Results 31 to 40 of about 118,745,644 (290)

The minimal entropy problem for 3-manifolds with zero simplicial volume [PDF]

open access: yes, 2003
In this note, we consider the minimal entropy problem, namely the question of whether there exists a smooth metric of minimal (topological) entropy, for certain classes of closed 3 ...
Anderson, J.W.   +3 more
core   +1 more source

Topological entropy of sets of generic points for actions of amenable groups [PDF]

open access: yesScience China Mathematics, 2017
Let $G$ be a countable discrete amenable group which acts continuously on a compact metric space $X$ and let $μ$ be an ergodic $G-$invariant Borel probability measure on $X$. For a fixed tempered Følner sequence $\{F_n\}$ in $G$ with $\lim\limits_{n\rightarrow+\infty}\frac{|F_n|}{\log n}=\infty$, we prove the following variational principle: $$h^B(G_μ,\
Zheng, Dongmei, Chen, Ercai
openaire   +3 more sources

Q-entropy for general topological dynamical systems

open access: yesDiscrete and Continuous Dynamical Systems, 2019
The paper extends the \(q\)-entropy theory from symbolic to general topological dynamical systems. Specifically, by means of a weak Gibbs measure, the authors define the \(q\)-topological entropy and the \(q\)-metric entropy, and then study their basic properties.
Zhao, Y (Zhao, Yun)   +2 more
openaire   +3 more sources

Topology change and context dependence [PDF]

open access: yes, 1999
The nonclassical features of quantum mechanics are reproduced using models constructed with a classical theory-general relativity. The inability to define complete initial data consistently and independently of future measurements, nonlocality, and the ...
Hadley, Mark J.
core   +1 more source

Nonlinear walkers and efficient exploration of congested networks

open access: yesPhysical Review Research, 2020
Random walks are the simplest way to explore or search a graph and have revealed a very useful tool to investigate and characterize the structural properties of complex networks from the real world.
Timoteo Carletti   +3 more
doaj   +1 more source

Multi-boundary entanglement in Chern-Simons theory and link invariants

open access: yesJournal of High Energy Physics, 2017
We consider Chern-Simons theory for gauge group G at level k on 3-manifolds M n with boundary consisting of n topologically linked tori. The Euclidean path integral on M n defines a quantum state on the boundary, in the n-fold tensor product of the torus
Vijay Balasubramanian   +3 more
doaj   +1 more source

Cellular structures in Topology [PDF]

open access: yes, 1990
This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type.
Renzo Piccinini   +4 more
core   +1 more source

Thermodynamic analysis of black holes with cloud of strings and quintessence via Barrow entropy

open access: yesPhysics Letters B
We explore a Reissner-Nordström Anti-de Sitter (RN-AdS) black hole with a cloud of string and quintessence to study thermodynamics and thermodynamic topology in the presence of Barrow entropy, which is currently being used widely as the horizon of a ...
Usman Zafar   +3 more
doaj   +1 more source

Genericity of Geodesic Flows with Positive Topological Entropy on S2

open access: yesJournal of Differential Geometry, 2002
In the paper under review the authors prove that the set of \(C^\infty\) Riemannian metrics on \(S^2\) and \(\mathbb{R}P^2\) whose geodesic flow has positive topological entropy is open and dense in the \(C^2\) topology.
Contreras-Barandiarán, Gonzalo   +1 more
openaire   +2 more sources

C∞ Genericity of Positive Topological Entropy for Geodesic Flows on S2 [PDF]

open access: yesJournal of Differential Geometry, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Knieper, Gerhard, Weiss, Howard
openaire   +3 more sources

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