Results 1 to 10 of about 274,651 (285)
European Physical Journal C: Particles and Fields, 2021 We develop an approach to the theory of relativistic geometric flows and emergent gravity defined by entropy functionals and related statistical thermodynamics models. Nonholonomic deformations of G.
Sergiu I. Vacaru +2 more
doaj +2 more sources
Local Geometric Invariants of Integrable Evolution Equations [PDF]
Journal of Mathematical Physics, 1994 The integrable hierarchy of commuting vector fields for the localized induction equation of 3D hydrodynamics, and its associated recursion operator, are used to generate families of integrable evolution equations which preserve local geometric invariants
Belinskii V. A. +4 more
core +4 more sources
European Physical Journal C: Particles and Fields, 2020 This work consists an introduction to the classical and quantum information theory of geometric flows of (relativistic) Lagrange–Hamilton mechanical systems.
Sergiu I. Vacaru
doaj +3 more sources
The Einstein Equations of Evolution - A Geometric Approach [PDF]
Journal of Mathematical Physics, 1972 In this paper the exterior Einstein equations are explored from a differential geometric point of view. Using methods of global analysis and infinite-dimensional geometry, we answer sharply the question: "In what sense are the Einstein equations, written
Fischer, A. E., Marsden, Jerrold E.
core +6 more sources
Evolution equations of curvature tensors along the hyperbolic geometric flow [PDF]
Chinese Annals of Mathematics, Series B, 2012 We consider the hyperbolic geometric flow $\frac{\partial^2}{\partial t^2}g(t)=-2Ric_{g(t)}$ introduced by Kong and Liu [KL]. When the Riemannian metric evolve, then so does its curvature.
A Milgram +24 more
core +3 more sources
Underlying Geometric Flow in Hamiltonian Evolution [PDF]
EntropyIn this paper, an underlying perturbed Ricci flow construction is made within the metric operator space, originating from the Heisenberg dynamical equations, to formulate a method which appears to provide a new geometric approach for the geometric ...
Gil Elgressy, Lawrence Horwitz
doaj +2 more sources
Geometric Operator Quantum Speed Limit, Wegner Hamiltonian Flow and Operator Growth [PDF]
Quantum, 2023 Quantum speed limits (QSLs) provide lower bounds on the minimum time required for a process to unfold by using a distance between quantum states and identifying the speed of evolution or an upper bound to it.
Niklas Hörnedal +3 more
doaj +1 more source
Controlled Discrete-Time Semi-Markov Random Evolutions and Their Applications
Mathematics, 2021 In this paper, we introduced controlled discrete-time semi-Markov random evolutions. These processes are random evolutions of discrete-time semi-Markov processes where we consider a control. applied to the values of random evolution.
Anatoliy Swishchuk, Nikolaos Limnios
doaj +1 more source
Flow, Wind, and Stochastic Connectivity Modeling Infectious Diseases
Complexity, 2021 We study in this paper the trends of the evolution of different infections using a SIR flow (first-order ODE system), completed by a differential inclusion, a geodesic motion in a gyroscopic field of forces, and a stochastic SIR perturbation of the flow (
C. Udriste, I. Tevy, A. S. Rasheed
doaj +1 more source
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations [PDF]
Journal of Computational Physics, 2021 We propose and analyze volume-preserving parametric finite element methods for surface diffusion, conserved mean curvature flow and an intermediate evolution law in an axisymmetric setting. The weak formulations are presented in terms of the generating curves of the axisymmetric surfaces.
Weizhu Bao +3 more
openaire +3 more sources