Research interests

• (strong) Limit theorems
• Large deviations
• Mixing random variables
• Ergodic theory
• Spectral theory of transfer operators
• Metrical number theory

PhD Thesis

Generalized Strong Laws of Large Numbers for Intermediately Trimmed Sums for Non-negative Stationary Processes under the supervision of Prof. Dr. M. Kesseböhmer in the Dynamical systems and geometry group at the University of Bremen

Talks

Recent talks

• 03/2016 German Probability and Statistics days, Bochum, Germany
  title: Generalized strong law of large numbers for intermediately trimmed sums

• 11/2015 Simons Semester Workshop: Ergodic Theory of Dynamical Systems, Będlewo, Poland
  title: Almost sure convergence for intermediately trimmed Birkhoff sums

• 09/2015 Number Theory Study Group, University of York, UK
  title: Generalized Strong Laws of Large Numbers for Intermediately Trimmed Sums for Non-negative Stationary Processes
• 09/2015 First Summer School on Dynamical Approaches in Spectral Geometry, Göttingen, Germany
  title: Almost sure convergence for intermediately trimmed Birkhoff sums

Publications

• Kesseböhmer, Marc; Schindler, Tanja.
  Limit theorems for counting large continued fraction digits.
  preprint

• Haynes, Alan; Schindler, Tanja.
  Trimmed sums for observables on the doubling map.
  in preparation

• Kesseböhmer, Marc; Schindler, Tanja.
  Strong laws of large numbers for intermediately trimmed sums of i.i.d. random variables with infinite mean.
  preprint

• Kesseböhmer, Marc; Schindler, Tanja.
  Strong laws of large numbers for intermediately trimmed sums of φ-mixing random variables with infinite mean.
  in preparation

• Kesseböhmer, Marc; Schindler, Tanja.
  Strong laws of large number for intermediately trimmed Birkhoff sums of observables with infinite mean.
  in preparation