(a.k.a. Cagri Sert)
Postdoc (under the mentorship of
Institut für Mathematik
, Universität Zürich
Winterthurerstrasse 190, 8057 Zürich
e-mail: firstname.lastname@example.org where x=cagri
Large deviation principles for non-elementary random walks on hyperbolic spaces, with A. Sisto.
(Non)-escape of mass and equidistribution for horospherical actions on trees, with C. Ciobotaru and V. Finkelshtein.
A converse statement to Hutchinson's theorem and a dimension gap for self-affine measures, with I.D. Morris.
Law of large numbers for the spectral radius of random matrix products, with R. Aoun.
Markov random walks on homogeneous spaces and Diophantine approximation on fractals, with R. Prohaska.
, to appear in
Trans. Amer. Mat. Soc.
A strongly irreducible affine iterated function system with two invariant measures of maximal dimension, with I. D. Morris.
, accepted (subj. to minor rev.) to Ergodic Theory Dynam. Systems.
Measure rigidity for horospherical subgroups of groups acting on trees, with C. Ciobotaru and V. Finkelshtein.
, to appear in
The joint spectrum (I), with E. Breuillard.
[Carlos Matheus' blog post]
Large deviation principle for random matrix products,
Vol. 47, 3 (2019), 1335-1377.
355 (2017), no. 6, 718–722.)
Coming soon (or later)
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.
Geometry of numbers
Kleinian groups and Patterson-Sullivan theory
Fall 2017 - Spring 2018:
Homogeneous dynamics and applications