表否定 发表于 2025-3-25 05:57:30

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悬挂 发表于 2025-3-25 07:50:32

Markov Processes on Infinite Dimensional Spaces, Markov Fields and Markov Cosurfacesruction of homogeneous generalized Markov random fields. We also discuss a non commutative extension to the case where the state space is a group. The extension involves a stochastic calculus for group valued mappings defined on hypersurfaces of codimension 1.

带来墨水 发表于 2025-3-25 11:50:45

Stochastic Integration of Banach Space Valued Functionsation theory is the L.-isometry between the space of square integrable predictable functions X (relative to the Doléans measure of M.) and the space of the stochastic integrals ∫XdM. This result extends without major difficulties to the case that M is Hilbert space valued and X belongs to a suitable space of operator-valued predictable functions.

模范 发表于 2025-3-25 16:14:05

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内阁 发表于 2025-3-25 21:47:07

A Central Limit Theorem for a System of Interacting Particles denote by X(j,t) the number of particles at site j at time t, let ρ be its expectation. The corresponding . are the S’-valued processes N., defined by . (S’: space of Schwartz distributions on R., S: space of rapidly decaying smooth functions).

cloture 发表于 2025-3-26 00:08:50

On the Semigroup Approach to Stochastic Evolution EquationsThis paper deals with properties of mild solutions of stochastic partial differential equations (with and without delays). Both the case of a fixed Hilbert state space and the case of a nuclear Gel’ fand triple as state space are analyzed. Examples of parabolic and hyperbolic equations are given.

和音 发表于 2025-3-26 05:10:56

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作茧自缚 发表于 2025-3-26 12:08:25

Tightness Of Sequences Of Hilbert Valued MartingalesThis paper gives a sufficient condition for the tightness of a sequence (M.). of Hubert valued martingales. This result applies directly to some situations of “accompanying martingales” as considered for example by L. Arnold, M. Theodosopulu and P. Kotelenez.

Wordlist 发表于 2025-3-26 13:31:59

Asymptotic Analysis of a Semi-Linear PDE with Wide-Band Noise DisturbancesWe present an asymptotic analysis in the “white-noise limit” of a semi-linear parabolic partial differential equation, whose coefficients are perturbed by a wide-band noise. We prove the convergence in law towards the solution of an Ito stochastic PDE, thus generalizing the results in for linear PDEs.

项目 发表于 2025-3-26 19:39:57

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查看完整版本: Titlebook: Stochastic Space—Time Models and Limit Theorems; L. Arnold,P. Kotelenez Book 1985 D. Reidel Publishing Company, Dordrecht, Holland 1985 Ma