32 citations · 58 across the 17 of their papers we have counts for
19 papers · 1 filter
Mixing Properties of Stable Random Fields Indexed by Amenable and Hyperbolic Groups
Mahan Mj, Parthanil Roy, Sourav Sarkar
We show that any stationary symmteric -stable () random field indexed by a countable amenable group is weakly mixing if and only if it is generated by a null action, ex…
Group measure space construction, ergodicity and -rigidity for stable random fields
Parthanil Roy
This work discovers a novel link between probability theory (of stable random fields) and von Neumann algebras. It is established that the group measure space construction correspo…
Branching random walk with infinite progeny mean: a tale of two tails
Souvik Ray, Rajat Subhra Hazra, Parthanil Roy +1
We study the extremes of branching random walks under the assumption that the underlying Galton-Watson tree has infinite progeny mean. It is assumed that the displacements are eith…
Continued fractions, the Chen-Stein method and extreme value theory
Anish Ghosh, Maxim Kirsebom, Parthanil Roy
In this work, we deal with extreme value theory in the context of continued fractions using techniques from probability theory, ergodic theory and real analysis. We give an upper b…
Maximal Moments and Uniform Modulus of Continuity for Stable Random Fields
Snigdha Panigrahi, Parthanil Roy, Yimin Xiao
In this work, we solve an open problem mentioned in Xiao (2010) and provide sharp bounds on the rate of growth of maximal moments for stationary symmetric stable random fields usin…
Maxima of stable random fields, nonsingular actions and finitely generated abelian groups: A survey
Parthanil Roy
This is a self-contained introduction to the applications of ergodic theory of nonsingular (also known as quasi-invariant) group actions and the structure theorem for finitely gene…