4 citations · 13 across the 11 of their papers we have counts for
11 papers
Quantum estimates for classical polynomial optimization
Oleg Evnin
The problem of finding lower and upper bounds on multivariate homogeneous polynomials is both difficult and important given its applications to questions ranging from dynamical sta…
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…
Random matrix theory of sparse neuronal networks with heterogeneous timescales
Thiparat Chotibut, Oleg Evnin, Weerawit Horinouchi
Training recurrent neuronal networks consisting of excitatory (E) and inhibitory (I) units with additive noise for working memory computation slows and diversifies inhibitory times…
Spontaneous symmetry breaking on graphs and lattices
Oleg Evnin
Spontaneous symmetry breaking is a cornerstone of modern physics, defining a wealth of phenomena in condensed-matter and high-energy physics, and beyond. It requires an infinite nu…
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…
Hammerstein equations for sparse random matrices
Pawat Akara-pipattana, Oleg Evnin
Finding eigenvalue distributions for a number of sparse random matrix ensembles can be reduced to solving nonlinear integral equations of the Hammerstein type. While a systematic m…
First return times on sparse random graphs
Oleg Evnin, Weerawit Horinouchi
We consider random walks in the form of nearest-neighbor hopping on Erdos-Renyi random graphs of finite fixed mean degree c as the number of vertices N tends to infinity. In this r…
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…
Nonlinear instability and solitons in a self-gravitating fluid
G. N. Koutsokostas, S. Sypsas, O. Evnin +2
We study a spherical, self-gravitating fluid model, which finds applications in cosmic structure formation. We argue that since the system features nonlinearity and gravity-induced…