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Preprints and unpublished material


  1. Rigorous effective bounds on the Hausdorff dimension of continued fraction Cantor sets: a hundred decimal digits for the dimension of E2 (with O.Jenkinson)
  2. Rigorous computation of diffusion coefficients for expanding maps (with O.Jenkinson and P. Vytnova)
  3. Asymptotic counting in conformal dynamical systems (with M.Urbanski)
  4. Zeros of the Selberg zeta function for non-compact surfaces (with P. Vytnova)
  5. The Schottky-Klein prime function and counting functions for Fenchel double crosses
  6. Higher Teichm├╝ller theory for surface groups and shifts of finite type (with R. Sharp)

Papers accepted for publication

  1. Open Conformal Systems and Perturbations of Transfer Operators (with M.Urbanski) to appear in Lecture Notes in Mathematics 2206 (Springer)
  2. Joint spectral radius, sturmian measures, and the finiteness conjecture, (with O.Jenkinson), to appear in Ergodic Theory and Dynamical Systems
  3. Critical points for the Hausdorff Dimension of pairs of pants, (with P. Vytnova) to appear in Groups, Geometry and Dynamics

Notes from short lecture courses

  1. Lectures on decay of correlations for flows, Uncorrected notes of lectures given in Jerusalem.pdf (1997)
  2. Lectures on ergodic theory, geodesic flows and related topics, Uncorrected notes of lectures given in Ulm (2003)
  3. Dynamical zeta functions and closed orbits for geodesic and hyperbolic flows Published survey, Les Houches (2003)
  4. Fractals and Dimension Theory, Introductory lectures given in Porto (Apr-May, 2005)
  5. Dynamical Zeta functions Lectures given in Leiden (June, 2010)
  6. Dynamical zeta functions Uncorrected notes of lectures given in Grenoble (June 2013)
  7. Hyperbolic systems, zeta functions and their applications Lectures from Warsaw (2015)
  8. Lectures on geodesic flows Uncorrected handwritten notes from ESI Vienna (2016)
  9. Lectures on Bowen-Series method and zeta function Uncorrected handwritten notes from Shenszen (2016)
  10. Lectures on fractals and dimension Uncorrected handwritten notes from Tehran (2017)
  11. Lectures on mixing and applictions Uncorrected handwritten notes from Mumbai (2017)

Miscellaneous notes (not intended for publication)

  1. Limit points for tetrahedra and inscribed spheres An amusing, but elementary, result
  2. Estimating variance for expanding maps An unfinished note somewhat superceded by newer ideas
  3. A note on the arcsine law for geodesics A modest distributional result for geodesics
  4. Formulae for residues of Dynamical Zeta functions A note where the results didn't prove as useful as I hoped.
  5. Statistical properties of the Rauzy-Veech-Zorich map A note written for my own education on Rauzy-Veech-Zorich maps.
  6. Curvature of configuration spaces for planar linkages (with M.L.S. Magalhaes): A longer version of the published article.
  7. How to create chaos at home (with a 10 second movie and poster ) A poster on how to construct a chaotic linkage.
  8. Another account of the Dani-Smillie theorem An account I used in my Ergodic Theory course
  9. Multiple mixing for hyperbolic flows A project I started (but never finished) during a Sabbatical.
  10. Large deviations, Gibbs measures and closed geodesics for rank one geodesic flows A modest result now out of date