Localization and Ordering Phenomena in Statistical Physics, Probability Theory and Combinatorics

Project Information

LocalOrder

Grant agreement ID: 678520

DOI

10.3030/678520

Project closed

EC signature date 14 December 2015

Start date 1 January 2016

End date 31 December 2021

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 136 904,00

EU contribution

€ 1 136 904,00

Coordinated by

TEL AVIV UNIVERSITY
Israel

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (29)

Quantitative homogenization of the parabolic and elliptic Green's functions on percolation clusters

Author(s): Paul Dario, Chenlin Gu
Published in: Annals of Probability, Issue 49 (2), 2021, Page(s) 556 - 636, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/20-aop1456

Power-law decay of weights and recurrence of the two-dimensional VRJP

Author(s): Gady Kozma, Ron Peled
Published in: Electronic Journal of Probability, Issue 26, 2021, Page(s) 1-19, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/21-ejp639

Exponential Decay of Correlations in the 2D Random Field Ising Model

Author(s): Michael Aizenman, Matan Harel, Ron Peled
Published in: Journal of Statistical Physics, Issue 180/1-6, 2020, Page(s) 304-331, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-019-02401-5

Mixing properties of colorings of the Z^d lattice

Author(s): Noga Alon, Raimundo Briceño, Nishant Chandgotia, Alexander Magazinov, Yinon Spinka
Published in: Combinatorics, Probability and Computing, Issue Volume 30 , Issue 3, 2021, Page(s) 360 - 373, ISSN 0963-5483
Publisher: Cambridge University Press
DOI: 10.1017/s0963548320000395

On the Wegner Orbital Model

Author(s): Ron Peled, Jeffrey Schenker, Mira Shamis, Sasha Sodin
Published in: International Mathematics Research Notices, 2017, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnx145

Mixing properties for hom-shifts and the distance between walks on associated graphs

Author(s): Nishant Chandgotia, Brian Marcus
Published in: Pacific Journal of Mathematics, Issue 294/1, 2018, Page(s) 41-69, ISSN 0030-8730
Publisher: University of California at Berkeley
DOI: 10.2140/pjm.2018.294.41

Strong Spatial Mixing in Homomorphism Spaces

Author(s): Raimundo Bricen͂o, Ronnie Pavlov
Published in: SIAM Journal on Discrete Mathematics, Issue 31/3, 2017, Page(s) 2110-2137, ISSN 0895-4801
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/16m1066178

A random Schrödinger operator associated with the Vertex Reinforced Jump Process on infinite graphs

Author(s): Christophe Sabot, Xiaolin Zeng
Published in: Journal of the American Mathematical Society, 2018, Page(s) 1, ISSN 0894-0347
Publisher: American Mathematical Society
DOI: 10.1090/jams/906

Factoring onto $\mathbb {Z}^d$ subshifts with the finite extension property

Author(s): Raimundo Briceño, Kevin McGoff, Ronnie Pavlov
Published in: Proceedings of the American Mathematical Society, 2018, Page(s) 1, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/14267

The Growth Constant of Odd Cutsets in High Dimensions

Author(s): OHAD NOY FELDHEIM, YINON SPINKA
Published in: Combinatorics, Probability and Computing, Issue 27/02, 2018, Page(s) 208-227, ISSN 0963-5483
Publisher: Cambridge University Press
DOI: 10.1017/s0963548317000438

Kirszbraun-type theorems for graphs

Author(s): Nishant Chandgotia, Igor Pak, Martin Tassy
Published in: Journal of Combinatorial Theory, Series B, Issue 137, 2019, Page(s) 10-24, ISSN 0095-8956
Publisher: Academic Press
DOI: 10.1016/j.jctb.2018.11.007

Self-avoiding walk on $\mathbb{Z}^2$ with Yang-Baxter weights: universality of critical fugacity and 2-point function

Author(s): Glazman, Alexander; Manolescu, Ioan
Published in: Ann. Inst. H. Poincaré Probab. Statist., Issue 56 (4), 2020, Page(s) 2281-2300, ISSN 0246-0203
Publisher: Elsevier BV
DOI: 10.1214/19-aihp1024

Rational ergodicity of step function skew products

Author(s): Jon Aaronson, Michael Bromberg, Nishant Chandgotia
Published in: Journal of Modern Dynamics, Issue 13/1, 2018, Page(s) 1-42, ISSN 1930-532X
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/jmd.2018012

