Sturmian maximizing measures for the piecewise-linear cosine family
(pdf) ,
with
Vasso Anagnostopoulou, Karla Diaz-Ordaz, and Catherine Richard,
Bull. Braz. Math. Soc.,
to appear.
The flat spot standard family: variation of the entrance time median
(pdf) ,
with
Vasso Anagnostopoulou, Karla Diaz-Ordaz, and Catherine Richard,
Dynamical Systems, 27 (2012), 29-43.
Majorization of invariant measures for orientation-reversing maps
(pdf) ,
with
Jacob Steel,
Ergodic Theory & Dynamical Systems, 30 (2010), 1471-1483.
A dynamical approach to accelerating numerical integration with
equidistributed points
(pdf) ,
with
Mark Pollicott,
Proceedings of the Steklov Institute, 256 (2007), 275-289.
Flattening functions on flowers
(pdf) ,
with
Edmund Harriss,
Ergodic Theory & Dynamical Systems,
27 (2007), 1865-1886.
Ergodic optimization for non-compact dynamical systems
(pdf) ,
with
Dan Mauldin and Mariusz Urbanski,
Dynamical Systems, 22 (2007), 379-388.
Invariant measures for real analytic expanding maps
(pdf) ,
with
Oscar Bandtlow,
Journal of the London Mathematical Society, 75 (2007), 343-368.
Every ergodic measure is uniquely maximizing
(pdf) ,
Discrete & Continuous Dynamical Systems, 16 (2006), 383-392.
Ergodic optimization for countable alphabet subshifts of finite type,
(pdf) ,
with
Dan Mauldin and Mariusz Urbanski,
Ergodic Theory & Dynamical Systems, 26 (2006),
1791-1803.
Maximum hitting frequency and fastest mean return time
(pdf) ,
Nonlinearity, 18 (2005), 2305-2321.
Zero temperature limits of Gibbs-equilibrium states for countable
alphabet subshifts of finite type
(pdf) ,
with
Dan Mauldin and Mariusz Urbanski,
Journal of Statistical Physics, 119 (2005), 765-776.
Orthonormal expansions of invariant densities for expanding maps
(PostScript) (dvi) ,
with
Mark Pollicott,
Advances in Mathematics, 192 (2005), 1-34.
Entropy, exponents and invariant densities for hyperbolic systems:
dependence and computation
(PostScript) (dvi) ,
with
Mark Pollicott,
in "Modern Dynamical Systems and Applications",
C.U.P., 2004, pp 365-384.
On the density
of Hausdorff dimensions of bounded type continued fraction sets:
the Texan conjecture
(PostScript) (dvi) ,
Stochastics and Dynamics, 4 (2004), 63-76.
Characterisations of Balanced Words via Orderings
(PostScript) (dvi) ,
with
Luca Zamboni,
Theor. Comp. Sci., 310 (2004), 247-271.
On transfer operators for continued fractions with restricted digits
(PostScript) (pdf) (dvi) ,
with
Luis Felipe Gonzalez and Mariusz Urbanski,
Proc. London Math. Soc., 86 (2003), 755-778.
Cohomology classes of dynamically non-negative C^k functions
(PostScript) (dvi)
, with Thierry Bousch,
Inventiones Mathematicae, 148 (2002), 207-217.
Calculating Hausdorff dimension of Julia sets and Kleinian limit sets
(ps.gz) ,
(Postscript) ,
(pdf) ,
(dvi) ,
with Mark Pollicott
, American Journal of Mathematics,
124 (2002), 495-545
Smooth Cocycle Rigidity for Expanding Maps, and an Application to
Mostow Rigidity
(PostScript) (dvi) ,
Math. Proc. Camb. Phil. Soc., 132 (2002), 439-452.
Computing the dimension of dynamically defined sets :
E2 and bounded continued fractions
(PostScript) (dvi) , with
Mark Pollicott
,
Ergodic Theory & Dynamical Systems, 21 (2001), 1429--1445.
Rotation, Entropy, and Equilibrium States (PostScript) (dvi) ,
Trans. Amer. Math. Soc.,
353 (2001), 3713-3739.