Personal Data
Full name
Maria João Chaves Marques da Cunha Oliveira
Publishing name
Maria João Oliveira
Birthday
19690322T00:00:00
Academic Degrees
DOUTORAMENTO(0)
Degree date
2002
Final grade
Distinção e Louvor
Degree granting institution
Universidade de Lisboa
School / College / Campus
Faculdade de Ciências
Thesis title
Configuration Space Analysis and Poissonian White Noise Analysis
Supervisor

Cosupervisor

Scientific area
Matemática
MESTRADO(2)
Degree date
1996
Final grade
Muito Bom
Degree granting institution
Universidade de Lisboa
School / College / Campus
Faculdade de Ciências
Thesis title
Unicidade de Solução de Equações Diferenciais Estocásticas (in Portuguese)
Supervisor

Cosupervisor

Scientific area
Matemática
Profissional activity
Period  Position  Institution 

01101999  30092002  PhD Grant (PRAXIS XXI/BD/20000/99)  Institute of Applied Mathematics and BiBoS, University of Bonn (Germany): 19992000; Faculty of Mathematics and BiBoS, University of Bielefeld (Germany): 2000March 2002 
01091996  08112002  Auxiliary Assistant (in Portuguese "Assistente")  Universidade Aberta 
09112002   Auxiliary Professor (in Portuguese "Professora Auxiliar")  Universidade Aberta 
Area of scientific activity
Area of scientific activity
Mathematical Physics
Specialization domain
Stochastic Analysis
Current main scientific area
Infinite Dimensional Analysis, Interacting Particle Systems
Other scientific activities
Reviewer for the Mathematical Reviews of the American Mathematical Society.
Member of the Research Center "Centro de Matemática, Aplicações Fundamentais e Investigação Operacional (CMAFCIO)", University of Lisbon.
Experience as scientific advisor
Wolfgang Bock, Postdoctoral fellowship (PhD in Mathematics, University of Kaiserslautern, Germany, February 2013), September 2013August 2014 at CMAF (under the research project PTDC/MATSTA/1284/2012).
Participations in R&D projects
Project Coordinator:
PTDC/MATSTA/1284/2012  Scaling properties for chain polymers modeled by fractional Brownian motion paths (CMAF, June 2013June 2015).
Research team member of the following scientific research projects:
PTDC/MAT/100983/2008  Stochastic Evolutions, Dissipative Evolutions and Statistical Mechanics (CMAF, February 2010  July 2013).
FCT/1560/25/1/2012/S Cooperation Portugal/France Program Pessoa 2012/2013 (cofunded by FCT/MCTES and COMPETE) Fluctuations of weakly and strongly asymmetric systems (Centro de Matemática da Universidade do Minho, University of Minho, 2012  2013)
PTDC/MAT/67965/2006  Infinite Dimensional Analysis and Applications in Statistical and Quantum Physics (CCM, June 2007  May 2010).
PPCDT/MAT/58321/2004  Networks: Real World Models and Mathematical Analysis (CCM, January 2007  October 2010).
GRICES Proc.o 4.1.5 Tunisia  Scientific and tecnologic bilateral cooperation PortugalTunisia (CMAF and Department of Mathematics of the Faculty of Sciences of the University of Tunis El Manar, 2006  2007).
PDCT/MAT/57976/2004  "Técnicas Ergódicas e Simbólicas em Dinâmica de Redes: Teoria e Aplicações" (CMAF, November 2005  October 2008).
POCI/MAT/61931/2004  Geometric evolutions, Stochastic evolutions and Related Problems in Statistical Mechanics (CMAF, Abril 24, 2005  April 23, 2008).
GRICES Proc.o 4.1.5 Tunisia  Scientific and tecnologic bilateral cooperation PortugalTunisia (Grupo de Física Matemática, University of Lisbon and Department of Mathematics of the Faculty of Sciences of the University of Tunis El Manar, 2004  2005).
POCTI/40706/MAT/2001  Infinite Dimensional Analysis and Applications (CCM, February 15, 2002  December 2006).
POCTI/MAT/34924/1999  Classical versus quantum dynamics and their mathematical tools (Grupo de Física Matemática, University of Lisbon, October 2000  September 2005).
