Mathematics Assistant Professor Email: x.surname@warwick.ac.uk where x=cagri and the surname starts with s. Office: D2.16

Events:

• Mini-course by Simon Machado (Week 9, Tue-Wed-Thu)
• Warwick ETDS Seminar (weekly)
• 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

Publications/preprints:

• Transient random walks on the space of lattices, with A. Péneau.
  (submitted) arXiv (2025)
• Projections of self-affine fractals, with I.D. Morris.
  (submitted) arXiv (2025) --- [slides]
• Joint translation spectrum and Manhattan manifolds, with S. Cantrell and E. Reyes
  arXiv (2024)
• Stationary probability measures on projective spaces 2: The critical case, with R. Aoun.
  To appear in Duke Math. J. (2024), arXiv --- [video]
• A variational principle relating self-affine measures to self-affine sets, with I.D. Morris.
  (submitted) arXiv (2023)
• Stationary measures for SL(2,R)-actions on homogeneous bundles over flag varieties, with A. Gorodnik and J. Li.
  to appear in J. Reine Angew. Math. (2024), arXiv
• Stationary probability measures on projective spaces 1: Block-Lyapunov dominated systems, with R. Aoun.
   Math. Ann. (2024), arXiv
• Counting and boundary limit theorems for representations of Gromov-hyperbolic groups, with S. Cantrell.
   Proc. London Math. Soc. (2023), arXiv --- [slides]
• Random walks on hyperbolic spaces: second order expansion of the rate function at the drift, with R. Aoun and P. Mathieu.
  Journal de l'Ecole Polytechnique. (2023), arXiv
• Expanding measures: Random walks and rigidity on homogeneous spaces, with R. Prohaska and R. Shi.
   Forum of Math, Sigma. (2023), arXiv --- [slides] , [video]
• Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative, with R. Aoun.
  Probab. Theory and Rel. Fields. (2022), arXiv --- [slides] , [video]
• Large deviations for random walks on Gromov-hyperbolic spaces, with A. Boulanger, P. Mathieu and A. Sisto.
  Annales Scientifiques de l'Ecole Normale Supérieure. (2023), arXiv --- [slides] , [video]
• (Non)-escape of mass and equidistribution for horospherical actions on trees, with C. Ciobotaru and V. Finkelshtein.
   Mathematische Zeitschrift. (2021), arXiv --- [slides] , [video]
• A converse statement to Hutchinson's theorem and a dimension gap for self-affine measures, with I.D. Morris.
   JEMS. (2023), arXiv --- [slides] , [video]
• Law of large numbers for the spectral radius of random matrix products, with R. Aoun.
  American J. of Math. (2021), arXiv
• Markov random walks on homogeneous spaces and Diophantine approximation on fractals, with R. Prohaska.
  Transactions of American Math. Soc. (2020), arXiv
• A strongly irreducible affine iterated function system with two invariant measures of maximal dimension, with I. D. Morris.
   Erg. Theory and Dyn. Syst. (2021), arXiv
• Measure rigidity for horospherical subgroups of groups acting on trees, with C. Ciobotaru and V. Finkelshtein.
   International Math. Resarch Notices. (2021), arXiv --- [slides] , [video]
• The joint spectrum (I), with E. Breuillard.
  Journal of London Math. Soc. (2021), arXiv --- [Carlos Matheus' blog post]
• Large deviation principle for random matrix products.
  Annals of Probability. (2019), arXiv --- (See also announcement in CRAS (2017)).

Coming soon (or later)

• Counting limit theorems for Anosov representations. (with S. Cantrell, I. Cipriano and R. Dougall)
• Projections and sumsets of self-affine fractals 2-3. (with I.D. Morris)
• Finiteness properties for joint spectral radii in SL(2,R). (with E. Breuillard)
• Ergodic optimization for a class of skew-product systems. (with J. Bochi)
• Growth indicator for semisimple linear groups.

Recent/Upcoming talks

• 12/06/2025: Beyond Uniform Hyperbolicity 2, ICTP, Trieste.
• 05/05/2025: Geometry and Topology Seminar, Bogazici.
• 06/03/2025: Analysis and Dynamics Seminar, Imperial
• 30/01/2025: Pure Maths Colloquium, St. Andrews
• 5/11/2024: Dynamical Systems Seminar, Northwestern
• 1/11/2024: CDSNS Colloquium, Georgia Tech
• 29/10/2024: Dynamics working seminar, Pennstate
• 21-22/10/2024: Dynamics Seminar, Pennstate.
• 18/10/2024: Paris-London Analysis Seminar.
• 15/10/2024: Geometric group theory Seminar, Oxford.
• 09/10/2024: Probability Seminar, Manchester.
• 11/09/2024: French-Japanese Mathematics Seminar, Tokyo.
• 17-20/06/2024: 75th British Mathematical Colloquium, ETDS workshop , Manchester
• 03-07/06/2024: Diophantine approximation and fractal geometry Conference , Marne-la-Vallée
• 27-31/05/2024: Group actions with hyperbolicity and measure rigidity Workshop , IHP, Paris
• 21/05/2024: DynamIST Seminar , IST, Austria
• 13-17/05/2024: Dynamics of Group actions and random walks on groups Workshop , Fields Institute, Toronto
• 22/03/2024: New York Group Theory seminar , CUNY, New York
• 18/01/2024: One Day ergodic theory meeting , Queen Mary, London
• 29/11/2023: Differential Geometry & Topology Seminar , Cambridge
• 13/11/2023: Group Actions and Dynamics Seminar, Yale
• 02-05/11/2023: Semi-annual Workshop in Dynamical Systems and Related Topics, Penn State