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20122024
most citedLarge Deviation Principle for Some Measure-Valued Processes

3 citations · 7 across the 10 of their papers we have counts for

collaborators

10 papers

math.AP2024

The Law of Iterated Logarithm for a Linear Stochastic Schrodinger Equation

Parisa Fatheddin

The moderate deviation principle is achieved for a stochastic Schrodinger type equation by applying the classical Azencott method. The Friedlin-Wentzell inequality derived by this…

math.PR2023

Moderate Deviations for a Stochastic Schrödinger Equation with Linear Drift

Parisa Fatheddin, Hannelore Lisei

Moderate deviation principle is achieved by the weak convergence approach for a stochastic Schrödinger type equation with linear drift term and noise driven by a -Wiener process…

math.PR2020

The Law of the Iterated Logarithm for Two-Dimensional Stochastic Navier-Stokes Equations

Parisa Fatheddin

Here we implement the Azencott method to prove the moderate deviation principle for the two-dimensional incompressible stochastic Navier-Stokes equations in a bounded domain. As ap…

math.AP2019

Large Deviations for Nonlinear Stochastic Schrodinger Equation

Parisa Fatheddin, Zhaoyang Qiu

Large deviation principle by the weak convergence approach is established for the stochastic nonlinear Schrodinger equation in one-dimension and as an application the exit problem…

math.AP2019

Strong pathwise solution and large deviation principle for the stochastic Boussinesq equations with partial diffusion term

Zhaoyang Qiu, Yanbin Tang

We establish the existence and uniqueness of local strong pathwise solutions to the stochastic Boussinesq equations with partial diffusion term forced by multiplicative noise on th…

math.PR2018

Some exit times estimates for Super-Brownian motion and Fleming-Viot Process

Parisa Fatheddin

Estimates for exit time from an interval of length 2r before a prescribed time T are derived for solutions of a class of stochastic partial differential equations used to character…

math.PR2017★ 2 cited

The Law of the Iterated Logarithm for a Class of SPDEs

Parisa Fatheddin

After establishing the moderate deviation principle by the Classical Azencott method, we prove the Strassen's compact law of the iterated logarithm (LIL) for a class of stochastic…

math.PR2014★ 2 cited

Moderate Deviation Principle for a Class of SPDEs

Parisa Fatheddin, Jie Xiong

We establish the moderate deviation principle for the solutions of a class of stochastic partial differential equations with non-Lipschitz continuous coefficients. As an applicatio…

math.PR2014

Central Limit Theorem for a Class of SPDEs

Parisa Fatheddin

Here we establish the central limit theorem for a class of stochastic partial differential equations (SPDEs) and as an application derive this theorem for two widely studied popula…

math.PR2012★ 3 cited

Large Deviation Principle for Some Measure-Valued Processes

Parisa Fatheddin, Jie Xiong

We establish a large deviation principle for the solutions of a class of stochastic partial differential equations with non-Lipschitz continuous coefficients. As an application, th…