Shift–Coupling and Maximality

DOI10.1007/978-981-15-5951-8_1zbMath1473.60083OpenAlexW3082717263MaRDI QIDQ5012183

Hermann Thorisson

Publication date: 31 August 2021

Published in: Infosys Science Foundation Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-5951-8_1

zbMATH Keywords

total variationinvariant setscouplingshift-couplingCesaro asymptotics

Mathematics Subject Classification ID

Random fields (60G60) Geometric probability and stochastic geometry (60D05) Random measures (60G57) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

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• Transforming random elements and shifting random fields
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• Gravitational allocation to Poisson points
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• A refinement of the coupling method in renewal theory
• Shift-coupling
• Shift-coupling in continuous time
• Transporting random measures on the line and embedding excursions into Brownian motion
• Point-stationarity in \(d\) dimensions and Palm theory
• Unbiased shifts of Brownian motion
• Extra heads and invariant allocations
• The Slepian zero set, and Brownian bridge embedded in Brownian motion by a spacetime shift
• On Coupling of continuous-time renewal processes
• Uniform rates of convergence for Markov chain transition probabilities
• Maximal coupling

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