Jose Gaivao

activity

20132022

most citedSRB measures for hyperbolic polygonal billiards

2 citations · 4 across the 3 of their papers we have counts for

collaborators

7 papers

math.DS2022

Hausdorff dimension of the exceptional set of interval piecewise affine contractions

José Pedro Gaivão

Let $I = [0, 1)$ , $- 1 < λ < 1$ and $f : I \to I$ be a piecewise $λ$ -affine map of the interval $I$ , i.e., there exist a partition $0 = a_{0} < a_{1} < \dots < a_{k - 1} < a_{k} = 1$ of the interval $I$ …

math.DS2020

Dynamics of piecewise increasing contractions

José Pedro Gaivão, Arnaldo Nogueira

Let $I_{1} = [a_{0}, a_{1}), \dots, I_{k} = [a_{k - 1}, a_{k})$ be a partition of the interval $I = [0, 1)$ into $k$ subintervals. Let $f : I \to I$ be a map such that each restriction $f ∣_{I_{i}}$ is an…

math.DS2019

Periodic attractor in the discrete time best-response dynamics of the Rock-Paper-Scissors game

José Pedro Gaivão, Telmo Peixe

The Rock-Paper-Scissors (RPS) game is a classic non-cooperative game widely studied in terms of its theoretical analysis as well as in its applications, ranging from sociology and…

math.DS2017

On the attractor of piecewise expanding maps of the interval

Gianluigi Del Magno, João Lopes Dias, Pedro Duarte +1

We consider piecewise expanding maps of the interval with finitely many branches of monotonicity and show that they are generically combinatorially stable, i.e., the number of ergo…

math.DS2017

Asymptotic periodicity in outer billiards with contraction

José Pedro Gaivão

We show that for almost every $(P, λ)$ where $P$ is a convex polygon and $λ \in (0, 1)$ , the corresponding outer billiard about $P$ with contraction $λ$ is asymptotically periodic, i.e…

math.DS2017★ 2 cited

Renormalization of Gevrey vector fields with a Brjuno type arithmetical condition

João Lopes Dias, José Pedro Gaivão

We show that in the Gevrey topology, a $d$ -torus flow close enough to linear with a unique rotation vector $ω$ is linearizable as long as $ω$ satisfies a Brjuno type diophantine co…