Difference between revisions of "Functional inequalities"

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== General ==  
 
== General ==  
 
Boolean functions are, as their name suggests, functions, and many types of results from functional analysis and geometry carry over to the Boolean setting. That is, it is possible to relate between various integrals, derivatives and evaluations of the functions, resulting in a functional inequality.  
 
Boolean functions are, as their name suggests, functions, and many types of results from functional analysis and geometry carry over to the Boolean setting. That is, it is possible to relate between various integrals, derivatives and evaluations of the functions, resulting in a functional inequality.  
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== Isoperimetric inequality ==
  
 
== KKL ==
 
== KKL ==

Revision as of 09:48, 15 November 2019

General

Boolean functions are, as their name suggests, functions, and many types of results from functional analysis and geometry carry over to the Boolean setting. That is, it is possible to relate between various integrals, derivatives and evaluations of the functions, resulting in a functional inequality.

Isoperimetric inequality

KKL

TODO

Talagrand's influence inequality

TODO

Talagrands surface area inequality conjecture

TODO