Results 1 - 10 of 21
[REPORT SUMMARY] Final Report Summary - POTENTIALTHEORY (Potential theoretic methods in approximation and orthogonal polynomials)
Potential theory has its roots in physics, but has emerged as a separate mathematical discipline in the first half of the last century. The present proposal has been basic research in theoretical mathematics, it is aimed at developing potential theoretical tools that can be...
Programme: FP7-IDEAS-ERC
Record Number: 196814
Last updated on: 2017-04-06
[PROJECT] POTENTIALTHEORY - Potential theoretic methods in approximation and orthogonal polynomials
ID: 267055
Start date: 2011-01-01, End date: 2016-12-31
The project is aimed at systematic applications of potential theoretical methods in approximation theory and in the theory of orthogonal polynomials. Various open problems are proposed in different fields which can be attacked with tools that have been developed in the near p...
Programme: FP7-IDEAS-ERC
Record Number: 97564
Last updated on: 2017-06-26
Using the grant we initiated a postdoctoral program in 'Low dimensional topology', and hired two postdoctoral researchers every year. Recently we extended the program for more senior researchers, hence we gradually built up a strong group of mathematicians all working in...
Programme: FP7-IDEAS-ERC
Record Number: 179588
Last updated on: 2016-04-26
[REPORT SUMMARY] Final Report Summary - DISCRETECONT (From discrete to contimuous: understanding discrete structures through continuous approximation)
In the last decade it became apparent that a large number of the most interesting structures and phenomena of the world can be described by networks, which are often huge: the internet, the brain, the society, the proteins of an animal. To understand the behavior of the whole...
Programme: FP7-IDEAS-ERC
Record Number: 179527
Last updated on: 2016-03-11
[REPORT SUMMARY] Mid-Term Report Summary 2 - DISCONV (DISCRETE AND CONVEX GEOMETRY: CHALLENGES, METHODS, APPLICATIONS)
In the first half of the project DISCONV several important results were achieved, most of them are in the direction set out in the original proposal. The Micro- and Mini-Workshops have proved to be extremely useful, and very productive. They provide an excellent research...
Programme: FP7-IDEAS-ERC
Record Number: 180698
Last updated on: 2016-03-29
[REPORT SUMMARY] Mid-Term Report Summary - STRUCLIM (Limits of discrete structures)
The goal of the StrucLim research project is the development of a mathematical theory which studies the large scale (approximative) behaviour of very large structures. Examples of such structures include social networks, neural networks, large data sets, fractals and...
Programme: FP7-IDEAS-ERC
Record Number: 191614
Last updated on: 2016-11-21
[REPORT SUMMARY] Mid-Term Report Summary - REGULARITY (Regularity and Irregularity in Combinatorics and Number Theory)
Graphs and hypergraphs are the most basic concepts in Combinatorics. They have application in a wide range of Mathematics and Computer Science and also in other sciences. Some of the basic notions in graph theory are the notion of a tree and a Hamiltonian path (or cycle). A...
Programme: FP7-IDEAS-ERC
Record Number: 178483
Last updated on: 2016-05-03
[PROJECT] StrucLim - Limits of discrete structures
ID: 617747
Start date: 2014-02-01, End date: 2019-01-31
Built on decades of deep research in ergodic theory, Szemeredi's regularity theory and statistical physics, a new subject is emerging whose goal is to study convergence and limits of various structures. The main idea is to regard very large structures in combinatorics and alg...
Programme: FP7-IDEAS-ERC
Record Number: 192415
Last updated on: 2016-03-31
[PROJECT] Finite and Infinite Combinatorics
ID: HPCF-CT-2000-00419-01
Start date: 2001-01-05, End date: 2001-01-09
Finite Combinatorics, or Discrete Mathematics is a very fastly developing area in mathematics. It has many ties with Computer Science. The following branches will be emphasized: graph theory, extremal problems in combinatorics (graphs and hypergraphs), combinatorial optimizati...
Programme: FP5-HUMAN POTENTIAL
Record Number: 59657
Last updated on: 2002-11-05
[PROJECT] DISCRETECONT - From discrete to contimuous: understanding discrete structures through continuous approximation
ID: 227701
Start date: 2009-01-01, End date: 2014-06-30
Important methods and results in discrete mathematics arise from the interaction between discrete mathematics and ``continuous'' areas like analysis or geometry. Classical examples of this include topological methods, linear and semidefinite optimization generating functions ...
Programme: FP7-IDEAS-ERC
Record Number: 89281
Last updated on: 2017-05-25
List retrieved on: 2017-08-02
