Opendata, web and dolomites

LocalOrder SIGNED

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

Total Cost €

0

EC-Contrib. €

0

Partnership

0

Views

0

 LocalOrder project word cloud

Explore the words cloud of the LocalOrder project. It provides you a very rough idea of what is the project "LocalOrder" about.

tantalizing    connection    prediction    existence    spin    asymptotics    quite    lastly    exhibit    reinforced    physics    temperature    fluctuation    conjectures    structures    spectacular    questions    pi    question    interface    2d    progress    tied    walks    lying    phenomenon    rigidity    previously    combinatorial    opening    statistical    behavior    schrodinger    dimensions    proof    lebowitz    1975    surfaces    limited    notable    predicted    proved    decay    thresholds    localization    proper    correlations    matrices    physical    successfully    dimensional    heisenberg    prove    colorings    intends    phenomena    operators    conjectured    random    models    kotecky    lieb    1985    conjecture    mathematical    purely    answer    universality    size    versions    delocalization    brascamp    loop    solving    polyakov    context    probability    fundamental    circle    unattainable    rigorous    regards    exponential    band    model    combinatorics    solved    answering    theory   

Project "LocalOrder" data sheet

The following table provides information about the project.

Coordinator
TEL AVIV UNIVERSITY 

Organization address
address: RAMAT AVIV
city: TEL AVIV
postcode: 69978
website: http://www.tau.ac.il/

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Israel [IL]
 Project website http://www.math.tau.ac.il/
 Total cost 1˙136˙904 €
 EC max contribution 1˙136˙904 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2015-STG
 Funding Scheme ERC-STG
 Starting year 2016
 Duration (year-month-day) from 2016-01-01   to  2020-12-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    TEL AVIV UNIVERSITY IL (TEL AVIV) coordinator 1˙136˙904.00

Map

 Project objective

Mathematical statistical physics has seen spectacular progress in recent years. Existing problems which were previously unattainable were solved, opening a way to approach some of the classical open questions in the field. The proposed research focuses on phenomena of localization and long-range order in physical systems of large size, identifying several fundamental questions lying at the interface of Statistical Physics, Probability Theory and Combinatorics. One circle of questions concerns the fluctuation behavior of random surfaces, where the PI has recently proved delocalization in two dimensions answering a 1975 question of Brascamp, Lieb and Lebowitz. A main goal of the research is to establish some of the long-standing universality conjectures for random surfaces. This study is also tied to the localization features of random operators, such as random Schrodinger operators and band matrices, as well as those of reinforced random walks. The PI intends to develop this connection further to bring the state-of-the-art to the conjectured thresholds. A second circle of questions regards long-range order in high-dimensional systems. This phenomenon is predicted to encompass many models of statistical physics but rigorous results are quite limited. A notable example is the PI’s proof of Kotecky’s 1985 conjecture on the rigidity of proper 3-colorings in high dimensions. The methods used in this context are not limited to high dimensions and were recently used by the PI to prove the analogue for the loop O(n) model of Polyakov’s 1975 prediction that the 2D Heisenberg model and its higher spin versions exhibit exponential decay of correlations at any temperature. Lastly, statistical physics methods are proposed for solving purely combinatorial problems. The PI has applied this approach successfully to solve questions of existence and asymptotics for combinatorial structures and intends to develop it further to answer some of the tantalizing open questions in the field.

