Dynamical Systems Seminar

 

Curve fragments, plan-modulus duality, and differentiability of Lipschitz functions

Speaker: Elefterios Soultanis (University of Warwick)

Time: Thursday, 2nd November 2023, 13:00-14:00

Place: Room MATH-210 (hybrid via Zoom)

 

Abstract: 

Rademacher's Theorem states that a Lipschitz function on Euclidean space is differentiable a.e. with respect to the Lebesgue measure. This statement is no longer true if we replace the Lebesgue measure with a singular measure. I will discuss a weaker form of differentiability, which remains true for singular measures, phrased in terms of curve fragments, i.e. (bi)-Lipschitz images of compact subsets of R. key ingredients in such weak differentiability results are decompositions of measures into curve fragments, and their duality with modulus.

Zoom: https://liverpool-ac-uk.zoom.us/j/94522522974?pwd=ejBHNSthSEd0ZHFiZzUvL1dLdEZDdz09

Meeting ID: 945 2252 2974

Passcode: Fatou_1926

 

You can find more information about the previous and future talks of this seminar at the following website: https://www.liverpool.ac.uk/mathematical-sciences/research/pure-mathematics/research/dynamical-systems/seminars/

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