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math.DS2026
Persistence of periodic billiard orbits under domain deformation
Samuel Everett
We prove that if a polygon admits a periodic billiard orbit satisfying a certain combinatorial criterion, then there are paths of polygons in parameter space for which every polygo…
math.DS2026
Correspondences in computational and dynamical complexity I
Samuel Everett
We begin development of a method for studying dynamical systems using concepts from computational complexity theory. We associate families of decision problems, called telic proble…
math.DS2024
A geometric dynamical system with relation to billiards
Samuel Everett
We introduce a geometric dynamical system where iteration is defined as a cycling composition of different maps acting on a space composed of three or more lines in .…