On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field

LV Bogachev, UA Rozikov - Journal of Statistical Mechanics …, 2019 - iopscience.iop.org
The paper concerns the q-state Potts model (ie with spin values in) on a Cayley tree of
degree (ie with k+ 1 edges emanating from each vertex) in an external (possibly random) …

Optimizing the trapping (transport) efficiency in regular branched networks

J Peng, T Chen, G Xu - IEEE Transactions on Network Science …, 2022 - ieeexplore.ieee.org
Trapping processes are a kind of random walks which have wide range of applications.
Controlling and optimizing the trapping (transport) efficiency has been a hot topic in the past …

SLLN and annealed CLT for random walks in IID random environment on Cayley trees

S Athreya, A Bandyopadhyay, A Dasgupta… - … Processes and their …, 2022 - Elsevier
We consider the random walk in an independent and identically distributed (iid) random
environment on a Cayley graph of a finite free product of copies of Z and Z 2. Such a Cayley …

SLLN and CLT for Random Walks in IID Random Environment on Cayley Trees

S Athreya, A Bandyopadhyay, A Dasgupta… - arXiv preprint arXiv …, 2020 - arxiv.org
We consider the random walk in an independent and identically distributed (iid) random
environment on a Cayley graph of a finite free product of copies of $\mathbb {Z} $ and …