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Mathematical works

"School" works (thesis etc.)

• First-year master's memoir: Marche aléatoire en milieu aléatoire [fr] (with Hendrik Weber; 2005; advisor: Thierry Bodineau).
• Second-year master's memoir: Une inégalité de Harnack [fr] (2006; advisor: Cédric Villani).
• Final master's memoir [fr].
• Ph.D. thesis: Quelques problèmes d'inspiration physique en théorie des probabilités [Some questions in probability theory viewed with a physical twist] (2010; advisor: Cédric Villani).

Articles published in scientific journals

Because of laws on copyright, unfortunately I cannot broadcast on the web the final versions of my articles as they were published by the journals —only my prepublications. However, I own a copy of the .pdf of these final publications: if you do not manage to get them online, you may write to me personally so that I send the files to you.

1. (2008) A probabilistic Approach to Carne's Bound.
   Potential Analysis n^o 29, pp. 17-36.
   prepublication — publication — BibTeX.


2. (2009) Some Ideas About Quantitative Convergence of Collision Models to Their Mean Field Limit.
   Journal of Statistical Physics n^o 136 (6), pp. 1105-1130.
   prepublication — publication — BibTeX.


3. (2013) Sharp Equivalence between ρ- and τ-mixing Coefficients.
   Studia Mathematica.
   prépublication — publication — BibTeX.


4. (2015) Fractional Brownian motion satisfies two-way crossing.
   To appear in Bernoulli.
   prépublication.

Preprints and works in progress

5. Tensorizing maximal decorrelations, 128 p.


6. Comparison between W² distance and Ḣ⁻¹ norm, and Localisation of Wasserstein distance, 14 p.


7. (with C. Czichowsky, W. Schachermayer and J. Yang) Shadow prices, fractional Brownian motion, and portfolio optimisation under transaction costs, 23 p.

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