

"Wick Calculus in Gaussian Analysis" (with Y. G. Kondratiev, P. Leukert) Acta Appl. Math. 44, 269-294 (1996)

"Non-Gaussian infinite dimensional analysis" (with S. Albeverio, Y. Daletzky, Yu. Kondratiev) J. Funct. Analysis 138, 311-350 (1996).

"Intersection Local Times as Generalized White Noise Functionals" (with M. de Faria, T. Hida, H. Watanabe) Acta Appl. Math. 46, 351-362 (1997)

"A note on positive distributions in Gaussian analysis" (with Yu. Kondratiev, W. Westerkamp) Ukrainian Math. J. 47, no. 5 (1995)

"Generalized Functions in Infinite Dimensional Analysis" (with Yu. Kondratiev, W. Westerkamp, Y.A. Yan) Hiroshima Math. Journal 28, 213-260 (1998).

"The Feynman Integral - Answers and Questions", in Proc. 1st Jagna Intl. Workshop on Adv. in Theor. Physics, p. 188 -199, Central Visayan Inst., Bohol, 1996.

"Generalized Appell Systems" (with Yu. Kondratiev, J. L. Silva) Meth. Funct. Anal. Top. 3, 28-61 (1997).

"The Feynman Integral for time-dependent anharmonic oscillators"(with M. Grothaus, D. C. Khandekar, J. L. Silva) J. Math. Phys. 38(6), 3278-3299 (1997).

"Feynman Integrals for a Class of Exponentially Growing Potentials" (with T. Kuna, W. Westerkamp) Journ. Math. Phys. 39, 4476-4491 (1998).

"Differential Geometry on Compound Poisson Space" (with Yu. Kondratiev, J. L. Silva) Meth. Funct. Anal. Topology 4, 32-58 (1998).

"Complex Gaussian Analysis and the Bargmann-Segal Space". (with M. Grothaus, Yu. Kondratiev) UMa-CCM 20/97, to appear in Meth. Funct. Anal. Topology.

"Nonlinear Evolution Equations with Gradient Coupled Noise" (with F. Benth, Th. Deck, J. Potthoff) Lett. Math. Phys. 43, 267-278 (1998).

"Analysis on Poisson and Gamma spaces" (with Yu. Kondratiev, J. L. Silva, G. Us) Inf. Dim. Anal. Qu. Prob.1, 91-117 (1998)

"Regular generalized functions in Gaussian analysis" (with M. Grothaus, Yu. Kondratiev) Inf. Dim. Anal. Qu. Prob 2, 1-25 (1999)

"Scaling limits for the solution of Wick type Burgers equation. (with Grothaus, M. and Kondratiev, Yu.G), Random Oper. Stochastic Equations, 8(1):1--26, 2000.

"The Renormalization of Self Intersection Local Times I: The Chaos Expansion." (with M. de Faria, C. Drumond). Inf. Dim. Anal. Qu. Prob. 3, 223-236 (2000).

"A Generalized Clark-Ocone Formula" (with M. de Faria, M. J. Oliveira). Random Oper. Stochastic Equations, 8, 163-174 (2000).

"Construction of Relativistic Quantum Fields in the Framework of White Noise analysis" (with M. Grothaus) J. Math. Phys. 40, 5387-5405 (1999).

"Knots, Feynman Diagrams and Matrix Models" (with M. Grothaus, I. V. Volovich) IDAQP 2, 359-380 (1999)

"Multiple Intersection Local Times in Terms of White Noise" (with S. Mendonca) IDAQP 4, 533-543 (2001).

"Quadratic Actions, Semi-Classical Approximation, and Delta Sequences in Gaussian analysis" (with M. Grothaus) Rep. Math. Phys. 44, 381-405 (1999).

"On regular Generalized Functions in White Noise Analysis and their Applications" (with M. Grothaus) Methods of Functional Analysis and Topology, 6 , no. 1, pp. 14-27 (2000)

"Intersection Local Times of Independent Brownian Motions as Generalized White Noise Functionals" (with S. Albeverio, M. J. Oliveira), Acta Appl. Math. 69, 221-241 (2001)

"Stochastic Control for a Class of Random Evolution Models," (with Max-Olivier Hongler, H. Mete Soner) Applied Mathematics and Optimization 49, 113-121 (2004)

M. Faria, M. J. Oliveira and L. Streit. Feynman Integrals for Non-Smooth and Rapidly Growing Potentials. J. Math. Phys. 46, No 6 (2005), Art. No 063505.

