scientific article; zbMATH DE number 6296947

zbMath1326.60082MaRDI QIDQ5416320

Elisa Mastrogiacomo, Luca Di Persio, Sergio A. Albeverio

Publication date: 19 May 2014

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

invariant measuresdissipative systemsinfinite-dimensional stochastic differential equationsstochastic FitzHugh-Nagumo systemsneurobiological networks

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Neural biology (92C20) Optimal stochastic control (93E20) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Volterra integral equations (45D05)

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A class of Lévy driven SDEs and their explicit invariant measures ⋮ Gaussian estimates on networks with dynamic stochastic boundary conditions ⋮ Small noise asymptotic expansions for stochastic PDE's driven by dissipative nonlinearity and Lévy noise ⋮ A Functional Analytic Approach to Infinite Dimensional Stochastic Linear Systems ⋮ Asymptotic expansions for SDE's with small multiplicative noise ⋮ Small noise asymptotic expansions for stochastic PDE's. I: The case of a dissipative polynomially bounded non linearity

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