activity
20092019
most citedPropagation of Chaos for Stochastic Spatially Structured Neuronal Networks with Delay driven by Jump Diffusions

51 citations · 56 across the 5 of their papers we have counts for

collaborators
Showing math.PRShow all

8 papers · 1 filter

math.PR2019

Discretizations of Stochastic Evolution Equations in Variational Approach Driven by Jump-Diffusion

Sima Mehri, Erfan Salavati, Bijan Z. Zangeneh

Stochastic evolution equations with compensated Poisson noise are considered in the variational approach with monotone and coercive coefficients. Here the Poisson noise is assumed…

math.PR2018★ 51 cited

Propagation of Chaos for Stochastic Spatially Structured Neuronal Networks with Delay driven by Jump Diffusions

Sima Mehri, Michael Scheutzow, Wilhelm Stannat +1

Spatially structured neural networks driven by jump diffusion noise with monotone coefficients, fully path dependent delay and with a disorder parameter are considered. Well-posedn…

math.PR2016

Well-posedness for Stochastic Evolution Equations with Monotone Non-linearity and Multiplicative Poisson Noise in

Erfan Salavati, Bijan Z. Zangeneh

Semilinear stochastic evolution equations with Lévy noise and monotone nonlinear drift are considered. The existence and uniqueness of the mild solutions in for these equatio…

math.PR2015

A Maximal Inequality for th Power of Stochastic Convolution Integrals

Erfan Salavati, Bijan Z. Zangeneh

An inequality for the th power of the norm of a stochastic convolution integral in a Hilbert space is proved. The inequality is stronger than analogues inequalities in the Liter…

math.PR2014★ 1 cited

Continuous Dependence on Coefficients for Stochastic Evolution Equations with Multiplicative Lévy Noise and Monotone Nonlinearity

Erfan Salavati, Bijan Z. Zangeneh

Semilinear stochastic evolution equations with multiplicative Lévy noise and monotone nonlinear drift are considered. Unlike other similar works, we do not impose coercivity condit…

math.PR2014★ 1 cited

Stochastic Evolution Equations with Multiplicative Poisson Noise and Monotone Nonlinearity: A New Approach

Erfan Salavati, Bijan Z. Zangeneh

Semilinear stochastic evolution equations with multiplicative Poisson noise and monotone nonlinear drift are considered. We do not impose coercivity conditions on coefficients. A n…

math.PR2013★ 3 cited

Semilinear Stochastic Evolution Equations with Lévy Noise and Monotone Nonlinearity

Erfan Salavati, Bijan Z. Zangeneh

Semilinear stochastic evolution equations with multiplicative Lévy noise and monotone nonlinear drift are considered. Unlike other similar work we do not impose coercivity conditio…

math.PR2009

Large Deviation Principle for Semilinear Stochastic Evolution Equations with Monotone Nonlinearity and Multiplicative Noise

Hassan Dadashi-Arani, Bijan Z. Zangeneh

We demonstrate the large deviation property for the mild solutions of stochastic evolution equations with monotone nonlinearity and multiplica- tive noise. This is achieved using t…