9 citations · 11 across the 4 of their papers we have counts for
5 papers
Energy statistics in disordered systems: The local REM conjecture and beyond
Anton Bovier, Irina Kurkova
Recently, Bauke and Mertens conjectured that the local statistics of energies in random spin systems with discrete spin space should in most circumstances be the same as in the ran…
Timescales of population rarity and commonness in random environments
R. Ferriere, A. Guionnet, I. Kurkova
This paper investigates the influence of environmental noise on the characteristic timescale of the dynamics of density-dependent populations. General results are obtained on the s…
Poisson convergence in the restricted -partioning problem
Anton Bovier, Irina Kurkova
The randomized -number partitioning problem is the task to distribute i.i.d. random variables into groups in such a way that the sums of the variables in each group are…
Rigorous results on some simple spin glass models
Anton Bovier, Irina Kurkova
In this paper we review some recent rigorous results that provide an essentially complete solution of a class of spin glass models introduced by Derrida in the 1980ies. These model…
Fluctuations of the free energy in the REM and the p-spin SK models
A. Bovier, I. Kurkova, M. Loewe
We consider the random fluctuations of the free energy in the -spin version of the Sherrington-Kirkpatrick model in the high temperature regime. Using the martingale approach of…