For twenty-five years he has been reading and writing things
that clever men have long known and stupid ones are not interested in.
- Uncle Vanya on the Professor (Chekov).
Papers published in 2006
- Angular self-intersections for closed geodesics on surfaces (with
R.
Sharp) Proc. Amer. Math. Soc. 34 (2006) 419--426
- Correlations for pairs of closed geodesics (with R. Sharp), Invent. Math., 163
(2006),1--24
- Properties of measures supported on flat
Sierpinski carpet (with T. Jordan), Ergod. Th. and Dynam. Sys, 26
(2006) 739--754:
[including Addendum: Positive-measure self-similar
sets without interior (with M. Csornyei, T. Jordan, D.Preiss
and B. Solomyak) Ergod. Th. and Dynam. Sys, 26
(2006) 755-758]
- Skew products and Lie theory (with W. Parry), Translations Amer.
Math. Soc, 217 (2006) 139-165
- Distribution of ergodic sums for hyperbolic maps (with R.
Sharp), Translations Amer. Math. Soc. 167-183
- Dynamical zeta functions and closed orbits
for geodesic and hyperbolic flows. Frontiers in number
theory, physics, and geometry. I,
379--398, Springer, Berlin, 2006.
Papers published in 2007
-
A dynamical approach to accelerating numerical integration with equidistributed points, (with O. Jenkinson) Tr. Mat. Inst. Steklova 256 (2007), Din. Sist. i Optim., 290--304
-
Pseudo-Anosov foliations on periodic surfaces, (with R. Sharp) Topology Appl. 154 (2007), no. 12, 2365--2375
-
Pair correlations of sequences in higher dimensions, (with R. Nair) Israel J. Math. 157 (2007), 219--238.
-
Chebotarev-type theorems in homology classes, (with R. Sharp) Proc. Amer. Math. Soc. 135 (2007), no. 12, 3887--3894
- Distribution
of orbits for Mobius groups, Fields Insitute Communications, 51 (2007) 329-339
- Hausdorff dimension for randomly perturbed
self affine attractors (with T. Jordan and K. Simon), Communications in
Mathematical Physics
270 (2007) 519-544.
- Countable
state shifts and the uniqueness of g-measures, (with A.Johansson and
A.Oberg), Amer. J. Math., 129 (2007), no. 6, 1501-1511
-
Multifractal analysis and the variance of Gibbs measures,
(with T. Jordan) Journal of the London Mathematical Society,
76 (2007) 57--72.
Papers published in 2008
-
The mathematical research of William Parry FRS,
(with R. Sharp, S. Tuncel and P. Walters)
Ergodic Theory and Dynamical Systems, 28 (2008) 321-337
-
An analogue of Bauer's theorem for closed orbits of skew products
(with W. Parry, postumously)
Ergodic Theory and Dynamical Systems, 28 (2008) 535-546
-
Addendum: An analogue of Artin reciprocity for closed orbits of skew products
(with R. Sharp)
Ergodic Theory and Dynamical Systems, Volume 28 (2008) 547-552
-
Stable ergodicity for partially hyperbolic attractors
with negative central exponents, (with Keith Burns, Dmitry Dolgopyat,
and Yakov Pesin), Journal of Modern Dynamics, 2 (2008) 63-81
-
The Hausdorff dimension of measures for iterated function systems which
contract on average, (with T. Jordan) Discrete and Continuous Dynamical
Systems 22 (2008) 235--246.
- How smooth is your wavelet? Wavelet regularity via thermodynamic
formalism, (with H. Weiss) Communications in Mathematical Physics 281
(2008) 1--21.
-
Periodic orbits and holonomy for hyperbolic flows, in "Geometric and
Probabilistic Structures in Dynamics" Contemporary Mathematics 469, 289-302,
(2008)
(with R. Sharp)
Papers published in 2009
-
Limiting distributions for geodesics excursions on the modular surface, in
Spectral analysis in geometry and number theory, 177--185,
Contemp. Math., 484, Amer. Math. Soc., 2009
-
Large deviations, fluctuations and shrinking intervals, (with R. Sharp)
Comm. Math. Phys. 290 (2009) 321--334.
- Large deviations for intermittent maps, (with R. Sharp) Nonlinearity 22
(2009) 2079--2092.
-
Ergodicity of the Geodesic Flow on Non-complete Negatively Curved
Surfaces (with H. Weiss), Asian Journal of Mathematics, 13 (2009) 405-419
-
Sets of non-differentiability for conjugacies between expanding interval maps
(with T. Jordan, M. Kessebohmer, and B. Stratmann), Fundamenta Mathematicae, 206
(2009) 161-183
-
Normal points for generic hyperbolic maps, Fundamenta Mathematicae, 20 (2009) 271-280
Papers published in 2010
-
Topological dynamics of the Weil-Petersson geodesic flow (with H. Weiss and S. Wolpert),
Adv. Math. 223 (2010) 1225--1235
-
Multifractal analysis of non-uniformly hyperbolic systems
(with A. Johansson, T. Jordan and A. Oberg, Anders),
Israel Journal of Mathematcs, 177 (2010) 125-144
-
Maximal Lyapunov exponents for random matrix products,
Inventiones Mathematicae, 181 (2010) 209-226
Papers published in 2011
-
Statistics of matrix products in hyperbolic geometry (with R. Sharp), 213-230
in Dynamical Numbers: Interplay between Dynamical Systems and Number Theory,
Contemporary Mathematics 532, AMS, 2011
-
Factors of Gibbs measures for full shifts (with T. Kempton), 246-257,
in Entropy of Hidden Markov Processes and Connections to Dynamical Systems,
LMSLNM 385, CUP, 2011
-
Computing entropy rates for hidden markov processes, 223-245,
in Entropy of Hidden Markov Processes and Connections to Dynamical Systems,
LMSLNM 385, CUP, 2011
-
On the Hannay-Ozorio De Almeida Sum Formula (with R. Sharp), 575-590,
in Dynamics, Games and Science II DYNA 2008, Springer, 2011
-
Statistics of matrix products in hyperbolic geometry (with R. Sharp), 213–230, Dynamical numbers—interplay between dynamical systems and number theory, Contemp. Math., 532, Amer. Math. Soc., Providence, RI, 2010