Preprints
Below are a selection of preprints and lecture notes.
Preprints
Ergodic theorems for actions of hyperbolic groups
(with R. Sharp), to appear in Proceedings of the American Mathematical Society
A Weil-Petersson type metric on spaces of metric graphs
(with R. Sharp)
Stationary measures for projective transformations: The Blackwell and Furstenberg measures
(with B. Barany and K. Simon)
Statistics of matrix products in hyperbolic geometry
(with R. Sharp), to appear in Comtemporary Mathematics, proceedings of the MPI workshop on Dynamical Numbers
Unique Bernoulli g-measures
(with A. Johansson and A. Oberg), to appear in the Journal of the European Mathematical Society
Escape Rates for Gibbs measures
(with A. Ferguson), to appear in Ergodic Theory and Dynamical Systems
Geoemtry and dynamics for planar linkages
(with M.L.S. Magalhaes), to appear in Communications in Mathematical Physics
A note on the growth of periodic points for commuting toral automorphisms
, to appear in ISRN Geometry
Correlations of length spectra for negatively curved manifolds
(with R. Sharp)
Length asymptotics in higher Teichmuller theory
(with R. Sharp)
Anosov Flows and Dynamical Zeta Functions
(with Paolo Giulietti and C. Liverani)
The Schottky-Klein prime function and counting functions for Fenchel double crosses
Surveys, lectures and notes
Lectures on ergodic theory, geodesic flows and related topics
Uncorrected notes of lectures given in Ulm (2003)
Dynamical zeta functions and closed orbits for geodesic and hyperbolic flows
Uncorrected notes of lectures given in Les Houches (2003)
Fractals and Dimension Theory
Introductory lectures given in Porto (Apr-May, 2005)
Limit points for tetrahedra and inscribed spheres
Estimating variance for expanding maps
A note on the arcsine law for geodesics
Formulae for residues of Dynamical Zeta functions
Statistical properties of the Rauzy-Veech-Zorich map
Dynamical Zeta functions
Lectures given in Leiden (June, 2010)
Curvature of configuration spaces for planar linkages
(with M.L.S. Magalhaes)
How to create chaos at home
(with a 10 second
movie
and
poster
)