Universality of superconcentration in the Sherrington–Kirkpatrick model
We study the universality of superconcentration for the free energy in the Sherrington–
Kirkpatrick model. In 10, Chatterjee showed that when the system consists of NN spins and …
Kirkpatrick model. In 10, Chatterjee showed that when the system consists of NN spins and …
Linear and superlinear spread for stochastic combustion growth process
V Bezborodov, T Krueger - Annales de l'Institut Henri Poincare (B) …, 2024 - projecteuclid.org
Consider a stochastic growth model on Z d. Start with some active particle at the origin and
sleeping particles elsewhere. The initial number of particles at x∈ Z d is η (x), where (η (x)) …
sleeping particles elsewhere. The initial number of particles at x∈ Z d is η (x), where (η (x)) …
Lipschitz-continuity of time constant in generalized First-passage percolation
S Nakajima - Stochastic Processes and their Applications, 2024 - Elsevier
In this article, we consider a generalized First-passage percolation model, where each edge
in Z d is independently assigned an infinite weight with probability 1− p, and a random finite …
in Z d is independently assigned an infinite weight with probability 1− p, and a random finite …
On the Universality of the Superconcentration in Mixed p-Spin Models
Consider the mixed p-spin models with general environments such that the covariance of
Hamiltonian process is non-negative. In this paper, we prove the universality of the …
Hamiltonian process is non-negative. In this paper, we prove the universality of the …
Lipschitz-type estimate for the frog model with Bernoulli initial configuration
VH Can, N Kubota, S Nakajima - arXiv preprint arXiv:2403.18665, 2024 - arxiv.org
We consider the frog model with Bernoulli initial configuration, which is an interacting
particle system on the multidimensional lattice consisting of two states of particles: active …
particle system on the multidimensional lattice consisting of two states of particles: active …
Upper tail large deviation for the one-dimensional frog model
VH Can, N Kubota, S Nakajima - arXiv preprint arXiv:2312.02745, 2023 - arxiv.org
In this paper, we study the upper tail large deviation for the one-dimensional frog model. In
this model, sleeping and active frogs are assigned to vertices on $\mathbb Z $. While …
this model, sleeping and active frogs are assigned to vertices on $\mathbb Z $. While …
[HTML][HTML] Continuity for the asymptotic shape in the frog model with random initial configurations
N Kubota - Stochastic Processes and their Applications, 2020 - Elsevier
We consider the so-called frog model with random initial configurations, which is described
by the following evolution mechanism of simple random walks on the multidimensional cubic …
by the following evolution mechanism of simple random walks on the multidimensional cubic …