2 papers
math.DS2023
Stationary measures on the circle from hyperbolic surfaces with cusps cannot be straightened by quasi-symmetries
Aitor Azemar, Vaibhav Gadre
Stationary measures on the circle that arise from a large class of random walks on the fundamental group of a finite-area complete hyperbolic surface with cusps are singular with r…
math.GT2023
Bounds for the random walk speed in terms of the Teichmüller distance
Aitor Azemar
Consider a closed surface with negative Euler characteristic, and an admissible probability measure on the fundamental group of with finite first moment with respect to som…