Awards
Year  Award  Awarding entity 

Publications
Capítulos de livros
 White Noise Analysis: An Introduction. In T. Hida and L. Streit (Eds.), "Let Us Use White Noise", 136. World Scientific Publ. Co., 2017. ISBN: 9789813220935
Livros (editor)
 Bernido, C. C., CarpioBernido, M. V., Grothaus, M., Kuna, T., Oliveira, M. J., da Silva, J. L. (Eds) "Stochastic and Infinite Dimensional Analysis", Trends in Mathematics, Birkhäuser, 2016. ISBN: 9783319072449
Publicações em actas de encontros científicos
 An infinite dimensional umbral calculus. Oberwolfach Reports 14 (Issue 1), 800803, 2017 (published online, 2018).
Fractional Boson gas and fractional Poisson measure in infinite dimensions (with R. Vilela Mendes). In P. Gonçalves and A. J. Soares (Eds.), From Particle Systems to Partial Differential Equations II. Particle Systems and PDEs II, Braga, Portugal, December 2013. Springer Proc. Math. Stat. vol. 129 (2015), 293312.
A survey on Bogoliubov generating functionals for interacting particle systems in the continuum (with D. L. Finkelshtein). In C. Bernardin and P. Gonçalves (Eds.), From Particle Systems to Partial Differential Equations. Particle Systems and PDEs, Braga, Portugal, December 2012. Springer Proc. Math. Stat. vol. 75 (2014), 161177.
Selfrepelling fractional Brownian motion  a generalized Edwards model for chain polymers (with J. Bornales and L. Streit). In L. Accardi, W. Freudenberg, M. Ohya (Eds.), Quantum BioInformatics V. Proceedings of Quantum BioInformatics 2011. Quantum Probability and White Noise Analysis vol. 30, 389401. World Scientific Publ. Co., Singapure, New Jersey, London, 2013.
Studies in fractional Poisson measures (with J. L. Silva). Int. J. Mod. Phys. Conf. Ser. 17 (2012), 122129.
Fractional Brownian polymers  some first results (with J. Bornales, S. Eleutério and L. Streit). Int. J. Mod. Phys. Conf. Ser. 17 (2012), 5465.
Intersection local times of fractional Brownian motions with $H\in(0,1)$ as generalized white noise functionals (with C. Drumond and J. L. Silva). In C. C. Bernido and M. V. Bernido (Eds.), 5th Jagna International Workshop "Stochastic and Quantum Dynamics of Biomolecular Systems", Jagna, Bohol (Philippines), 35 January 2008. AIP Conference Proceedings 1021(1)(2008), 3445.
Teses
 Configuration Space Analysis and Poissonian White Noise Analysis. Tese de Doutoramento, Universidade de Lisboa, Lisboa, 2002.<br><br>Unicidade de Solução de Equações Diferenciais Estocásticas. Tese de Mestrado, Universidade de Lisboa, Lisboa, 1995.
Artigos em revistas de circulação internacional com arbitragem científica
 Chaos decomposition and gap renormalization of Brownian selfintersection local times (with J. Bornales and L. Streit). Rep. Math. Phys. 77 (2) (2016), 141152.
Polymer measure: Varadhan's renormalization revisited (with W. Bock, J. L. Silva and L. Streit). Rev. Math. Phys. 27 (3) (2015), 1550009.
Noarbitrage, leverage and completeness in a fractional volatility model (with R. Vilela Mendes and A. M. Rodrigues). Physica A 419 (2015), 470478.
Dynamical WidomRowlinson model and its mesoscopic limit (with D. Finkelshtein, Yu. Kondratiev and O. Kutoviy). J. Stat. Phys. 158 (1) (2015), 5786.
Markov evolutions and hierarchical equations in the continuum. II: multicomponent systems (with D. L. Finkelshtein and Yu. G. Kondratiev).
Rep. Math. Phys. 71 (1)(2013), 123148.
Kawasaki dynamics in the continuum via generating functionals evolution (with D. L. Finkelshtein and Yu. G. Kondratiev). Methods Funct. Anal. Topology 18 (1) (2012), 5567.
Glauber dynamics in the continuum via generating functionals evolution (with D. L. Finkelshtein and Yu. G. Kondratiev). Complex Anal. Oper. Theory 6 (4) (2012), 923945.
Selfavoiding fractional Brownian motion  The Edwards model (with M. Grothaus, J. L. Silva and L. Streit). J. Stat. Phys. 145 (6) (2011), 15131523.
Intersection local times of independent fractional Brownian motions as generalized white noise functionals (with J.L. Silva and L. Streit). Acta Appl. Math. 113 (1) (2011), 1739.
