The branching number of intermediate growth trees

G Amir, S Yang - arXiv preprint arXiv:2205.14238, 2022 - arxiv.org
We introduce an" intermediate branching number"(IBN) which captures the branching of
intermediate growth trees, similar in spirit to the well-studied branching number of …

The branching-ruin number as critical parameter of random processes on trees

A Collevecchio, CB Huynh, D Kious - 2019 - projecteuclid.org
The branching-ruin number of a tree, which describes its asymptotic growth and geometry,
can be seen as a polynomial version of the branching number. This quantity was defined by …

Large deviation principle for empirical measures of once-reinforced random walks on finite graphs

X Huang, Y Liu, K Xiang - arXiv preprint arXiv:2206.12801, 2022 - arxiv.org
In this paper, we focus on studying the long time behaviors of a type of random walk called
the $\delta $ once-reinforced random walk ($\delta $-ORRW) on a finite connected graph …

[图书][B] In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius

ME Vares, R Fernández, LR Fontes, CM Newman - 2021 - Springer
Vladas was born in Vilnius, Lithuania, on August 23, 1963, and did his undergraduate
studies in Mathematics from 1982 to 1985 at Vilnius University. There, in 1986, he received …

Random walk in slowly changing environments

B Park, S Ray - arXiv preprint arXiv:2406.14914, 2024 - arxiv.org
A Random Walk in Changing Environment (RWCE) is a weighted random walk on a locally
finite, connected graph $ G $ with random, time-dependent edge-weights. This includes self …

Structural properties of conditioned random walks on integer lattices with random local constraints

S Foss, A Sakhanenko - In and Out of Equilibrium 3: Celebrating Vladas …, 2021 - Springer
We consider a random walk on a multidimensional integer lattice with random bounds on
local times, conditioned on the event that it hits a high level before its death. We introduce an …

A subperiodic tree whose intermediate branching number is strictly less than the lower intermediate growth rate

P Tang - Electronic Communications in Probability, 2023 - projecteuclid.org
Electron. Commun. Probab. 28 (2023), article no. 39, https://doi.org/10.1214/23-ECP544 Page
1 Electron. Commun. Probab. 28 (2023), article no. 39, 1–8. https://doi.org/10.1214/23-ECP544 …

A subperiodic tree whose intermediate branching number is strictly less than the intermediate growth rate

P Tang - arXiv preprint arXiv:2212.05553, 2022 - arxiv.org
arXiv:2212.05553v1 [math.PR] 11 Dec 2022 Page 1 arXiv:2212.05553v1 [math.PR] 11 Dec
2022 A subperiodic tree whose intermediate branching number is strictly less than the …

Mean Hitting Time on Recursive Growth Tree Network

F Ma, P Wang - arXiv preprint arXiv:2112.04727, 2021 - arxiv.org
In this paper, we are concerned with mean hitting time $\langle\mathcal {H}\rangle $ for
random walks on recursive growth tree networks that are built based on an arbitrary tree as …

Uniqueness and non-uniqueness for spin-glass ground states on trees

J Bäumler - 2019 - projecteuclid.org
We consider a spin glass at temperature T=0 where the underlying graph is a locally finite
tree. We prove for a wide range of coupling distributions that uniqueness of ground states is …