R. Jenane-Gannoun, R. Hachaichi and L. Streit: "Renormalisation du temps local des points triples du mouvement brownien," IDAQP, Vol. 9, No. 4 547-566 (2006)

M.J. Barber, Ph. Blanchard, E. Buchinger, B. Cessac, L. Streit. Learning as a social process: a model based on Luhmann's systems theory. Journal of Artificial Societies and Social Simulation 9(4) (2006)

"A note on the representation of conditional expectations for non-Gaussian noise," (with Tobias Kuna) COSA 1, (2006)

"A Connection Between an Exactly Solvable Stochastic Optimal Control Problem and a Nonlinear Reaction Diffusion Equation" (with Filliger, R. ; Hongler, M.-O. ) ) Journal of Optimization Theory and Applications 137(1), 497-505, 2008.

Martin Grothaus, Ludwig Streit, Anna Vogel. "Feynman integrals as Hida distributions: the case of non-perturbative potentials", Astérisque, 327, 55-68 (2009)

“Free Kawasaki Dynamics in the Continuum” . RIMS Kokyuroku , Kyoto 1658, 169-171 (2009).

"The Complex Scaled Feynman-Kac Formula for Singular Initial Distributions" (with M. Grothaus, A. Vogel). Stochastics, 2010.

"Intersection Local times of independent fractional Brownian motions as generalized white noise functionals".(with M.-J. Oliveira, J. L. Silva). Acta Applicanda Mathematicae 113, 17-39 (2010).

Self-avoiding fractional Brownian motion - The Edwards model (with M. Grothaus, M.J. Oliveira, J.-L. Silva ). J. Stat.Phys.145, Number 6, 1513-1523,. 2011

Artigos em revistas de circulação internacional com arbitragem científica

- "Die Gewichtsfunktion der Mandelstamdarstellung am Rande ihres Trägers" - Il Nuovo Cimento 23, 934 (1962).

"Eine Landausingularität der exakten Streuamplitude" - Acta Physica Austriaca 16, 12 (1963).

"S-Matrix Theory and Current Operator in Quantum Field Theory" - Il Nuovo Cimento 34, 198 (1964).

Eeine Unitaritäts-Bedingung für den Stromoperator in der Klein-Gordon-Gleichung Acta Phys. Austriaca 20 (1-4): 38 1965

"An Introduction to Theories of Integration over Function Spaces " - Acta Physica Austriaca, Suppl. II, 2 (1966).

"Generalized and Reducible Fields in Fock Space" - Helvetica Physica Acta 39, 65 (1966).

"Test Function Spaces for Direct Product Representations of the Canonical Commutation Relations" - Comm. math. Phys. 4, 22 (1967).

"Unitarity of Pauli Transformations" - Il Nuovo Cimento 57, 140 (1968).

"A Generalization of Haag\'s Theorem" - Il Nuovo Cimento 62, 673 (1969).

"Properties of Quadratic Representations of the Canonical Commutation Relations" (with J. R. Klauder) - J. Math. Phys. 10, 1661 (1969).

"Quantum Field Theory on Light-like Slabs" (with J. R. Klauder and H. Leutwyler) - Il Nuovo Cimento 66, 536 (1970).

"The Construction of Physical States in Quantum Field Theory" - Acta Physica Austriaca Suppl. VII, 335 (1970).

"Generalized Free Fields as Cyclic Representations of the Canonical Commutation Relations" - Acta Physica Austriaca 32, 107 (1970)

"Tachyon Quantization" (with J. R. Klauder ) - Boulder Lectures in Theoretical Physics, vol. XIV B (1973), p.539.

"Dilation and Conformal Invariance on Null Planes (with F. Rohrlich) - Il Nuovo Cimento 7 B, 166 (1973).

"Exact Solution of the Quadratic Interaction Hamiltonian" (with W. J. Eachus) - Rep. Math. Phys. 4, 161 (1973).

"Model Calculation of the Vacuum Energy Density for a Self-Coupled Bose Field" (with L. Pittner) - Acta Physica Austriaca 38, 361 (1973).

