4 citations · 13 across the 11 of their papers we have counts for
5 papers · 1 filter
Random matrix theory of integrability-to-chaos transition
Ben Craps, Marine De Clerck, Oleg Evnin +1
The statistics of gaps between quantum energy levels is a hallmark criterion in quantum chaos and quantum integrability studies. The relevant distributions corresponding to exactly…
A set of master variables for the two-star random graph
Pawat Akara-pipattana, Oleg Evnin
The two-star random graph is the simplest exponential random graph model with nontrivial interactions between the graph edges. We propose a set of auxiliary variables that control…
Ensemble inequivalence and phase transitions in unlabeled networks
Oleg Evnin, Dmitri Krioukov
We discover a first-order phase transition in the canonical ensemble of random unlabeled networks with a prescribed average number of links. The transition is caused by the nonconc…
Statistical field theory of random graphs with prescribed degrees
Pawat Akara-pipattana, Oleg Evnin
Statistical field theory methods have been very successful with a number of random graph and random matrix problems, but it is challenging to apply these methods to graphs with pre…
A Gaussian integral that counts regular graphs
Oleg Evnin, Weerawit Horinouchi
In a recent article J. Phys. Compl. 4 (2023) 035005, Kawamoto evoked statistical physics methods for the problem of counting graphs with a prescribed degree sequence. This treatmen…