Explore the words cloud of the LogCorRM project. It provides you a very rough idea of what is the project "LogCorRM" about.
The following table provides information about the project.
THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
|Coordinator Country||United Kingdom [UK]|
|Total cost||1˙778˙516 €|
|EC max contribution||1˙778˙516 € (100%)|
1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
|Duration (year-month-day)||from 2017-09-01 to 2022-08-31|
Take a look of project's partnership.
|1||THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD||UK (OXFORD)||coordinator||1˙388˙878.00|
|2||UNIVERSITY OF BRISTOL||UK (BRISTOL)||participant||389˙637.00|
Random Matrix Theory has been of central importance in Mathematical Physics for over 50 years. It has deep connections with many other areas of Mathematics and a remarkably wide range of applications. In 2012, a new avenue of research was initiated linking Random Matrix Theory to the highly active area of Probability Theory concerned with the extreme values of logarithmically correlated Gaussian fields, such as the branching random walk and the two-dimensional Gaussian Free Field. This connects the extreme value statistics of the characteristic polynomials of random matrices asymptotically to those of the Gaussian fields in question, allowing some important and long-standing open questions to be addressed for the first time. It has led to a flurry of activity and significant progress towards proving some of the main conjectures. A remarkable discovery has been that the characteristic polynomials of random matrices exhibit, asymptotically, a hierarchical branching/tree structure like that of the branching random walk. However, many of the most important questions remain open. My aim is to attack some of these problems using ideas and techniques that have so far not been applied to them: I believe it is possible to compute some important statistical quantities relating to the extreme values of characteristic polynomials exactly, for the first time, by establishing connections with integrable systems, representation theory, and enumerative combinatorics. Such connections have not previously been explored. I anticipate that this will have a significant impact on an area that is currently in a rapid phase of development and that it will settle some of the principal unresolved conjectures. I further believe that ideas exploiting the hierarchical branching structure may have new and unexpected implications for areas connected with Random Matrix Theory, including, in particular, Number Theory, and I plan to explore these too.
|year||authors and title||journal||last update|
Ergodic Decomposition for Inverse Wishart Measures on Infinite Positive-Definite Matrices
published pages: , ISSN: 1815-0659, DOI: 10.3842/SIGMA.2019.067
|Symmetry, Integrability and Geometry: Methods and Applications||2020-04-03|
J P Keating, D J Smith
Twin prime correlations from the pair correlation of Riemann zeros
published pages: 365201, ISSN: 1751-8113, DOI: 10.1088/1751-8121/ab3521
|Journal of Physics A: Mathematical and Theoretical 52/36||2020-04-03|
On a gateway between the Laguerre process and dynamics on partitions
published pages: 1055, ISSN: 1980-0436, DOI: 10.30757/alea.v16-38
|Latin American Journal of Probability and Mathematical Statistics 16/2||2020-04-03|
Determinantal Structures in Space-Inhomogeneous Dynamics on Interlacing Arrays
published pages: 909-940, ISSN: 1424-0637, DOI: 10.1007/s00023-019-00881-5
|Annales Henri PoincarÃ© 21/3||2020-04-03|
Estelle Basor, Pavel Bleher, Robert Buckingham, Tamara Grava, Alexander Its, Elizabeth Its, Jonathan P Keating
A representation of joint moments of CUE characteristic polynomials in terms of PainlevÃ© functions
published pages: 4033-4078, ISSN: 0951-7715, DOI: 10.1088/1361-6544/ab28c7
Edva Roditty-Gershon, Chris Hall, Jonathan P. Keating
Variance of sums in arithmetic progressions of divisor functions associated with higher degree L-functions in q[t]
published pages: 1-18, ISSN: 1793-0421, DOI: 10.1142/s1793042120500529
|International Journal of Number Theory||2020-04-03|
Brian Conrey, Jonathan P. Keating
Moments of zeta and correlations of divisorâ€sums: V
published pages: 729-752, ISSN: 0024-6115, DOI: 10.1112/plms.12196
|Proceedings of the London Mathematical Society 118/4||2019-10-01|
E. C. Bailey, J. P. Keating
On the Moments of the Moments of the Characteristic Polynomials of Random Unitary Matrices
published pages: , ISSN: 0010-3616, DOI: 10.1007/s00220-019-03503-7
|Communications in Mathematical Physics||2019-10-01|
Chris Hall, Jonathan P. Keating, Edva Roditty-Gershon
Variance of arithmetic sums and L-functions inq[t]
published pages: 19-92, ISSN: 1937-0652, DOI: 10.2140/ant.2019.13.19
|Algebra & Number Theory 13/1||2019-09-17|
Yan V Fyodorov, Sven Gnutzmann, Jonathan P Keating
Extreme values of CUE characteristic polynomials: a numerical study
published pages: 464001, ISSN: 1751-8113, DOI: 10.1088/1751-8121/aae65a
|Journal of Physics A: Mathematical and Theoretical 51/46||2019-09-17|
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The information about "LOGCORRM" are provided by the European Opendata Portal: CORDIS opendata.
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