Publications

Diogo Pinheiro

10 Articles in international journals with referee

An asymptotic universal focal decomposition for non-isochronous potentials
C. A. A. de Carvalho, M. M. Peixoto and D. Pinheiro
Transactions of the American Mathematical Society 366, 2227-2263 (2014).

Optimal life insurance purchase, consumption and investment on a financial market with multi-dimensional diffusive terms
I. Duarte, D. Pinheiro, A. A. Pinto and S. R. Pliska
Optimization 63, 1737-1760 (2014).

SRB measures for polygonal billiards with contracting reflection laws
G. Del Magno, J. Lopes Dias, P. Duarte, J. P. Gaivão and D. Pinheiro
Communications in Mathematical Physics 329, 687-723 (2014).

A projected gradient dynamical system modeling the dynamics of bargaining
D. Pinheiro, A. A. Pinto, S. Z. Xanthopoulos and A. N. Yannacopoulos
Journal of Difference Equations and Applications 19, 59-95 (2013).

On a variational sequential bargaining pricing scheme
N. Azevedo, D. Pinheiro, S. Z. Xanthopoulos and A. N. Yannacopoulos
Optimization 62, 1501-1524 (2013).

Chaos in the square billiard with a modified reflection law
G. Del Magno, J. Lopes Dias, P. Duarte, J. P. Gaivão and D. Pinheiro
Chaos 22, 026106 (2012).

Behavioural and dynamical scenarios for contingent claims valuation in incomplete markets
L. Boukas, D. Pinheiro, A. A. Pinto, S. Z. Xanthopoulos and A. N. Yannacopoulos
Journal of Difference Equations and Applications 17, 1065-1084 (2011).

Focal decomposition, renormalization and semiclassical physics
C. A. A. de Carvalho, M. M. Peixoto, D. Pinheiro and A. A. Pinto
Journal of Difference Equations and Applications 17, 1019-1029 (2011).

Interaction of two charges in a uniform magnetic field: II. Spatial Problem
D. Pinheiro and R. S. MacKay
Journal of Nonlinear Science 18, 615-666 (2008).

Interaction of two charges in a uniform magnetic field: I. Planar problem
D. Pinheiro and R. S. MacKay
Nonlinearity 19, 1713-145 (2006).


5 Chapters in international books with referee

Polygonal billiards with a contractive reflection law: a review of some hyperbolic properties
G. Del Magno, J. Lopes Dias, P. Duarte, J. P. Gaivão and D. Pinheiro
in Difference Equations, Discrete Dynamical Systems and Applications, Eds. L. Alseda i Soler et al., Springer 180, (2016).

An overview of optimal life insurance purchase, consumption and investment problems
I. Duarte, D. Pinheiro, A. A. Pinto and S. R. Pliska
in Dynamics, Games and Science I, Springer Proceedings in Mathematics 1, Springer, 271-286 (2011).

An overview of the behaviour of a scattering map for the dynamics of two interacting particles in a uniform magnetic field
D. Pinheiro and R. S. MacKay
Nonlinear Science and Complexity, Eds. A. Tenreiro Machado, A. Luo, R. Barbosa, L. Figueiredo, Springer, 375-380 (2011).

Renormalization and focal decomposition
C. A. A. de Carvalho, M. M. Peixoto, D. Pinheiro and A. A. Pinto
in Dynamics, Games and Science II, Springer Proceedings in Mathematics 2, Eds. Peixoto, Pinto and Rand, Springer, 25-40 (2011).

Three behavioural scenarios for contingent claims valuation in incomplete markets
L. Boukas, D. Pinheiro, A. A. Pinto, S. Z. Xanthopoulos and A. N. Yannacopoulos
Nonlinear Science and Complexity, J.A. Tenreiro Machado, A. Luo, R. Barbosa, M. Silva, L. Figueiredo - Springer, 221-228 (2011).


2 Conference proceedings with referee

Interaction of two charges in a uniform magnetic field: symmetries, reduction and non-integrability of the planar problem
D. Pinheiro and R. S. MacKay
in Proceedings of the 3rd Nordic EWM Summer School for PhD students in mathematics, TUCS General Publication 53, (2009).

Risk and beliefs updating mechanisms for contingent claims valuation in incomplete markets
L. Boukas, D. Pinheiro, A. A. Pinto, S. Z. Xanthopoulos and A. N. Yannacopoulos
in Proceedings of The European Conference on Complex Systems 2009 (ECCS 09), 1-9 (2009).


1 Preprints

A family of stochastic optimal control problems with multiple random time horizons
A. S. Mousa and D. Pinheiro
preprint (2013).


2 Manuscripts not intended for publication

Modelling fiber flow in fiberboard manufacturing
P. Freitas, J. Matos, J. Penedones and D. Pinheiro
86th European Study Group with Industry, (2012).

Multiplier and inovation effect of the engineering & tooling sector in Portugal
N. Azevedo, J. Correia, J. M. E. Guerra, J. Kennedy, D. Pinheiro and R. Smits
81st European study group with industry, (2011).