Resonances SIGNED
Resonances and Zeta Functions in Smooth Ergodic Theory and Geometry
Total Cost €
0EC-Contrib. €
0Partnership
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0Resonances project word cloud
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Project "Resonances" data sheet
The following table provides information about the project.
| Coordinator |
THE UNIVERSITY OF WARWICK
Organization address contact info |
| Coordinator Country | United Kingdom [UK] |
| Total cost | 1˙904˙305 € |
| EC max contribution | 1˙904˙305 € (100%) |
| Programme |
1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC)) |
| Code Call | ERC-2018-ADG |
| Funding Scheme | ERC-ADG |
| Starting year | 2019 |
| Duration (year-month-day) | from 2019-09-01 to 2024-08-31 |
Partnership
Take a look of project's partnership.
| # | ||||
|---|---|---|---|---|
| 1 | THE UNIVERSITY OF WARWICK | UK (COVENTRY) | coordinator | 1˙904˙305.00 |
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Project objective
The objective of this research project is to develop new and original methods to address a number of fundamental questions in the development of smooth ergodic theory and dynamical systems. Furthermore, this theory will have important and diverse applications to many different areas of mathematics (in particular geometry, but also number theory and topology).
The questions we are interested in are specifically related to the study of resonances, which characterise statistical properties of dynamical systems via the correlation function and the zeta function.
The generality of the approach draws heavily on the PI's experience with the ergodic theory of hyperbolic systems, an area of research in which the PI has played a leading role for many years, but the risk and ambition stems from the novelty and risk inherent in trying to apply new ideas.
There are three major strands to this work although they are bound together by interactions both at the level of the conclusions and the methodology.
(a) The first is the development of new methods for determining numerically basic characteristic values, which are theoretically poorly understood, for classical (``chaotic') hyperbolic systems. The important new development is a completely rigorous estimate on the approximation.
(b) The second main theme will be the establishment of a radically new theory of resonances and correlation functions for a broader classes of systems, for which there is presently no existing theory. Typically these examples arise in geometry, and will help advancing our understanding of problems in that area.
(c) The third main topic will be applications to specific major problems, particularly in hyperbolic geometry, and number theory.
A key ingredient in our approach is the blending of classical ideas from classical thermodynamic formalism with more progressive functional analytic techniques that continue to emerge.
Deliverables
| Data Management Plan | Open Research Data Pilot | 2020-03-11 14:45:06 |
Take a look to the deliverables list in detail: detailed list of Resonances deliverables.
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The information about "RESONANCES" are provided by the European Opendata Portal: CORDIS opendata.