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math.DG2025
Heat kernel, large-time behavior, and representation theory
Shu Shen, Yanli Song, Xiang Tang
Given a real reductive group , the purpose of this paper is to show an asymptotic formula of the large-time behavior of the -trace of the heat operator on the associated symm…
math.DG2025
Geometric Zabrodin-Wiegmann conjecture for integer Quantum Hall states
Shu Shen, Jianqing Yu
The purpose of this article is to show a geometric version of Zabrodin-Wiegmann conjecture for an integer Quantum Hall state. Given an effective reduced divisor on a compact connec…
math.DG2018
Fried conjecture in small dimensions
Nguyen Viet Dang, Colin Guillarmou, Gabriel Rivière +1
We study the twisted Ruelle zeta function for smooth Anosov vector fields acting on flat vector bundles over smooth compact manifolds. In dimension , we prove Fried…