One full day of the Winter School will be dedicated to a research mini-workshop featuring invited research talks and student presentations, with time for scientific discussion.

Invited Talks

Talk duration: 40 minutes

Frank Proske

University of Oslo

Takagi-Type Curves: SBR Measure and Local Time

Abstract. We investigate occupation measures and local times of rough Takagi-type functions. By embedding these curves into a hyperbolic dynamical system related to the baker transformation, we establish a connection between SBR measures, Bernoulli convolutions and occupation measures. Using Fourier-analytic and equidistribution methods, we prove the existence of square-integrable local times for Takagi-type curves for specific ranges of the roughness parameter. The motivation for our work comes from stochastic regularization theory for certain classes of ODEs and PDEs, where irregular perturbations may restore well-posedness of equations.

Kenneth H. Karlsen

University of Oslo

Olha Martynyuk

Yuriy Fedkovych Chernivtsi National University

Student Presentations

The mini-workshop will also include student research presentations.

Presentation duration: 15 minutes