35 citations · 147 across the 29 of their papers we have counts for
7 papers · 1 filter
Conservative and Dissipative Polymatrix Replicators
Hassan Najafi Alishah, Pedro Duarte, Telmo Peixe
In this paper we address a class of replicator dynamics, referred as polymatrix replicators, that contains well known classes of evolutionary game dynamics, such as the symmetric a…
Hyperbolic polygonal billiards with finitely many ergodic SRB measures
Gianluigi Del Magno, João Lopes Dias, Pedro Duarte +1
We study polygonal billiards with reflection laws contracting the reflected angle towards the normal. It is shown that if a polygon does not have parallel sides facing each other,…
Continuity of the Oseledets Decomposition
Pedro Duarte, Silvius Klein
We consider an abstract space of measurable linear cocycles and we assume the availability in this space of some appropriate uniform large deviation type estimates. Under these hyp…
Large deviation type estimates for random cocycles
Silvius Klein, Pedro Duarte
In this paper we prove the continuity of all Lyapunov exponents, as well as the continuity of the Oseledets decomposition, for a class of irreducible cocycles over strongly mixing…
The Avalanche Principle and other estimates on Grassmann manifolds
Silvius Klein, Pedro Duarte
The main result of this paper, called the Avalanche Principle (AP), relates the expansion of a long product of matrices with the product of expansions of the individual matrices. T…
Eigenvectors of isospectral graph transformations
Pedro Duarte, Maria Joana Torres
L.A. Bunimovich and B.Z. Webb developed a theory for isospectral graph reduction. We make a simple observation regarding the relation between eigenvectors of the original graph and…