We study the ground-state entanglement of gapped domain walls between topologically ordered systems in two spatial dimensions. derive a universal correction to entropy, which is equal logarithm total quantum dimension set superselection sectors localized on wall. This expression derived from recently proposed bootstrap method.

In this paper we study persistence features of topological entropy and periodic orbit growth Hamiltonian diffeomorphisms on surfaces with respect to Hofer's metric. We exhibit stability these dynamical quantities in a rather strong sense for specific family maps studied by Polterovich Shelukhin. A crucial ingredient comes from enhancement lower bounds the forced point, formulated terms geometri...

In this paper, we study the quantitative behavior of one-dimensional linear cellular automata Tf [−r,r], defined by local rule f(x−r, . . . , xr) = r ∑ i=−r λixi (mod m), acting on the space of all doubly infinite sequences with values in a finite ring Zm, m ≥ 2. Once generalize the formulas given by Ban et al. [J. Cellular Automata 6 (2011) 385-397] for measure-theoretic entropy and topologica...

We describe an automated method for computing rigorous lower bounds for topological entropy which was originally introduced in [DFTn07]. We combine this method with the work of Zin Arai in [Araar] to find rigorous lower bounds on topological entropy for 43 hyperbolic plateaus of the Hénon map.

Recently Lewis Bowen introduced a notion of entropy for measure-preserving actions of a countable sofic group on a standard probability space admitting a generating partition with finite entropy. By applying an operator algebra perspective we develop a more general approach to sofic entropy which produces both measure and topological dynamical invariants, and we establish the variational princi...

We investigate the relation between preimage multiplicity and topological entropy for continuous maps. An argument originated by Misiurewicz and Przytycki shows that if every regular value of a C1 map has at least m preimages then the topological entropy of the map is at least log m. For every integer, there exist continuous maps of the circle with entropy zero for which every point has at leas...