Explore the words cloud of the SPECTRUM project. It provides you a very rough idea of what is the project "SPECTRUM" about.
The following table provides information about the project.
Coordinator |
QUEEN MARY UNIVERSITY OF LONDON
Organization address contact info |
Coordinator Country | United Kingdom [UK] |
Total cost | 991˙750 € |
EC max contribution | 991˙750 € (100%) |
Programme |
1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC)) |
Code Call | ERC-2014-STG |
Funding Scheme | ERC-STG |
Starting year | 2015 |
Duration (year-month-day) | from 2015-06-01 to 2020-05-31 |
Take a look of project's partnership.
# | ||||
---|---|---|---|---|
1 | QUEEN MARY UNIVERSITY OF LONDON | UK (LONDON) | coordinator | 824˙853.00 |
2 | TEL AVIV UNIVERSITY | IL (TEL AVIV) | participant | 166˙896.00 |
The theme of this proposal is the study of random operators associated with some geometric structure, and the influence of the geometry on the spectral properties of the operator. Such operators appear in problems from theoretical physics, and lead to new and interesting mathematical structures. One circle of questions is related to random operators, which describe the motion of a quantum particle in a disordered medium, such as random band matrices. The behaviour of the particle is influenced by the underlying geometry, as quantified by the (non-rigorous) Thouless criterion for localisation in terms of the mixing time of the classical random walk; in the context of random band matrices, the predictions of the Thouless criterion are supported by additional (non-rigorous) arguments. These predictions have so far not been rigorously justified; an exception is my own result, validating it at the spectral edges. One of our goals is to develop new methods, which would be applicable in the bulk of the spectrum, for random band matrices and other operators with geometric structure. Another circle of questions is given by random processes taking values in large random matrices. The spectral properties of the random matrix at every point of the underlying space are described by the random matrix theory; but how does the spectrum evolve along the underlying space? The richness of this question is apparent from the one-dimensional case of Dyson Brownian motion. We intend to study the local eigenvalue statistics of general matrix-valued random processes with multi-dimensional underlying space; to give a complete description of the random processes which appear in the limit, first for the spectral edges and then for the bulk of the spectrum, and to explore the appearance of these processes in a variety of basic questions of mathematical physics.
year | authors and title | journal | last update |
---|---|---|---|
2018 |
Offer Kopelevitch A Convergent $$varvec{frac{1}{N}}$$ 1 N Expansion for GUE published pages: 3883-3899, ISSN: 1424-0637, DOI: 10.1007/s00023-018-0727-x |
Annales Henri Poincaré 19/12 | 2019-11-11 |
2018 |
Alexander Magazinov On Percolation of Two-Dimensional Hard Disks published pages: 1-43, ISSN: 0010-3616, DOI: 10.1007/s00220-018-3193-x |
Communications in Mathematical Physics 364/1 | 2019-11-11 |
2019 |
Martin Gebert A lower Wegner estimate and bounds on the spectral shift function for continuum random Schrödinger operators published pages: 108284, ISSN: 0022-1236, DOI: 10.1016/j.jfa.2019.108284 |
Journal of Functional Analysis 277/11 | 2019-11-11 |
2018 |
Ilya Goldsheid, Sasha Sodin Real eigenvalues in the non-Hermitian Anderson model published pages: 3075-3093, ISSN: 1050-5164, DOI: 10.1214/18-AAP1383 |
The Annals of Applied Probability 28/5 | 2019-11-11 |
2018 |
VADIM GORIN, SASHA SODIN The KPZ Equation and Moments of Random Matrices published pages: 286-296, ISSN: 1812-9471, DOI: 10.15407/mag14.03.286 |
Zurnal matematiceskoj fiziki, analiza, geometrii 14/3 | 2019-11-11 |
2018 |
Yuri Kifer, Sasha Sodin Nonconventional random matrix products published pages: , ISSN: 1083-589X, DOI: 10.1214/18-ECP140 |
Electronic Communications in Probability 23 | 2019-11-11 |
2019 |
Emilio Fedele, Martin Gebert On determinants identity minus Hankel matrix published pages: 751-764, ISSN: 0024-6093, DOI: 10.1112/blms.12271 |
Bulletin of the London Mathematical Society 51/4 | 2019-11-11 |
2017 |
Sasha Sodin Fluctuations of Interlacing Sequences published pages: 364-401, ISSN: 1812-9471, DOI: 10.15407/mag13.04.364 |
Zurnal matematiceskoj fiziki, analiza, geometrii 13/4 | 2019-05-28 |
2017 |
Michael Aizenman, Ron Peled, Jeffrey Schenker, Mira Shamis, Sasha Sodin Matrix regularizing effects of Gaussian perturbations published pages: 1750028, ISSN: 0219-1997, DOI: 10.1142/S0219199717500286 |
Communications in Contemporary Mathematics 19/03 | 2019-05-28 |
2017 |
Sasha Sodin ON THE CRITICAL POINTS OF RANDOM MATRIX CHARACTERISTIC POLYNOMIALS AND OF THE RIEMANN ξ-FUNCTION published pages: 1-28, ISSN: 0033-5606, DOI: 10.1093/qmath/hax033 |
The Quarterly Journal of Mathematics | 2019-05-28 |
2017 |
Ron Peled, Jeffrey Schenker, Mira Shamis, Sasha Sodin On the Wegner Orbital Model published pages: , ISSN: 1073-7928, DOI: 10.1093/imrn/rnx145 |
International Mathematics Research Notices | 2019-05-28 |
2016 |
In-Jee Jeong, Sasha Sodin A limit theorem for stochastically decaying partitions at the edge published pages: 1650016, ISSN: 2010-3263, DOI: 10.1142/S2010326316500167 |
Random Matrices: Theory and Applications 05/04 | 2019-05-27 |
Are you the coordinator (or a participant) of this project? Plaese send me more information about the "SPECTRUM" project.
For instance: the website url (it has not provided by EU-opendata yet), the logo, a more detailed description of the project (in plain text as a rtf file or a word file), some pictures (as picture files, not embedded into any word file), twitter account, linkedin page, etc.
Send me an email (fabio@fabiodisconzi.com) and I put them in your project's page as son as possible.
Thanks. And then put a link of this page into your project's website.
The information about "SPECTRUM" are provided by the European Opendata Portal: CORDIS opendata.