Objective
"The proposed research is focused on zero sets of random functions.
This is a rapidly growing area that lies at the crossroads of analysis,
probability theory and mathematical physics. Various instances of zero
sets of random functions have been used to model different phenomena
in quantum chaos, complex analysis, real algebraic geometry, and
theory of random point processes.
The proposal consists of three parts. The first one deals with asymptotic
topology of zero sets of smooth random functions of several real variables.
This can be viewed as a statistical counterpart of the first half of Hilbert's 16th
problem. At the same time, it is closely related to percolation theory.
In the second and third parts, we turn to zero sets of random analytic functions
of one complex variable. The zero sets studied in the second part provide one
of few natural instances of a homogeneous point process with suppressed
fluctuations and strong short-range interactions. These point processes have
many features, which are in striking contrast with the ones of the Poisson point
process. One of these features is the coexistence of different Gaussian scaling
limits for different linear statistics.
The third part deals with zeroes of Taylor series with random and pseudo-random
coefficients. Studying these zero sets should shed light on the relation between
the distribution of coefficients of a Taylor series and the distribution of its zeroes,
which is still ""terra incognita'' of classical complex analysis."
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.
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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.
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H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC)
MAIN PROGRAMME
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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.
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.
ERC-ADG - Advanced Grant
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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.
(opens in new window) ERC-2015-AdG
See all projects funded under this callHost institution
Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
69978 Tel Aviv
Israel
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.