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20152026
most citedStrong law of large numbers for Betti numbers in the thermodynamic regime

26 citations · 59 across the 15 of their papers we have counts for

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Showing 2026 · math.PRShow all

5 papers · 2 filters

math.PR2026

Large deviations for additive functionals of one-dimensional zero-range processes

Insuk Seo, Kenkichi Tsunoda

We prove a large deviation principle for additive functionals of local Lipschitz functions of a one-dimensional symmetric zero-range process on the diffusive scale. The rate functi…

math.PR2026

Moderate deviations and laws of the iterated logarithm for geometric functionals in the sparse regime

Yudai Sakihara, Kenkichi Tsunoda

We prove moderate deviation principles and laws of the iterated logarithm in the sparse regime for geometric and topological functionals associated with -point connected compone…

math.PR2026

Hydrodynamic limit of exclusion processes with killing on weighted Riemannian manifolds via a graph discretization

Satoshi Ishiwata, Hiroshi Kawabi, Kenkichi Tsunoda

In the present paper, we consider an exclusion process with killing on a proximity graph constructed from a partition of a geodesically complete weighted Riemannian manifold. We ri…

math.PR2026

Critical stationary fluctuations in reaction--diffusion processes

Luis Cardoso, Claudio Landim, Kenkichi Tsunoda

We study stationary fluctuations at criticality for a one-dimensional reaction--diffusion process combining symmetric simple exclusion dynamics with Glauber-type spin flips. The st…

math.PR2026

Hydrodynamic limit for Glauber-Kawasaki dynamics on the Sierpiński gasket

Patrick van Meurs, Kenkichi Tsunoda

We prove the hydrodynamic limit for Glauber-Kawasaki dynamics on the Sierpiński gasket, a prototypical fractal graph that lacks translational invariance. The main novelty lies in i…