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Dr Cagri Sert

 

Mathematics

Email: x.surname@warwick.ac.uk

where x=cagri and the surname starts with s.

Office: D2.16=D6^3

Organizations:

  • Warwick ETDS Seminar (weekly)

Publications/preprints:

  • Stationary probability measures on projective spaces 2: The critical case. (submitted)
    (with R. Aoun.) arXiv
  • A variational principle relating self-affine measures to self-affine sets. (submitted)
    (with I.D. Morris) arXiv
  • Stationary measures for SL(2,R)-actions on homogeneous bundles over flag varieties.
    (with A. Gorodnik and J. Li) arXiv , to appear in Journal
  • Stationary probability measures on projective spaces 1: Block-Lyapunov dominated systems.
    (with R. Aoun) arXiv , to appear in Journal
  • Counting and boundary limit theorems for representations of Gromov-hyperbolic groups.
    (with S. Cantrell) arXiv , to appear in Journal . -- [slides]
  • Random walks on hyperbolic spaces: second order expansion of the rate function at the drift.
    (with R. Aoun and P. Mathieu) arXiv , Journal .
  • Expanding measures: Random walks and rigidity on homogeneous spaces.
    (with R. Prohaska and R. Shi) arXiv , to appear in Journal . -- [slides] , [video]
  • Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative.
    (with R. Aoun) arXiv , Journal . -- [slides] , [video]
  • Large deviations for random walks on Gromov-hyperbolic spaces.
    (with A. Boulanger, P. Mathieu and A. Sisto) arXiv , to appear in Journal . -- [slides] , [video]
  • (Non)-escape of mass and equidistribution for horospherical actions on trees.
    (with C. Ciobotaru and V. Finkelshtein) arXiv , Journal . -- [slides] , [video]
  • A converse statement to Hutchinson's theorem and a dimension gap for self-affine measures.
    (with I.D. Morris) arXiv , to appear in Journal . -- [slides] , [video]
  • Law of large numbers for the spectral radius of random matrix products.
    (with R. Aoun) arXiv , Journal .
  • Markov random walks on homogeneous spaces and Diophantine approximation on fractals.
    (with R. Prohaska) arXiv , Journal .
  • A strongly irreducible affine iterated function system with two invariant measures of maximal dimension.
    (with I. D. Morris) arXiv , Journal .
  • Measure rigidity for horospherical subgroups of groups acting on trees.
    (with C. Ciobotaru and V. Finkelshtein) arXiv , Journal . -- [slides] , [video]
  • The joint spectrum (I).
    (with E. Breuillard) arXiv , Journal . -- [Carlos Matheus' blog post]
  • Large deviation principle for random matrix products.
    arXiv , Journal -- (See also announcement in Journal .)

Coming soon (or later)

  • Counting limit theorems for Anosov representations. (with S. Cantrell, I. Cipriano and R. Dougall)
  • Projections of self-affine fractals. (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

  • 10/01/2023: Seminar: Warwick ETDS Seminar
  • 18/01/2023: Seminar: One World Fractals, Online
  • 28/03/2023: Workshop: Ergodic Theory of Group Extensions, Warwick
  • 09-12/05/2023: Conference: Probability and Dynamics, Roscoff
  • 01/07/2023: Congress: The Tenth Congress of Romanian Mathematicians, Piteşti
  • 21/07/2023: Conference: GAGTA 2023, Vienna
  • 06/10/2023: Journées de Dynamique, Paris
  • 30/10/2023: Dynamical Systems Seminar, PennState
  • 02-05/11/2023: Semi-annual Workshop in Dynamical Systems and Related Topics, PennState
  • 13/11/2023: Group Actions and Dynamics Seminar, Yale
  • 29/11/2023: Differential Geometry & Topology Seminar , Cambridge
  • 18/01/2024: One Day ergodic theory meeting , Queen Mary, London
  • 22/03/2024: New York Group Theory seminar , CUNY, New York
  • 13-17/05/2024: Dynamics of Group actions and random walks on groups Workshop , Fields Institute, Toronto
  • 21/05/2024: DynamIST Seminar , IST, Austria
  • 27-31/05/2024: Group actions with hyperbolicity and measure rigidity Workshop , IHP, Paris
  • 03-07/06/2024: Diophantine approximation and fractal geometry Conference , Marne-la-Vallée
  • 17-20/06/2024: 75th British Mathematical Colloquium, ETDS workshop , Manchester