(a.k.a. Cagri Sert)
Postdoc (under the mentorship of
D-MATH, ETH Zürich
Rämistrasse 101, 8092, Zürich
e-mail: firstname.lastname@example.org where x=cagri
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.
A strongly irreducible affine iterated function system with two invariant measures of maximal dimension, with I. D. Morris.
(To be replaced with an upgraded version, soon..)
Measure rigidity for horospherical subgroups of groups acting on trees, with C. Ciobotaru and V. Finkelshtein.
The joint spectrum (I), with E. Breuillard.
Large deviation principle for random matrix products,
Vol. 47, 3 (2019), 1335-1377.
355 (2017), no. 6, 718–722.)
Coming soon (or later)
A partial converse to Hutchinson's theorem and a dimension gap between self-affine measures and 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.
Quantitative recurrence and equidistribution for horospherical actions on trees, with C. Ciobotaru and V. Finkelshtein.
Kleinian groups and Patterson-Sullivan theory
(Fall 2017 - Spring 2018)
Homogeneous dynamics and applications