Results 41 to 50 of about 928,980 (320)
The Bridge Theorem for totally disconnected LCA groups [PDF]
, 2013 For a totally disconnected locally compact abelian group, we prove that the topological entropy of a continuous endomorphism coincides with the algebraic entropy of the dual endomorphism with respect to the Pontryagin duality.
Bruno, Anna Giordano, Dikranjan, Dikran
core +2 more sources
Topological phases and topological entropy of two-dimensional systems with finite correlation length
, 2008 We elucidate the topological features of the entanglement entropy of a region in two dimensional quantum systems in a topological phase with a finite correlation length $\xi$.
C. Holzhey +6 more
core +1 more source
Entanglement, fidelity and topological entropy in a quantum phase transition to topological order [PDF]
, 2008 We present a numerical study of a quantum phase transition from a spin-polarized to a topologically ordered phase in a system of spin-1/2 particles on a torus. We demonstrate that this non-symmetry-breaking topological quantum phase transition (TOQPT) is
A. Hamma +7 more
core +1 more source
The Topological Entropy Conjecture
Mathematics, 2021 For a compact Hausdorff space X, let J be the ordered set associated with the set of all finite open covers of X such that there exists nJ, where nJ is the dimension of X associated with ∂. Therefore, we have Hˇp(X;Z), where 0≤p≤n=nJ.
Lvlin Luo
doaj +1 more source
A note on dimensional entropy for amenable group actions
, 2017 In this short note, for countably infinite amenable group actions, we provide topological proofs for the following results: Bowen topological entropy (dimensional entropy) of the whole space equals the usual topological entropy along tempered F{\o}lner ...
Dou, Dou, Zhang, Ruifeng
core +1 more source
Bekenstein-Hawking entropy as topological entanglement entropy [PDF]
Journal of High Energy Physics, 2013 15 pages, 3 figures; typos corrected, references ...
Mcgough, Lauren, Verlinde, Herman
openaire +2 more sources
Subshifts on Infinite Alphabets and Their Entropy
Entropy, 2020 We analyze symbolic dynamics to infinite alphabets by endowing the alphabet with the cofinite topology. The topological entropy is shown to be equal to the supremum of the growth rate of the complexity function with respect to finite subalphabets.
Sharwin Rezagholi
doaj +1 more source
Thermodynamic formalism for field driven Lorentz gases
, 2003 We analytically determine the dynamical properties of two dimensional field driven Lorentz gases within the thermodynamic formalism. For dilute gases subjected to an iso-kinetic thermostat, we calculate the topological pressure as a function of a ...
C. Beck +10 more
core +1 more source
Entropy and the variational principle for actions of sofic groups [PDF]
, 2010 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.
A.N. Kolmogorov +15 more
core +3 more sources
Topological entropy for locally linearly compact vector spaces [PDF]
Topology and its Applications, 2017 By analogy with the topological entropy for continuous endomorphisms of totally disconnected locally compact groups, we introduce a notion of topological entropy for continuous endomorphisms of locally linearly compact vector spaces.
I. Castellano, A. Bruno
semanticscholar +1 more source