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MALIG SIGNED

A mathematical approach to the liquid-glass transition: kinetically constrained models, cellular automata and mixed order phase transitions

Total Cost €

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EC-Contrib. €

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Partnership

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Project "MALIG" data sheet

The following table provides information about the project.

Coordinator
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS 

Organization address
address: RUE MICHEL ANGE 3
city: PARIS
postcode: 75794
website: www.cnrs.fr

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 France [FR]
 Project website https://www.ceremade.dauphine.fr/
 Total cost 883˙250 €
 EC max contribution 883˙250 € (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 2016-09-01   to  2021-08-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS FR (PARIS) coordinator 883˙250.00

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 Project objective

This proposal focuses on the mathematics of three cross-disciplinary, very active and deeply interlaced research themes: interacting particle systems with kinetic constraints, bootstrap percolation cellular automata and mixed order phase transitions. These topics belong to the fertile area of mathematics at the intersection of probability and mathematical statistical mechanics. They are also extremely important in physics. Indeed they are intimately connected to the fundamental problem of understanding the liquid-glass transition, one of the longstanding open questions in condensed matter physics. The funding of this project will allow the PI to lead a highly qualified team with complementary expertise. Such a diversity will allow a novel, interdisciplinary and potentially groundbreaking approach. Even if research on each one of the above topics has been lately quite lively, very few exchanges and little cross-fertilization occurred among them. One of our main goals is to overcome the barriers among the three different research communities and to explore the interfaces of these yet unconnected fields. We will open two novel and challenging chapters in the mathematics of interacting particle systems and cellular automata: interacting particle glassy systems and bootstrap percolation models with mixed order critical and discontinuous transitions. In order to achieve our groundbreaking goals we will have to go well beyond the present mathematical knowledge. We believe that the novel concepts and the unconventional approaches that we will develop will have a deep impact also in other areas including combinatorics, theory of randomized algorithms and complex systems. The scientific background and expertise of the PI, with original and groundbreaking contributions in each of the above topics and with a broad and clearcut vision of the mathematics of the proposed research as well as of the fundamental physical questions,make the PI the ideal leader of this project.

