Topics

N.B.: Click on the hypertext-linked titles below for abstract or file transfer information, where available.

Mathematical Socio-Economics

• "A process-reconstruction analysis of market fluctuations" Int. J. of Theoretical and Applied Finance 5 (2002) 797 (with R. Lima and T. Araújo)
• "Reconstructing an economic space from a market metric" Physica A: Stat. Mech. and Appl. 323 (2003) 635 (with T. Araújo and F. Louçã)
• "Network dependence of strong reciprocity" Advances in Complex Systems 7 (2004) 357-368
• "The quantum ultimatum game" Quantum Information Processing 4 (2005) 1-12
• "A data-reconstructed fractional volatility model" Economics, Discussion paper 2008-22 (with M. J. Oliveira)
• "The fractional volatility model: An agent-based interpretation" Physica A: Stat. Mech. and Appl. 387 (2008) 3987-3994
• "A fractional calculus interpretation of the fractional volatility model" Nonlinear Dynamics 55 (2009) 395-399
• "Innovation and self-organization in a multi-agent model" Advances in Complex Systems 12 (2009) 233-253 (with T. Araújo)
• "Cooperation, punishment, emergence of government and the tragedy of authorities" Complex Systems 20 (2012) 363-374 (with C. Aguirre)
• "Portfolios and the market geometry" Physica A: Stat. Mech. and Appl. 410 (2014) 226-235 (with S. Eleutério and T. Araújo)
• "The fractional volatility model: No-arbitrage, leverage and completeness in a fractional volatility model" Physica A: Stat. Mech. and Appl. 419 (2015) 470-478(with M. J. Oliveira and A. M. Meireles)
• "From market data to agent-based models and stochastic differential equations" in "From Particle Systems to Partial Differential Equations III", pp. 225-242, P. Goncalves and A. J. Soares (eds.) Springer 2016
• "The fractional volatility model and rough volatility" International Journal of Theoretical and Applied Finance 26 (2023) 2350010

Signal processing and Control

• "Large deviation analysis of multiplicity fluctuations" Nuclear Physics B 383 (1992) 622 (with J. Seixas)
• "A new method for fast track recognition at present and future colliders" Nuclear Instruments and Methods A 332 (1993) 284 (with T. Altherr and J. Seixas)
• "The bi-orthogonal decomposition in image processing: Signal analysis and texture segmentation" Signal Processing: Image Communication 8 (1996) 131 (with J. A. Dente, A. Lambert and R. Lima)
• "Noncommutative time-frequency tomography" Physics Letters A 263 (1999) 53 (with V. I. Man'ko)
• "Tomograms and other transforms: A unified view" J. Physics A: Math. and Gen. 34 (2001) 8321 (with M. A. Man'ko and V. I. Man'ko)
• "Boundary-layer control by electric fields" J. of Fluids Engineering 120 (1998) 626 (with J. A. Dente)
• "Active control of ionized boundary layers" Int. J. of Bifurcation and Chaos 8 (1998) 2449
• "Language identification of controlled systems: Modelling, control and anomaly detection" IEEE Trans. on Systems, Man and Cybernetics 31 (2001) 234 (with J. Martins, J A. Dente and A. Pires)
• "Using immunology principles for anomaly detection in electrical systems" IEEE Trans. on Industrial Electronics 50 (2003) 362-373 (with P. Branco and J. A. Dente)
• "Entropy-based choice of a neural network drive model" IEEE Trans. on Industrial Electronics 54 (2007) 110-116 (with J. Martins, P. J. Santos, A. J. Pires and L. B. Silva)
• "From controlled dynamical systems to context-dependent grammars: A connectionistic approach" Engineering Applications of Artificial Intelligence, Engineering Appl. of Artificial Intelligence 22 (2009) 192-200 (with J. Martins, J. A. Dente and A. J. Pires)
• "Signal reconstruction by random sampling in chirp space" Nonlinear Dynamics 56 (2009) 223-229 (with E. Carlen)
• "Non-commutative tomography: A tool for data analysis and signal processing" J. Russian Laser Research 33 (2012) 103-121 (with F. Briolle, V. I. Man'ko and B. Ricaud)
• "Signal recognition and adapted filtering by non-commutative tomography" IET Signal Processing 8 (2014) 67-75 (with C. Aguirre)
• "Non-commutative tomography and signal processing" Physica Scripta 90 (2015) 074022
• "Signals on graphs: Transforms and tomograms" Physica A 450 (2016) 1-17 (with H. C. Mendes and T. Araújo)
• "Signal-adapted tomography as a tool for dust devil detection" Aeolian Research 29 (2017) 12-22 (with C. Aguirre et al.)

