## Personal Data

Full name

Rui Vilela Mendes

Publishing name

Rui Vilela Mendes

Birthday

1938-08-20T00:00:00

## Academic Degrees

AGREGAÇÃO(0)

Degree date

1980

Final grade

N/A

Degree granting institution

Universidade de Lisboa

School / College / Campus

Faculdade de Ciências

Thesis title

N/A

Supervisor

Co-supervisor

Scientific area

Matemática

DOUTORAMENTO(0)

Degree date

1970

Final grade

n/a

Degree granting institution

Outra

School / College / Campus

Other

Thesis title

Representations of local currents and related algebras

Supervisor

Co-supervisor

Scientific area

Física

## Profissional activity

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

01-01-1993 - 20-08-2008 | Investigador Coordenador | Universidade Técnica de Lisboa |

## Area of scientific activity

Area of scientific activity

Mathematical Physics

Nonlinear dynamics

Financial Mathematics

Specialization domain

Mathematics

Current main scientific area

Mathematical Physics, Mathematical Economics, Nonlinear dynamics

Other scientific activities

Multiagent simulation

## Experience as scientific advisor

Four Ph. D. thesis

Four Master thesis

## Participations in R&D projects

- Coordinator of two JNICT/FCT projects

- Local coordinator of an European project (TMR)

and a Marie Curie fellowship.

- Co-organizer of a special research year at

ZiF - University of Bielefeld

Member of several national and international projects

## Awards

Year | Award | Awarding entity |
---|

## Publications

Artigos em revistas de circulação internacional com arbitragem científica

- > 100 publications in international research magazines and books (see http://label2.ist.utl.pt/vilela/RVM-Publications.html).

Some recent publications:

- "Superprocesses on ultradistributions", Stochastics 89 (2017) 896-909.

- "The geometry of noncommutative space-time", Int. J. Theor. Phys. 56 (2017) 259--269.

- "A consistent measure for lattice Yang Mills", Int. J. of Modern Physics A 32 (2017) 1750016.

- "Detecting and quantifying ambiguity: a neural network approach", Soft Computing (2017) https://doi.org/10.1007/s00500-017-2525-7, (with R. Ligeiro)

- “Current algebra, statistical mechanics and quantum models”, Journal of Statistical Mechanics (2017) 113104.

- “Signal-adapted tomography as a tool for dust devil detection”, Aeolian Research 29 (2017) 12-22, (with C. Aguirre and al.)

- "Analytical study of growth estimates, control of fluctuations, and conservative structures in a two-field model of the scrape-off layer", Phys. Plasmas 24, 012303 (2017) (with J. P. Bizarro)

- "Signals on graphs: Transforms and tomograms", Physica A 450 (2016) 1-17, (with H. C. Mendes and T. Araujo)

- "An extended Dirac equation in noncommutative space-time", Mod. Phys. Lett. A 31 (2016) 1650089.

- "Long range dependence and the dynamics of exploited fish populations" (with H. C. Mendes and A. Murta), Advances in Complex Systems 18 (2015) 1550017

- "No-arbitrage, leverage and completeness in a fractional volatility model", Physica A 419 (2015) 470--478, (with M. J. Oliveira and A. M. Meireles)

- "Noncommutative tomography and signal processing", Physica Scripta 90 (2015) 074022.

- “Portfolios and the geometry of the market”, Physica A: Statistical Mechanics and its Applications 410 (2014) 226--235, (with S. Eleuterio and T. Araujo)

- "Signal recognition and adapted filtering by non-commutative tomography"

IET Signal Processing 8 (2014) 67 - 75 (with C. Aguirre)

- "A stochastic approach to the solution of magnetohydrodynamics equations"

J. Comp. Physics 242 (2013) 777-788 (with E. Floriani)

- "A laboratory scale fundamental time"

Eur. Phys. Journal C72 (2012) 2239

- "Cooperation, punishment, emergence of government and the tragedy of authorities"

Complex Systems 20 (2012) 363-374 (with C. Aguirre)

- "Ergodic parameters and dynamical complexity"

Chaos 21 (2011) 037115

- "On the problem of quantum control in infinite dimensions"

J. Phys. A: Math. Theor. 44 (2011) 135302 (with V. I. Man'ko)

- "An infinite-dimensional calculus for generalized connections in hypercubic lattices"

J. Math. Phys. 52 (2011) 052304

- "Poisson-Vlasov in a strong magnetic field: A stochastic solution approach", J. Math. Phys. 51 (2010) 043101

- "Stochastic solutions of some nonlinear partial differential equations"

Stochastics 81 (2009) 279-297

- "Stochastic solution of a KPP-like nonlinear partial differential equation"

Fractional Calculus and Applied Analysis, 12 (2009) 47-56 (with F. Cipriano and H.Ouerdiane)

- "Signal reconstruction by random sampling in chirp space"

Nonlinear Dynamics 56 (2009) 223-229 (with E. Carlen)

- "A fractional calculus interpretation of the fractional volatility model"

Nonlinear Dynamics 55 (2009) 395-399

- "From controlled dynamical systems to context-dependent grammars: A connectionistic approach"

Engineering Applications of Artificial Intelligence, 22 (2009) 192-200

(with J. Martins, J. A. Dente and A. J. Pires)

- "Universal families and quantum control in infinite dimensions"

Physics Letters A373 (2009) 2529-2532

- "A tomographic analysis of reflectometry data I: Component factorization"

Measurement Science and Technol. 20 (2009) 105501 (with F. Briolle, R. Lima and V. I. Man'ko)

- "Tomographic analysis of reflectometry data II: The phase derivative"

Measurement Science and Technol. 20 (2009) 105502 (with F. Briolle and R. Lima)

- "Innovation and self-organization in a multi-agent model"

Advances in Complex Systems 12 (2009) 233-253 (with T. Araujo)

- "The fractional volatility model: An agent-based interpretation"

Physica A 387 (2008) 3987-3994

- "A data-reconstructed fractional volatility model"

Economics, Discussion paper 2008-22 (with M. J. Oliveira)

- "The quantum ultimatum game"

Quantum Information Processing 4 (2005) 1-12

- "Network dependence of strong reciprocity"

Advances in Complex Systems 7 (2004) 357-368

- "Reconstructing an economic space from a market metric"

Physica A 323 (2003) 635 (with T. Araújo and F. Louçã)

- "Reconstructing an economic space from a market metric"

Physica A 323 (2003) 635 (with T. Araújo and F. Louçã)

- "A process-reconstruction analysis of market fluctuations"

Int. J. of Theoretical and Applied Finance 5 (2002) 797 (with R. Lima

and T. Araújo)