Lower bounds on directional complexity for irrational triangle billiards
Dmitri Scheglov
TL;DR
This paper establishes explicit lower bounds on the growth of directional complexity in typical trajectories of irrational triangle billiards, advancing understanding of their dynamical complexity.
Contribution
It introduces new explicit lower estimates for the complexity growth in irrational triangle billiards, a previously less understood aspect.
Findings
Explicit lower bounds on complexity growth in typical directions
Enhanced understanding of dynamical complexity in irrational billiards
Progress towards characterizing billiard trajectory complexity
Abstract
We provide explicit lower estimates on the complexity growth in typical directions for a class of irrational triangle billiards
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Taxonomy
TopicsMathematical Dynamics and Fractals · Stochastic processes and statistical mechanics · Analytic Number Theory Research