Gives an exposition of the principal concepts and results related to second order elliptic and parabolic equations for measures, the main examples of which are Fokker-Planck-Kolmogorov equations for stationary and transition probabilities of diffusi...Loe edasi...
Vladimir I. Bogachev, Nicolai V. Krylov, Michael Rockner, Stanislav V. Shaposhnikov
Sari: Mathematical Surveys and Monographs
(Ilmumisaeg: 01-Oct-2015, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470425586)
Bogachev and his colleagues systematically present the theory of Fokker-Planck-Kolmogorov equations, which are second-order elliptic and parabolic equations for measures. They cover stationary Fokker-Planck-Kolmogorov equations, the existence of solu...Loe edasi...
Peter Imkeller, Samuel Herrmann, Ilya Pavlyukevich, Dierk Peithmann
Sari: Mathematical Surveys and Monographs
(Ilmumisaeg: 31-Jan-2014, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470410490)
The mathematical approach presented here differs from other approaches to stochastic resonance in that noise-induced random transitions in this model happen on time scales given by the exponential of the quotient of barrier height and noise amplifica...Loe edasi...
Applications in modern biotechnology and molecular medicine often require simulation of biomolecular systems in atomic representation with immense length and timescales that are far beyond the capacity of computer power currently available. As a con...Loe edasi...
