From the 1 of 9 linked papers with an AI index.
9 papers
Quantum estimates for classical polynomial optimization
Oleg Evnin
The paper proposes a quantum‑mechanical variational approach that maps a multivariate homogeneous polynomial to a large operator, whose eigenvalues provide lower and upper bounds f…
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…
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…
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…
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…