"Optical Equivalence Theorem for Unbounded Observables" (with J. R. Klauder) - J. Math.Phys. 15, 760 (1974).

"On the Interference between Coulomb and Short Range Interactions" (with W. Plessas, H. Zingl) - Acta Physica Austriaca 40, 274 (1974).

"On Interactions which cannot be Turned Off" - Acta Physica Austriaca 42, 9 (1975).

"The Construction of Quantum Field Theories" - in Uncertainty Principle and Foundations of Quantum Mechanics - A Fifty Years Survey (S.S. Chissick, ed.), London 1976.

"Lightlike Initial Data for Quantum Field Theory" - in Proc. XIII. Winter School for Theoretical Physics, Karpacz 1975.

"The Wondrous Things. A Review of Probabilistic Concepts in Quantum Dynamics" - Acta Physica Austriaca Suppl. XV, 7 (1976).

"Stability of Scattering Phase Shifts" (with J. Froehlich) - Acta Physica Austriaca 47, 125 (1977).

"On Quantum Theory in Terms of White Noise" (with T. Hida) - Nagoya Math. J. 68, 21 (1977).

"Energy Forms, Hamiltonians, and Distorted Brownian Paths" (with S. Albeverio, R. Hoegh-Krohn) - J. Math. Phys. 18, 907 (1977)..

"A Renormalization Group model with Non-Gaussian Fixed Point" (with W. Karwowski) - Rep. Math. Phys. 13, 1 (1978).

"Regularization of Hamiltonians and Processes" (with S. Albeverio, R. Hoegh-Krohn) - J. Math. Phys. 21, 1636 (1980).

"Coulomb Corrections in N-N Coupled States" (with J. Froehlich, H. Zankel) - Phys. Lett. 92B, 8 (1980).

"Simple Coulomb Correction for Phase Shifts and Application to the p-p System" (with J. Froehlich, H. Zankel, H. Zingl) - Journ. Phys. G 6, 841 (1980).

"Capacity and Quantum Mechanical Tunneling" (with S. Albeverio, M. Fukushima, W. Karwowski) - Comm. math. Phys. 81, 501 (1981).

"Energy Forms, Schroedinger Theory, Processes" - Phys. Reports 77, 363 (1981).

"Generalized Brownian Functionals and the Feynman Integral" (with T. Hida) - Stoch. Proc. Appl. 16, 55 (1983).

"An Improvement of Coulomb Corrections in the Phase Shift Analysis of Elastic π-O¹⁶ Scattering and Predictions of the Cross Sections for π⁻-O¹⁶ Scattering at Low Energies (with J. Froehlich, H. G. Schlaile, H. Zingl) - Z. Phys. A 302, 89 (1981).

"Prediction of n-alpha Phase Shifts from p-alpha Data between 20 and 35 MeV" (with J. Fröhlich, H. Zankel) - Nucl. Phys. A 384, 97 (1982).

"A Separable Approach to the B-S Equation and its Application to Nucleon-Nucleon Scattering" (with K. Schwarz, J. Froehlich, H. Zingl) - Acta Physica Austriaca 53, 191 (1981).

"Charged Particles with Short Range Interactions" (with S. Albeverio, F. Gesztesy, R. Hoegh-Krohn) - Ann. Inst. H. Poincaré 37, 263 (1983).

"Exact Solution of a Quasipotential Equation for Charged Spinless Particles" (with I. Todorov) - Rep. Math.Phys. 24, 95 (1986).

"Separable Bethe-Salpeter Equation Kernels for Pion-Nucleon Scattering (with J. Froehlich, K. Schwarz, H. Zingl) - Phys. Rev. C 25, 2591 (1982)

"Model Dependence of Coulomb-Corrected Scattering Lengths" (with S. Albeverio, L. S. Ferreira, F. Gesztesy, R. Hoegh-Krohn) - Phys. Rev. C 29, 680 (1984).

"Low Energy Parameters in Nonrelativistic Scattering Theory" (with S. Albeverio, D. Bollé, F. Gesztesy, R. Hoegh-Krohn) - Ann. Phys. 148, 308 (1983).

"Stochastic Processes - Quantum Physics" - Acta Physica Austriaca Suppl. XXVI, 3 (1984).

