137 citations · 1.2k across the 79 of their papers we have counts for
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Local number variances and hyperuniformity of the Heisenberg family of determinantal point processes
Takato Matsui, Makoto Katori, Tomoyuki Shirai
The bulk scaling limit of eigenvalue distribution on the complex plane of the complex Ginibre random matrices provides a determinantal point process (DPP). This poin…
Two-Dimensional Elliptic Determinantal Point Processes and Related Systems
Makoto Katori
We introduce new families of determinantal point processes (DPPs) on a complex plane , which are classified into seven types following the irreducible reduced affine…
Hydrodynamic Limit of Multiple SLE
Ikkei Hotta, Makoto Katori
Recently del Monaco and Schleißinger addressed an interesting problem whether one can take the limit of multiple Schramm--Loewner evolution (SLE) as the number of slits goes to…
Excursion Processes Associated with Elliptic Combinatorics
Hiroya Baba, Makoto Katori
Researching elliptic analogues for equalities and formulas is a new trend in enumerative combinatorics which has followed the previous trend of studying -analogues. Recently Sch…
Dissipative Abelian Sandpile Models
Makoto Katori
We introduce a family of abelian sandpile models with two parameters defined on finite lattices on -dimensional torus. Sites with or more grains of sa…
Oscillatory matrix model in Chern-Simons theory and Jacobi-theta determinantal point process
Yuta Takahashi, Makoto Katori
The partition function of the Chern-Simons theory on the three-sphere with the unitary group provides a one-matrix model. The corresponding -particle system can be mapped…