 Publications

year authors and title journal last update
List of publications.
2019 Leticia F Cugliandolo, Vivien Lecomte, Frederic Van Wijland
Building a path-integral calculus: a covariant discretization approach
published pages: , ISSN: 1751-8113, DOI: 10.1088/1751-8121/ab3ad5
Journal of Physics A: Mathematical and Theoretical 2019-11-22
2019 Alessandra Faggionato, Michele Salvi
Regularity of biased 1D random walks in random environment
published pages: 1213, ISSN: 1980-0436, DOI: 10.30757/alea.v16-46
Latin American Journal of Probability and Mathematical Statistics 16/2 2019-11-22
2019 Yongjoo Baek, Yariv Kafri, Vivien Lecomte
Finite-size and finite-time effects in large deviation functions near dynamical symmetry breaking transitions
published pages: 103202, ISSN: 1742-5468, DOI: 10.1088/1742-5468/ab43d5
Journal of Statistical Mechanics: Theory and Experiment 2019/10 2019-11-22
2019 E. Woillez, Y. Zhao, Y. Kafri, V. Lecomte, J. Tailleur
Activated Escape of a Self-Propelled Particle from a Metastable State
published pages: , ISSN: 0031-9007, DOI: 10.1103/physrevlett.122.258001
Physical Review Letters 122/25 2019-11-22
2018 Balogh, Morris, Samotij
THE METHOD OF HYPERGRAPH CONTAINERS
published pages: , ISSN: , DOI:
proceedings ICM Rio de Janeiro 2019-11-12
2020 Shapira, Assaf
Kinetically Constrained Models with Random Constraints
published pages: , ISSN: 1050-5164, DOI:
annals applied probability 2019-11-12
2019 Regan, Slivken
Expected size of a tree in the fixed point forest
published pages: , ISSN: 1462-7264, DOI:
Discrete Mathematics & Theoretical Computer Science 2019-11-12
2020 Marêché, Laure
Combinatorics for general kinetically constrained spin models
published pages: , ISSN: 0895-4801, DOI:
https://hal.archives-ouvertes.fr/hal-01567129 5 2019-11-12
2019 Mareche
Exponential convergence to equilibrium for the d-dimensional East model
published pages: , ISSN: 1083-589X, DOI:
Electronic Communications in Probability 2019-11-12
2019 Shapira, Assaf
Metastable Behavior of Bootstrap Percolation on Galton-Watson Trees
published pages: , ISSN: 1980-0436, DOI:
ALEA 4 2019-11-12
2020 M. Baity-Jesi, R. Ravasio, A. Billoire , G. Biroli , Ivailo Hartarsky
High-energy records in glassy energy landscapes
published pages: , ISSN: 1742-5468, DOI:
Journal of Statistical Mechanics: Theory and Experiment 2019-09-17
2020 Laure Mareche
Exponential convergence to equilibrium for the d-dimensional East model
published pages: , ISSN: 1083-589X, DOI:
Electronic Communications in Probability 2019-09-17
2018 Martinelli , F.; Toninelli , C.
TOWARDS A UNIVERSALITY PICTURE FOR THE RELAXATION TO EQUILIBRIUM OF KINETICALLY CONSTRAINED MODELS
published pages: , ISSN: 0091-1798, DOI:
annals of probability 2019-06-19
2017 Yongjoo Baek, Yariv Kafri, Vivien Lecomte
Dynamical Symmetry Breaking and Phase Transitions in Driven Diffusive Systems
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.118.030604
Physical Review Letters 118/3 2019-06-19
2018 Yongjoo Baek, Yariv Kafri, Vivien Lecomte
Dynamical phase transitions in the current distribution of driven diffusive channels
published pages: 105001, ISSN: 1751-8113, DOI: 10.1088/1751-8121/aaa8f9
Journal of Physics A: Mathematical and Theoretical 51/10 2019-06-19
2018 Blondel , Oriane; Toninelli , C
KINETICALLY CONSTRAINED LATTICE GASES: TAGGED PARTICLE DIFFUSION
published pages: , ISSN: 0246-0203, DOI:
Annales de l\'IHP - Probabilités et Statistiques, In press 2019-06-19
2017 B. Bollobás, H. Duminil-Copin, R. Morris and P. Smith
The sharp threshold for the Duarte model
published pages: 4222-4272, ISSN: 0091-1798, DOI:
Annals of probability 2019-06-19
2018 Arturo L. Zamorategui, Vivien Lecomte, Alejandro B. Kolton
Statistics of zero crossings in rough interfaces with fractional elasticity
published pages: , ISSN: 1539-3755, DOI: 10.1103/PhysRevE.97.042129
Physical Review E 97/4 2019-06-19
2018 Gottschau, Marinus; Heydenreich, Markus; Matzke, Kilian; Toninelli, Cristina
Phase transition for a non-attractive infection process in heterogeneous environment
published pages: 39--56, ISSN: 1024-2953, DOI:
markov processes and related fields 24 2019-06-19
2017 P. Chleboun, A. Faggionato, F. Martinelli, C. Toninelli
Mixing Length Scales of Low Temperature Spin Plaquettes Models
published pages: 441-471, ISSN: 0022-4715, DOI: 10.1007/s10955-017-1880-1
Journal of Statistical Physics 169/3 2019-06-19
2017 R.Morris
Bootstrap percolation and other automata
published pages: 250--263, ISSN: 0195-6698, DOI:
European Journal of Combinatorics 66 2019-06-19
