Objective
The project is in the area of Topological Dynamics, one of the main branches of the Theory of Dynamical Systems. We study minimality in discrete-time dynamical systems given by noninvertible continuous maps or homeomorphisms, as well as in continuous-time dynamical systems given by continuous flows.
Our attention will be focused on, but not reduced to, the following problems:
1. Existence of minimal maps and/or homeomorphisms on manifolds and more general spaces;
2. Classification of minimal sets on manifolds and more general spaces;
3. Denjoy minimal sets;
4. Cantor minimal systems and their embeddings into manifolds;
5. Existence of minimal flows - the Gottschalk Conjecture and related problems.
In the research we will use various techniques from different areas of mathematics - besides the theory of dynamical systems, mostly from algebraic topology, general topology, mathematical analysis, etc. We want to reach the results by bringing together the expertise of the applicant with that of the host institute.
We can summarize the relevance of the project to the objectives of EIF in the following points:
1. reinforcing professional maturity of the applicant by adding scientific competencies;
2. diversifying the applicant's expertise;
3. involving research teams from less-favoured regions;
4. producing and supporting long-term synergies;
5. building a free EU research area by integrating the new member states.
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 pure mathematics mathematical analysis
- natural sciences mathematics applied mathematics dynamical systems
- natural sciences mathematics pure mathematics topology algebraic topology
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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.
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.
FP6-2004-MOBILITY-5
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
VILLETANEUSE
France
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.