Corentin Correia

Institut de Mathématiques de Jussieu–Paris Rive Gauche (IMJ-PRG)

Université Paris-Cité
8, place Aurélie Nemours
Bâtiment Sophie Germain
75205 Paris cedex 13

Office: 746
Mail: corentin.correia  @  imj-prg.fr

I am a PhD student at IMJ-PRG in the Operator Algebra team, under the supervision of François Le Maître and Romain Tessera.

I am interested in quantitative orbit equivalence.

Keywords : Ergodic theory, odometers, ☢ odomutants ☢ , rank-one systems, entropy, Kakutani equivalence, amenable groups.

My CV.

Teaching

• Exercise sessions on probabilities
  • 2024-2025 (1st semester): L3 MIASHS
• Exercise sessions on statistics
  • 2024-2025 (2nd semester): L3 Maths
  • 2023-2024 (2nd semester): L3 MIASHS
• Practice sessions on data sciences
  • 2023-2024 (2nd semester): L3 MIASHS

Publications and preprints

• On the absence of quantitatively critical measure equivalence couplings (2024)
  arXiv
• Rank-One Systems, Flexible Classes and Shannon Orbit Equivalence,
  Ergodic Theory and Dynamical Systems, pages 1–51 (2024)
  DOI, arXiv
• Cluster distributions for dynamically defined point processes,
  with Ana Cristina Moreira Freitas and Jorge Milhazes Freitas,
  Physica D : Nonlinear Phenomena, 457, 133968 (2024)
  DOI

Activities

• Co-organizer (with Vincent Dumoncel) of the working group "Geometric group theory and its coarse neighbourhood"
• Since 2024: Co-organizer of the "Bourbakette" (informal seminar for PhD students at IMJ-PRG)
• 2023 & 2024: Co-organizer of a meeting between M2 and PhD students at IMJ-PRG

Talks

• 13-12-2024: Conference "Arbre de Noël 2024 en Géométrie Non Commutative" (Orléans, France)
• 05-11-2024: PhD seminar (Angers, France)
• 10-09-2024: Seminar SymPA, LAMFA (Amiens, France)
• 11-07-2024: Workshop "Orbit equivalence" (Besse-en-Chandesse, France)
• 04-06-2024: Conference "Groups, Languages, and Random Walks" (Cortona, Italy)
  Slides
• 16-05-2024: Conference "Dynamics on zero-dimensional spaces: new connections" (Leiden, Netherlands)
• 02-05-2024: Seminar Operator algebra, IMJ-PRG (Paris, France)
• 15-02-2024: PhD seminar, IMJ-PRG (Paris, France)
• 29-01-2024: Seminar Groups and actions (Orsay, France)

Notes

• These notes have been written to complete my talks in the working group on ergodic theory:
  • Notes presenting a state of the art in quantitative orbit equivalence, and some details about my recent work on odomutants (with an appendix about basics in ergodic theory)
  • Introduction to Kakutani equivalence
  • Notes (in french) on Kerr and Li's theorem ("entropy is preserved under Shannon orbit equivalence") in the case of p.m.p. ℤ-actions
• Here you can find my master thesis (in french) about Shannon orbit equivalence, supervised by François Le Maître. It contains an overview about orbit equivalence and some dynamical systems such as rank-one systems and more particularly odometers.