A note on recurrence of the Vertex reinforced jump process and fractional moments localization

Author(s): Collevecchio, Andrea; Zeng, Xiaolin
Published in: Electron. J. Probab., Issue 26, 2021, Page(s) 1-16, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/21-ejp609

Limit Distributions for Euclidean Random Permutations

Author(s): Dor Elboim, Ron Peled
Published in: Communications in Mathematical Physics, Issue 369/2, 2019, Page(s) 457-522, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-019-03421-8

A SMB approach for pressure representation in amenable virtually orderable groups

Author(s): Briceño, Raimundo
Published in: Journal d'Analyse Mathématique, Issue 142, 2020, Page(s) 421–451, ISSN 0021-7670
Publisher: Magnes Press
DOI: 10.1007/s11854-020-0140-5

On locally repeated values of arithmetic functions over Fq[T]

Author(s): Zeév Rudnick, Ron Peled
Published in: The Quarterly Journal of Mathematics, Issue 70/2, 2018, Page(s) 451-472, ISSN 0033-5606
Publisher: Oxford University Press
DOI: 10.1093/qmath/hay053

A Power-Law Upper Bound on the Correlations in the 2D Random Field Ising Model

Author(s): Michael Aizenman, Ron Peled
Published in: Communications in Mathematical Physics, Issue 372/3, 2019, Page(s) 865-892, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-019-03450-3

Finitary coding for the sub-critical Ising model with finite expected coding volume

Author(s): Yinon Spinka
Published in: Electronic Journal of Probability, Issue 25/0, 2020, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/20-ejp420

Macroscopic loops in the loop O(n) model at Nienhuis' critical point

Author(s): Hugo Duminil-Copin, Alexander Glazman, Ron Peled, Yinon Spinka
Published in: Journal of the European Mathematical Society, Issue 23, no. 1, 2021, Page(s) 315–347, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1012

On Percolation of Two-Dimensional Hard Disks

Author(s): Alexander Magazinov
Published in: Communications in Mathematical Physics, 2018, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-018-3193-x

Finitary codings for spatial mixing Markov random fields

Author(s): Yinon Spinka
Published in: Annals of Probability, Issue 48/3, 2020, Page(s) 1557-1591, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/19-aop1405

Hitting times of interacting drifted Brownian motions and the vertex reinforced jump process

Author(s): Christophe Sabot, Xiaolin Zeng
Published in: Annals of Probability, Issue 48/3, 2020, Page(s) 1057-1085, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/19-aop1381

Rarity of extremal edges in random surfaces and other theoretical applications of cluster algorithms

Author(s): Cohen-Alloro, Omri; Peled, Ron
Published in: Ann. Appl. Probab., Issue 30(5), 2020, Page(s) 2439-2464, ISSN 1050-5164
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/20-aap1562

A proof of a conjecture by Haviv, Lyubashevsky and Regev on the second moment of a lattice Voronoi cell

Author(s): Alexander Magazinov
Published in: Advances in Geometry, Issue 20/1, 2020, Page(s) 117-120, ISSN 1615-715X
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/advgeom-2018-0018

Delocalization of uniform graph homomorphisms from Z^2 to Z

Author(s): Nishant Chandgotia, Ron Peled, Scott Sheffield, Martin Tassy
Published in: Communications in Mathematical Physics, Issue volume 387, 2021, Page(s) 621–647, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04181-0

Uniform Lipschitz functions on the triangular lattice have logarithmic variations

Author(s): Alexander Glazman, Ioan Manolescu
Published in: Communications in Mathematical Physics, Issue 381, 2021, Page(s) 1153–1221, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-020-03920-z

Dismantlability, connectedness, and mixing in relational structures

Author(s): Raimundo Briceño, Andrei Bulatov, Victor Dalmau, Benoit Larose
Published in: Journal of Combinatorial Theory, Series B, Issue 147, 2021, Page(s) 37-70, ISSN 0095-8956
Publisher: Academic Press
DOI: 10.1016/j.jctb.2020.10.001

Borel subsystems and ergodic universality for compact Z^d-systems via specification and beyond

Author(s): Nishant Chandgotia, Tom Meyerovitch
Published in: Proceedings of the London Mathematical Society, Issue 123 Issue 3, 2021, Page(s) 231-312, ISSN 1460-244X
Publisher: London Mathematical Society
DOI: 10.1112/plms.12398

