Author

J. Nagel

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Preprint Oct 2026

Biased random walk on a locally infinite Galton-Watson tree

We propose a new variant of a biased random walk on a Galton-Watson tree, in which some vertices have infinitely many children. These vertices induce a natural regeneration structure, which allows to study differentiability and also monotonicity of the speed of the random walk in the bias parameter. Additionally, we sh...

J. Nagel · 0 citations

Preprint Oct 2026

Random walk in a regenerating random environment

In this paper we consider random walks moving in a dynamic random environment that is completely resampled with probability $p$ after each step of the random walker. This resampling yields a straightforward regeneration structure and limit theorems, such as a law of large numbers with a limiting speed $v(p)$ that depen...

Raphael Martin, J. Nagel · 0 citations