Results 241 to 250 of about 120,930 (291)

Constantin Carathéodory axiomatic approach and Grigory Perelman thermodynamics for geometric flows and cosmological solitonic solutions

The European Physical Journal Plus, 2020
We elaborate on statistical thermodynamics models of relativistic geometric flows as generalizations of G. Perelman and R. Hamilton theory centred around C. Carathéodory axiomatic approach to thermodynamics with Pfaffian differential equations.
Iuliana Bubuianu, S. Vacaru
semanticscholar   +1 more source

The Origins of and Possible Futures for Chaïm Perelman and Lucie Olbrechts-Tyteca’s Dissociation of Concepts

Philosophy & Rhetoric, 2020
:This essay tells the story of Perelman and Olbrechts-Tyteca’s “dissociation of concepts,” which they introduced in 1958 and is in use as a tool of criticism by many rhetorical critics.
David A. Frank
semanticscholar   +1 more source

W-Entropy, Super Perelman Ricci Flows, and (K, m)-Ricci Solitons

Journal of Geometric Analysis, 2017
In this paper, we prove a characterization of $$(K, \infty )$$(K,∞)-super Perelman Ricci flows by functional inequalities and gradient estimate for the heat semigroup generated by the Witten Laplacian on manifolds equipped with time-dependent metrics and
Songzi Li, Xiang-Dong Li
semanticscholar   +1 more source

Deriving Perelman’s entropy from Colding’s monotonic volume

Journal für die Reine und Angewandte Mathematik
In his groundbreaking work from 2002, Perelman introduced two fundamental monotonic quantities: the reduced volume and the entropy. While the reduced volume was motivated by the Bishop–Gromov volume comparison applied to a suitably constructed 𝑁-space ...
Ignacio Bustamante, M. Reiris
semanticscholar   +1 more source

Quantum geometric information flows and relativistic generalizations of G. Perelman thermodynamics for nonholonomic Einstein systems with black holes and stationary solitonic hierarchies

Quantum Information Processing, 2019
We investigate classical and quantum geometric information flow theories (GIFs and QGIFs) when the geometric flow evolution and field equations for nonholonomic Einstein systems, NES, are derived from Perelman–Lyapunov-type entropic-type functionals. The
Iuliana Bubuianu, S. Vacaru, E. V. Veliev   +2 more
semanticscholar   +1 more source

Kaluza–Klein gravity and cosmology emerging from G. Perelman’s entropy functionals and quantum geometric information flows

The European Physical Journal Plus, 2019
We elaborate on quantum geometric information flows, QGIFs, and emergent (modified) Einstein–Maxwell and Kaluza–Klein, KK, theories formulated in Lagrange–Hamilton and general covariant variables. There are considered nonholonomic deformations of Grigory
Iuliana Bubuianu, S. Vacaru, E. V. Veliev   +2 more
semanticscholar   +1 more source

Perelman’s $$\lambda $$λ-Functional on Manifolds with Conical Singularities

, 2017
In this paper, we prove that on a compact manifold with isolated conical singularity, the spectrum of the Schrödinger operator $$-4\Delta +R$$-4Δ+R consists of discrete eigenvalues with finite multiplicities, if the scalar curvature R satisfies a certain
X. Dai, Changliang Wang
semanticscholar   +1 more source

A finite-volume, incompressible Navier Stokes model for studies of the ocean on parallel computers

Oceanographic Literature Review, 1997
The numerical implementation of an ocean model based on the incompressible Navier Stokes equations which is designed for studies of the ocean circulation on horizontal scales less than the depth of the ocean right up to global scale is described.
J. Marshall, A. Adcroft, C. Hill, L. Perelman, C. Heisey   +4 more
semanticscholar   +1 more source