35 citations · 147 across the 29 of their papers we have counts for
4 papers · 1 filter
Ergodicity of polygonal slap maps
Gianluigi Del Magno, João Lopes Dias, Pedro Duarte +1
Polygonal slap maps are piecewise affine expanding maps of the interval obtained by projecting the sides of a polygon along their normals onto the perimeter of the polygon. These m…
A Class of Morse Functions on Flag Manifolds
Pedro Duarte
Given a positive definite symmetric matrix in one of the groups SL(n, R) or Sp(n, R), we analyse its actions on Flag Manifolds, proving these are diffeomorphisms which admit as str…
Continuity of the Lyapunov exponents for quasiperiodic cocycles
Pedro Duarte, Silvius Klein
Consider the Banach manifold of real analytic linear cocycles with values in the general linear group of any dimension and base dynamics given by a Diophantine translation on the c…
SRB measures for hyperbolic polygonal billiards
Gianluigi Del Magno, João Lopes Dias, Pedro Duarte +2
We prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attractors with countably many ergodic SRB measures. These measures are robust under small per…