Stochastic Processes and Applications: Diffusion Processes, the Fokker-Planck and Langevin Equations

· Texts in Applied Mathematics Livro 60 · Springer
E-book
339
Páginas
As notas e avaliações não são verificadas Saiba mais

Sobre este e-book

This book presents various results and techniques from the theory of stochastic processes that are useful in the study of stochastic problems in the natural sciences. The main focus is analytical methods, although numerical methods and statistical inference methodologies for studying diffusion processes are also presented. The goal is the development of techniques that are applicable to a wide variety of stochastic models that appear in physics, chemistry and other natural sciences. Applications such as stochastic resonance, Brownian motion in periodic potentials and Brownian motors are studied and the connection between diffusion processes and time-dependent statistical mechanics is elucidated.

The book contains a large number of illustrations, examples, and exercises. It will be useful for graduate-level courses on stochastic processes for students in applied mathematics, physics and engineering. Many of the topics covered in this book (reversible diffusions, convergence toequilibrium for diffusion processes, inference methods for stochastic differential equations, derivation of the generalized Langevin equation, exit time problems) cannot be easily found in textbook form and will be useful to both researchers and students interested in the applications of stochastic processes.

Sobre o autor

Dr. Grigorios A. Pavliotis is a professor in Applied Mathematics at the Imperial College in London. Dr. Pavliotis's research interests include analysis, numerical, and statistical inference for multiscale stochastic systems, non-equilibrium statistical mechanics, and homogenization theory for PDEs and SDEs.

Avaliar este e-book

Diga o que você achou

Informações de leitura

Smartphones e tablets
Instale o app Google Play Livros para Android e iPad/iPhone. Ele sincroniza automaticamente com sua conta e permite ler on-line ou off-line, o que você preferir.
Laptops e computadores
Você pode ouvir audiolivros comprados no Google Play usando o navegador da Web do seu computador.
eReaders e outros dispositivos
Para ler em dispositivos de e-ink como os e-readers Kobo, é necessário fazer o download e transferir um arquivo para o aparelho. Siga as instruções detalhadas da Central de Ajuda se quiser transferir arquivos para os e-readers compatíveis.