Samya Kumar Ray

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math.OA2026

Maximal Ergodic Theorems for Operators with Finite Peripheral Spectrum

Subhajit Palai, Samya Kumar Ray

Let $M$ be a semifinite von Neumann algebra and $T : M \to M$ be a positive $L_{\infty} - L_{1}$ contraction in the sense of Junge-Xu, of which the numerical…

math.OA2026

Lamperti Operators, Dilation Theory, and Applications in Noncommutative Ergodic Theory

Guixiang Hong, Wei Liu, Samya Kumar Ray +1

In this paper, we develop a novel framework for quantitative mean ergodic theorems in the noncommutative setting, with a focus on actions of amenable groups and semigroups. We prov…

math.OA2025

Noncommutative ergodic theorems for action of semisimple Lie groups

Guixiang hong, Samya Kumar Ray

Let $G$ be a connected simple Lie group of real rank one and finite center, and let $K$ be a maximal compact subgroup. We study the families of spherical, ball, and uniform average…