Markov evolutions and hierarchical equations in the continuum I. Onecomponent systems (with D. L. Finkelshtein and Yu. G. Kondratiev). J. Evol. Equ. 9 (2) (2009), 197233.
A datareconstructed fractional volatility model (with R. Vilela Mendes). Economics Discussion Papers 2 (2008), Nº 200822.
Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces (with Yu. G. Kondratiev and T. Kuna). Condensed Matter Physics 11 (2008), Nº 2 (54), 237246.
Holomorphic Bogoliubov functionals for interacting particle systems in continuum (with Yu. G. Kondratiev and T. Kuna). J. Funct. Anal. 238 (2) (2006), 375404.
Feynman integrals for nonsmooth and rapidly growing potentials (with M. de Faria and L. Streit). J. Math. Phys. 46 (6) (2005), Art. No. 063505.
On the relations between Poissonian white noise analysis and harmonic analysis on configuration spaces (with Yu. G. Kondratiev and T. Kuna). J. Funct. Anal. 213 (1) (2004), 130.
Analytic aspects of Poissonian white noise analysis (with Yu. G. Kondratiev and T. Kuna). Methods Funct. Anal. Topology 8 (4) (2002), 1548.
Intersection local times of independent Brownian motions as generalized white noise functionals (with S. Albeverio and L. Streit). Acta Appl. Math. 69 (3) (2001), 221241.
A generalized ClarkOcone formula (with M.de Faria and L.Streit). Random Oper. Stoch. Equ. 8 (2) (2000), 163174.
An uniqueness result for a class of Wiener space valued stochastic differential equations. Potential Anal. 11 (1) (1999), 7799.
Communications
Comunicações orais por convite
"An infinite dimensional umbral calculus". Laboratoire J. A. Dieudonné (CNRS  Université de Nice Sophia Antipolis), Nice, France, November 27December 1, 2017.
"An infinite dimensional umbral calculus". Madeira Math Encounters XLVI, Infinite Dimensional Analysis and Applications, Universidade da Madeira, August 29, 2017.
"A new approach to the combinatorial harmonic analysis on configuration spaces. Arrábida Meeting and Lisbon Workshop ``Mathematical Approaches to Complex Systems: Statistical Mechanics and Partial Differential Equations'', Convento da Arrábida e Departamento de Matemática da Faculdade de Ciências da Universidade de Lisboa, July 37, 2017.
"An infinite dimensional umbral calculus". Oberwolfach Workshop ``Real Algebraic Geometry with a View Toward Moment Problems and Optimization'', MFO (Mathematisches Forschungsinstitut Oberwolfach), Germany, March 511, 2017.
"Dynamical WidomRowlinson model and its mesoscopic limit". International Conference `` Probability, Reliability and Stochastic Optimization'' (plenary session), Taras Shevchenko National University of Kiev, Ukraine, April 710, 2015.
"Kawasaki dynamics in the continuum". Workshop ``Complex Systems of Interacting Particles'', ZiF (University of Bielefeld), Germany, May 1922, 2014.
"Asymptotic scaling of selfrepelling fractional Brownian motion". Particle Systems and PDE's  II, CMAT, Universidade do Minho, December 1213, 2013.
"Dynamical WidomRowlinson model and its mesoscopic limit". Statistical Dynamics of Complex Systems, XIV Arrábida Meeting ``Caminhos da Complexidade'', July 14, 2013.
"Dynamical WidomRowlinson model and its mesoscopic limit. IV Workshop ``Fusion of Knowledge in Modelling of Large Stochastic Systems'', June 1014, 2013.
"Glauber dynamics in the continuum: generating functionals approach". International Conference on Particle Systems and PDE's, CMAT, Universidade do Minho, December 57, 2012.
"Glauber dynamics in the continuum: generating functionals approach" II Workshop ``Qualitative Behaviour of Stochastic Systems and Applications'', ZiF (University of Bielefeld), Germany, July 1822, 2012.
"Markov dynamics in the continuum: generating functionals approach". 6th Jagna International Workshop: Mathematical Analysis, Modelling, and Simulation in Interdisciplinary Sciences, Jagna (Philippines), January 47, 2012.
"Glauber dynamics in the continuum via generating functionals evolution". Annual meeting of German Mathematical Society, Minisymposium “Wechselwirkende Teilchensysteme und zugehoeige nichtlineare (stochastische) Bewegungsgleichungen”, Cologne (Germany), September 19—22, 2011.