"Separable Potentials from Gamow States" (with M. Baldo. L. S. Ferreira) - Phys. Rev. C 32, 685 (1985).

"On the Connection between Schrödinger and Dirichlet Forms" (with S. Albeverio, F. Gesztesy, W. Karwowski) - J. Math. Phys. 26, 2546 (1985)

"Charged Particles with a Short Range Force: Perturbation Theory with Respect to the Range and other Small Effects" (with F. Gesztesy, G. Karner) - J. Math. Phys. 27, 249 (1986).

"Convergence of Dirichlet Forms and Associated Schrödinger Operators" (with S. Albeverio, S. Kusuoka) - J. Funct. Anal. 68, 130 (1986).

"An Exactly Solvable Periodic Schrödinger Operator" (with F. Gesztesy, C, Macedo) - J. Phys. A: Math. Gen. L503 (1985).

"Three Nucleon Bound State Collapse with Tabakin Potentials" (with G. Rupp, J. A. Tjon) - Phys. Rev. C 31, 2285 (1985).

"Gamow Separable approximations for Realistic N-N Interactions: Single Channel Case" (with M. Baldo, L. S. Ferreira, T. Vertse) - Phys. Rev. C 33, 1587 (1986).

"Scattering Theory for General, non-Local Interactions: Threshold Behaviour and Sum Rules" (with D. Bollé, F. Gesztesy, C. Nessmann) - Rep. Math. Phys.

"Gamow Vectors as Solutions of a Non-Hermitian eigenvalue Problem" (with M. Baldo, L. S. Ferreira) - Nucl. Phys. A 467, 44 (1987).

"Eigenvalue Problem for Gamow Vectors and a Separable Approximation for the NN Interaction (with M. Baldo, L. S. Ferreira) - Phys. Rev. C 36, 1743 (1987).

"On the Origin of Chaos in Gearbox Models" (with M.O. Hongler) - Physica 29D, 402 (1988).

"Dirichlet Forms and White Noise Analysis" (with T. Hida, J. Potthoff) - Comm. math. Phys. 116, 235 (1988).

"An Inverse Problem for Stochastic Differential Equations" (with S. Albeverio, Ph. Blanchard, S. Kusuoka) - J. Stat. Phys. 57, 347 (1989).

"A Remark on the Second Virial Coefficient in the Quantum Lorentz Model (with C. Carvalho) - J. Phys. A: Math. Gen. 21, 3739 (1988).

Publicações em actas de encontros científicos

- "A Correct Formulation for Non-Relativistic Point Interactions of N>2 Particles" and

"Coulomb Correction in Proton-Proton Scattering" (with J. Froehlich, H. Zankel, H. Zingl) - in Proc. 4eme Session Biennale de Physique Nucleaire, tome 2, Lyon 1977

"Null Plane Fields and Automodel Processes" and

"Construction of a Class of Characteristic Functionals" (with R. Gielerak, W. Karwowski) - in Feynman Path Integrals (S. Albeverio et al. eds.), Springer Lecture Notes in Physics no. 106.

"The Coulomb Contribution to p-p Scattering Phase Shifts" (with J. Froehlich, H. Zankel, H. Zingl) - Invited contribution, 8th Intl. Conf. on Few Body Systems and Nuclear Forces, Springer Lecture Notes in Physics 82, p.109, 1978.

"Generalized Brownian Functionals" (with T. Hida), VI. Conf. Math. Phys. Berlin 1981, Springer Lecture Notes in Physics, no. 153, 285-287, 1982.

"White Noise Analysis and its Application to Feynman Integral" (with T. Hida) - in Measure Theory and its Applications (J. M. Bellay et al., eds.) Springer Lecture Notes in Mathematics no. 1033, 1983

"Tabakin-Like Separable Kernels for the NN-Bethe-Salpeter Equation" (with G. Rupp, J. A. Tjon) - Proc. "Few-Body X" Karlsruhe 1983, vol.1, p.149.

"Quantum Mechanical Low Energy Scattering in Terms of Diffusion Processes" (with S. Albeverio, Ph. Blanchard, F. Gesztesy) - Springer Lecture Notes in Mathematics no. 1109, p.2o7, 1985.

