Strong Law of Large Numbers for Solutions of Non-Autonomous Stochastic Differential Equations
Background. Asymptotic behavior at infinity of non-autonomous stochastic differential equation solutions is studied in the paper. Objective. The aim of the work is to find sufficient conditions for the strong law of large numbers for a random process ...
Oleg I. Klesov +2 more
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Efficient Memristive Stochastic Differential Equation Solver
Herein, an efficient numerical solver for stochastic differential equations based on memristors is presented. The solver utilizes the stochastic switching effect in memristive devices to simulate the generation of a Brownian path and employs iterative ...
Xuening Dong +4 more
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Probabilistic Representations of Solutions of the Forward Equations [PDF]
In this paper we prove a stochastic representation for solutions of the evolution equation $ \partial_t \psi_t = {1/2}L^*\psi_t $ where $ L^* $ is the formal adjoint of an elliptic second order differential operator with smooth coefficients corresponding
Rajeev, B., Thangavelu, S.
core +2 more sources
Stochastic model of innovation diffusion that takes into account the changes in the total market volume [PDF]
The article proposes a stochastic mathematical model of the diffusion of consumer innovations, which takes into account changes over time in the total number of potential buyers of an innovative product.
Parphenova, Alena Yu., Saraev, Leonid A.
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L2-convergence of Yosida approximation for semi-linear backward stochastic differential equation with jumps in infinite dimension [PDF]
Purpose – The main motivation of this paper is to present the Yosida approximation of a semi-linear backward stochastic differential equation in infinite dimension. Under suitable assumption and condition, an L2-convergence rate is established.
Hani Abidi +3 more
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Large deviations for stochastic Kuramoto–Sivashinsky equation with multiplicative noise
The Kuramoto–Sivashinsky equation is a nonlinear parabolic partial differential equation, which describes the instability and turbulence of waves in chemical reactions and laminar flames. The aim of this work is to prove the large deviation principle for
Gregory Amali Paul Rose +2 more
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A kind of non-zero sum mixed differential game of backward stochastic differential equation
This paper is concerned with a non-zero sum mixed differential game problem described by a backward stochastic differential equation. Here the term “mixed” means that this game problem contains a deterministic control v1 $v_{1}$ of Player 1 and a random ...
Huanjun Zhang
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Identification and estimation of continuous time dynamic systems with exogenous variables using panel data [PDF]
This paper deals with the identification and maximum likelihood estimation of the parameters of a stochastic differential equation from discrete time sampling. Score function and maximum likelihood equations are derived explicitly.
Hamerle, Alfred +2 more
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Stochastic simulations commonly require random process generation with a predefined probability density function (PDF) and an exponential autocorrelation function (ACF).
D. Bykhovsky
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Backward stochastic differential equation solver was first introduced by Han et al in 2017. A semilinear parabolic partial differential equation is converted into a stochastic differential equation, and then solved by the backward stochastic differential
Evan Davis +4 more
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