Paper Publications

  1. P. Fatheddin (2024). The law of the iterated logarithm for a linear stochastic Schrodinger equation. Submitted.   Archive:  2407.09300 (arxiv.org)
  2. P. Fatheddin, Hannelore Lisei (2024). Moderate deviations for a stochastic Schrodinger equation with linear drift. To Appear in Stochastics and Dynamics. Archive: 2308.01488 (arxiv.org)                                                                                                                                    (Proud to note that this paper was written by women and had a female editor and a female reviewer) 
  3. P. Fatheddin (2024). Large deviations: a survey on its theory and applications. Proceedings of 2022 AWM Research Symposium. Association of Women in Mathematics Series. Springer. To appear.
  4. P. Fatheddin (2023). The Law of the Iterated Logarithm for Two-Dimensional Stochastic Navier-Stokes Equations. Journal of Evolution Equations Vol. 23, no. 2, Pg. 28. DOI: https://doi.org/10.1007/s00028-023-00877-z
  5. P. Fatheddin, Zhaoyang Qiu (2021). Large deviations for nonlinear stochastic Schrodinger equation. Stochastic Analysis and Applications. DOI: 10.1080/07362994.2020.1805334.
  6. P. Fatheddin (2021). The Law of the Iterated Logarithm for a Class of SPDEs. Stochastic Analysis and Applications. DOI: 10.1080/07362994.2020.1785313.
  7.  P. Fatheddin (2020). Some exit times estimates for super-Brownian motion and Fleming-Viot Process. Journal of Stochastic Analysis. vol. 1, no. 2, 1-23.
  8. P. Fatheddin, Jonathan Gustafsson (2017). Generation of a sequence of correlated phase screens.Optics Communications. vol. 391, 100-105.
  9. P. Fatheddin, Jie Xiong (2016). Moderate deviation principle for a class of stochastic partial differential equations. Journal of Applied Probability. vol. 53, no. 1, 279-292.
  10. P. Fatheddin (2015). Central Limit Theorem for a class of SPDEs. Journal of Applied Probability. vol. 52, no. 3, 786-796.
  11. P. Fatheddin, Jie Xiong (2015). Large Deviation Principle for Some Measure-Valued Processes. Stochastic Processes and Applications. vol. 125, no. 3, 970-993.