Critical point for infinite cycles in a random loop model on trees

DOI10.1214/18-AAP1442zbMath1467.60078arXiv1805.11772WikidataQ127458959 ScholiaQ127458959MaRDI QIDQ2330455

Alan Hammond, Milind Hegde

Publication date: 22 October 2019

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

Full work available at URL: https://arxiv.org/abs/1805.11772

zbMATH Keywords

cyclic time random walkrandom stirring model

Mathematics Subject Classification ID

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

Related Items (5)

Critical Parameters for Loop and Bernoulli Percolation ⋮ Interlacing and scaling exponents for the geodesic watermelon in last passage percolation ⋮ The interchange process with reversals on the complete graph ⋮ Phase transition for the interchange and quantum Heisenberg models on the Hamming graph ⋮ Sharp phase transition for random loop models on trees

Cites Work

• Unnamed Item
• Geometric aspects of quantum spin states
• Critical parameter of random loop model on trees
• Sharp phase transition in the random stirring model on trees
• Improved lower bound on thermodynamic pressure of the spin 1/2 Heisenberg ferromagnet
• Nearest-neighbor Markov interaction processes on multidimensional lattices
• A numerical study of the 3D random interchange and random loop models
• Percolation
• Random loop representations for quantum spin systems
• Infinite cycles in the random stirring model on trees
• Atomic Theory of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>λ</mml:mi></mml:math>Transition in Helium

This page was built for publication: Critical point for infinite cycles in a random loop model on trees