Explore the words cloud of the RandomZeroSets project. It provides you a very rough idea of what is the project "RandomZeroSets" about.
The following table provides information about the project.
TEL AVIV UNIVERSITY
|Coordinator Country||Israel [IL]|
|Total cost||1˙658˙750 €|
|EC max contribution||1˙658˙750 € (100%)|
1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
|Duration (year-month-day)||from 2016-10-01 to 2021-09-30|
Take a look of project's partnership.
|1||TEL AVIV UNIVERSITY||IL (TEL AVIV)||coordinator||1˙658˙750.00|
'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.'
|year||authors and title||journal||last update|
Alexander Borichev, Mikhail Sodin, Benjamin Weiss
Spectra of stationary processes on Z
published pages: , ISSN: , DOI:
|50 Years with Hardy Spaces A Tribute to Victor Havin||2019-06-13|
Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure
published pages: 221-239, ISSN: 0003-486X, DOI: 10.4007/annals.2018.187.1.4
|Annals of Mathematics 187/1||2019-06-07|
Nodal sets of Laplace eigenfunctions: proof of Nadirashvili\'s conjecture and of the lower bound in Yau\'s conjecture
published pages: 241-262, ISSN: 0003-486X, DOI: 10.4007/annals.2018.187.1.5
|Annals of Mathematics 187/1||2019-06-06|
Measurably entire functions and their growth
published pages: 307-339, ISSN: 0021-2172, DOI: 10.1007/s11856-018-1800-3
|Israel Journal of Mathematics 229/1||2019-06-06|
Are you the coordinator (or a participant) of this project? Plaese send me more information about the "RANDOMZEROSETS" 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 (email@example.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 "RANDOMZEROSETS" are provided by the European Opendata Portal: CORDIS opendata.
The Memory of SolitonsRead More
A Theory-Oriented Real-Time Operating System for Temporally Sound Cyber-Physical SystemsRead More
Gaining insights into human evolution and disease prevention from adaptive natural selection driven by lethal epidemicsRead More