Titlebook: Stochastic Differential and Difference Equations; Imre Csiszár,György Michaletzky Conference proceedings 1997 Birkhäuser Boston 1997 Mathe

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On the Kinematics of Stochastic Mechanics, Lagrangian and Hamiltonian formalism in stochastic mechanics [N1], [G], [N2]. In this paper, the kinematics employed in [P1]-[P3] is more thoroughly analyzed, particularly from the probabilistic viewpoint. The outline of the paper is as follows. In Section 2, we introduce the appropriate kinematics

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Overview: 978-1-4612-7365-3978-1-4612-1980-4

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https://doi.org/10.1007/978-1-4612-1980-4Mathematics; Parameter; Peak; Stochastic Differential; difference equation; equation; partial differential

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Invariant Measure for a Wave Equation on a Riemannian Manifold,We consider a wave equation on a compact Riemannian manifold in the Hamiltonian form. The measure obtained as the product of Wiener measure on path space and the one of the (flat) white noise is infinitesimally invariant under the action of the corresponding flow.

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On Stationarity of Additive Bilinear State-space Representation of Time Series,In this paper necessary and sufficient conditions are proved for the existence of strictly and weakly stationary solution of additive bilinear state-space stochastic systems.

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