Networks and learning

• "Vector fields and neural networks" Complex Systems 6 (1992) 21 (with J. T. Duarte)
• "Learning from examples and generalization" Complex Systems 6 (1992) 301 (with J. A. Dente)
• "Unsupervised learning in general connectionist systems" Network: Computation in Neural Systems 7 (1996) 123 (with J. A. Dente)
• "A fully connected network of Bernoulli units with correlation learning" Physics Letters A 211 (1996) 87 (with J. A. Dente)
• "Characteristic functions and process identification from neural networks" Neural Networks 10 (1997) 1465 (with J. A. Dente)
• "Medidas de complexidade e auto-organização" Colóquio/Ciências 22 (1998) 3-14
• "Function and form in networks of interacting agents" Complex Systems 12 (2000) 357 (with T. Araújo)
• "Neural networks and logical reasoning systems. A translation table" Int. J. of Neural Systems 11 (2001) 179 (with J. Martins)
• "Dynamical characterization of the small-world phase" Physics Letters A 319 (2003) 285-289 (with T. Araújo and J. Seixas)
• "Tools for network dynamics" Int. J. Bifurcation and Chaos 15 (2005) 1185-1213
• "Dynamics and coding of a biologically motivated network" Int. J. Bifurcation and Chaos 16 (2006) 383-394 (with C. Aguirre and J. Martins)
• "From controlled dynamical systems to context-dependent grammars: A connectionist approach" Engineering Applications of Artificial Intelligence 22 (2009) 192-200 (with J.F. Martins, J.A. Dente and A.J. Pires)
• "Fractional networks, the new structure" arXiv:1804.10605, Chaos and Complexity Letters 12 (2018) 123-128
• "Long-range connections, real-world networks and rates of diffusion" Advances in Complex Systems 25 (2022) 2250009 (with T. Araújo)
• "Long-range connections and mixed diffusion in fractional networks" Physica A 608 (2022) 128269 (with T. Araújo)

Dynamical Systems and Self-Organization

• "Decomposition of vector fields and mixed dynamics", Journal of Mathematical Physics 22 (1981) 1420 (with J. T. Duarte)
• "Deformation of Hamiltonian dynamics and constants of motion in dissipative systems", Journal of Mathematical Physics 24 (1983) 1772 (with J. T. Duarte)
• "Symmetries and stable periodic orbits for onedimensional maps", Journal of Mathematical Physics 25 (1984) 855
• "Variational formulation and ergodic invariants", Physics Letters 155A (1991) 388 (with A. Carreira and M. O. Hongler)
• "Logarithmic measure, subdimension and Lyapunov exponents of cantori", Annales de l'Institut Henri Poincaré 56(1992) 415 (with R. Coutinho, R. Lima and S. Vaienti)
• "Conditional exponents, entropies and a measure of dynamical self-organization", Physics Letters A 248 (1998) 167
• "Clustering and synchronization with positive Lyapunov exponents", Physics Letters A 257 (1999) 132
• "Characterizing self-organization and coevolution by ergodic invariants", Physica A 276 (2000) 550
• "From synchronization to multistability in two coupled quadratic maps", Physics Letters A 285 (2001) 327 (with B. Fernandez and R. Carvalho)
• "Structure generating mechanisms in agent-based models", Physica A 295 (2001) 537-561
• "Deterministic Bak-Sneppen model. Lyapunov spectrum and avalanches as return times", Physica D 214 (2006) 182-186
• "The dynamical nature of a backlash system with and without fluid friction", Nonlinear Dynamics 47 (2007) 363-366 (with L. Vazquez)
• "Ergodic parameters and dynamical complexity", Chaos 21 (2011) 037115
• "Long range dependence and the dynamics of exploited fish populations", Advances in Complex Systems 18 (2015) 1550017 (with H. C. Mendes and A. Murta)
• "Tools to characterize the correlated nature of collective dynamics", Complex Systems 30 (2021) (with C. Aguirre)