"New analytic approach to the Glauber dynamics in the continuum". Bielefeld Stochastics Afternoon, Collaborative Research Centre ``Spectral Structures and Topological Methods in Mathematics'', Faculty of Mathematics, University of Bielefeld (Germany), January 12, 2011.
"Bogoliubov functionals  An alternative approach to stochastic evolutions". Miniworkshop on Infinite Dimensional Analysis, University of Kaiserslautern (Germany), October 18, 2010.
"Stochastic dynamics of infinite particle systems". Workshop on Kinetics and Statistical Methods for Complex Particle Systems, Complexo Interdisciplinar, University of Lisbon, July 2024, 2009.
"Stochastic dynamics of infinite particle systems". Workshop ``Stochastic Population Dynamics and Applications in Spatial Ecology'', International Center for Mathematical Sciences, Edinburgh (United Kingdom), June 1520, 2009.
"Dinâmica de sistemas de partículas em meios contínuos: novos desenvolvimentos em análise" (in Portuguese). Seminar on Analysis, Centro de Matemática e Aplicações, FCT, Universidade Nova de Lisboa, May 20, 2009.
"Markov evolutions in the continuum: the multicomponent case". Madeira Math Encounters XXXV, Infinite Dimensional Analysis and Applications to Feynman Integrals and Particle Systems. University of Madeira, July and August, 2008.
"Markov evolutions in the continuum". 5th Jagna International Workshop: Stochastic and Quantum Dynamics of Biomolecular Systems (In honor of Ludwig Streit’s and Frederik Wiegel’s 70th birthday), Jagna (Philippines), January 35, 2008.
"Markov evolutions in the continuum and hierarchical equations". International Conference on Complex Systems: Theory and Applications, Kazimierz Dolny (Poland), June 2429, 2007.
"Markov evolutions in continuum and hierarchical equations". Bielefeld Stochastics Afternoon/BiBoSSeminar on Mathematical Physics, University of Bielefeld (Germany), December 13, 2006.
"Bogoliubov functionals: from measure theory to functional analysis". Centro de Análise Matemática, Geometria e Sistemas Dinâmicos, IST, Universidade Técnica de Lisboa, February 7, 2006.
"Quasiparticle representation for Markov generators in continuum". BiBoS (Seminar on Mathematical Physics), University of Bielefeld (Germany), November 2, 2005.
"Quasiparticle representation for Markov generators in continuum". International Conference on Probabilistic and Analytic Aspects of the Theory of Infinite Particle Systems, Kazimierz Dolny (Poland), October 2226, 2005.
"Bogoliubov functionals and stochastic evolutions in continuum". International Conference on Mathematical Analysis of Random Phenomena, Hammamet (Tunisia), September 1217, 2005.
Some classes of Markov processes on configuration spaces and related quasiparticle dynamics. Madeira Math Encounters XXIX, Quantum Control and Quantum Entanglement. University of Madeira, August, 2005.
Round table ``Stochastic Dynamics of Interacting Particle Systems: New Models, Problems, and Methods'', ZIF scientific project ``Stochastic Modeling in the Sciences: Stochastic Partial Differential Equations and Random Media'' (April 1September 15, 2005), Bielefeld (Germany), May 11, 2005.
"Poissonian white noise analysis and harmonic analysis on configuration spaces". Department of Mathematics, Faculty of Sciences, University of Tunis El Manar, Tunisia, April 5, 2005.
"Bogoliubov functionals and stochastic evolutions in continuum". BiBoS (Seminar on Mathematical Physics), University of Bielefeld (Germany), November 24, 2004.
"Feynman integrals for nonsmooth and rapidly growing potentials". Madeira Math Encounters XXVII  Networks, Stochastic Analysis, Production Engineering, University of Madeira, August, 2004.
"Da mecânica estatística à análise combinatória em espaços de configurações" (in Portuguese). Centro de Física Teórica e Computacional, University of Lisbon, March 3, 2004.
"Invariant measures for Glauber dynamics of continuous systems". Madeira Math Encounters XXV  Stochastic Analysis and Applications, satellite meeting of the XIV International Congress on Mathematical Physics ICMP 2003, CCM (University of Madeira), August, 2003.
"Invariant measures for Glauber dynamics of continuous systems". BiBoS (Seminar on Mathematical Physics), University of Bielefeld (Germany), July 18, 2003.
"Novos desenvolvimentos em análise de ruído branco Poissoniano" (in Portuguese). Centro de Matemática, University of Coimbra, January 15, 2003.
