Monotonicity of conditional distributions and growth models on trees.

DOI10.1214/aop/1019160501zbMath1044.60094OpenAlexW1502021667MaRDI QIDQ1872162

Thomas M. Liggett

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1214/aop/1019160501

zbMATH Keywords

critical exponentscritical valuescouplingCatalan numberscontact processstochastic monotonicitygrowth models on trees

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (4)

Critical exponents for a reversible nearest particle system on the binary tree. ⋮ Stochastic monotonicity of dependent variables given their sum ⋮ Convex order and comonotonic conditional mean risk sharing ⋮ Efron's monotonicity property for measures on \(\mathbb{R}^2\)

Cites Work

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• q-Catalan numbers
• Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions
• Catalan numbers, their generalization, and their uses
• Interaction of Markov processes
• A reversible nearest particle system on the homogeneous tree
• Negative association of random variables, with applications
• Critical exponents for a reversible nearest particle system on the binary tree.
• Towards a theory of negative dependence
• Increasing Properties of Polya Frequency Function

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