Stochastic processes

• "Stochastic mechanics, nonlocal potentials and jump processes" Physics Letters 113A (1985) 187
• "Reconstruction of dynamics from an eigenstate" Journal of Mathematical Physics 27 (1986) 178
• "Stochastic mechanics at positive temperature" Physics Letters 116A (1986) 216
• "Non-equivalent stochastic models in lattice gauge theory" Phys. Rev. D 37 (1988) 1608
• "Euclidean gauge fields in four dimensions from stochastic differential equations" Physics Letters 202 B (1988) 369
• "On a stochastic process associated to nonabelian gauge fields" Physics Letters 223 B (1989) 83
• "q-deformed Brownian motion" Physics Letters A 180 (1993) 39 (with V. I. Man'ko)
• "Stochastic ground state processes" Phys. Rev. B 50 (1994) 5035 (with S. Eleutério)
• "Hierachical structures and asymmetric stochastic processes on p-adics and adeles" Journal of Mathematical Physics 35 (1994) 4637 (with W. Karwowski)
• "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)
• "Stochastic solutions of nonlinear pde's: McKean versus superprocesses" in "Chaos Complexity and Transport", X. Leoncini and M. Leonetti (eds.), World Scientific Pub. 2012
• "Fractional Boson Gas and Fractional Poisson Measure in Infinite Dimensions" in "From Particle Systems to Partial Differential Equations II", pp. 293-312, P. Goncalves and A. J. Soares (eds.) Springer 2015,(with M. J. Oliveira)
• "Stochastic solutions of nonlinear pde's and an extension of superprocesses" in "Stochastic and Infinite Dimensional Analysis", pp. 243-262, C.C. Bernido et al. (eds.), Springer 2016
• "Superprocesses on ultradistributions" Stochastics 89 (2017) 896-909
• "Ultradistribution spaces: Superprocesses and nonlinear differential problems" in "From Particle Systems to Partial Differential Equations", P. Gonçalves and A. J. Soares (Eds.) Springer 2017.
• "Non-commutative probability and non-commutative processes: Beyond the Heisenberg algebra" J. Math. Phys. 60 (2019) 093501
• "Stochastic solutions and singular partial differential equations" Communications in Nonlinear Science and Numerical Simulation 125(2023)107406
• "On a family of Lévy processes without support in S'" Statistics and Probability Letters 208 (2024) 110077
• "Intemperate Lévy processes and white noises"

