Objective
Probability is one of the fastest developing areas of mathematics, finding new connections to other branches constantly, from conformal geometry and representation theory to geometric group theory and PDE. It is also indispensable in physics and computer science. A central object is percolation, the simplest example exhibiting phase transition, shedding light on other statistical physics models in two and more dimensions and on Cayley graphs. It is also a key example of how perturbations of the underlying graph influence stochastic processes.
Gábor Pete is an expert on most aspects of percolation: conformal invariance, scaling limits, critical exponents, noise sensitivity, renormalization, strongly dependent percolation models, random walks on percolation clusters, and connections to geometric group theory. After almost a decade of successful research in the US and Canada, he would like to return to Europe. The Budapest University of Technology is a well-known center of probability and dynamical systems, with experts on self-interacting random walks, diffusion in disordered media, interacting particle systems, random graphs and fractals.
The proposal concerns the following interrelated topics: 1. The advancement of two-dimensional probability by extending the understanding of critical systems to the near-critical regime and proving conformal invariance for new models. 2. Random walks (return probabilities, spectral measures, scaling limits) on groups, quasicrystals, fractal-like graphs. 3. Studying graph limits, dynamically growing graphs, and fractals, via probability and Szemerédi regularity type ideas.
The project would introduce conformally invariant and geometric group theoretical probability to Hungary and equip Pete with new tools and points of views. It would establish new collaborative links worldwide, raise the status of the European Research Area, and help reverse brain drain.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics applied mathematics dynamical systems
- natural sciences computer and information sciences
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics pure mathematics discrete mathematics graph theory
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
You need to log in or register to use this function
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-2010-IIF
See other projects for this call
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
1111 BUDAPEST
Hungary
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.