Define the exit time and tangential exit location by τΩ := inf{t >0 :X t ∈∂Ω},Ξ ∥ := (XτΩ)∥ ∈R d−1

Drift-free joint law in the half-space Letd≥2denote the ambient dimension in this appendix, consider the absorbing half-space Ω ={x= (x 1, x∥)∈R×R d−1 :x 1 >0},(B1a) ∂Ω ={(0

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First-Hitting Location Laws as Boundary Observables of Drift-Diffusion Processes

cond-mat.stat-mech · 2026-01-27 · unverdicted · novelty 7.0

First-hitting location laws for drift-diffusion processes emerge as exact boundary measures induced by elliptic operators, serving as intrinsic observables of geometry, drift, and irreversibility.

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First-Hitting Location Laws as Boundary Observables of Drift-Diffusion Processes cond-mat.stat-mech · 2026-01-27 · unverdicted · none · ref 3
First-hitting location laws for drift-diffusion processes emerge as exact boundary measures induced by elliptic operators, serving as intrinsic observables of geometry, drift, and irreversibility.

Define the exit time and tangential exit location by τΩ := inf{t >0 :X t ∈∂Ω},Ξ ∥ := (XτΩ)∥ ∈R d−1

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