35 citations · 147 across the 29 of their papers we have counts for
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math.DS2016
Isospectral Reduction in Infinite Graphs
Pedro Duarte, Maria Joana Torres
L. A. Bunimovich and B. Z. Webb developed a theory for transforming a finite weighted graph while preserving its spectrum, referred as isospectral reduction theory. In this work we…
math.DS2016
Continuity, positivity and simplicity of the Lyapunov exponents for quasi-periodic cocycles
Pedro Duarte, Silvius Klein
An analytic quasi-periodic cocycle is a linear cocycle over a fixed ergodic torus translation of one or several variables, where the fiber action depends analytically on the base p…
math.DS2016
Hyperbolic billiards on polytopes with contracting reflection laws
Pedro Duarte, José Pedro Gaivão, Mohammad Soufi
We study billiards on polytopes in $\Rr^d$ with contracting reflection laws, i.e. non-standard reflection laws that contract the reflection angle towards the normal. We prove that…