3 citations · 10 across the 8 of their papers we have counts for
10 papers
On a Class of Non-linear Differential Equations Arising from Branching Diffusions
Erfan Salavati
A non-linear differential equation arising from a stochastic process known as branching Brownian motion is considered. We find an explicit solution and show the uniqueness of the s…
An Extension of the Cardioid Distributions on Circle
Erfan Salavati
A new family of distributions on the circle is introduced which are a generalization of the Cardioid distributions. The elementary properties such as mean, variance and the charact…
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…
Local Coupling Property for Markov Processes with Applications to Lévy Processes
Kasra Alishahi, Erfan Salavati
In this article, we define the new concept of local coupling property for Markov processes and study its relationship with distributional properties of the transition probability.…
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…
A Sufficient Condition for Absolute Continuity of Infinitely Divisible Distributions
Kasra Alishahi, Erfan Salavati
We consider infinitely divisible distributions with symmetric Lévy measure and study the absolute continuity of them with respect to the Lebesgue measure. We prove that if $η(r)=\i…
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…
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…
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…
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…