Objective
The applicant and the host intend to investigate dynamics and entropy of homeomorfhism groups (resp.,pseudogroups) of fractals. They are going to apply those results for construction of a foliated space of co-dimension 2 and positive entropy, which minimal set is locally homeomorphic to a given fractal (for example the Sierpinski gasket).
Moreover, they would like to find what types of minimal sets and entropies can be realised by foliated spaces with restricted geometry. The applicant and the host are going to study relations between the geometry of fractals and dynamics of foliated spaces of higher co-dimension.
Results in foliation theory provide information about solutions of partial equations without referring to the explicit form of their solutions. Therefore, one can find applications of foliation theory in many areas of partial differential equations.
The knowledge and experience gained during the Fellowship will cause not only individual development of the applicant but also create the possibility to implement new results in science and practical applications of partial differential equations in Europe. Fractals, which can be realised as transversals of foliated spaces, and its dynamics can be applied not only in physics, chemistry or medicine (to describe the growth of cancer) but also for Internet traffic.
The joint research with the Department of Mathematics at the University of Illinois at Chicago can increase the competitiveness of Europe in new area of intersection of foliated spaces of higher co-dimension with fractal geometry and dynamical systems. The possibility of implementations of the results of research in industry makes this area of investigations very attractive.
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 computer and information sciences internet
- natural sciences mathematics applied mathematics dynamical systems
- medical and health sciences clinical medicine oncology
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
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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.
FP6-2002-MOBILITY-6
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.
OIF - Marie Curie actions-Outgoing International Fellowships
Coordinator
LODZ
Poland
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.