Objective
The Riemann-Hilbert problem (RHP) has a long and impressive history going back to Riemann's dissertation (1851) and Hilbert's related results at the beginning of the 20th century. The RHP, which can be described as a problem of finding an analytic function in the complex plane with a prescribed jump across a given curve, is closely connected to one-dimensional singular integral operators, convolution operators, Toeplitz operators, and Wiener-Hopf operators. A great deal of the importance of the RHP these days is due to its use in random matrix theory, orthogonal polynomials (OPs) and integrable systems. Random matrix theory (RMT) has its origins in the 1920s in mathematical statistics and in the 1950s in the works of Wigner, Dyson and Mehta on the spectra of highly excited nuclei. Since then the subject has developed fast and found applications in many branches of mathematics and physics, ranging from quantum field theory to statistical mechanics, integrable systems, number theory, statistics, and probability. We aim to study asymptotic problems for OPs by means of Toeplitz and Hankel determinants with several classes of symbols; compute and quantify the entropy of entanglement; deal with the moments of families of L-functions and in particular derive conjectures for their non-integer moments with all terms in asymptotics; and investigate the density of the roots of the derivative of certain characteristic polynomials in order to gain better understanding of the horizontal distribution of the zeros of the derivative of the zeta function. Our approach will be based on the use of powerful Riemann-Hilbert methods, computation of asymptotics of Toeplitz and Hankel determinants, analytic number theory, and numerical studies. Our proposal aims to provide the fellow with competencies to conduct research in areas different from his previous research, reinforce his previous experience and expand knowledge between the Courant Institute and the Bristol RMT group.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- humanities history and archaeology history
- natural sciences physical sciences quantum physics quantum field theory
- natural sciences physical sciences classical mechanics statistical mechanics
- natural sciences mathematics pure mathematics arithmetics L-functions
You need to log in or register to use this function
We are sorry... an unexpected error occurred during execution.
You need to be authenticated. Your session might have expired.
Thank you for your feedback. You will soon receive an email to confirm the submission. If you have selected to be notified about the reporting status, you will also be contacted when the reporting status will change.
Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-2007-4-1-IOF
See other projects for this call
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
BS8 1QU BRISTOL
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.