Features of a spin glass in the random field Ising model
S Chatterjee - Communications in Mathematical Physics, 2024 - Springer
A longstanding open question in the theory of disordered systems is whether short-range
models, such as the random field Ising model or the Edwards–Anderson model, can indeed …
models, such as the random field Ising model or the Edwards–Anderson model, can indeed …
Analysis of the Anderson operator
We consider the continuous Anderson operator $ H=\Delta+\xi $ on a two dimensional
closed Riemannian manifold $\mathcal {S} $. We provide a short self-contained functional …
closed Riemannian manifold $\mathcal {S} $. We provide a short self-contained functional …
The scaling limit of the directed polymer with power-law tail disorder
Q Berger, H Lacoin - Communications in Mathematical Physics, 2021 - Springer
In this paper, we study the so-called intermediate disorder regime for a directed polymer in a
random environment with heavy-tail. Consider a simple symmetric random walk (S_n) _ n ≥ …
random environment with heavy-tail. Consider a simple symmetric random walk (S_n) _ n ≥ …
Infinite disorder renormalization fixed point for the continuum random field Ising chain
O Collin, G Giacomin, Y Hu - Probability Theory and Related Fields, 2024 - Springer
We consider the continuum version of the random field Ising model in one dimension: this
model arises naturally as weak disorder scaling limit of the original Ising model. Like for the …
model arises naturally as weak disorder scaling limit of the original Ising model. Like for the …
Quantitative disorder effects in low-dimensional spin systems
Abstract The Imry–Ma phenomenon, predicted in 1975 by Imry and Ma and rigorously
established in 1989 by Aizenman and Wehr, states that first-order phase transitions of low …
established in 1989 by Aizenman and Wehr, states that first-order phase transitions of low …
Jeffreys Divergence and Generalized Fisher Information Measures on Fokker–Planck Space–Time Random Field
J Zhang - Entropy, 2023 - mdpi.com
In this paper, we present the derivation of Jeffreys divergence, generalized Fisher
divergence, and the corresponding De Bruijn identities for space–time random field. First …
divergence, and the corresponding De Bruijn identities for space–time random field. First …
A phase transition and critical phenomenon for the two-dimensional random field Ising model
J Ding, F Huang, A Xia - arXiv preprint arXiv:2310.12141, 2023 - arxiv.org
We study the random field Ising model in a two-dimensional box with side length $2 N $
where the external field is given by independent normal variables with mean $0 $ and …
where the external field is given by independent normal variables with mean $0 $ and …
Scaling limit of the disordered generalized Poland–Scheraga model for DNA denaturation
Q Berger, A Legrand - Probability Theory and Related Fields, 2024 - Springer
Abstract The Poland–Scheraga model, introduced in the 1970s, is a reference model to
describe the denaturation transition of DNA. More recently, it has been generalized in order …
describe the denaturation transition of DNA. More recently, it has been generalized in order …