Author

K. Tsunoda

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Preprint Sep 2026

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

We prove moderate deviation principles and laws of the iterated logarithm in the sparse regime for geometric and topological functionals associated with $k$-point connected components. These limit theorems are established at both the measure-valued and vector-valued levels, for Poisson and binomial point processes. As...

Yudai Sakihara, K. Tsunoda · 0 citations

Preprint Oct 2026

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

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 function is obtained from the dynamical large deviation principle for the empirical density and is characterized by a variational constraint invol...

Insuk Seo, K. Tsunoda · 0 citations