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- Aalto UniversityFI2 papers
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- Friedrich Schiller University JenaDE1 paper
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math.DS2026
A classification of intrinsic ergodicity for recognisable random substitution systems
Philipp Gohlke, Andrew Mitchell
We study a class of dynamical systems generated by random substitutions, which contains both intrinsically ergodic systems and instances with several measures of maximal entropy. I…
math.DS2026
Non-Birkhoff periodic orbits in symmetric billiards
Casper Oelen, Bob Rink, Mattia Sensi
We study non-Birkhoff periodic orbits in symmetric convex planar billiards. Our main result provides a quantitative criterion for the existence of such orbits with prescribed minim…
math.DS2026
Memorisation and forgetting in a learning Hopfield neural network: bifurcation mechanisms, attractors and basins
Adam E. Essex, Natalia B. Janson, Rachel A. Norris +1
Despite explosive expansion of artificial intelligence based on artificial neural networks (ANNs), these are employed as "black boxes'', as it is unclear how, during learning, they…