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Asymptotics of the mean-field Heisenberg model
Asymptotics the mean-field Heisenberg model Mathematical Physics
2012/4/16
We consider the mean-field classical Heisenberg model and obtain detailed information about the magnetization by studying the model on a complete graph and sending the number of vertices to infinity. ...
An effective medium approach to the asymptotics of the statistical moments of the parabolic Anderson model and Lifshitz tails
Random medium random Schrodinger operators heat equation with random potential
2011/7/27
An effective medium approach to the asymptotics of the statistical moments of the parabolic Anderson model and Lifshitz tails.
Sharp asymptotics for Toeplitz determinants, fluctuations and the gaussian free field on a Riemann surface
Sharp asymptotics fluctuations the gaussian free Riemann surface
2011/7/26
Abstract: We consider canonical determinantal point processes with N particles on a compact Riemann surface X defined with respect to the constant curvature metric and show that in the large N-limit t...
Uniform asymptotics for the full moment conjecture of the Riemann zeta function
full moment conjecture the Riemann zeta function $L$-functions Number Theory
2011/7/28
Abstract: Conrey, Farmer, Keating, Rubinstein, and Snaith recently conjectured formulas for the full asymptotics of the moments of $L$-functions. In the case of the Riemann zeta function, their conjec...
Caustics, counting maps and semi-classical asymptotics
semi-classical asymptotics counting maps Caustics
2010/4/7
This paper develops a deeper understanding of the structure and combinatorial significance of the partition function for Hermitean random matrices. The coefficients of the large N expansion of the log...
Eigenvalue Asymptotics of the Even-Dimensional Exterior Landau-Neumann Hamiltonian
Eigenvalue Asymptotics magnetic field Landau-Neumann Hamiltonian
2009/9/4
We study the Schrödinger operator with a constant magnetic field in the exterior of a compact domain in ℝ2d, d≥1. The spectrum of this operator consists of clusters of eigenvalues around th...