Community Research and Development Information Service - CORDIS

Horizon 2020 project information and now also report summaries are available on CORDIS. All H2020 projects can be downloaded from the EU Open Data Portal .

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Final Report Summary - RESTRICTION (Restriction of the Fourier transform with applications to the Schrödinger and wave equations)
Electrical impedance tomography was shown to be founded in theoretically viable mathematics, provided that the objects that are being imaged are not too rough. This solved a conjecture made in the International Congress of Mathematicians in 1998. A number of inequalities were...
Programme: FP7-IDEAS-ERC
Record Number: 214017
Last updated on: 2018-01-15
Final Report Summary - LOCALSTRUCTURE (Local Structure of Sets, Measures and Currents)
The focus of the project has been on studying local behaviour of sets, functions and measure-theoretical objects with the view of establishing, or showing impossibility, of modern developments in the line of research started by the crucial results from the dawn of modern...
Programme: FP7-IDEAS-ERC
Record Number: 214047
Last updated on: 2018-01-15
Final Report Summary - SAW (Symplectic Aspects of Weak KAM theory.)
The goal of the project was to to study Symplectic Aspects of Weak kam theory. One of the motivation for such a program was to understand to what extent this theory could possibly be extended to some classes of non convex Hamiltonian. Another motivation was to be able to use...
Programme: FP7-IDEAS-ERC
Record Number: 214042
Last updated on: 2018-01-15
Final Report Summary - RAM (Regularity theory for area minimizing currents)
The Plateau's problem, named after the Belgian physicist J. Plateau, is a classic in the calculus of variations and regards minimizing the area among all surfaces spanning a given contour. Although Plateau's original concern were $2$-dimensional surfaces in the $3$-dimensional...
Programme: FP7-IDEAS-ERC
Record Number: 212928
Last updated on: 2017-12-18
Final Report Summary - BRIDGES (Bridging Non-Equilibrium Problems: From the Fourier Law to Gene Expression)
There is, seemingly, a big gap between the language of mathematics, and the questions in humanities and biology. The aim of this ERC project was to work towards a possible connection between these two realms. Within the limits of time, this project has contributed to progress...
Programme: FP7-IDEAS-ERC
Record Number: 208654
Last updated on: 2017-11-16
Final Report Summary - BLOWDISOL (BLOW UP, DISPERSION AND SOLITONS)
This project deals with the mathematical analysis of several universal models of Physics such as the nonlinear Schrodinger equation, the nonlinear wave equation, the generalized Korteweg-de Vries equation and related geometric problems. We focus on models where no special...
Programme: FP7-IDEAS-ERC
Record Number: 208528
Last updated on: 2017-11-16
Final Report Summary - CRAMIS (Critical phenomena in random matrix theory and integrable systems)
The objective of the project was to describe critical phenomena which occur in random matrix theory, integrable partial differential equations and Toeplitz determinants. Solutions of Painlevé equations play an important and universal role in the description of these critical...
Programme: FP7-IDEAS-ERC
Record Number: 204322
Last updated on: 2017-10-24
Final Report Summary - LTDBUD (Low Dimensional Topology in Budapest)
In the project we have delt with various aspects of low dimensional topology; below we list selected results from the main directions of research. Contact Topology. An important and hot research direction in manifold topology is to find further geometric strucutures on...
Programme: FP7-IDEAS-ERC
Record Number: 204292
Last updated on: 2017-10-24
Final Report Summary - ENTROPHASE (Entropy formulation of evolutionary phase transitions)
The Project Entrophase was meant to introduce a new notion of solution, called ``entropic solution'' which could be useful for a better mathematical description of several applications to industry, physics, chemistry and biology. This purpose has been attained in different...
Programme: FP7-IDEAS-ERC
Record Number: 202667
Last updated on: 2017-08-16
Final Report Summary - SIMPLELCGPS (Simple locally compact groups: exploring the boundaries of the linear world)
The theory of locally compact groups stretches out between two antipodes: on one hand, connected groups whose structure, according to the solution to Hilbert 5fth problem, is governed by Lie theory and is thus relatively rigid, and on the other hand, discrete groups, which are...
Programme: FP7-IDEAS-ERC
Record Number: 202700
Last updated on: 2017-08-16
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List retrieved on: 2018-01-23
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