incompatible 发表于 2025-3-21 20:07:42

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STELL 发表于 2025-3-21 22:03:39

Stability Under Random Perturbations,characterizes the stability. Using the results obtained in previous chapters, one can calculate the exit time up to its main term. If a problem of optimal stabilization is considered and the stochastic perturbations are small, one should maximize the main term of the exit time. Results of this type are considered in this chapter.

reserve 发表于 2025-3-22 01:47:02

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Maximize 发表于 2025-3-22 08:21:38

Action Functional,in particular, Gaussian processes and diffusion processes with a constant diffusion matrix are considered as examples. General results concerning logarithmic asymptotics of the large deviation probabilities and the Laplace type asymptotics of expectations are presented in this chapter.

要求比…更好 发表于 2025-3-22 12:00:45

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CIS 发表于 2025-3-22 15:57:22

Small Random Perturbations on a Finite Time Interval,imilar families of stochastic processes with decreasing randomness. These results allow considering the perturbed dynamics on finite time intervals and some asymptotic problems for elliptic and parabolic partial differential equations..The rest of the book is dealing mainly with long-time influence

极少 发表于 2025-3-22 17:48:08

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感激小女 发表于 2025-3-22 23:29:51

Gaussian Perturbations of Dynamical Systems. Neighborhood of an Equilibrium Point,e studied in Chap. 4. We calculate the action functional and introduce an important notion of quasi-potential. Properties of the quasi-potential are studied. One problem considered in this chapter (and in more general case, in Chap. 6) is the exit problem. The logarithmic asymptotics of the exit tim

Dungeon 发表于 2025-3-23 04:01:09

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惹人反感 发表于 2025-3-23 07:03:37

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查看完整版本: Titlebook: Random Perturbations of Dynamical Systems; Mark I. Freidlin,Alexander D. Wentzell Textbook 2012Latest edition Springer-Verlag Berlin Heide