Quantum: Chaos, Control, Computing, Games

• "Hole pairing in an exact model" Marseille preprint CPT-89/P.2270 (1989)
• "Resonant hole configurations and hole pairing" J. Phys.: Condensed Matter 3 (1991) 6757-6761
• "Entropy and quantum characteristic exponents. Steps towards a quantum Pesin theory", Chaos — The Interplay Between Stochastic and Deterministic Behaviour, Lecture Notes in Physics Volume 457, 1995, pp 273-282
• "Lyapunov exponent in quantum mechanics. A phase-space approach", Physica D 145 (2000) 330-348 (with V. I. Man'ko)
• "On the non-linearity interpretation of q- and f-deformation and some applications" J. of Physics A: Math. and Gen. 31 (1998) 6037 (ith V. I. Man'ko)
• "Quantum computation by quantum-like systems" Physics Letters A 288 (2001) 132-138 (with M. A. Man'ko and V. I. Manko)
• "Quantum sensitive dependence", Physics Letters A300 (2002) 353-360 (with V. I. Man'ko)
• "Quantum control and the Strocchi map" Phys. Rev. A 67 (2003) 053404 (with V. I. Man'ko)
• "Quantum control in infinite dimensions" Physics Letters A 322 (2004) 282-285 (with W. Karwowski)
• "A probabilistic operator symbol framework for quantum information" J. Russian Laser Research 27 (2006) 507-532 (with M. A. Man'ko and V. I. Manko)
• "Universal families and quantum control in infinite dimensions" Physics Letters A373 (2009) 2529-2532
• "On the problem of quantum control in infinite dimensions" J. Phys. A: Math. Theor. 44 (2011) 135302 (with V. I. Man'ko)
• "Current algebra, statistical mechanics and quantum models" J. Stat. Mech (2017) 113104
• "Alternative quantum formulations and systems at the classical-quantum border" in From Particle Systems to Partial Differential Equations, C. Bernardin et al. (eds.), Springer 2021
• "Modular quantum computing and quantum-like devices" Int. Journal of Quantum Information 19(2021) 2150020

Quantum field theory

• "Asymptotic dynamics for gauge theories" Phys. Rev. D 18 (1978) 4726
• "Large time behaviour of canonical quantized gauge theories" Nuclear Physics B 161 (1979)283
• "Nonrelativistic bound states of the nonabelian gauge potential" Phys. Rev. D 24 (1981) 3305
• "Stochastic processes and the non-perturbative structure of the QCD vacuum" Zeitschrift fur Physik C 54 (1992) 273
• "Stratification of the orbit space in gauge theories. The role of nongeneric strata" Journal of Physics A: Math. and Gen. 37 (2004) 11485-11498
• "An infinite-dimensional calculus for generalized connections in hypercubic lattices" J. Math. Phys. 52 (2011) 052304
• "A consistent measure for lattice Yang-Mills" Int. J. Modern Physics A 32 (2017) 1750016

Algebras, deformations and space-times

• "Faster-than-light particles and T violation" Physical Review D 14 (1976) 600-606
• "Extended relativity, T-violation and a new kind of particles" Journal of Physics A 13 (1980) 479
• "Space times over normed division algebras, revisited" Intern. J. Modern Physics A35 (2020) 2050055
• "T violation and the dark sector" Modern Physics Letters A 38 (2023) 2350165
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• "The stability of physical theories principle" in "The Algebraic Way Space, Time and Quantum Beyond Peaceful Coexistence" pp. 153-200, I. Licata (Ed.), Imperial College Press 2016
• "Deformations, stable theories and fundamental constants" Journal of Physics A 27 (1994) 1
• "Quantum mechanics and non-commutative space-time" Physics Letters A 210 (1996) 232
• "Geometry, stochastic calculus and quantum fields in a non-commutative space-time" J. of Mathematical Physics 41 (2000) 156
• "Non-commutative space-time and the uncertainty principle" Physics Letters A 290 (2001) 109 (with E. Carlen)
• "Stochastic calculus and processes in non-commutative space-time" Progress in Probability, vol. 52 (2002) 205-207, Birkhauser Verlag
• "Some consequences of a noncommutative space-time structure" Eur. J. Phys. C 42 (2005) 445-452
• "The deformation-stability fundamental length and deviations from c" Physics Letters A 376 (2012) 1823-1826
• "A laboratory scale fundamental time?" European Physical Journal C 72 (2012) 2239
• "An extended Dirac equation in noncommutative space-time" Modern Physics Letters A 31 (2016) 1650089
• "The geometry of noncommutative spacetime" Int. J. Theoretical Physics 56 (2017) 259-269
• "Commutative or noncommutative spacetime. Two length scales of noncommutativity" Physical Review D 99 (2019) 123006
• "Non-commutative spacetime and the anomalous magnetic moment" DOI: 10.13140/RG.2.2.22020.19848
• "Noncommutative spacetime and the PeV photons from Crab" Modern Physics Letters A38 (2023) 2350007

