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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2019

2018

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

2018

For n ‐dimensional Riemannian manifolds M with Ricci curvature bounded below by −(n−1) , the volume entropy is bounded above by n…

2016

2015

Entropic cosmology assumes several forms of entropy on the horizon of the universe, where the entropy can be considered to behave…

2014

2012

The approximability of a convex body is a number which measures the difficulty to approximate that body by polytopes. We prove…

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…

2009

We characterize the volume entropy of a regular building as the topological pressure of the geodesic flow on an apartment. We…

2002

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