Analysis and Mathematical Physics
Hölder Maps Under Distributional Constraints
There are many example of (Hölder)-continuous functions with a.e. vanishing derivative which are non-constant, e.g. the Devil's staircase. However any Hölder continuous function with a vanishing distributional derivative is constant. This distinction reappears in higher dimensions, e.g. homeomorphisms with a.e. Jacobians -- and we will discuss applications to a question by Gromov of finding Hölder embeddings of high-dimensional objects into the Heisenberg groups.
Date & Time
October 20, 2026 | 2:30pm – 3:30pm
Add to calendar
10/20/2026 14:30
10/20/2026 15:30
Analysis and Mathematical Physics
use-title
Topic: Hölder Maps Under Distributional Constraints
Speakers: Armin Schikorra, University of Pittsburgh
More: https://www.ias.edu/math/events/analysis-and-mathematical-physics-86
There are many example of (Hölder)-continuous functions with a.e.
vanishing derivative which are non-constant, e.g. the Devil's
staircase. However any Hölder continuous function with a vanishing
distributional derivative is constant. This distinction reappears in
higher dimensions, e.g. homeomorphisms with a.e. Jacobians -- and we
will discuss applications to a question by Gromov of finding Hölder
embeddings of high-dimensional objects into the Heisenberg groups.
Simonyi 101 and Remote Access
a7a99c3d46944b65a08073518d638c23
Location
Simonyi 101 and Remote AccessSpeakers
Armin Schikorra, University of Pittsburgh