Postdoctoral Researcher, Carnegie Mellon University (hosted by Prasad Tetali).
Ph.D., Université Gustave Eiffel (Paris-Est) with Paul-Marie Samson & Matthieu Fradelizi.
Master 2 in Mathematics and Applications, Université Paris Dauphine – PSL.
B.Sc. in Mathematical Engineering, Universidad de Chile.

Portrait of Martin Rapaport

Research interests

Convexity · Optimal Transport · Discrete Analysis

Publications & Preprints

Entropic versions of Bergström’s and Bonnesen’s inequalities
(with Matthieu Fradelizi and Lampros Gavalakis).
arXiv preprint arXiv:2501.10309 [cs.IT, math.FA], submitted (2025).
A conference version appeared as A Dimensional Improvement of the Entropy Power Inequality under Marginal Assumptions, in the Proceedings of the 2025 IEEE International Symposium on Information Theory (ISIT), Ann Arbor, MI, USA, 2025, pp. 1–6.
[arXiv PDF] [ISIT PDF]


On the monotonicity of discrete entropy for log-concave random vectors on ℤd
(with Matthieu Fradelizi and Lampros Gavalakis).
arXiv preprint arXiv:2401.15462 [math.PR, cs.IT], under revision (2024).
A conference version appeared as Dimensional discrete entropy power inequalities for log-concave random vectors, in the Proceedings of the 2024 IEEE International Symposium on Information Theory (ISIT), Athens, Greece, pp. 3582–3587, IEEE, 2024.
[arXiv PDF] [ISIT PDF]


Criteria for entropic curvature on graph spaces
(with Paul-Marie Samson).
arXiv preprint arXiv:2303.15874 [math.PR, math.FA, math.MG], under revision (2024).
[PDF]

Teaching

Carnegie Mellon University (2024–present)

  • Instructor: Probability (21-325)
  • Instructor: Linear Algebra (21-341)

Université Gustave Eiffel (2020–2024)

Teaching Assistant (Chargé de TD)

Semester 1 (2020–2021)

  • Sequences and Series (L2)
  • Statistics (L1)

Semester 2 (2020–2021)

  • Statistics (L1)

Semester 1 (2021–2022)

  • Methodology (L1)
  • Sequences and Series (L2)
  • Statistics (L1)

Curriculum Vitae

Academic Background and Appointments

A complete version of my CV can be found here: Download CV (PDF).

Academic Appointments

Scholarships and Awards

Education

Languages

Contact

Email: mrapapor@andrew.cmu.edu
Office: Wean Hall 8124
Affiliation: Department of Mathematical Sciences, Carnegie Mellon University

Portrait of Martin Rapaport