RandomZeroSets
Financiado
Zero sets of random functions
"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 f...
"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."
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Duración del proyecto: 88 meses
Fecha Inicio: 2016-05-03
Fecha Fin: 2023-09-30
Fecha Fin: 2023-09-30
Línea de financiación: concedida
El organismo H2020 notifico la concesión del proyecto el día 2023-09-30
Línea de financiación objetivo
El proyecto se financió a través de la siguiente ayuda:
ERC-ADG-2015:
ERC Advanced Grant
Cerrada
hace 9 años
Presupuesto
El presupuesto total del proyecto asciende a
2M€
Líder del proyecto
TEL AVIV UNIVERSITY
No se ha especificado una descripción o un objeto social para esta compañía.
Perfil tecnológico
TRL
4-5
Perfil tecnológico
TRL
4-5
390.39K€ |
Participante