[图书][B] Directed polymers in random environments
F Comets - 2017 - Springer
This monograph contains the notes of lectures I gave in Saint Flour Probability Summer
School in July 2016. The two other courses were given by Paul Bourgade and by Scott …
School in July 2016. The two other courses were given by Paul Bourgade and by Scott …
Limiting results for the free energy of directed polymers in random environment with unbounded jumps
We study asymptotics of the free energy for the directed polymer in random environment.
The polymer is allowed to make unbounded jumps and the environment is given by …
The polymer is allowed to make unbounded jumps and the environment is given by …
On the number of maximal paths in directed last-passage percolation
On the number of maximal paths in directed last-passage percolation Page 1 The Annals of
Probability 2020, Vol. 48, No. 5, 2176–2188 https://doi.org/10.1214/19-AOP1419 © Institute of …
Probability 2020, Vol. 48, No. 5, 2176–2188 https://doi.org/10.1214/19-AOP1419 © Institute of …
Concentration results for directed polymer with unbounded jumps
S Nakajima - arXiv preprint arXiv:1603.05032, 2016 - arxiv.org
We study the free energy and its relevant quantity for the directed polymer in random
environment. The polymer is allowed to make unbounded jumps and the environment is …
environment. The polymer is allowed to make unbounded jumps and the environment is …
The critical branching random walk in a random environment dies out
O Garet, R Marchand - 2013 - projecteuclid.org
We study the possibility for branching random walks in random environment (BRWRE) to
survive. The particles perform simple symmetric random walks on the d-dimensional integer …
survive. The particles perform simple symmetric random walks on the d-dimensional integer …
On Properties of Optimal Paths in First-Passage Percolation: On Propertie of Optimal Paths
S Nakajima - Journal of Statistical Physics, 2019 - Springer
In this paper, we study some properties of optimal paths in the first passage percolation on
Z^ d Z d and show the following:(i) the number of optimal paths has an exponentially growth …
Z^ d Z d and show the following:(i) the number of optimal paths has an exponentially growth …
Existence of an intermediate phase for oriented percolation
H Lacoin - 2012 - projecteuclid.org
We consider the following oriented percolation model of N*Z^d: we equip N*Z^d with the
edge set {(n,x),(n+1,y)|n∈N,x,y∈Z^d\}, and we say that each edge is open with probability …
edge set {(n,x),(n+1,y)|n∈N,x,y∈Z^d\}, and we say that each edge is open with probability …
The quenched critical point for self-avoiding walk on random conductors
Y Chino, A Sakai - Journal of Statistical Physics, 2016 - Springer
Following similar analysis to that in Lacoin (Probab Theory Relat Fields 159: 777–808,
2014), we can show that the quenched critical point for self-avoiding walk on random …
2014), we can show that the quenched critical point for self-avoiding walk on random …
The number of open paths in oriented percolation
O Garet, JB Gouéré, R Marchand - 2017 - projecteuclid.org
We study the number N_n of open paths of length n in supercritical oriented percolation on
Z^d*N, with d\ge1, and we prove the existence of the connective constant for the …
Z^d*N, with d\ge1, and we prove the existence of the connective constant for the …
The number of open paths in oriented percolation
O Garet, JB Gouéré, R Marchand - arXiv preprint arXiv:1312.2571, 2013 - arxiv.org
We study the number $ N\_n $ of open paths of length $ n $ in supercritical oriented
percolation on $\Zd\times\N $, with $ d\ge 1$. We prove that on the percolation event $\{\inf …
percolation on $\Zd\times\N $, with $ d\ge 1$. We prove that on the percolation event $\{\inf …