2 papers
math.SP2026
Quantum Ergodicity on large hyperbolic surfaces for local and pseudolocal operators
Nalini Anantharaman, Soumyajit Saha
We prove a quantum ergodicity theorem for sequences of closed hyperbolic surfaces converging to the Poincaré disc in the Benjamini-Schramm sense. Assuming a uniform lower bound on…
math.AP2025
A Priori Log-Concavity Estimates for Dirichlet Eigenfunctions
Gabriel Khan, Soumyajit Saha, Malik Tuerkoen
In this paper, we establish a priori log-concavity estimates for the first Dirichlet eigenfunction of convex domains of a Riemannian manifold. Specifically, we focus on cases where…