Kniha Semiclassical Analysis for Diffusions and Stochastic Processes Vassili N. Kolokoltsov

Semiclassical Analysis for Diffusions and Stochastic Processes

Jazyk: Angličtina
Vazba: Brožovaná
Vydavatel: Springer, Berlin
Dostupnost: Skladem u dodavatele v malém množství
Odesíláme za 13-18 dnů
1 311
The monograph is devoted mainly to the analytical study of the differential, pseudo-differential and...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2000
Stránek
356
EAN
9783540669722
ISBN
3540669728
Enbook ID
01567218
Vydavatel
Hmotnost
572
Rozměry
156 x 234 x 19

Kompletní popis

The monograph is devoted mainly to the analytical study of the differential, pseudo-differential and stochastic evolution equations describing the transition probabilities of various Markov processes. These include (i) diffusions (in particular,degenerate diffusions), (ii) more general jump-diffusions, especially stable jump-diffusions driven by stable Lévy processes, (iii) complex stochastic Schrödinger equations which correspond to models of quantum open systems. The main results of the book concern the existence, two-sided estimates, path integral representation, and small time and semiclassical asymptotics for the Green functions (or fundamental solutions) of these equations, which represent the transition probability densities of the corresponding random process. The boundary value problem for Hamiltonian systems and some spectral asymptotics ar also discussed. Readers should havean elementary knowledge of probability, complex and functional analysis, and calculus.

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