Source: OpenCitations

• Critical parameter of random loop model on trees

  The Annals of Applied Probability

  Authors : Jakob E. Björnberg, Daniel Ueltschi

  Journal reference : Volume 28, 2018, pp.

  DOI : 10.1214/17-aap1315

• Large cycles in random permutations related to the Heisenberg model

  Electronic Communications in Probability

  Authors : Jakob Björnberg

  Journal reference : Volume 20, 2015, pp.

  DOI : 10.1214/ecp.v20-4328

• The random interchange process on the hypercube

  Electronic Communications in Probability

  Authors : Roman Kotecký, Piotr Miłoś, Daniel Ueltschi

  Journal reference : Volume 21, 2016, pp.

  DOI : 10.1214/16-ecp4540

• A phase transition in the random transposition random walk

  Probability Theory and Related Fields

  Authors : Nathanaël Berestycki , Rick Durrett

  Journal reference : Volume 136, 2005, pp. 203-233

  DOI : 10.1007/s00440-005-0479-7

• The interchange process with reversals on the complete graph

  Electronic Journal of Probability

  Authors : Jakob E. Björnberg , Michał Kotowski , Benjamin Lees, Piotr Miłoś

  Journal reference : Volume 24, 2019, pp.

  DOI : 10.1214/19-ejp366

• Phase transition for loop representations of quantum spin systems on trees

  arXiv (Cornell University)

  Authors : Volker Betz , Johannes Ehlert, Benjamin Lees

  Journal reference : Volume 59, 2018, pp.

  DOI : 10.1063/1.5032152

• Critical Temperature of Heisenberg Models on Regular Trees, via Random Loops

  Journal of Statistical Physics

  Authors : Jakob E. Björnberg , Daniel Ueltschi

  Journal reference : Volume 173, 2018, pp. 1369-1385

  DOI : 10.1007/s10955-018-2154-2

• Sharp phase transition in the random stirring model on trees

  Probability Theory and Related Fields

  Authors : Alan Hammond

  Journal reference : Volume 161, 2014, pp. 429-448

  DOI : 10.1007/s00440-013-0543-7

• The mean-field quantum Heisenberg ferromagnet via representation theory

  Annales de l Institut Henri Poincaré Probabilités et Statistiques

  Authors : Gil Alon , Gady Kozma

  Journal reference : Volume 57, 2021, pp.

  DOI : 10.1214/20-aihp1067

• Phase transition for the interchange and quantum Heisenberg models on the Hamming graph

  arXiv (Cornell University)

  Authors : Radosław Adamczak , Michał Kotowski , Piotr Miłoś

  Journal reference : Volume 57, 2021, pp.

  DOI : 10.1214/20-aihp1079

• Directed spatial permutations on asymmetric tori

  Durham Research Online (Durham University)

  Authors : Alan Hammond , Tyler Helmuth

  Journal reference : Volume 54, 2026, pp.

  DOI : 10.1214/24-aop1718

• Compositions of random transpositions

  Israel Journal of Mathematics

  Authors : Oded Schramm

  Journal reference : Volume 147, 2005, pp. 221-243

  DOI : 10.1007/bf02785366

• Existence of a phase transition of the interchange process on the Hamming graph

  Electronic Journal of Probability

  Authors : Piotr Miłoś, Batı Şengül

  Journal reference : Volume 24, 2019, pp.

  DOI : 10.1214/18-ejp171

• On the cycle structure of Mallows permutations

  The Annals of Probability

  Authors : Alexey Gladkich, Ron Peled

  Journal reference : Volume 46, 2018, pp.

  DOI : 10.1214/17-aop1202

• Compositions of Random Transpositions

  Selected Works of Oded Schramm

  Authors : Oded Schramm

  Journal reference : Volume , 2011, pp. 571-593

  DOI : 10.1007/978-1-4419-9675-6_17

• Emergence of Giant Cycles and Slowdown Transition in Random Transpositions and $k$-Cycles

  Electronic Journal of Probability

  Authors : Nathanael Berestycki

  Journal reference : Volume 16, 2011, pp.

  DOI : 10.1214/ejp.v16-850

• Sharp phase transition for random loop models on trees

  Electronic Journal of Probability

  Authors : Volker Betz , Johannes Ehlert, Benjamin Lees, Lukas Roth

  Journal reference : Volume 26, 2021, pp.

  DOI : 10.1214/21-ejp677

• Limit Distributions for Euclidean Random Permutations

  arXiv (Cornell University)

  Authors : Dor Elboim , Ron Peled

  Journal reference : Volume 369, 2019, pp. 457-522

  DOI : 10.1007/s00220-019-03421-8

• Critical parameters for loop and Bernoulli percolation

  Latin American Journal of Probability and Mathematical Statistics

  Authors : Peter Mülbacher

  Journal reference : Volume 18, 2021, pp. 289

  DOI : 10.30757/alea.v18-13

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

  The Annals of Applied Probability

  Authors : Alan Hammond , Milind Hegde

  Journal reference : Volume 29, 2019, pp.

  DOI : 10.1214/18-aap1442

• Quantum Heisenberg models and their probabilistic representations

  Contemporary mathematics - American Mathematical Society

  Authors : Christina Goldschmidt , Daniel Ueltschi , Peter Windridge

  Journal reference : Volume , 2011, pp. 177-224

  DOI : 10.1090/conm/552/10917

• The probability of long cycles in interchange processes

  arXiv (Cornell University)

  Authors : Gil Alon, Gady Kozma

  Journal reference : Volume 162, 2013, pp.

  DOI : 10.1215/00127094-2266018