(a.k.a. Cagri Sert)
SNF Ambizione fellow
Institut für Mathematik
, Universität Zürich
Winterthurerstrasse 190, 8057 Zürich
e-mail: email@example.com where x=cagri and surname starts with s
Expanding measures: Random walks and rigidity on homogeneous spaces, with R. Prohaska and R. Shi.
Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative, with R. Aoun.
Large deviations for random walks on hyperbolic spaces, with A. Boulanger, P. Mathieu and 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.
to appear in Amer. J. Math.
Markov random walks on homogeneous spaces and Diophantine approximation on fractals, with R. Prohaska,
Trans. Amer. Mat. Soc.
373 (2020), 8163--8196.
A strongly irreducible affine iterated function system with two invariant measures of maximal dimension, with I. D. Morris.
, to appear in
Ergodic Theory Dynam. Systems.
Measure rigidity for horospherical subgroups of groups acting on trees, with C. Ciobotaru and V. Finkelshtein.
, to appear in
Int. Math. Res. Not.
The joint spectrum (I), with E. Breuillard,
J. Lond. Math. Soc.
103 (2021), 943--990.
[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)
Counting limit theorems for Anosov representations, with S. Cantrell, I. Cipriano and R. Dougall.
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.
01/02/2021: New England Dynamics and Number theory
24/02/2021: Hyperbolic lunch,
22/03/2021: Mathematics Online Colloquium Series, NYU Abu Dhabi
06/05/2021: Geometrische Gruppentheorie
11/05/2021: UC San Diego Group Actions
Geometry of numbers
Kleinian groups and Patterson-Sullivan theory
Fall 2017 - Spring 2018:
Homogeneous dynamics and applications