Fluids and Plasmas

• "A stochastic process for the dynamics of the turbulent cascade" Physical Review E53 (1996) 3536 (with R. Lima)
• "Boundary layer control by electric fields" Transactions of ASME 120 (1998) 626 (with J. A. Dente)
• "Active control of ionized boundary layers" Int. J. Bifurcation and Chaos 8 (1998) 2449-2455
• "A stochastic representation for the Poisson-Vlasov equation" Commun. on Nonlinear Science and Num. Simul. 13 (2008) 221-226 (with F. Cipriano)
• "Fuctuations and control in the Vlasov_Poisson equation" Physics Letters A 368 (2007) 87-91 (with R. Lima)
• "Reduction and approximation in guiding-center dynamics" J. Phys. A: Math. Theor. 41 (2008) 465501 (with Ph. Ghendrih and R. Lima)
• "Poisson-Vlasov : Stochastic representation and numerical codes" European Physical Journal D 46 (2008) 295-302 and 407 (with E. Floriani and R. Lima)
• "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)
• "Poisson-Vlasov in a strong magnetic field: A stochastic solution approach" J. Math. Phys. 51, 043101 (2010)
• "A stochastic approach to the solution of magnetohydrodynamics equations" Journal of Computational Physics 242 (2013) 777-789 (with E. Floriani)
• "Analytical study of growth estimates, control of fluctuations and conservative structures in a two-field model of the scrape-off layer" Physics of Plasmas 24 (2017) 012303 (with J. P. Bizarro)
• "Stochastic stability of invariant measures: The 2D Euler equation" Int. J. Modern Physics B 33 (2019) 1950185 (with F. Cipriano and H. Ouerdiane)
• "Exact conservative solutions of fluid models for the scrape-off layer as the ancestors of plasma blobs?" Nuclear Fusion 60 (2020) 016012 (with J. P. Bizarro and L. Venâncio)
• "Quantum corrections to plasma kinetic equations: A deformation approach" Phys. Rev. E 102 (2020) 013210 (with J. P. Bizarro and J. Cortes)

Saddle scars and hybrid fusion

• "Three-body effects in cold fusion" IFM preprint 9/89 (1989) (with S. M. Eleutério)
• "Three-body effects and neutron suppression in cold fusion" IFM preprint 10/89 (1989)
• "Ergodic motion and near collisions in a Coulomb system" Modern Physics Letters B 5 (1991) 1179-1190
• "Near collisions in a Coulomb system: Numerical simulations - a prelude to hybrid fusion" Modern Physics Letters B 7 (1993) 1929-1939
• "Near collisions in a Coulomb system: quantum treatment" Modern Physics Letters B 8 (1994) 707-719
• "Collision states and scar effects in charged three-body problems" Physics Letters A 233 (1997) 265
• "Saddle scars: Existence and applications" Physics Letters A 239 (1998) 223
• "Quantum collision states for positive charges in an octahedral cage" Int. Journal of Hydrogen Energy 28 (2003) 125
• "Quantum control of quasi-collision states: A protocol for hybrid fusion" Int. Journal of Modern Phys. B 32 (2018) 1850134
• "On lattice confinement and hybrid fusion" Modern Physics letters B 36 (2022) 2250042
• "Quantum control of quantum triple collisions in a maximally symmetric three-body Coulomb problem" Int. Journal of Modern Physics B (2023) 2450143 https://doi.org/10.1142/S0217979224501431

Other topics

• "Arms race, conflict and the scientific method" in "Taktische Kernwaffen: Die fragmentierte Abschreckung", Suhrkamp, Frankfurt 1987
• "Medidas de complexidade e auto-organização" Colóquio/Ciências 22 (1998) 3-14
• "Os formalismos físicos e a realidade matemática" in Matemática e Cultura II, pp. 183-200, Centro Nacional de Cultura, SPB Ed. 1995
• "A matemática da complexidade" in Matemática e Cultura II, pp. , Centro Nacional de Cultura, SPB Ed. 1995
• "O planeta humano: Sustentabilidade e governabilidade" Arrábida meetings "Paths to Complexity 2021"

Comments or Problems

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