Year: 2026
Type: article
Abstract: We consider the maximum Mt of branching random walk in a space-inhomogeneous random environment on Z. In this model the branching rate while at some location x∈Z is randomized in an i.i.d. manner. We prove that there is a centering m˜t depending only on the environment such that (Mt−m˜t)t≥0 is tight in an annealed sense.
DOI: 10.1214/26-aap2327
Author: Xaver Kriechbaum
Institution: Weizmann Institute of Science
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4406444243