"Capacity, Green\'s Functions and Schroedinger equation" (with S. Albeverio, W. Karwowski, M. Roeckner) - in Infinite Dimensional Analysis and Stochastic Processes, Pitman 1985.

"Quantum Theory and Stochastic Processes - Some Contact Points" Invited Lecture, XV. Conf. Stoch. Proc. Appl., Springer Lecture Notes in Mathematics no.1203, p.197, 1985.

"Map Dynamics in Gearbox Models" (with M. de Faria, R. Vilela Mendes) - in "Mathematics in Industry" (H. Neunzert, ed.), Teubner, Stuttgart 1988.

"Analytical Estimates of Level Spacing for the Hydrogen Atom in a Strong Magnetic Field" (with L. Vazquez, R. Vilela Mendes) - in "Essays on classical and Quantum Dynamics", Gordon & Breach, 1991.

"Energy Forms in Terms of White Noise" in "Algebra and Analysis in Classical and Quantum Dynamics", (S. Albeverio et al, eds.) p.255, Reidel 1990

"Generalized Radon-Nikodym Derivatives and Cameron-Martin Theory" (with J. Potthoff) - in "Gaussian Random Fields" (K. Ito and T. Hida, eds.) World Scientific, Singapore, 1991

"The Characterization Theorem for Hida Distributions. Generalizations and Applications." - UMa-Mat 3/91, in Proc. III. Int. Conf. Stoch. Proc., Physics and Geometry.

"White Noise Analysis and what it can do for Physics" (with J. Potthoff) - in "Gaussian Random Fields" (K. Ito and T. Hida, eds.) World Scientific, Singapore, 1991.

"A Generalization of the Characterization Theorem for Generalized Functions of White Noise" (with W. Westerkamp) - In: "Dynamics of Complex and Irregular Systems" Ph. Blanchard et al. eds., World Scientific, Singapore, 1993.

"How to Generalize White Noise Analysis to non-Gaussian Measures" (with S. Albeverio, Yu. G. Kondratiev) - In: "Dynamics of Complex and Irregular Systems" Ph. Blanchard et al. eds., World Scientific, Singapore, 1993.

"The Feynman Integral -Recent Results" - In: "Dynamics of Complex and Irregular Systems" Ph. Blanchard et al. eds., World Scientific, Singapore, 1993.

"White Noise Analysis and Functional Integrals", in "Mathematical Approach to Fluctuations" T. Hida, ed., World Scientific.

"Hida Distributions and More" in "Mathematical Approach to Fluctuations" vol. 2, T. Hida, ed., World Scientific.

"A New Look at Functional Integration", in Proc. Capri Conf., World Scientific.

"Some Recent Results in White Noise Analysis" (with M. de Faria) in "Stochastic analysis on infinite dimensional spaces" , Kunita and Kuo, eds., Longman, 1994.

"Stochastic Differential Equations. A Pedagogical Random Walk." Proc. Euroconf. "Non-linear Klein-Gordon and Schrödinger Equations", El Escorial, 1995.

"The Burgers Equation with a Non-Gaussian Random Force" (with F. Benth), In "Stochastic Analysis and Related Topics" (Decreusefond, L., Gjerde, J., Øksendal, B., Üstünel, A. S. eds.), Stochastic Monographs vol. 6, Birkhäuser, p. 187-210, 1998.

"Representations of diffeomorphisms on compound Poisson spaces". In H. Heyer, J. Marion (eds.): Analysis on infinite dimensional Lie algebras and groups. World Scientific, 1998.

"Some Observations on stochastic vs. quantum dynamics - following Ezawa, Klauder, and Shepp" p. 9-18 Proc. 2nd Jagna Intl. Workshop Mathematical Methods of Quantum Physics, (C. Bernido et al., eds.) p. 9-18, Gordon+Breach, 1999.

"The square of self intersection local time of Brownian motion" (with C. Drumond, M. de Faria) in "Stochastic Processes, Physics and Geometry", in honour of Sergio Albeverio, Canadian Math. Soc Conf. Proc. 26, 115-122, 2000,

“Beyond Fock Space. An Introduction to Infinite Dimensional Analysis for Physicists”. In Proc. 4th Jagna International Workshop: Methods and Applications of Infinite-Dimensional Analysis, Jagna, Bohol, the Philippines.

