Heat flow on the cube: From Enflo to Talagrand

Speaker(s)

Ioannis Kavvadias

Affiliation

University of Warsaw

Language of the talk

English

Date

Feb. 26, 2026, 12:15 p.m.

Room

room 3160

Title in Polish

Heat flow on the cube: From Enflo to Talagrand

Seminar

Seminar of Probability Group

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We prove a dimension-free analogue of Pisier's inequality on the discrete cube due to Ivanisvili/ van Handel/ Volberg that resolved a conjecture of Enflo. Moreover, we use their results to recover a variant of a theorem due to Eldan/ Gross for Boolean functions. Throughout the talk, counterparts to the Gaussian setting will be highlighted. 

References: 

1) Rademacher type and Enflo type coincide. Ivanisvili/ van Handel/ Volberg arXiv:  2003.06345

2) On the Eldan-Gross inequality. Ivanisvili/ Zhang arXiv:  2407.17864

3)  Ramon van Handel's Remarks on the Discrete Cube (lecture notes by G. Rosenthal)

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