11 citations · 24 across the 3 of their papers we have counts for
6 papers
Reliability of signal transmission in stochastic nerve axon equations
Martin Sauer, Wilhelm Stannat
We introduce a method for computing probabilities for spontaneous activity and propagation fail- ure of the action potential in spatially extended, conductance-based neuronal model…
Analysis and Approximation of Stochastic Nerve Axon Equations
Martin Sauer, Wilhelm Stannat
We consider spatially extended conductance based neuronal models with noise described by a stochastic reaction diffusion equation with additive noise coupled to a control variable…
Kolmogorov Equations for Randomly Perturbed Generalized Newtonian Fluids
Martin Sauer
We consider incompressible generalized Newtonian fluids in two space dimensions perturbed by an additive Gaussian noise. The velocity field of such a fluid obeys a stochastic parti…
-Uniqueness of Kolmogorov Operators Associated to 2D Stochastic Navier-Stokes Coriolis Equations with Space-Time White Noise
Martin Sauer
We consider the Kolmogorov operator associated to a stochastic Navier-Stokes equation driven by space-time white noise on the two-dimensional torus with periodic boundary condi…
Lattice Approximation for Stochastic Reaction Diffusion Equations with One-Sided Lipschitz Condition
Martin Sauer, Wilhelm Stannat
We consider strong convergence of the finite differences approximation in space for stochastic reaction diffusion equations with multiplicative noise under a one-sided Lipschitz co…
Fluctuations in an Evolutional Model of Two-Dimensional Young Diagrams
Tadahisa Funaki, Makiko Sasada, Martin Sauer +1
We discuss the non-equilibrium fluctuation problem, which corresponds to the hydrodynamic limit established in \cite{FS}, for the dynamics of two-dimensional Young diagrams associa…