I work in Probability Theory, more specifically in Stochastic Partial Differential Equations and Interacting Particle Systems.
Contact information:
Stat Math Unit
Indian Statistical Institute
8th Mile Mysore Road, RVCE Post, Bengaluru 560059.
Email: m.joseph [AT] isibang [DOT] ac [DOT] in
Office Phone: + 91-80-26985-478
Research
Below is a list of my publications and preprints. You can also check my Google Scholar page . The links on the publication titles are to the arxiv version while the links on the journals are to the journal version
The ergodic theory of SPDEs in a weak-noise regime (with Davar Khoshnevisan, Kunwoo Kim and Carl Mueller)
Survival of a long random string among hard Poisson traps (with Siva Athreya and Carl Mueller)
Blowup for the multiplicative stochastic heat equation with superlinear drift (with Shubham Ovhal)
Instantaneous blowup for interacting SDEs with superlinear drift (with Shubham Ovhal). Electronic Journal of Probability (2026)
Sausage volume of the random string and survival in a medium of Poisson traps (with Siva Athreya and Carl Mueller). To appear in Ann.Inst. H.Poincare Prob. Stat.
Small ball probabilities for the stochastic heat equation. Probability and Stochastic Processes (a volume in honour of Rajeeva Karandikar) (2024)
Longest increasing path within the critical strip (with Partha Dey and Ron Peled). Israel Journal of Mathematics (2023)
Small ball probability estimates for the Holder semi-norm of the stochastic heat equation (with Mohammud Foondun and Kunwoo Kim). Probability Theory and Related Fields (2022)
Small ball probabilites and a support theorem for the stochastic heat equation (with Siva Athreya and Carl Mueller). Annals of Probability (2021)
Independent particles in a dynamical random environment (with Firas Rassoul-Agha and Timo Seppalainen). Probability and analysis in interacting physical systems, Springer proceedings in mathematics and statistics 283 (2019)
An invariance principle for the stochastic heat equation. Stochastics and Partial Differential Equations: Analysis and Computations (2018)
An approximation result for a class of stochastic heat equations with colored noise (with Mohammud Foondun and Shiu-Tang Li). Annals of Applied Probability (2018)
Strong invariance and noise comparison principles for some parabolic stochastic PDEs (with Davar Khoshnevisan and Carl Mueller). Annals of Probability (2017)
Semi-discrete semi-linear parabolic SPDEs (with Nicos Georgiou, Davar Khoshnevisan and Shang-Yuan Shiu). Annals of Applied Probability (2015)
Remarks on non-linear excitability of some stochastic heat equations (with Mohammud Foondun). Stochastic Processes and their applications (2014)
Initial measures for the stochastic heat equation (with Daniel Conus, Davar Khoshnevisan and Shang-Yuan Shiu). Ann. Inst. H. Poincare Probab. Statist (2014)
Intermittency and chaos for a stochastic non-linear wave equation in dimension 1 (with Daniel Conus, Davar Khoshnevisan and Shang-Yuan Shiu) Malliavin Calculus and Stochastic Analysis (2013)
On the chaotic character of the stochastic heat equation- II (with Daniel Conus, Davar Khoshnevisan and Shang-Yuan Shiu) Probability Theory and Related Fields (2013)
On the chaotic character of the stochastic heat equation, before the onset of intermittency (with Daniel Conus and Davar Khoshnevisan) Annals of Probability (2013)
Correlation length bounds, and estimates for intermittent islands in parabolic SPDEs (with Daniel Conus and Davar Khoshnevisan) Electronic Journal of Probability (2012)
Almost sure invariance principle for continuous -space random walk in a dynamic random environment (with Firas Rassoul-Agha) ALEA (2011)
Fluctuations of the quenched mean of a planar random walk in an i.i.d. random environment with forbidden direction. Electronic Journal of Probability (2009)
Curriculum Vitae:
cv.pdf