Project description
Exploring stochastic processes through random dynamics and geometric analysis
Together, random dynamics and geometric analysis explore how randomness affects geometric properties and how geometric methods provide understanding of their complex, unpredictable behaviours and diffusion processes. In this context, the ERC-funded RanGe project proposes to mathematically analyse the theory of stochastic processes and their applications. Particular attention will be given to the interplay between random dynamics and the geometric space where they are defined. To do so, it will investigate three key areas. The first is stochastic partial differential equations on fractals, focusing on the stochastic heat equation and the parabolic Anderson model. Second, are diffusion methods in sub-Riemannian geometry in relation to novel notions of curvature bounds. Third are the connections between random matrices and the theory of flag manifolds.
Objective
I propose a project in mathematics on the theory of stochastic processes and their applications. I am particularly interested in the interactions between certain random dynamics and the geometry of the space on which they are defined. The focus will be on three parallel ambitious research directions:
(i) Stochastic partial differential equations on fractals, with a focus on the stochastic heat equation and the parabolic Anderson model;
(ii) Diffusion methods in sub-Riemannian geometry with a focus on novel notions of curvature bounds;
(iii) Random matrices with a focus on its connections with the theory of flag manifolds.
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.
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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.
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HORIZON.1.1 - European Research Council (ERC)
MAIN PROGRAMME
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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.
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.
HORIZON-ERC - HORIZON ERC Grants
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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.
(opens in new window) ERC-2024-ADG
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
8000 Aarhus C
Denmark
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.