Other (20)

On the site percolation threshold of circle packings and planar graphs

Author(s): Ron Peled
Published in: 2020
Publisher: Preprint

On the transition between the disordered and antiferroelectric phases of the 6-vertex model

Author(s): Alexander Glazman, Ron Peled
Published in: 2019
Publisher: Preprint

Quantitative disorder effects in low-dimensional spin systems

Author(s): Dario, Paul; Harel, Matan; Peled, Ron
Published in: Issue 1, 2021
Publisher: arXiv

Macroscopic loops in the loop~O(n) model via the XOR trick

Author(s): Nicholas Crawford, Alexander Glazman, Matan Harel, Ron Peled
Published in: 2020
Publisher: Preprint

Logarithmic variance for the height function of square-ice

Author(s): Hugo Duminil-Copin, Matan Harel, Benoit Laslier, Aran Raoufi, Gourab Ray
Published in: 2019
Publisher: Preprint

Massless Phases for the Villain model in d≥3

Author(s): Paul Dario, Wei Wu
Published in: 2020
Publisher: Preprint

Three lectures on random proper colorings of Zd

Author(s): Ron Peled, Yinon Spinka
Published in: 2020
Publisher: Preprint

Random-field random surfaces

Author(s): Dario, Paul; Harel, Matan; Peled, Ron
Published in: Issue 1, 2021
Publisher: arXiv

Concentration inequalities for log-concave distributions with applications to random surface fluctuations

Author(s): Alexander Magazinov, Ron Peled
Published in: 2020
Publisher: Preprint

Long-range order in discrete spin systems

Author(s): Ron Peled, Yinon Spinka
Published in: 2020
Publisher: arXiv

Depinning in the integer-valued Gaussian Field and the BKT phase of the 2D Villain model

Author(s): Michael Aizenman, Matan Harel, Ron Peled, Jacob Shapiro
Published in: 2021
Publisher: arXiv

Upper tails via high moments and entropic stability

Author(s): Matan Harel, Frank Mousset, Wojciech Samotij
Published in: 2019
Publisher: Preprint

Longest increasing path within the critical strip

Author(s): Partha Dey, Mathew Joseph, Ron Peled
Published in: 2018
Publisher: Preprint

On a conjecture by Eckhoff and Dolnikov concerning line transversals to Euclidean disks

Author(s): Magazinov, Alexander
Published in: Issue 1, 2017
Publisher: Preprint

Rigidity of proper colorings of Z^d

Author(s): Ron Peled, Yinon Spinka
Published in: 2018
Publisher: Preprint

"The Fr\""ohlich-Spencer Proof of the Berezinskii-Kosterlitz-Thouless Transition"

Author(s): Kharash, Vital; Peled, Ron
Published in: Issue 1, 2017
Publisher: Preprint

A condition for long-range order in discrete spin systems with application to the antiferromagnetic Potts model

Author(s): Peled, Ron; Spinka, Yinon
Published in: Issue 1, 2017
Publisher: Preprint

Finitary codings for the random-cluster model and other infinite-range monotone models

Author(s): Matan Harel, Yinon Spinka
Published in: 2018
Publisher: Preprint

What does a typical metric space look like?

Author(s): Gady Kozma, Tom Meyerovitch, Ron Peled, Wojciech Samotij
Published in: 2021
Publisher: arXiv

Convergence of the thermodynamic limit for random-field random surfaces

Author(s): Paul Dario
Published in: 2021
Publisher: arXiv

Book chapters (2)

Lectures on the Spin and Loop O(n) Models

Author(s): Ron Peled, Yinon Spinka
Published in: Sojourns in Probability Theory and Statistical Physics - I - Spin Glasses and Statistical Mechanics, A Festschrift for Charles M. Newman, Issue 298, 2019, Page(s) 246-320, ISBN 978-981-15-0293-4
Publisher: Springer Singapore
DOI: 10.1007/978-981-15-0294-1_10

Exponential decay in the loop O(n) model: n>1, x<1/sqrt(3) + epsilon(n)

Author(s): Alexander Glazman, Ioan Manolescu
Published in: In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius, 2021, Page(s) 455-470, ISBN 978-3-030-60753-1
Publisher: Springer