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SUMMARY:Rigidity of Random Point Configurations
DTSTART:20260416T120000Z
DTEND:20260416T140000Z
DTSTAMP:20260412T032300Z
UID:indico-event-16341@indico.math.cnrs.fr
DESCRIPTION:Speakers: Rafaël Digneaux (Université de Lille)\n\nA point c
 onfiguration is a discrete set of points\, living in a space\, such as R\,
  C\, or R^d. There are several ways to generate point configurations\, (1)
  zeros of polynomial or holomorphic functions\; (2) eigenvalues of matrice
 s\; (3) configurations minimizing certain energies. (Among others!)These c
 onfigurations become random as soon as randomness is introduced (obviously
 ). For instance\, one may consider random coefficients in (1) or (2)\, or 
 introduce a strictly positive temperature T in (3) (leading to Boltzmann o
 r Gibbs measures in statistical physics).One may also choose several point
 s independently and uniformly in a given compact set. In that case\, there
  is no interaction between points: two of them can be arbitrarily close. T
 he three models described above behave very differently and distribute poi
 nts much more homogeneously in space. They naturally exhibit properties of
  repulsion and rigidity.My PhD thesis deals with the rigidity of models of
  type (3)\, involving energies with long-range pairwise interactions.\n\nh
 ttps://indico.math.cnrs.fr/event/16341/
LOCATION:Johnson (1R3 - 1st floor)
URL:https://indico.math.cnrs.fr/event/16341/
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