Insuk Seo

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math.PR2025

Cutoff Phenomenon for Inhomogeneous Nonlinear Recombination in Arbitrary Finite Product Spaces

Junho Kim, Insuk Seo

In this article, we prove the cutoff phenomenon for a general class of the discrete-time nonlinear recombination models. This system models the evolution of a probability measure o…

math.PR2025

Metastability and time scales for parabolic equations with drift 2: the general time scale

Claudio Landim, Jungkyoung Lee, Insuk Seo

Consider the elliptic operator given by \[ \mathscr{L}_Îµf=b\cdot\nabla f+ÎµÎf \] for some smooth vector field $b : R^{d} \to R^{d}$ and $I^µ > 0$ , and the initial-valued p…

math.PR2024

Metastability and time scales for parabolic equations with drift 1: the first time scale

Claudio Landim, Jungkyoung Lee, Insuk Seo

Consider the elliptic operator given by $L_{I^} µ f = b \cdot \nabla f + I^µ I^ f$ for some smooth vector field $b : R^{d} \to R^{d}$ and a small parameter $…