Return probability after a quench from a domain wall initial state in the spin-1/2 XXZ chain
JM Stéphan - Journal of Statistical Mechanics: Theory and …, 2017 - iopscience.iop.org
We study the return probability and its imaginary (τ) time continuation after a quench from a
domain wall initial state in the XXZ spin chain, focusing mainly on the region with anisotropy …
domain wall initial state in the XXZ spin chain, focusing mainly on the region with anisotropy …
Random growth models
The link between a particular class of growth processes and random matrices was
established in the now famous 1999 article of Baik, Deift, and Johansson on the length of the …
established in the now famous 1999 article of Baik, Deift, and Johansson on the length of the …
Fractional Brownian motion with Hurst index and the Gaussian Unitary Ensemble
The goal of this paper is to establish a relation between characteristic polynomials of N*N
GUE random matrices H as N→∞, and Gaussian processes with logarithmic correlations …
GUE random matrices H as N→∞, and Gaussian processes with logarithmic correlations …
The arctic curve of the domain-wall six-vertex model
The problem of the form of the 'arctic'curve of the six-vertex model with domain wall
boundary conditions in its disordered regime is addressed. It is well-known that in the …
boundary conditions in its disordered regime is addressed. It is well-known that in the …
Six-vertex, loop and tiling models: integrability and combinatorics
P Zinn-Justin - arxiv preprint arxiv:0901.0665, 2009 - arxiv.org
This is a review (including some background material) of the author's work and related
activity on certain exactly solvable statistical models in two dimensions, including the six …
activity on certain exactly solvable statistical models in two dimensions, including the six …
Arctic boundaries of the ice model on three-bundle domains
A Aggarwal - Inventiones mathematicae, 2020 - Springer
In this paper we consider the six-vertex model at ice point on an arbitrary three-bundle
domain, which is a generalization of the domain-wall ice model on the square (or …
domain, which is a generalization of the domain-wall ice model on the square (or …
Formal matrix integrals and combinatorics of maps
B Eynard - Random matrices, random processes and integrable …, 2011 - Springer
6 Formal Matrix Integrals and Combinatorics of Maps Page 1 6 Formal Matrix Integrals and
Combinatorics of Maps B. Eynard Service de Physique Théorique de Saclay, 91191 Gif-sur-Yvette …
Combinatorics of Maps B. Eynard Service de Physique Théorique de Saclay, 91191 Gif-sur-Yvette …
The arctic curve of the domain wall six-vertex model in its antiferroelectric regime
The arctic curve of the domain wall six-vertex model in its antiferroelectric regime Page 1
Journal of Statistical Mechanics: Theory and Experiment LETTER The arctic curve of the …
Journal of Statistical Mechanics: Theory and Experiment LETTER The arctic curve of the …
Emptiness formation probability, Toeplitz determinants, and conformal field theory
JM Stéphan - Journal of Statistical Mechanics: Theory and …, 2014 - iopscience.iop.org
We revisit the study of the emptiness formation probability, the probability of forming a
sequence of ℓ spins with the same ferromagnetic orientation in the ground state of a …
sequence of ℓ spins with the same ferromagnetic orientation in the ground state of a …
Domino tilings and the six-vertex model at its free-fermion point
At the free-fermion point, the six-vertex model with domain wall boundary conditions
(DWBC) can be related to the Aztec diamond, a domino tiling problem. We study the …
(DWBC) can be related to the Aztec diamond, a domino tiling problem. We study the …