Çağrı Sert  (a.k.a. Cagri Sert)

SNF Ambizione fellow Institut für Mathematik, Universität Zürich Winterthurerstrasse 190, 8057 Zürich Switzerland e-mail: x.surname@math.uzh.ch where x=cagri and surname starts with s

Organizations

• 12-16/06/2023: Zurich Dynamics Conference
  with A. Avila and M. Einsiedler
• 8-10/06/2023: Zurich Dynamics Summer School
  with A. Avila and M. Einsiedler
• 15/02/2023: One Day Ergodic Theory Meeting , Warwick
• Zurich Ergodic Theory and Dynamical Systems Seminar (weekly)

Prints/Preprints

• Stationary measures for SL(2,R)-actions on homogeneous bundles over flag varieties.
  (with A. Gorodnik and J. Li) arXiv
• Stationary probability measures on projective spaces for block-Lyapunov dominated systems. (submitted)
  (with R. Aoun) arXiv
• Counting and boundary limit theorems for representations of Gromov-hyperbolic groups. (submitted)
  (with S. Cantrell) arXiv -- [slides]
• Random walks on hyperbolic spaces: second order expansion of the rate function at the drift. (submitted)
  (with R. Aoun and P. Mathieu) arXiv
• Expanding measures: Random walks and rigidity on homogeneous spaces. (submitted)
  (with R. Prohaska and R. Shi) arXiv -- [slides] , [video]
• Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative.
  (with R. Aoun) arXiv , to appear in Journal . -- [slides] , [video]
• Large deviations for random walks on Gromov-hyperbolic spaces.
  (with A. Boulanger, P. Mathieu and A. Sisto) arXiv , to appear in Journal . -- [slides] , [video]
• (Non)-escape of mass and equidistribution for horospherical actions on trees.
  (with C. Ciobotaru and V. Finkelshtein) arXiv , Journal . -- [slides] , [video]
• A converse statement to Hutchinson's theorem and a dimension gap for self-affine measures.
  (with I.D. Morris) arXiv , to appear in Journal . -- [slides] , [video]
• Law of large numbers for the spectral radius of random matrix products.
  (with R. Aoun) arXiv , Journal .
• Markov random walks on homogeneous spaces and Diophantine approximation on fractals.
  (with R. Prohaska) arXiv , Journal .
• A strongly irreducible affine iterated function system with two invariant measures of maximal dimension.
  (with I. D. Morris) arXiv , Journal .
• Measure rigidity for horospherical subgroups of groups acting on trees.
  (with C. Ciobotaru and V. Finkelshtein) arXiv , Journal . -- [slides] , [video]
• The joint spectrum (I).
  (with E. Breuillard) arXiv , Journal . -- [Carlos Matheus' blog post]
• Large deviation principle for random matrix products.
  arXiv , Journal -- (See also announcement in Journal .)

Coming soon (or later)

• Counting limit theorems for Anosov representations, with S. Cantrell, I. Cipriano and R. Dougall.
• Stationary probability measures on projective spaces: The critical case, with R. Aoun.
• From self-affine measures to self-affine sets, with I.D. Morris.
• Finiteness properties for joint spectral radii in SL(2,R), with E. Breuillard.
• Abundance of counterexamples to the finiteness conjecture in arbitrary dimension, with J. Bochi.
• Growth indicator for semisimple linear groups.

Recent/Upcoming talks

Other texts

Some activity

Teaching