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math.PR2026
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…
math.PR2021
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…
math.PR2020★ 1 cited
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…