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math.PR2023
Riesz transforms for Dirichlet spaces tamed by distributional curvature lower bounds
Syota Esaki, Zi Jian Xu, Kazuhiro Kuwae
The notion of tamed Dirichlet space was proposed by Erbar, Rigoni, Sturm and Tamanini as a Dirichlet space having a weak form of Bakry-Émery curvature lower bounds in distribution…
math.PR2023
The Littlewood-Paley-Stein inequality for Dirichlet space tamed by signed measured curvature lower bounds
Syota Esaki, Kazuhiro Kuwae, Zi Jian Xu
The notion of tamed Dirichlet space by distributional lower Ricci curvature bounds was proposed by Erbar--Rigoni--Sturm--Tamanini as the Dirichlet space having a weak form of Bakry…
math.PR2023
Eigenvalues, eigenvector-overlaps, and regularized Fuglede-Kadison determinant of the non-Hermitian matrix-valued Brownian motion
Syota Esaki, Makoto Katori, Satoshi Yabuoku
The non-Hermitian matrix-valued Brownian motion is the stochastic process of a random matrix whose entries are given by independent complex Brownian motions. The bi-orthogonality r…