"New developments on harmonic analysis on configuration spaces and dynamical problems". Seminar on Stochastic Analysis, Institute of Applied Mathematics, University of Bonn (Germany), April 26, 2002.
"Poissonian white noise analysis and harmonic analysis on configuration spaces". International Conference on Functional Analysis, Institute of Mathematics of Ukrainian Academy of Sciences and Ukrainian Mathematical Society, Kiev (Ukraine), August 2226, 2001.
"Gibbs measures". Seminar on Theoretical Condensed Matter Physics, Faculty of Physics, University of Bielefeld (Germany), February 1, 2001.
"Poissonian white noise analysis". 5th International Conference on Mathematical Problems of Statistical Physics, Nor Amberd (Armenia), August 26September 2, 2000.
"A generalized ClarkOcone formula". CAESAR, University of Bonn (Germany), November 18, 1999.
"A generalized ClarkOcone formula". Institute of Applied Mathematics, University of Bonn (Germany), December 3, 1998.
"An uniqueness result for a class of Wiener space valued stochastic differential equations". Madeira Math Encounters XIV  Stochastic Analysis and Applications, University of Madeira, August, 1997.
"Unicidade de soluções de equações diferenciais estocásticas" (in Portuguese). Laboratório de Mecatrónica, IST, Universidade Técnica de Lisboa, April 30, 1996.
Outras comunicações orais
"An infinite dimensional umbral calculus". Bielefeld Stochastics Afternoon Seminars, University of Bielefeld (Germany), November 8, 2017.
"Selfrepelling fractional Brownian motion". Seminário de Física Matemática, Grupo de Física Matemática da Universidade de Lisboa, October 4, 2013.
"A construção de Varadhan para movimentos Brownianos fracionários" (in Portuguese). Seminar “Matemática na AbERTA”, Universidade Aberta, November 26, 2010.
"Varadhan's construction for fractional Brownian motion: The Edwards model". International Conference on Modern Stochastics: Theory and Applications II (In honor of A. Skorohod's, V. Korolyuk's and I. Kovalenko's anniversary)  Session ``Interacting Particle Systems'', Kiev National Taras Shevchenko University, Kiev (Ukraine), September 711, 2010.
"Celebrating the 100th anniversary of N.N. Bogoliubov (19091992)". Seminar on Analysis and Differential Equations, CMAF, University of Lisbon, November 5, 2009.
"Combinatorial harmonic analysis on configuration spaces: Poissonian white noise". Complexo Interdisciplinar, University of Lisbon, March 10, 2004.
"New developments on harmonic analysis on configuration spaces and dynamical problems". First SinoGerman Meeting on Stochastic Analysis  Statistical Mechanics and Particle Systems, satellite conference of the International Congress of Mathematics ICM 2002, Beijing (China), August 29September 3, 2002.
"Poissonian white noise analysis and harmonic analysis on configuration spaces". Workshop on Stochastic Analysis and Related Topics, St. Petersburg (Russia), June 411, 2001.
"Poissonian white noise analysis and harmonic analysis on configuration spaces". BiBoS (Seminar on Stochastic Analysis), University of Bielefeld (Germany), January 30, 2001.
"A generalized ClarkOcone formula". Complexo Interdisciplinar, University of Lisbon, February 3, 1999.
"Uma extensão da fórmula de Itô em dimensão infinita e aplicações" (in Portuguese). 2nd Meeting of the PRAXIS Scientific Project ``Física Matemática'', University of Madeira, February 1922, 1997.
"Unicidade de soluções de equações diferenciais estocásticas" (in Portuguese). 1st Meeting of the PRAXIS Scientific Project ``Física Matemática'', University of Aveiro, February 1013, 1996.
"Questões de unicidade de equações diferenciais estocásticas". Complexo Interdisciplinar, University of Lisbon, April 5, 1995.
Comunicações em painel ("poster")
"Invariant measures for Glauber dynamics of continuous systems". XIV International Congress on Mathematical Physics ICMP 2003  Path Integrals and Stochastic Analysis, University of Lisbon, July 28August 2, 2003.
"Poissonian white noise analysis and harmonic analysis on configuration spaces". Workshop on Stochastic Analysis: Geometric Aspects and Applications, Eindhoven (Netherlands), January 811, 2001.
"Poissonian white noise analysis". Conference on Stochastic Partial Differential Equations and Applications, Trento (Italy), January 1015, 2000.