Explore the words cloud of the HyLEF project. It provides you a very rough idea of what is the project "HyLEF" about.
The following table provides information about the project.
Coordinator |
INSTITUTO SUPERIOR TECNICO
Organization address contact info |
Coordinator Country | Portugal [PT] |
Project website | https://patriciamath.wixsite.com/patricia/hylef |
Total cost | 1˙179˙496 € |
EC max contribution | 1˙179˙496 € (100%) |
Programme |
1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC)) |
Code Call | ERC-2016-STG |
Funding Scheme | ERC-STG |
Starting year | 2016 |
Duration (year-month-day) | from 2016-12-01 to 2021-11-30 |
Take a look of project's partnership.
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1 | INSTITUTO SUPERIOR TECNICO | PT (LISBOA) | coordinator | 1˙179˙496.00 |
A classical problem in the field of interacting particle systems (IPS) is to derive the macroscopic laws of the thermodynamical quantities of a physical system by considering an underlying microscopic dynamics which is composed of particles that move according to some prescribed stochastic, or deterministic, law. The macroscopic laws can be partial differential equations (PDE) or stochastic PDE (SPDE) depending on whether one is looking at the convergence to the mean or to the fluctuations around that mean. One of the purposes of this research project is to give a mathematically rigorous description of the derivation of SPDE from different IPS. We will focus on the derivation of the stochastic Burgers equation (SBE) and its integrated counterpart, namely, the KPZ equation, as well as their fractional versions. The KPZ equation is conjectured to be a universal SPDE describing the fluctuations of randomly growing interfaces of 1d stochastic dynamics close to a stationary state. With this study we want to characterize what is known as the KPZ universality class: the weak and strong conjectures. The latter states that there exists a universal process, namely the KPZ fixed point, which is a fixed point of the renormalization group operator of space-time scaling 1:2:3, for which the KPZ is also invariant. The former states that the fluctuations of a large class of 1d conservative microscopic dynamics are ruled by stationary solutions of the KPZ. Our goal is threefold: first, to derive the KPZ equation from general weakly asymmetric systems, showing its universality; second, to derive new SPDE, which are less studied in the literature, as the fractional KPZ from IPS which allow long jumps, the KPZ with boundary conditions from IPS in contact with reservoirs or with defects, and coupled KPZ from IPS with more than one conserved quantity. Finally, we will analyze the fluctuations of purely strong asymmetric systems, which are conjectured to be given by the KPZ fixed point.
year | authors and title | journal | last update |
---|---|---|---|
2019 |
Aritra Kundu, Cédric Bernardin, Keji Saito, Anupam Kundu, Abhishek Dhar Fractional equation description of an open anomalous heat conduction set-up published pages: 13205, ISSN: 1742-5468, DOI: 10.1088/1742-5468/aaf630 |
Journal of Statistical Mechanics: Theory and Experiment 2019/1 | 2019-09-04 |
2018 |
L. Avena, M. Jara, F. Völlering Explicit LDP for a slowed RW driven by a symmetric exclusion process published pages: 865-915, ISSN: 0178-8051, DOI: 10.1007/s00440-017-0797-6 |
Probability Theory and Related Fields 171/3-4 | 2019-09-04 |
2019 |
Milton Jara, Gregorio R. Moreno Flores Scaling of the Sasamoto-Spohn model in equilibrium published pages: , ISSN: 1083-589X, DOI: 10.1214/18-ECP206 |
Electronic Communications in Probability 24/0 | 2019-09-04 |
2018 |
L. Avena, M. Jara, F. Völlering Explicit LDP for a slowed RW driven by a symmetric exclusion process published pages: 865-915, ISSN: 0178-8051, DOI: 10.1007/s00440-017-0797-6 |
Probability Theory and Related Fields 171/3-4 | 2019-06-13 |
2018 |
PatrÃcia Gonçalves, Milton Jara Density fluctuations for exclusion processes with long jumps published pages: 311-362, ISSN: 0178-8051, DOI: 10.1007/s00440-017-0758-0 |
Probability Theory and Related Fields 170/1-2 | 2019-06-13 |
2017 |
PatrÃcia Gonçalves, Milton Jara Stochastic Burgers equation from long range exclusion interactions published pages: 4029-4052, ISSN: 0304-4149, DOI: 10.1016/j.spa.2017.03.022 |
Stochastic Processes and their Applications 127/12 | 2019-06-13 |
2018 |
Cédric Bernardin, PatrÃcia Gonçalves, Milton Jara, Marielle Simon Nonlinear Perturbation of a Noisy Hamiltonian Lattice Field Model: Universality Persistence published pages: 605-659, ISSN: 0010-3616, DOI: 10.1007/s00220-018-3191-z |
Communications in Mathematical Physics 361/2 | 2019-06-13 |
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The information about "HYLEF" are provided by the European Opendata Portal: CORDIS opendata.
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