2 citations · 3 across the 5 of their papers we have counts for
7 papers
The strongly local part of nonlinear Dirichlet structures and its energy measures
Kôhei Sasaya
This paper substantially extends the results of Sasaya (2026, JFA): we propose a framework for nonlinear generalizations of regular Dirichlet forms and prove that each energy in th…
A Central Limit Theorem for High-Temperature SYK Model: A case study on mathematical research using AI and Lean
Yoshinori Kamijima, Shuta Nakajima, Ryoichiro Noda +1
The Sachdev--Ye--Kitaev (SYK) model is a quantum many-body model of Majorana fermions with all-to-all random interactions. It has attracted wide interest in condensed matter and hi…
Construction of -energy measures associated with strongly local -energy forms
Kôhei Sasaya
We construct canonical -energy measures associated with strongly local -energy forms without assuming self-similarity. Here, -energy forms are -analogues of Dirichlet…
Some inequalities between Ahlfors regular conformal dimension and spectral dimensions for resistance forms
Kôhei Sasaya
Quasisymmetric maps are well-studied homeomorphisms between metric spaces preserving annuli, and the Ahlfors regular conformal dimension of a metric space…
Systems of Dyadic Cubes of Complete, Doubling, Uniformly Perfect Metric Spaces without Detours
Kôhei Sasaya
Systems of dyadic cubes are the basic tools of harmonic analysis and geometry, and this notion had been extended to general metric spaces. In this paper, we construct systems of dy…
Some relation between spectral dimension and Ahlfors regular conformal dimension on infinite graphs
Kôhei Sasaya
The spectral dimension of a weighted graph is an exponent associated with the asymptotic behavior of the random walk on the graph. The Ahlfors regular conformal dimension $\d…
Ahlfors Regular Conformal Dimension of Metrics on Infinite Graphs and Spectral Dimension of the Associated Random Walks
Kôhei Sasaya
Quasisymmetry is a well-studied property of homeomorphisms between metric spaces, and Ahlfors regular conformal dimension is a quasisymmetric invariant. In the present paper, we co…