 Publications

year authors and title journal last update
List of publications.
2018 Rudnick, Ze\'ev
On locally repeated values of arithmetic functions over $mathbb F_q[T]$
published pages: , ISSN: , DOI:
1 2019-07-08
2018 Christophe Sabot, Xiaolin Zeng
A random Schrödinger operator associated with the Vertex Reinforced Jump Process on infinite graphs
published pages: 1, ISSN: 0894-0347, DOI: 10.1090/jams/906
Journal of the American Mathematical Society 2019-07-08
2017 Elboim, Dor; Peled, Ron
Limit distributions for Euclidean random permutations
published pages: , ISSN: , DOI:
1 2019-07-08
2017 Glazman, Alexander; Manolescu, Ioan
Self-avoiding walk on $mathbb{Z}^2$ with Yang-Baxter weights: universality of critical fugacity and 2-point function
published pages: , ISSN: , DOI:
2 2019-07-08
2018 Matan Harel, Yinon Spinka
Finitary codings for the random-cluster model and other infinite-range monotone models
published pages: , ISSN: , DOI:
2019-07-08
2018 Briceño, Raimundo
A SMB approach for pressure representation in amenable virtually orderable groups
published pages: , ISSN: , DOI:
1 2019-07-08
2017 Sabot, Christophe; Zeng, Xiaolin
Hitting times of interacting drifted Brownian motions and the vertex reinforced jump process
published pages: , ISSN: , DOI:
3 2019-07-08
2017 Magazinov, Alexander
On a conjecture by Eckhoff and Dolnikov concerning line transversals to Euclidean disks
published pages: , ISSN: , DOI:
1 2019-07-08
2017 Chandgotia, Nishant; Pak, Igor; Tassy, Martin
Kirszbraun-type Theorems For Graphs
published pages: , ISSN: , DOI:
1 2019-07-08
2018 Spinka, Yinon
Finitary codings of spatial mixing Markov random fields
published pages: , ISSN: , DOI:
1 2019-07-08
2018 Collevecchio, Andrea; Zeng, Xiaolin
A note on recurrence of the Vertex reinforced jump process and fractional moments localization
published pages: , ISSN: , DOI:
1 2019-07-08
2018 Spinka, Yinon
Finitary coding of the sub-critical Ising model with finite expected coding volume
published pages: , ISSN: , DOI:
1 2019-07-08
2017 Peled, Ron; Spinka, Yinon
Lectures on the Spin and Loop $O(n)$ Models
published pages: , ISSN: , DOI:
2 2019-07-08
2017 Ron Peled, Jeffrey Schenker, Mira Shamis, Sasha Sodin
On the Wegner Orbital Model
published pages: , ISSN: 1073-7928, DOI: 10.1093/imrn/rnx145
International Mathematics Research Notices 2019-07-08
2017 Kharash, Vital; Peled, Ron
\"The Fr\"\"ohlich-Spencer Proof of the Berezinskii-Kosterlitz-Thouless Transition\"\"\"
published pages: , ISSN: , DOI:
1 2019-07-08
2017 Aaronson, Jon.; Bromberg, Michael; Chandgotia, Nishant
Rational ergodicity of Step function Skew Products
published pages: , ISSN: , DOI:
3 2019-07-08
2017 Hugo Duminil-Copin, Alexander Glazman, Ron Peled, Yinon Spinka
Macroscopic loops in the loop O(n) model at Nienhuis\' critical point
published pages: , ISSN: , DOI:
2019-07-08
2017 Cohen-Alloro, Omri; Peled, Ron
Rarity of extremal edges in random surfaces and other theoretical applications of cluster algorithms
published pages: , ISSN: , DOI:
1 2019-07-08
2017 Raimundo Bricen͂o, Ronnie Pavlov
Strong Spatial Mixing in Homomorphism Spaces
published pages: 2110-2137, ISSN: 0895-4801, DOI: 10.1137/16m1066178
SIAM Journal on Discrete Mathematics 31/3 2019-07-08
2017 Magazinov, Alexander
A proof of a conjecture by Haviv, Lyubashevsky and Regev on the second moment of a lattice Voronoi cell
published pages: , ISSN: , DOI:
3 2019-07-08
2018 Alexander Magazinov
On Percolation of Two-Dimensional Hard Disks
published pages: , ISSN: 0010-3616, DOI: 10.1007/s00220-018-3193-x
Communications in Mathematical Physics 2019-07-08
2018 Michael Aizenman, Ron Peled
A power-law upper bound on the correlations in the 2D random field Ising model
published pages: , ISSN: , DOI:
2019-07-08
2018 Partha Dey, Mathew Joseph, Ron Peled
Longest increasing path within the critical strip
published pages: , ISSN: , DOI:
2019-07-08
2018 OHAD NOY FELDHEIM, YINON SPINKA
The Growth Constant of Odd Cutsets in High Dimensions
published pages: 208-227, ISSN: 0963-5483, DOI: 10.1017/s0963548317000438
Combinatorics, Probability and Computing 27/02 2019-07-08
2017 Peled, Ron; Spinka, Yinon
A condition for long-range order in discrete spin systems with application to the antiferromagnetic Potts model
published pages: , ISSN: , DOI:
1 2019-07-08
2018 Ron Peled, Yinon Spinka
Rigidity of proper colorings of Z^d
published pages: , ISSN: , DOI:
2019-07-08
2018 Raimundo Briceño, Kevin McGoff, Ronnie Pavlov
Factoring onto $mathbb {Z}^d$ subshifts with the finite extension property
published pages: 1, ISSN: 0002-9939, DOI: 10.1090/proc/14267
Proceedings of the American Mathematical Society 2019-07-08
2019 Raimundo Briceño, Andrei Bulatov, Victor Dalmau, Benoit Larose
Long range actions, connectedness, and dismantlability in relational structures
published pages: , ISSN: , DOI:
2019-03-18
2018 Alexander Glazman, Ioan Manolescu
Uniform Lipschitz functions on the triangular lattice have logarithmic variations
published pages: , ISSN: , DOI:
2019-03-18
2018 Nishant Chandgotia, Ron Peled, Scott Sheffield, Martin Tassy
Delocalization of uniform graph homomorphisms from Z^2 to Z
published pages: , ISSN: , DOI:
2019-03-18
2018 Alexander Glazman, Ioan Manolescu
Exponential decay in the loop O(n) model: n>1, x<1/sqrt(3) + epsilon(n)
published pages: , ISSN: , DOI:
2019-03-18

Are you the coordinator (or a participant) of this project? Plaese send me more information about the "LOCALORDER" project.

For instance: the website url (it has not provided by EU-opendata yet), the logo, a more detailed description of the project (in plain text as a rtf file or a word file), some pictures (as picture files, not embedded into any word file), twitter account, linkedin page, etc.

Send me an  email (fabio@fabiodisconzi.com) and I put them in your project's page as son as possible.

Thanks. And then put a link of this page into your project's website.

The information about "LOCALORDER" are provided by the European Opendata Portal: CORDIS opendata.

More projects from the same programme (H2020-EU.1.1.)

NeuroMag (2019)

The Neurological Basis of the Magnetic Sense

Read More  

Life-Inspired (2019)

Life-inspired complex molecular systems controlled by enzymatic reaction networks

Read More  

IMPACCT (2019)

Improved Patient Care by Combinatorial Treatment

Read More