“Weisses Rauschen: Vom Ursprung in der Physik” in „Weißes Rauschen“, H. Piehler, ed., transcript /PRO, 2006.

Feynman Integrals as Generalized Functions on Path Space: Things done and open problems. Proceedings PI07, MPI Dresden, 2007.

"Infinite Dimensional Analysis and Modern Physics" . Proceedings da conferência em homenagem a A.L.L. Videira, Editora da Univ. de Aveiro (2008)

“Searching for Communities in Bipartite Networks” (with M. J. Barber, M. Faria, O. Strogan), in "Stochastic and Quantum Dynamics of Biomolecular Systems" (C.C. Bernido, M. V. Bernido, eds.) AIP Conference Proceedings 1021, p.171-182 (2008).

"Poisson Noise and the Dynamics of Infinite Particle Systems", in "QP- PQ Quantum Probability and White Noise Analysis vol. 26" p. 349-360. World Scientific 2010.

"NetzCope: A Tool for Displaying and Analyzing Complex Networks" (with Michael J. Barber, Oleg Strogan) "QP-PQ: Quantum Probability and White Noise Analysis - Vol. 28 , L. Accardi, W. Freudenberg and M. Ohya (Eds.) p. 437-450. World Scientific, Singapore 2011. http://arxiv.org/abs/1006.4294v2

Self-repelling fractional Brownian motion - a generalized Edwards model for chain polymers (with J. Bornales, M. J. Oliveira). In "Quantum Informatics V" L. Accardi, W. Freudenberg and M. Ohya (Eds.) p. 389-402. World Scientific, Singapore, 2013.

Capítulos de livros

- "Mathematik und Physik - Interdisziplinarität als Voraussetzung" - in Interdisciplinary Systems Research, vol. 24 , Birkhaeuser, Basel, 1976.<br>"White Noise Analysis and the Feynman Integral" - in Functional Integration, Theory and Application (J.P. Antoine, E. Tirapegui, eds.), p.43, Plenum 1980.<br>"White Noise Analysis and Applications" (with T. Hida, J. Potthoff) - in Mathematics+Physics, vol.3, World Scientific, Singapore 1989.<br>"White Noise Analysis - Theory and Applications" - Qu. Prob. Rel. Topics VII, 337 (1992).<br>"Quasi-Energies, Loss-Energies and Stochasticity" (with G. Karner, V. I. M´anko) - Rep. Math. Phys. 29, 177 (1990).<br>"Quantum Kicks and Stochasticity" (with G. Karner, V. I. Manko) - Lebedev Physical Institute Proceedings 208, 226 (1991), Nauka, Moscow. English translation: Nova Science Publ., Commack, N.Y., 1992.<br>"An Introduction to White Noise Analysis" in "Stochastic Analysis and Applications in Physics" (A. I. Cardoso, M. de Faria, J. Potthoff, R. Seneor, L. Streit, eds.), Kluwer, Dordrecht 1994.<br>"Functional Integrals for Quantum Theory", in "Methods of Quantization", H. Latal, W. Schweiger, eds. Springer, 2001.<br> ez : "Feynman Paths, Sticky Walls, White Noise", in "A Garden of Quanta", J. Arafune et al., eds., World Scientific, 2003.

## Communications

Comunicações orais por convite

Second Sino-German Meeting on Stochastic Analysis. Beijing, March 19--March 23, 2007: "Laplaceans on Graphs: the case of the R&D networks under the EU framework programmes".

NEMO Workshop, "Conceptual and empirical foundations of R&D network dynamics" University College Dublin, 27-28 June 2007: "Comparisons of EU Research Networks and Simulations"

Conference Stochastics and Real World Models II, ZiF, Univ. Bielefeld, August 27-31, 2007: "Portraits of Large Networks"

Path Integrals - New Trends and Perspectives, International Conference, September 23 - 28, 2007, MPI Dresden: "Feynman integrals as generalized functions on path space: Things done and open problems"

NEMO Workshop on "Network formation rules", Vienna, 14 -- 15 November 2007: "Structural analysis and graphical representation of real world data".

