4 papers · 1 filter
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…
Random tensor isomorphism under orthogonal and unitary actions
Jeremy Chizewer, Samuel Everett, Deven Mithal +1
We study the problem of testing whether two tensors in are isomorphic under the natural action of orthogonal groups $\text…
Correspondences in computational and dynamical complexity II: forcing complex reductions
Samuel Everett
An algebraic telic problem is a decision problem in formalizing finite-time reachability questions for one-dimensional dynamical systems. We prove that the…
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…