Seminars and Colloquia by Series

TBD by Benjamin Lovitz

Series
Algebra Seminar
Time
Monday, April 22, 2024 - 13:00 for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Benjamin LovitzNortheastern University

TBA John Hoffman

Series
Analysis Seminar
Time
Wednesday, April 17, 2024 - 14:00 for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
John HoffmanFlorida State University

TBD by Ada Wang

Series
Algebra Seminar
Time
Monday, April 8, 2024 - 13:00 for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Ada WangHarvard University

Local vs Non-Local Poincar\'e Inequalities and Quantitative Exponential Concentration

Series
Stochastics Seminar
Time
Thursday, April 4, 2024 - 15:30 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Christian HoudréGeorgia Institute of Technology

Weighted Poincar\'e inequalities known for various laws such as the exponential or Cauchy ones are shown to follow from the "usual"  Poincar\'e inequality involving the non-local gradient.  A key ingredient in showing so is a covariance representation and Hardy's inequality.  

The framework under study is quite general and comprises infinitely divisible laws as well as some log-concave ones.  This same covariance representation is then used to obtain quantitative concentration inequalities of exponential type, recovering in particular the Gaussian results.  

Joint Work with Benjamin Arras.  

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