Characterization of Palm measures via bijective point-shifts

DOI10.1214/009117905000000224zbMath1111.60029OpenAlexW2027390783WikidataQ114060569 ScholiaQ114060569MaRDI QIDQ2571692

Günter Last, Matthias Heveling

Publication date: 14 November 2005

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/009117905000000224

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items

Open problems in renewal, coupling and palm theory ⋮ A full characterization of invariant embeddability of unimodular planar graphs ⋮ Tail processes and tail measures: an approach via Palm calculus ⋮ Palm theory for extremes of stationary regularly varying time series and random fields ⋮ Descending chains, the lilypond model, and mutual-nearest-neighbour matching ⋮ Stationary partitions and Palm probabilities ⋮ Point-shift foliation of a point process ⋮ The Palm-duality for random subsets of d-dimensional grids ⋮ Invariant embeddings of unimodular random planar graphs ⋮ A phase transition for competition interfaces ⋮ Construction and characterization of stationary and mass-stationary random measures on \(\mathbb{R}^d\) ⋮ Invariant transports of stationary random measures and mass-stationarity ⋮ Renewal processes, population dynamics, and unimodular trees ⋮ Eternal Family Trees and dynamics on unimodular random graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Self-similar random measures. I: Notion, carrying Hausdorff dimension, and hyperbolic distribution
• An introduction to the theory of point processes
• Poisson trees, succession lines and coalescing random walks
• Trees and matchings from point processes
• Tree and grid factors for general point processes
• Invarianzeigens chaften allgemeiner PALMscher Maße
• Some Properties of Stationary Flows of Homogeneous Random Events
• [https://portal.mardi4nfdi.de/wiki/Publication:5549427 Station�re zuf�llige Ma�e auf lokalkompakten Abelschen Gruppen]
• Transformations of stationary random sequences