Objective
Random walk in random environment (RWRE) is one of the standard models in the study of random media. Originally motivated by molecular biology applications and subsequently used in the modeling of disordered systems, it has been a constant source of fascinating mathematical phenomena and challenging open problems over the last four decades. The theory of large deviations is a cornerstone of modern probability, with applications to statistical mechanics, information theory, control engineering, risk management and many other fields.
The main goal of the proposed project is to attain a clear and detailed understanding of the large deviation properties of multidimensional RWRE. The objectives can be summarized as follows: (i) Obtain simple expressions for the quenched and the averaged large deviation rate functions. (ii) Compare these rate functions and find a formula that links them. (iii) Identify the dynamics of the walk when it is conditioned to have an atypical velocity. (iv) Characterize when the new dynamics is obtained from the original one by a simple change of measure. (v) Find the ergodic invariant measure on environments from the point of view of the particle under such a conditioning.
The project will build on the past accomplishments of the researcher on this topic and will involve variational formulas for the rate functions and their minimizers. The researcher will start by studying directed RWRE and focus on specific environment distributions. He will then consider general distributions and adapt the results to ballistic undirected walks by making use of regeneration times. The techniques are robust, they also cover polymers in random environments, and are likely to shed light on the open problem of strong vs. very strong disorder. The project has applications to some of the most active areas of probability theory, statistical mechanics, mathematical physics, and stochastic PDEs.
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 physical sciences theoretical physics particle physics
- natural sciences mathematics applied mathematics mathematical physics
- natural sciences physical sciences classical mechanics statistical mechanics
- natural sciences mathematics applied mathematics statistics and probability
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
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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-2012-CIG
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.
MC-CIG - Support for training and career development of researcher (CIG)
Coordinator
34450 Istanbul
Türkiye
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.