Ryoichi Suzuki

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math.PR2026

Boundary-Moment Universality and Curvature Corrections in Random Geometric Graphs on Riemannian Manifolds

Taro Hayashi, Subaru Nomoto, Ryoichi Suzuki

Let $(M, g)$ be a smooth, closed, connected $d$ -dimensional Riemannian manifold, and let $X_{1}, \dots, X_{n}$ be i.i.d.\ with common law $f d vol_{g}$ , where $f \in C^{4} (M)$ is str…

math.PR2026

Existence of densities and atoms for the running maximum of time-inhomogeneous jump diffusions

Takuya Nakagawa, Ryoichi Suzuki

We prove absolute continuity of the running maximum $X_{T}^{*} = sup_{0 \leq s \leq T} X_{s}$ of one-dimensional time-inhomogeneous Lévy--Itô diffusions driven by a Brownian motion and…

math.PR2026

Pathwise stability for one-dimensional SDEs driven by Brownian motion and a symmetric stable process

Takuya Nakagawa, Ryoichi Suzuki

We prove quantitative pathwise stability estimates for one-dimensional stochastic differential equations driven by a common Brownian motion and a common symmetric $α$ -stable proces…