MALIG SIGNED
A mathematical approach to the liquid-glass transition: kinetically constrained models, cellular automata and mixed order phase transitions
Total Cost €
0EC-Contrib. €
0Partnership
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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 contact info |
| 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.
| # | ||||
|---|---|---|---|---|
| 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 |
|---|---|---|---|
| 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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