Objective
Two great developments took place in the field of Orthogonal Polynomials (OP) in the last years. The first one based on the Riemann-Hilbert approach developed by the Courant group Deift,... It is well established now in the EU community thanks to Kriecherb auer, Kuijlaars, Van Assche... However it is opposite what concerns the second development: the sum rule method presented in [Killip, Simon, Ann. of Math., 2003]. Our main objective is to develop a general theory for OP beyond the Szego-class based on the sum rule approach; to apply the results in Inverse Scattering, Integrable Systems, Numerical Analysis.
The project should overcome the mentioned EU lag to a great extent and encourage young mathematicians to do research in this promising topic. Another objective deals with a longstanding problem on limit periodicity of Jacobi matrices associated with measures on Julia sets. Ruelle operators and related concepts in OP form a rather open field of investigation. New technical and structural ideas might lead to astonishing developments. The applicant has an experience of a very fruitful collaboration with Prof. Peherstorfer (scientist in charge); their joint results are among the best in the field. His joint work with Volberg (MSU) on inverse scattering, with Bellissard, Geronimo on OP associated with iterations form an essential background for a successful realization of the project.
To this end the Linz University is most likely one of the best places: the project has several different components and at al l of them Peherstorfer is a highly recognized expert. This, as well as the presence of strong groups of Functional and Numerical Analysis at the University produces an extra ordinary opportunity for the further scientific grow of the applicant. Realization of the project will reinforce also the scientific excellence of the community via the knowledge transfer, e.g. the applicant will deliver the newest powerful methods of Harmonic Analysis elaborated at MSU.
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.
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-7
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.
IIF - Marie Curie actions-Incoming International Fellowships
Coordinator
LINZ
Austria
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.