3 papers
q-bio.NC2025
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…
cond-mat.stat-mech2025
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…
cond-mat.stat-mech2024
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…