Eduardo Silva

I am a postdoctoral researcher at the Institut für Mathematische Stochastik at the University of Münster (Germany), under the mentorship of David Kerr and Chiranjib Mukherjee. I did my PhD at the Département de Mathématiques et Applications (DMA) of École Normale Supérieure (Paris, France), under the direction of Anna Erschler.



I am currently working on geometric group theory and random walks on (countable) groups. One of my main focuses is studying the long scale behavior of random walks on amenable groups (e.g. wreath products or locally-finite-by-cyclic groups). In this direction, I am particularly interested in the identification of the Poisson boundary of a random walk, or equivalently, the description of bounded μ-harmonic functions on the group. In relation to this, I am also interested in entropy (of random walks, dynamical systems, sofic entropy, etc...). I am also working in subgroup dynamics and stationary dynamics, in relation with C*-simplicity of groups. Other topics I am interested on are percolation on (non-abelian) groups, ergodic theory, and symbolic dynamics.