Volume entropy
نویسندگان
چکیده
منابع مشابه
Minimal Volume Entropy on Graphs
Among the normalized metrics on a graph, we show the existence and the uniqueness of an entropy-minimizing metric, and give explicit formulas for the minimal volume entropy and the metric realizing it. Parmi les distances normalisées sur un graphe, nous montrons l’existence et l’unicité d’une distance qui minimise l’entropie, et nous donnons des formules explicites pour l’entropie volumique min...
متن کاملVolume Growth, Entropy and the Geodesic Stretch
Let (M, g) be a compact Riemannian manifold with universal covering M̃ . The simplest asymptotic invariant which can be associated to (M, g) is the exponential growth rate h(g) of volume on the universal covering, called the volume entropy. If B r (p) denotes the geodesic ball of radius r about p ∈ M̃ and volg(B r (p)) describes its volume with respect to the Riemannian metric g lifted to M̃ then ...
متن کاملEntropy Production in Open Volume–Preserving Systems
We describe a mechanism leading to positive entropy production in volumepreserving systems under nonequilibrium conditions. We consider volumepreserving systems sustaining a diffusion process like the multibaker map or the Lorentz gas. A continuous flux of particles is imposed across the system resulting in a stationary gradient of concentration. In the limit where such flux boundary conditions...
متن کاملEntropy, Free Volume, and Cooperative Relaxation
The high frequency end of the relaxation spectrum for polymer molecules involves the rotation of the segmental bonds. This fast relaxation process, however, cannot take place easily in the condensed state crowded by the densely packed conformers, necessitating the slower cooperatively synchronous relaxation. As the temperature is lowered, the domain of cooperativity grows towards the infinite s...
متن کاملBuildings , extensions , and volume growth entropy
Let F be a non-Archimedean local field and let E be a finite extension of F . Let G be an F -split semisimple F -group. We discuss how to compare volumes on the Bruhat–Tits buildings BE and BF of G(E) and G(F ) respectively.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2019
ISSN: 0264-9381,1361-6382
DOI: 10.1088/1361-6382/aafec7