Pattern formation, energy landscapes, and scaling laws

Head:
Felix Otto

Contact: Email
Phone:
+49 (0) 341 - 9959 - 950

Secretary:
Katja Heid (née Bieling)

Contact: Email
Phone:
+49 (0) 341 - 9959 - 951
Fax:
+49 (0) 341 - 9959 - 585

Address:
Inselstr. 22
04103 Leipzig

 

Logarithmic Sobolev Inequality

  1. Georg Menz and Felix Otto.
    Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential.
    MPI MIS Preprint 5/2011, accepted by Ann. Probab.

  2. Natalie Grunewald, Felix Otto, Cédric Villani, and Maria G. Westdickenberg.
    A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit.
    Ann. Inst. H. Poincare, 45(2):302-351, 2009.
    download (PDF, 529 kbyte)

  3. Felix Otto and Maria G. Reznikoff.
    A new criterion for the logarithmic Sobolev inequality and two applications.
    J. Funct. Anal., 243(1):121-157, 2007.
    download (PDF, 281 kbyte)

  4. Felix Otto and Cédric Villani.
    Comment on: Hypercontractivity of Hamilton-Jacobi equations [J. Math. Pures Appl. (9) 80 (2001), no. 7, 669-696; MR 2003b:47073] by S. G. Bobkov, I. Gentil and M. Ledoux.
    J. Math. Pures Appl. (9), 80(7):697-700, 2001.

  5. F. Otto and C. Villani.
    Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality.
    J. Funct. Anal., 173(2):361-400, 2000.
    download (PS, 371 kbyte)
17.04.2013, 15:10