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math.DS2018★ 1 cited
Stable Random Fields, Patterson-Sullivan measures and Extremal Cocycle Growth
Jayadev Athreya, Mahan Mj, Parthanil Roy
We study extreme values of group-indexed stable random fields for discrete groups acting geometrically on spaces in the following cases: 1) acts freely, properly discon…
math.DS2006
Maharam Extension for Nonsingular Group Actions
Parthanil Roy, Gennady Samorodnitsky
We establish a generalization of the Maharam Extension Theorem to nonsingular group actions. We also present an extension of Krengel Representation Theorem of dissipative transform…