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math.DS2024
Interval maps mimicking circle rotations
Jakub Bielawski, Thiparat Chotibut, Fryderyk Falniowski +2
We investigate the dynamics of maps of the real line whose behavior on an invariant interval is close to a rational rotation on the circle. We concentrate on a specific two-paramet…
math.DS2018
Family of chaotic maps from game theory
Thiparat Chotibut, Fryderyk Falniowski, Michal Misiurewicz +1
From a two-agent, two-strategy congestion game where both agents apply the multiplicative weights update algorithm, we obtain a two-parameter family of maps of the unit square to i…