Dominik Schmid

activity

20182021

collaborators

4 papers

math.PR2021

Sharp concentration for the largest and smallest fragment in a $k$ -regular self-similar fragmentation

Piotr Dyszewski, Nina Gantert, Samuel G. G. Johnston +2

We study the asymptotics of the $k$ -regular self-similar fragmentation process. For $α > 0$ and an integer $k \geq 2$ , this is the Markov process $(I_{t})_{t \geq 0}$ in which each $I…

math.PR2019

The speed of the tagged particle in the exclusion process on Galton-Watson trees

Nina Gantert, Dominik Schmid

We study two different versions of the simple exclusion process on augmented Galton-Watson trees, the constant speed model and the varying speed model. In both cases, the simple ex…

math.PR2018

Limit theorems for the tagged particle in exclusion processes on regular trees

Dayue Chen, Peng Chen, Nina Gantert +1

We consider exclusion processes on a rooted $d$ -regular tree. We start from a Bernoulli product measure conditioned on having a particle at the root, which we call the tagged parti…