5th International Workshop, Stochastic and Quantum Dynamics of Biomolecular Systems, RCTP, Jagna, Philippines, January 2008: "Finding communities in large bipartite networks" and "Walking on a net: A glimpse at the spectral theory of graphs"

„EU Research Networks - A Case Study" Conference on Evolution and Structure of Complex Systems and Networks: Basic Techniques and Applications, ZiF, Univ. Bielefeld, February 25 - 29, 2008

International Conference on Stochastic Analysis and Related Fields, April 7--11, 2008, Huazhong University of Science and Technology, Wuhan, China. "Feynman integrals as generalized functions of white noise: beyond perturbation theory"

29-th Conference on Quantum Probability and Related Topics, 13-18 October, 2008, Hammamet (Tunisia): “European Collaborative Research : Spectral Properties of a Real World Network “

RIMS Workshop "Non-Commutative Analysis and Micro-Macro Duality", Kyoto University, November 4 - November 6, 2008: “Free Kawasaki dynamics in the continuum".

Third QBIC Conference, Tokyo, March 11-14, 2009: "POISSON NOISE AND THE DYNAMICS OF INFINITE PARTICLE SYSTEMS"

Math. Soc. of the Philippines Annual Convention 21-22 May, 2009, Cagayan de Oro: “Infinite Dimensional Analysis - From Gauss to Poisson”

"Stochastics and Real World Models 2009", Bielefeld University, May 25-29, 2009: “Sergio and the Ground State”

Jan Lopuszanski Memorial Symposium, Wroclaw University, May 29-30, 2009: “Infinite particle systems”

ZiF Workshop Complexity, Mathematics and Socio-Economic Problems, 30.08.2009 - 12.09.2009: “NetzCope: A tool to analyze and display complex R&D collaboration networks.”

“International Conference on Stochastic Analysis and Applications”, Hammamet, 12 -17 October, 2009: “Path integrals - New Methods and Results”

“Evaluating R&D collaboration networks in Europe: Lessons from a comprehensive interdisciplinary approach”, ZiF, Bielefeld October 20 - 23, 2009: “NetzCope - a tool to analyze and display complex R&D collaboration networks”

NEMO user group meeting, Brussels, October 30, 2009: “NetzCope: A new tool for structural analysis of networks”

QBIC 2010, Tokyo University of Science. March 2010: NetzCope: A Tool for Displayind and analyzing complex Networks

· Chinese-German Meeting on Stochastic Analys is and Related Fields,Beijing May 3-7, 2010: "The Mathematics of Feynman Integrals: A Progress Report"

· Symposium on Probability and Analysis, Institute of Mathematics, Academia Sinica Taipei August 10-12, 2010: "Self-avoiding fractional Brownian motion - The Edwards model"

· 12th SPVM National Physics Conference, CPU Iloilo, October 21-23, 2010: "The Era of Complexity: New Challenges to the Physics Community"

· ICQBIC'11, Tokyo Science University, March 7 - 14, 2011: "Self-Avoiding Polymer Configurations - An Extension of the Edwards Model"

· Joint meeting of the IRTGs Beijing/Bielefeld and Berlin/Zurich TU Berlin 30 March - 01 April 2011

· International Conference on Stochastic Analysis and Applications" , Hammamet,Tunisia, October 10-15 , 2011: "Self-repelling Fractional Brownian Motion - the Edwards Polymer Model"

· 6th Jagna International Workshop: Mathematical Analysis, Modelling, and Simulation in Interdisciplinary Sciences; Bohol, Philippines, 4--7 January 2012: "Fractional Brownian Polymers - Some First Results"

· Infinite Dimensional Analysis, Quantum Probability and Statistics, Aichi Prefectural University, Japan, January 7-9, 2013: "Polymer conformations and fractional Brownian motion: analytic approaches"

· DOST National Science Conference, Manila, February 2013: "From Brownian Motion to Polymers - Random Walk with a Memory"

· ZiF workshop «Fusion of knowledge in stochastic modelling of large complex systems»" , June 10 - 14, 2013: "Scaling Properties of Self-repelling Fractional Brownian Motion"

Comunicações orais por convite

7th Jagna International Workshop Analysis of Fractional Stochastic Processes - Advances and Applications, Jagna, the Philippines, January 6-9, 2014: "Fractional Brownian Motion and Polymers: Learning from each other."

Workshop on IDAQP and their Applications, National University of Singapore, 3 - 7 March 2014: "Polymer measures: A Progress Report"