Journée Analyse et Probabilité

The conference will take place in the Salle 2 in the building A33 of the Institute of Mathematics of Bordeaux. The habilitation à diriger les recherches will take place in the salle de conférence.

• Program:

  • 09h00: Anton Thalmaier (University of Luxembourg): Brownian motion and Ricci curvature in sub-Riemannian geometry. slides
    The goal of sub-Riemannian geometry is the investigation of geometric structures induced intrinsically by the sub-Riemannian data. We describe recent work related to the concept of "horizontal Ricci curvature". Our approach relies on a study of sub-Riemannian Brownian motions and stochastic analysis on path space over sub-Riemannian manifolds. Analogously to the work of Aaron Naber (2015) we show that certain functional inequalities and gradient estimates on path space are equivalent to boundedness of the horizontal Ricci tensor.
  • 10h00: Nathael Gozlan (Université Paris Descartes / Université de Paris): Weak optimal transport and applications to Caffarelli contraction theorem. slides
    The talk will deal with a variant of the optimal transport problem, introduced in a joint work with C. Roberto, P-M Samson and P. Tetali, where elementary mass transports are penalized through their barycenters. The talk will in particular focus on a recent result obtained in collaboration with N. Juillet describing optimal transport plans for the quadratic barycentric cost. A direct corollary of this result gives a new necessary and sufficient condition for the Brenier map to be 1-Lipschitz. Finally we will present a recent work in collaboration with M. Fathi and M. Prodhomme, where this contractivity criterion is used to give a new proof of the celebrated Caffarelli contraction theorem, telling that any probability measure having a log-concave density with respect to the standard Gaussian measure is a contraction of it.
  • 10h50: Break
  • 11H15: El Maati Ouhabaz (Université de Bordeaux): Bernstein inequalities via the heat semigroup. slides
    We discuss extensions of the classical Bernstein inequality to a general setting including Schrödinger operators and divergence form elliptic operators on Riemannian manifolds or domains. We also show a new reverse inequality. The heat kernel will be the backbone of our approach but we also develop new techniques such as semi-classical Bernstein inequalities, weak factorization of smooth functions à la Dixmier-Malliavin and BMO − L1 multiplier results (in contrast to the usual L1 − BMO ones). Our approach reveals a link between the Lp-Bernstein inequality and the boundedness on Lp of the Riesz transform. The later being an important subject in harmonic analysis (this is a joint work with Rafik Imekraz, Univ. Bordeaux).
  • 12h15: Lunch break
  • 14h00: Habilitation à diriger les recherches de Michel Bonnefont (Université de Bordeaux). slides

• Registration:

  For organization purposes and the lunch break, we kindly ask you to register by sending an e-mail to sylvain.golenia AT math.u-bordeaux.fr.

   

  The registration is free and the deadline is on November 15 2019.

   

  Registration form (to copy paste in the email):

  Name: Firstname: Electronic adress: Institution: Position (Doctorant, post-doctorant, Mcf...): Do you ask for a financial support for the travel or the hotel? (the priority is given to PhD students and young researchers) Nota bene: The participants, which do not benefit from our financial support, are kindly asked to book their hotel by themself.

• Hotels:

  The participants, which do not benefit from our financial support, have to book their hotel by themself.

  • Ténéo Talence
    8, allée du 7ème art | 33700 Talence
    TEL: +33 (0)5 57 35 76 00
    FAX: +33 (0)5 56 37 98 65
    E-mail: talence@teneo.fr
    
  • Ténéo Bordeaux
    4, Cours Barbey | 33800 BORDEAUX
    TEL : +33 (0)5 56 33 22 00
    FAX: +33 (0)5 56 33 22 11
    E-mail: bordeaux@teneo.fr
    
  • Ténéo Apparthotel Bordeaux Saint-Jean
    4, cours Barbey | 33800 Bordeaux
    TEL : +33 (0)5 56 33 22 00
    FAX : +33 (0)5 56 33 22 11
    E-mail : bordeaux@teneo.fr
    
  • Ténéo Apparthotel Talence Arthena
    8, allée du 7eme Art | 33400 Talence
    TEL : +33 (0)5 57 01 10 10
    E-mail : arthena@teneo.fr
    
  • Ténéo Apparthotel Talence Espeleta
    4, avenue Espeleta | 33400 Talence
    TEL. : +33 (0)5 57 00 77 77
    FAX : +33 (0)5 56 50 41 27
    E-mail : espeleta@teneo.fr
    
  • Appart'hotel Victoria Garden
    127, Cours de la Somme | 33800 Bordeaux
    TEL: 05 56 33 48 48
    WEB: http://www.victoriagarden.com/hotels/victoria-garden-bordeaux/
    
  • Appart'City Bordeaux Centre - Appart Hôtel
    36, Rue Général de Larminat, 33000 Bordeaux
    TEL: 05 56 10 10 50
    E-mail: appartcity.com
    WEB: http://www.appartcity.com/fr/appart-hotel/bordeaux-centre-a-bordeaux.html
    To go from the Hôtel to IMB : map here

• Ground transportation:

  (the same tram/bus ticket can be used 1 hour)
  • From the airport to downtown, Place de la Victoire, Gare Saint Jean, TENEO BORDEAUX :
    • liane 1 map here
    • Shuttle to Gare Saint Jean (direct) link here
  • From the airport to Talence, Peixotto terminus, TENEO TALENCE, PREVOST : two possibilities
    • liane 1 map here (stop at Lycées de Mérignac) + liane 35 map here (stop at Peixotto)
    • liane 1 map here (stop at Lycées de Mérignac) + tram A map here (stop at Hotel de Ville) + tram B map here (stop at Forum)
  • From Gare Saint Jean to IMB : two possibilities
    • liane 10 map here (stop at Peixotto)
    • liane 1 map here or liane 11 map here (stop at Place de la Victoire) or walk 10 mn + tram B map here (stop at Forum)
  • From Gare Saint Jean to Appart'City Bordeaux Centre :
    • liane 9 map here (stop at Barrière Saint-Augustin)
  • From Appart'City Bordeaux Centre to IMB :
    • liane 9 map here from Barrière Saint-Augustin to Barrière Saint Genès then tram B map here (stop at Forum)
  • Tram et bus de la CUB : link here
  • Institut de Mathématiques de Bordeaux : map here or map here

• Organization:

  Michel Bonnefont, Sylvain Golénia

• Financial support:

  • GDR AFHP, ANR RAGE and