Research

Research Interests

• Stable random fields

• Extreme value theory

• Branching random walks 

• Ergodic theory

Publications and Preprints

Submitted Papers

• Mixing properties of stable random fields indexed by amenable and hyperbolic groups (jointly with Mahan Mj and Sourav Sarkar): arXiv:2205.15849

• Group measure space construction, ergodicity and W^* rigidity for stable random fields: arXiv:2007.14821

Published/Accepted Papers

• Branching random walk with infinite progeny mean: a tail of two tails (jointly with Souvik Ray, Rajat Subhra Hazra and Philippe Soulier): Stochastic Processes and their Applications (2023) 160:120-160.

• Stable random fields, Patterson-Sullivan measures and extremal cocycle growth (jointly with Jayadev Athreya and Mahan Mj). Probability Theory and Related Fields (2022) 183:681–714.

• Maximal moments and uniform modulus of continuity for stable random fields (jointly with Snigdha Panigrahi and Yimin Xiao). Stochastic Processes and their Applications (2021) 136:92-124.

• Continued fractions, the Chen-Stein method and extreme value theory (jointly with Anish Ghosh and Maxim Kirsebom). Ergodic Theory and Dynamical Systems (2021) 41(2): 461-470.

• Extremes of multi-type branching random walks: Heaviest tail wins (jointly with Ayan Bhattacharya, Krishanu Maulik and Zbigniew Palmowski). Advances in Applied Probability (2019) 51(2): 514-540.

• A large sample test for the length of memory of stationary symmetric stable random fields via nonsingular Z^d-actions (jointly with Ayan Bhattacharya). Journal of Applied Probability (2018) 55(1): 179-195.

• Stable random fields indexed by finitely generated free groups (jointly with Sourav Sarkar). Annals of Probability (2018) 46(5): 2680-2714.

• Branching random walks, stable point processes and regular variation (jointly with Ayan Bhattacharya and Rajat Subhra Hazra). Stochastic Processes and their Applications (2018) 128(1): 182-210.

• Point process convergence for branching random walks with regularly varying steps (jointly with Ayan Bhattacharya and Rajat Subhra Hazra). Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques (2017) 53(2): 802-818.

• Maxima of stable random fields, nonsingular actions and finitely generated abelian groups: A survey. Indian Journal of Pure and Applied Mathematics. (2017) 48(4): 513-540.

• Stable random fields, point processes and large deviations (jointly with Vicky Fasen). Stochastic Processes and their Applications (2016) 126(3): 832-856.

• Branching random walk with step size coming from a power law (jointly with Ayan Bhattacharya and Rajat Subhra Hazra): Journal of Physics: Conference Series (2015) 638: 012006.

• Ergodic properties of sum and max-stable stationary random fields via null and positive group actions (jointly with Yizao Wang and Stilian A. Stoev). Annals of Probability (2013) 41(1): 206-228.

• Group theoretic dimension of stationary symmetric α-stable random fields (jointly with Arijit Chakrabarty). Journal of Theoretical Probability (2013) 26(1): 240-258.

• Decomposability for stable processes (jointly with Yizao Wang and Stilian A. Stoev). Stochastic Processes and their Applications (2012) 122(3): 1093-1109.

• Parameter estimation for exponentially tempered power law distributions (jointly with Mark M. Meerschaert and Qin Shao). Communications in Statistics - Theory and Methods (2012) 41(10): 1839-1856.

• Nonsingular group actions and stationary SαS random fields. Proceedings of the American Mathematical Society (2010) 138(6): 2195-2202.

• Ergodic theory, Abelian groups and point processes induced by stable random fields. Annals of Probability (2010) 38(2): 770-793.

• Multivariate extremes of generalized skew-normal distributions (jointly with Natalia Lysenko and Rolf Waeber). Statistics and Probability Letters (2009) 79(4): 525-533. 

• Stationary symmetric α-stable discrete parameter random fields (jointly with Gennady Samorodnitsky). Journal of Theoretical Probability (2008) 21: 212–233.

Book Review

• Book review of “Introductory Lectures on Fluctuations of Lévy Processes with Applications” written by Andreas B. Kyprianou. Journal of the American Statistical Association (2009) 104(488): 1719.

Technical Report

• Maharam extension for nonsingular group actions (jointly with Gennady Samorodnitsky). Cornell ORIE Technical Report TR001453 (2006).