activity
20092026
most citedSymbolic dynamics for non-uniformly hyperbolic surface maps with discontinuities

23 citations · 41 across the 11 of their papers we have counts for

collaborators

11 papers

math.DS2026

Symbolic dynamics for non-uniformly hyperbolic flows

Jérôme Buzzi, Sylvain Crovisier, Yuri Lima +2

We construct symbolic dynamics for non-uniformly hyperbolic flows, in any dimension, possibly with fixed points. More precisely, for each , we code a set which has full measur…

math.DS2025

Symbolic dynamics for non-uniformly hyperbolic flows in high dimension

Yuri Lima, Juan Carlos Mongez, João Paulo Nascimento

We construct symbolic dynamics for flows with positive speed in any dimension: for each , we code a set that has full measure for every invariant probability measure which is…

math.DS2025

Equilibrium states by synchronization, symbolic extensions, and factors

Katrin Gelfert, Dominik Kwietniak, Yuri Lima

We combine the two classical topological concepts, time-preserving topological factors and synchronizing time-changes of a continuous flow, and explore some of their thermodynamic…

math.DS2023

Pólya urns on hypergraphs

Pedro Alves, Matheus Barros, Yuri Lima

We study Pólya urns on hypergraphs and prove that, when the incidence matrix of the hypergraph is injective, there exists a point such that the random process converges to…

math.DS2023

Lyapunov exponents and nonadapted measures for dispersing billiards

Vaughn Climenhaga, Mark Demers, Yuri Lima +1

For hyperbolic systems with singularities, such as dispersing billiards, Pesin theory as developed by Katok and Strelcyn applies to measures that are "adapted" in the sense that th…

math.DS2023

Symbolic dynamics for large non-uniformly hyperbolic sets of three dimensional flows

Jérôme Buzzi, Sylvain Crovisier, Yuri Lima

We construct symbolic dynamics for three dimensional flows with positive speed. More precisely, for each , we code a set of full measure for every invariant probability measur…

math.DS2019★ 2 cited

Symbolic dynamics for nonuniformly hyperbolic systems

Yuri Lima

This survey describes the recent advances in the construction of Markov partitions for nonuniformly hyperbolic systems. One important feature of this development comes from a finer…

math.DS2016★ 23 cited

Symbolic dynamics for non-uniformly hyperbolic surface maps with discontinuities

Yuri Lima, Carlos Matheus

This work constructs symbolic dynamics for non-uniformly hyperbolic surface maps with a set of discontinuities . We allow the derivative of points nearby to be unbounded, of…

math.DS2013★ 2 cited

Annihilation and coalescence on binary trees

Itai Benjamini, Yuri Lima

An infection spreads in a binary tree of height n as follows: initially, each leaf is either infected by one of k states or it is not infected at all. The infection state of each l…

math.DS2012★ 10 cited

An Abramov formula for stationary spaces of discrete groups

Yair Hartman, Yuri Lima, Omer Tamuz

Let (G,mu) be a discrete group equipped with a generating probability measure, and let Gamma be a finite index subgroup of G. A mu-random walk on G, starting from the identity, ret…

math.DS2009★ 4 cited

Z^d-actions with prescribed topological and ergodic properties

Yuri Lima

We extend constructions of Hahn-Katznelson and Pavlov to Z^d-actions on symbolic dynamical spaces with prescribed topological and ergodic properties. More specifically, we describe…