Local limit theorem for directed polymers beyond the -phase
S Junk - arXiv preprint arXiv:2307.05097, 2023 - arxiv.org
We consider the directed polymer model in the weak disorder phase under the assumption
that the partition function is $ L^ p $-bounded for some $ p> 1+ 2/d $. We prove a local limit …
that the partition function is $ L^ p $-bounded for some $ p> 1+ 2/d $. We prove a local limit …
Quenched local limit theorem for a directed random walk on the backbone of a supercritical oriented percolation cluster for
SA Bethuelsen, M Birkner, A Depperschmidt… - arXiv preprint arXiv …, 2024 - arxiv.org
In this work we extend the quenched local limit theorem obtained by the authors in
[BBDS23]. More precisely, we consider a directed random walk on the backbone of the …
[BBDS23]. More precisely, we consider a directed random walk on the backbone of the …
Ancestral lineages for a branching annihilating random walk
P Oswald - arXiv preprint arXiv:2403.19483, 2024 - arxiv.org
We study ancestral lineages of individuals of a stationary discrete-time branching
annihilating random walk (BARW) on the $ d $-dimensional lattice $\mathbb {Z}^ d $. Each …
annihilating random walk (BARW) on the $ d $-dimensional lattice $\mathbb {Z}^ d $. Each …