35 citations · 147 across the 29 of their papers we have counts for
5 papers · 1 filter
Asymptotic Poincaré Maps along the edges of Polytopes
Hassan Najafi Alishah, Pedro Duarte, Telmo Peixe
For a class of flows on polytopes, including many examples from Evolutionary Game Theory, we describe a piecewise linear model which encapsulates the asymptotic dynamics along the…
Large deviations for quasi-periodic cocycles with singularities
Pedro Duarte, Silvius Klein
We derive large deviations type (LDT) estimates for linear cocycles over an ergodic multifrequency torus translation. These models are called quasi-periodic cocycles. We make the f…
An abstract continuity theorem of the Lyapunov exponents
Pedro Duarte, Silvius Klein
We devise an abstract, modular scheme to prove continuity of the Lyapunov exponents for a general class of linear cocycles. The main assumption is the availability of appropriate l…
Hamiltonian Evolutionary Games
Hassan Najafi Alishah, Pedro Duarte
We introduce a class of o.d.e.'s that generalizes to polymatrix games the replicator equations on symmetric and asymmetric games. We also introduce a new class of Poisson structure…
r-Regularity
Pedro Duarte, Maria Joana Torres
We provide a characterization of r-regular sets in terms of the Lipschitz regularity of normal vector fields to the boundary.