Invariant random graphs with iid degrees in a general geography

DOI10.1007/s00440-008-0160-zzbMath1170.05055OpenAlexW2137494627MaRDI QIDQ1017891

Johan Jonasson

Publication date: 13 May 2009

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-008-0160-z

zbMATH Keywords

automorphismgrowth raterandom graphdegree distribution

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Random graphs (graph-theoretic aspects) (05C80) Stationary stochastic processes (60G10) Special processes (60K99) Vertex degrees (05C07) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (1)

Percolation in invariant Poisson graphs with i.i.d. degrees

Cites Work

• A stable marriage of Poisson and Lebesgue
• Random walks on discrete groups: Boundary and entropy
• A survey on graphs with polynomial growth
• Group-invariant percolation on graphs
• Stationary random graphs on \(\mathbb Z\) with prescribed iid degrees and finite mean connections
• Generating stationary random graphs on ℤ with prescribed independent, identically distributed degrees
• Convergence Rates in the Law of Large Numbers
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