Eduardo Silva

activity

20232026

collaborators

6 papers

math.GR2026

Stationary boundaries on the space of amenable subgroups and C*-simplicity

Anna Cascioli, Martín Gilabert Vio, Eduardo Silva

We give a sufficient condition for a countable group $G$ to possess a probability measure $μ$ that admits a non-trivial $μ$ -boundary modeled in the space $\mathrm{Sub}_{\mathrm{am}…

math.PR2025

The CLT for lamplighter groups with an acylindrically hyperbolic base

Maksym Chaudkhari, Christian Gorski, Eduardo Silva

We prove a Central Limit Theorem for the drift of a non-elementary random walk with a finite exponential moment on a wreath product $A ≀ H = ⨁_{H} A ⋊ H$ with $A$ a non…

math.DS2025

The Poisson boundary of Thompson's group $T$ is not the circle

Martín Gilabert Vio, Cosmas Kravaris, Eduardo Silva

Let $μ$ be a nondegenerate probability measure with finite entropy on a countable group $G \leq Homeo_{+} (S^{1})$ of orientation-preserving homeomorphisms of the circle acting…

math.GR2025

Continuity of asymptotic entropy on wreath products

Eduardo Silva

We prove the continuity of asymptotic entropy as a function of the step distribution for non-degenerate probability measures with finite entropy on wreath products $ A \wr B = \big…

math.DS2023

Some Probabilistic Properties of General Topological Markov Chains

Eduardo A. Silva, Elis G. Mesquita, Edgar Matias

In this paper, we utilize the framework of Markov processes to attain a more probabilistic perspective on the theory of transfer operators. In doing so, we establish a functional c…

math.GR2023

The Poisson boundary of wreath products

Joshua Frisch, Eduardo Silva

We give a complete description of the Poisson boundary of wreath products $A ≀ B = ⨁_{B} A ⋊ B$ of countable groups $A$ and $B$ , for probability measures $μ$ with fini…