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A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit

Connections for Women on Optimal Transport: Geometry and Dynamics August 22, 2013 - August 23, 2013

August 23, 2013 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Maria Westdickenberg (RWTH Aachen)
Location: MSRI: Simons Auditorium
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Abstract In this introductory talk we consider logarithmic Sobolev inequalities (LSI) and their relationship with the Poincare and Talagrand inequalities. We review the well-known Holley-Stroock and Bakry-Emery conditions for LSI. Finally, we explain the idea behind the two-scale method for LSI (see Grunewald-Otto-Villani-W.). If time permits, we will also discuss the two-scale method for the hydrodynamic limit
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