Group-theoretic dimension of stationary symmetric \(\alpha\)-stable random fields

DOI10.1007/S10959-011-0371-6zbMath1297.60029arXiv1105.3818OpenAlexW3101936270MaRDI QIDQ742111

Arijit Chakrabarty, Parthanil Roy

Publication date: 18 September 2014

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3818

zbMATH Keywords

random fieldgroup actionextreme value theorymaximaergodic theorystable process

Mathematics Subject Classification ID

Random fields (60G60) Extreme value theory; extremal stochastic processes (60G70) Stable stochastic processes (60G52) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (6)

Tail measures and regular variation ⋮ Extreme value theory for long-range-dependent stable random fields ⋮ Maxima of stable random fields, nonsingular actions and finitely generated abelian groups: a survey ⋮ Stable random fields, point processes and large deviations ⋮ Stable random fields indexed by finitely generated free groups ⋮ Approximation of supremum of max-stable stationary processes \& Pickands constants

Cites Work

• Ergodic theory, abelian groups and point processes induced by stable random fields
• Ergodic theorems. With a supplement by Antoine Brunel
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• Extreme value theory, ergodic theory and the boundary between short memory and long memory for stationary stable processes.
• On the structure of stationary stable processes
• Stationary symmetric \(\alpha\)-stable discrete parameter random fields
• The many aspects of counting lattice points in polytopes
• Nonsingular group actions and stationary S$\alpha $S random fields
• Maxima of continuous-time stationary stable processes
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