2017 Leticia F Cugliandolo, Vivien Lecomte
Rules of calculus in the path integral representation of white noise Langevin equations: the Onsager–Machlup approach
published pages: 345001, ISSN: 1751-8113, DOI: 10.1088/1751-8121/aa7dd6
Journal of Physics A: Mathematical and Theoretical 50/34 2019-06-19
2018 Abou, Bérengère; Colin, Rémy; Lecomte, Vivien; Pitard, Estelle; van Wijland, Frédéric
Activity statistics in a colloidal glass former: experimental evidence for a dynamical transition
published pages: 164502, ISSN: 0021-9606, DOI:
The Journal of Chemical Physics 148 148 2019-06-19
2018 Lucas Benigni, Clément Cosco, Assaf Shapira, Kay Jörg Wiese
Hausdorff dimension of the record set of a fractional Brownian motion
published pages: , ISSN: 1083-589X, DOI: 10.1214/18-ECP121
Electronic Communications in Probability 23/0 2019-06-19
2017 S.Miner, D.Rizzolo, E.Slivken
Asymptotic distribution of fixed points of pattern-avoiding involutions
published pages: , ISSN: 1462-7264, DOI:
Discrete Mathematics & Theoretical Computer Science 19 2019-06-19
2017 Steven Mathey, Elisabeth Agoritsas, Thomas Kloss, Vivien Lecomte, Léonie Canet
Kardar-Parisi-Zhang equation with short-range correlated noise: Emergent symmetries and nonuniversal observables
published pages: , ISSN: 1539-3755, DOI: 10.1103/PhysRevE.95.032117
Physical Review E 95/3 2019-06-19
2018 Paul Balister; Bela Bollobas; Robert Morris
The sharp threshold for making squares
published pages: 1-95, ISSN: 0003-486X, DOI:
Annals of Mathematics 188 2019-06-19
2017 Takahiro Nemoto, Robert L. Jack, Vivien Lecomte
Finite-Size Scaling of a First-Order Dynamical Phase Transition: Adaptive Population Dynamics and an Effective Model
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.118.115702
Physical Review Letters 118/11 2019-06-19
2019 Marêché, Laure; Martinelli, Fabio; Toninelli, Cristina
Exact asymptotics for Duarte and supercritical rooted kinetically constrained models
published pages: , ISSN: 0091-1798, DOI:
Annals of Probability 8 2019-05-22
2019 Hartarsky, Ivailo; Morris, Robert
The second term for two-neighbour bootstrap percolation in two dimensions
published pages: , ISSN: 0002-9947, DOI:
Transactions of the American Mathematical Society 2019-05-22
2019 Blondel , Oriane; Deshayes , Aurelia; Toninelli , Cristina
Front evolution of the Fredrickson-Andersen one spin facilitated model
published pages: , ISSN: 1083-6489, DOI:
Electronic Journal of Probability 4 2019-05-22
2019 Fabio Martinelli; Robert Morris; Cristina Toninelli
On the infection time of general kinetically constrained models:universality in two dimensions
published pages: , ISSN: 0010-3616, DOI:
Communications in Mathematical Physics 2019-05-22
2018 Paul Balister, József Balogh, Enrico Bertuzzo, Béla Bollobás, Guido Caldarelli, Amos Maritan, Rossana Mastrandrea, Robert Morris, Andrea Rinaldo
River landscapes and optimal channel networks
published pages: 6548-6553, ISSN: 0027-8424, DOI: 10.1073/pnas.1804484115
Proceedings of the National Academy of Sciences 115/26 2019-05-22
2019 Daniel Ahlberg Simon Griffiths Svante Janson Robert Morris
Competition in growth and urns
published pages: , ISSN: 1042-9832, DOI:
random structures and algorithms 2019-05-22
2017 Elisabeth Agoritsas, Vivien Lecomte
Power countings versus physical scalings in disordered elastic systems –Case study of the one-dimensional interface
published pages: , ISSN: 1751-8113, DOI:
J.Phys.A 2019-05-15
2017 Hidalgo, Nemoto, Lecomte
Finite-time and finite-size scalings in theevaluation of large-deviation functions: Numerical approach in continuous time,
published pages: , ISSN: 1539-3755, DOI:
physical review E 2019-05-15
2019 Tizón-Escamilla, Lecomte, Bertin
Effective driven dynamics for one-dimensional conditioned Langevin processes in the weak-noise limit
published pages: , ISSN: 1742-5468, DOI:
j.stat.mech. 2019-05-15
2017 Takahiro Nemoto, Esteban Guevara Hidalgo, Vivien Lecomte
Finite-time and finite-size scalings in theevaluation of large deviation functions: Analytical study using a birth-death process,
published pages: , ISSN: 1539-3755, DOI:
physical review E 2019-05-15
2019 Bollobás, Griffiths, Morris, Rolla, Smith
Nucleation and growth in two dimensions
published pages: , ISSN: 1042-9832, DOI:
random structures and algorithms 2019-05-15
2019 Bollobás, Duminil-Copin, Morris, Smith
Universality of two-dimensional critical cellular automata
published pages: , ISSN: 1460-244X, DOI:
proceedings of the london mathematical society 2019-05-15

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