Department of Mathematics

Analysis and PDE

  •  Alexander Volberg, MSU
  •  Improving L^1 Poincar\'e inequality on Hamming cube
  •  11/28/2018
  •  4:10 PM - 5:00 PM
  •  C517 Wells Hall

L^1 Poincar\'e inequality on hypercube is related to many interesting questions in random graph theory (like Margoulis graph connectivity theorem, e.g.). The sharp constant is unknown, but I will show how to improve the previously known constant \pi/2 obtained by Ben Efraim and Lust--Piquard by using non-commutative harmonic analysis. The approach will be probabilistic and luckily commutative. For Gaussian space the constant is known, it is \sqrt{\pi/2}, and the short proof belong to Maurey--Pisier.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science