Volume entropy

Known as: Entropy (disambiguation)

The volume entropy is an asymptotic invariant of a compact Riemannian manifold that measures the exponential growth rate of the volume of metric…

Papers overview

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2018

Entropy is a classical measure to quantify the amount of information or complexity of a system. Various entropy-based measures…

2015

Dunkel and Hilbert, "Consistent thermostatistics forbids negative absolute temperatures," Nature Physics, {\bf 10}, 67 (2014…

2013

The use of file or volume encryption as a counter-forensic technique, particularly when combined with stegano-graphic mechanisms…

2012

For a compact Riemannian manifold (M; g) with Ric (g) (n 1), we have the following sharp geometric inequalities for which the…

2011

We consider the volume entropy of closed flat surfaces of genus $g\geq 2$ and area 1. We show that a sequence of flat surfaces…

2010

In this paper, we first introduce the weighted forward reduced volume of Ricci flow. The weighted forward reduced volume, which…

2008

In this thesis, we prove that many asymptotic invariants of closed manifolds depend only on the image of the fundamental class…

2007

Department of Physics,University of North Texas Denton, TX 76203-1427, U.S.A.(Dated: February 15, 2008)We derive the…

2007

We obtain an upper bound of the volume entropy and the simplicial volume with integrals of Ricci curvature over closed geodesics…

2002

This article discusses the dynamical properties of homogeneous colloid—polymer blends consisting of hairy nanospheres and linear…