What are Lie derivatives and their applications?

We deal with pointwise approximation of solutions of scalar stochastic differential equations in the presence of informational noise about underlying drift ... ... differential entropy of these time series as a natural representation of such information. ... Using Equation (15), derivative of H with respect to μX is: ∂H∂μX=1 ... Feb 9, 2022 ... A first-order differential equation model for neuronal activity. We consider a single state brain region, that is, a region whose activity is ... Mar 10, 2022 ... Stochastic differential equation (SDE)-based models have been ... Informational analysis of Langevin equation of friction in earthquake rupture ... May 26, 2022 ... Uniqueness of the Solution to a Difference-Partial Differential Equation for Finance. C. Mancini, Mathematical Models and Methods in Applied ... Jul 1, 2020 ... Examples of such problems include multivariate integration or approximation, solution of ordinary or partial differential equations, integral ... Crossing solutions to Schrödinger's equation produce these wave functions, a treasure trove of information as to how a particle will behave, and even allow ... Dec 17, 2019 ... In this paper we consider a generalized setting where the channel is modelled via stochastic differential equations driven by fractional Brownian motion. Besides a series of colloquium lectures, there are also weekly research seminars in algebra, differential equations, geometry, mathematical physics, operator ... Aug 14, 2019 ... We write differential equations for all of its moving parts (physical particles), we give them initial and boundary conditions, and then we ...