raphael.lachieze-rey@math.cnrs.fr
Researcher at INRIA Paris in the DYOGENE Team / Laboratoire MAP5 at the Université Paris Cité .
Member of the CNRS research group GDR GEOSTO
Point processes, hyperuniformity and rigidity
Limit theorems in Stochastic Geometry
Random fields, excursions and nodal sets
Adélie Erard, PhD student, 2023 -
Loïc Thomassey, PhD student, 2021 -
Diala Hawat, PhD student, 2020 -
Safa Ladgham,PhD student, 2018 - 2022, manuscrit
with Ilya Molchanov,
Regularity
conditions in the realisability problem in applications to point
processes and random closed sets
, 2015,
[arXiv]
Annals of Applied Probability , Volume 25, Number 1 (2015), 116-149.
Realisability conditions for second order marginals of biphased
media
, 2015,
[arXiv]
Random Structures and Algorithms,Volume47, Issue3
October 2015 ,
Pages 588-604.
with Giovanni Peccati,
Fine
Gaussian fluctuations on the Poisson space II: rescaled kernels,
marked processes and geometric U -statistics
, 2013,
[arXiv]
Stochastic Processes and their applications,
Volume 123, Issue 12, December 2013, Pages 4186-4218,
with Giovanni Peccati,
Fine Gaussian fluctuations on the Poisson space, I: contractions,
cumulants and geometric random graphss
, 2013,
Electronic Journal of Probability 18 (2013), no. 32, 1–32.
2013.
The convex class of
realisable unit covariances
, 2013,
[arXiv]
Concave
majorant of stochastic processes and Burgers turbulence
, 2012,
[arXiv]
Journal of Theoretical Probability,June 2012, Volume 25, Issue 2, pp 313–332
with Youri Davydov,
Rearrangements of Gaussian fields
, 2011,
[arXiv]
Stochastic processes
and their applications,Volume 121, Issue 11, November 2011, Pages 2606-2628
Mixing
properties for STIT tessellations
, 2011,
[arXiv]
Advances in Applied Probability
Volume 43, Number 1 (2011), 40-48.
Zéros des fonctions gaussiennes analytiques (présentation pour le GT Processus ponctuels répulsifs)
CLT for Poisson U-statistics: CLT for U-statistics in the Poisson chaos and applications to random graphs.
TCL pour U-statistiques Poissoniennes: TCL pour U-statistiques géométriques dans le chaos poissonien.
Realisability (eng, short version): Realisability problems with regularity conditions..
Realisability (fr): Problemes de realisabilité avec conditions de regularité.
Gaussian fields (fr): Réarrangements de champs gaussiens.
Gaussian fields (eng): Rearrangements of Gaussian fields.
PhD defense: Presentation, Université Lille 1.
STIT tessellations (english): Ergodicity of STIT tessellations.
STIT tessellations (francais): Ergodicité des mosaiques STIT.
Conférence pour TimeWorld 2021Quelles certitudes contient le hasard? (Centre National des Arts et Métiers): Vidéo Slides ici
Simulation de propagation de rumeur dans un réseau socialConférence pour la S.E.I.N:> Hasard, mesure et perception (avril 2021)
Vidéo
Slides SEIN
Visualisation interactive sur les illustres mathématiciens Français ou de tous les pays .