Almost Sure Exponential Stability of Neutral Differential Difference Equations. . .
: In this paper we shall discuss the almost sure exponential stability for a neutral differential difference equation with damped stochastic perturbations of the form d[x(t) \Gamma G(x(t \Gamma ø ))] = f(t; x(t); x(t \Gamma ø ))dt + oe(t)dw(t): Several ...
Xiao Xin Liao, Xuerong Mao
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Constructing quantum measurement processes via classical stochastic calculus
A class of linear stochastic differential equations in Hilbert spaces is studied, which allows to construct probability densities and to generate changes in the probability measure one started with.
Barchielli, A., Holevo, A. S.
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Convergence Rate of Euler-Maruyama Scheme to the Invariant Probability Measure Under Total Variation Distance for the SDEs. [PDF]
Wang Y, Ye Y.
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Quenching for Microalgal Metabolomics: A Case Study on the Unicellular Eukaryotic Green Alga Chlamydomonas reinhardtii. [PDF]
Kapoore RV, Vaidyanathan S.
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Optimal stopping in Hilbert spaces and pricing of American options
We consider an optimal stopping problem for a Hilbert-space valued diffusion. We prove that the value function of the problem is the unique viscosity solution of an obstacle problem for the associated parabolic partial differential equation in the ...
Dariusz Gatarek, Andrzej Swiech
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Lower error bounds and optimality of approximation for jump-diffusion SDEs with discontinuous drift. [PDF]
Przybyłowicz P +2 more
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L p -Solutions and Comparison Results for Lévy-Driven Backward Stochastic Differential Equations in a Monotonic, General Growth Setting. [PDF]
Kremsner S, Steinicke A.
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Approximations for stochastic differential equations with reflecting convex boundaries
We consider convergence of a recursive projection scheme for a stochastic differential equation reflecting on the boundary of a convex domain G. If G satisfies Condition (B) in Tanaka (1979), we obtain mean square convergence, pointwise, with the rate O((
Pettersson, Roger
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Numerical Analysis of BIMs for Stochastic SIR and SIS Models with Variable Contact Diffusion Rates. [PDF]
Schurz H, Tosun K.
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