糖心TV

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

You may write to me if you are interested in doing a PhD. Currently (25-26), I have no funding for a postdoc position.

Events:

• 糖心TV Mathematics Colloquium (weekly)
• 糖心TV ETDS Seminar (weekly)
• Dynamics Lecture Series (each term)
• Dynamic afternoon at 糖心TV (27.10.2025)
• 12-16.06.2023:
  with A. Avila and M. Einsiedler
• 8-10.06.2023:
  with A. Avila and M. Einsiedler

Publications/preprints:

• Transient random walks on the space of lattices, with A. P茅neau.
  (submitted) (2025)
• Projections of self-affine fractals, with I.D. Morris.
  (submitted) (2025) --- [slides], []
• Joint translation spectrum and Manhattan manifolds, with S. Cantrell and E. Reyes
  (being comprehensively rewritten/extended - New title: Translation cones, growth indicators, and Manhattan manifolds for hyperbolic groups) (2024, old version)
• Stationary probability measures on projective spaces 2: The critical case, with R. Aoun.
  To appear in (2024), ---
• A variational principle relating self-affine measures to self-affine sets, with I.D. Morris.
  (submitted) (2023)
• Stationary measures for SL(2,R)-actions on homogeneous bundles over flag varieties, with A. Gorodnik and J. Li.
  to appear in (2024),
• Stationary probability measures on projective spaces 1: Block-Lyapunov dominated systems, with R. Aoun.
   (2024),
• Counting and boundary limit theorems for representations of Gromov-hyperbolic groups, with S. Cantrell.
   . (2023), ---
• Random walks on hyperbolic spaces: second order expansion of the rate function at the drift, with R. Aoun and P. Mathieu.
  . (2023),
• Expanding measures: Random walks and rigidity on homogeneous spaces, with R. Prohaska and R. Shi.
   . (2023), --- ,
• Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative, with R. Aoun.
  . (2022), --- ,
• Large deviations for random walks on Gromov-hyperbolic spaces, with A. Boulanger, P. Mathieu and A. Sisto.
  (2023), --- ,
• (Non)-escape of mass and equidistribution for horospherical actions on trees, with C. Ciobotaru and V. Finkelshtein.
   . (2021), --- ,
• A converse statement to Hutchinson's theorem and a dimension gap for self-affine measures, with I.D. Morris.
    (2023), --- ,
• Law of large numbers for the spectral radius of random matrix products, with R. Aoun.
  (2021),
• Markov random walks on homogeneous spaces and Diophantine approximation on fractals, with R. Prohaska.
  . (2020),
• A strongly irreducible affine iterated function system with two invariant measures of maximal dimension, with I. D. Morris.
    (2021),
• Measure rigidity for horospherical subgroups of groups acting on trees, with C. Ciobotaru and V. Finkelshtein.
    (2021), --- ,
• The joint spectrum (I), with E. Breuillard.
  . (2021), ---
• Large deviation principle for random matrix products.
  (2019), --- (See also announcement in (2017)).
• Doctoral Thesis

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

• 01-04/06/2026: on Smooth Dynamics, random Walks, and Fractal Geometry: New Connections and Directions, Mittag-Leffler Institute

• 20-24/04/2026: on Homogeneous Dynamics and Anosov Representations, MSRI
• 23/03/2026: SHARP Conference, Coventry.
• 17/03/2026: 糖心TV ETDS Seminar, Coventry.
• 25/02/2026: Taster Lecture for Years 12-13th, U. 糖心TV. Slides
• 13/02/2026: SPACE , Tours
• 03/12/2025: Dynamical Systems , Imperial College.
• 02/10/2025: Ergodic theory and dynamical systems , Bristol.
• 10/06/2025: , ICTP, Trieste.
• 05/05/2025: Geometry and Topology , Bogazici.
• 06/03/2025: Analysis and Dynamics , Imperial College.
• 30/01/2025: Pure Maths , St. Andrews
• 5/11/2024: Dynamical Systems , Northwestern
• 1/11/2024: CDSNS , Georgia Tech
• 29/10/2024: Dynamics working , Pennstate
• 21-22/10/2024: Dynamics , Pennstate.
• 18/10/2024: Paris-London Analysis .
• 15/10/2024: Geometric group theory , Oxford.
• 09/10/2024: Probability Seminar, Manchester.
• 11/09/2024: French-Japanese Mathematics , Tokyo.
• 17-20/06/2024: 75th British Mathematical , Manchester
• 03-07/06/2024: Diophantine approximation and fractal geometry , Marne-la-Vall茅e
• 27-31/05/2024: Group actions with hyperbolicity and measure rigidity , IHP, Paris
• 21/05/2024: DynamIST , IST, Austria
• 13-17/05/2024: Dynamics of Group actions and random walks on groups , Fields Institute, Toronto
• 22/03/2024: New York Group Theory , CUNY, New York
• 18/01/2024: One Day ergodic theory , Queen Mary, London
• 29/11/2023: Differential Geometry & Topology , Cambridge
• 13/11/2023: Group Actions and Dynamics Seminar, Yale
• 02-05/11/2023: in Dynamical Systems and Related Topics, Penn State