3 papers
math.DS2026
Natural Invariant Measures for Chaotic Game Dynamics: Finding Order in Chaos
Jakub Bielawski, Thiparat Chotibut, Fryderyk Falniowski +2
We study the long-term behavior of the Multiplicative Weights Update (MWU) algorithm in game settings where learning dynamics frequently fail to converge to Nash equilibria and ins…
math.DS2026
Strange bifurcation diagrams
Jakub Bielawski, Thiparat Chotibut, Fryderyk Falniowski +2
We investigate a family of one dimensional maps for which the bifurcation diagram looks differently than the usual ones. We describe and exemplify various unique and interesting ph…
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…