Objective
"The analysis of thin branched structures has become very popular in Mathematical Physics during recent years. One reason is the increasing technological feasability of manufacturing nano-structures at an atomic level, making a detailed quantum mechanical analysis of the problem necessary. Thin branched structures occur e.g. in
micro-electronics or in opto-electronics; and a theoretical analysis is necessary in order to understand the behaviour of such media or to engeneer materials with certain properties. One is for example interested whether a material conducts or transmits light or not, e.g. semi-conductors or photonic crystals. The project aims in a mathematical analysis of thin branched structures providing a large class of (at least approximatively) solvable models.
One goal of the project is to what extend thin branched structures can be understood by their decomposition into simple building blocks according to the underlying network structure. By this decoupling method, we want to tackle open problems in Mathematical Physics like the extended states conjecture, i.e. the
question whether a randomly perturbed periodic medium still allows transport for small perturbations. Another goal of the project is the question whether thin branched structures and their properties can approximately be described by the pure one-dimenional limit, the underlying network structure.
Olaf Post, the researcher of the proposal, is an expert on the theory of thin branched structures in the zero-thickness limit. Marco Marletta, the scientist in charge, is a recognized top-level specialist in the mathematical analysis of partial differential operators and their spectral properties and in operator theory. Our project brings together these two very active areas of Mathematics, and aims in providing concrete mathematical models which are useful in engineering nano-structure devices."
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 applied mathematics mathematical physics
- natural sciences mathematics pure mathematics mathematical analysis
- natural sciences mathematics applied mathematics mathematical model
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Programme(s)
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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
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-2010-IEF
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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
CF10 3AT CARDIFF
United Kingdom
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.