Publications

Stability of periodic orbits in noslip billiards
Joint with Christoffer Cox and HongKun Zhang
Preprint, November 2016

Exact discretization of harmonic tensors
Joint with Matt Wallace and Tim Chumley
Preprint, March 2016

Noslip billiards in dimension two
Joint with Christoffer Cox
Preprint, January 2016 (to appear in Contemporary Math.)

Differential Geometry of Rigid Bodies Collisions and Nonstandard Billiards
Joint with Christoffer Cox
Discrete and Continuous Dynamical SystemsA, 33 (2016) no. 11, 60656099

Diffusivity in multiple scattering systems
Joint with Timothy Chumley and Hongkun Zhang
Preprint, February 2013, http://arxiv.org/abs/1302.4339
Trans. Amer. Math. Soc. 368 (2016), 109148.

Reactiondiffusion on metric graphs: from 3D to 1D
Joint with Matthew Wallace and Gregory Yablonski
Preprint, October 2015

Explicit formulas for reaction probability in reactiondiffusion experiments
Joint with Matthew Wallace, Ari Stern, and Gregory Yablonsky.
Preprint, September 2015 (to appear in Computers & Chemical Engineering)

Multiple scattering in random mechanical systems and diffusion approximation
Joint with Jasmine Ng and Hongkun Zhang
Communications in Mathematical Physics, V. 323, Issue 2 (2013), page 713745

From billiads to thermodynamics
Joint with Tim Chumley and Scott Cook
Computers & Mathematics with Applications, Vol. 65, n. 10 (2013) p. 15961613.

Random billiards with wall temperature and associated Markov chains
Joint with Scott Cook
Nonlinearity 25 (2012) 25032541.

Spectral gap for a class of random billiards
Joint with HongKun Zhang
Commun. Math. Phys. 313, 479515 (2012)

Harmonic functions over group actions
Joint with Emily Ronshausen, in Geometry, Rigidity and Group Actions, Ed. B. Farb and D. Fisher,
University of Chicago Press, 2011, 5971.

The spectrum of the billiard Laplacian of a family of random billiards
Joint with HongKun Zhang
Journal of Statistical Physics, V. 141, N. 6 (2010) 10301054.

Higher order approximation of isochrons
Joint with D. Takeshita
Nonlinearity 23 (2010) 13031323.

A general formula for reactant conversion over a single catalyst particle in TAP pulse
experiments
Joint with A. Cloninger, G.S. Yablonsky, and J.T. Gleaves
Chemical Engineering Science 64 (2009) 21, 43584364.

Probabilistic analysis of transportreaction processes over catalytic particles: theory and
experimental testing
(With Yablonsky, Mueller, Baernstein, Zheng, and Gleaves.)
Chemical Engineering Science 64 (2009), pp. 568581

Harmonic functions on Rcovered foliations and group actions on the circle.
Joint with S. Fenley and K. Parwani
Ergodic Theory and Dynamical Systems, Volume 29, issue 04, August 2009, pp 11411161.

Random walks derived from billiards. (in Dynamics, Ergodic Theory, and
Geometry)
Ed. B. Hasselblatt. Mathematical Sciences Research Institute Publications 54,
2007, pages 179222.

Probing Surface Structure via timeofescape analysis of
gas in Knudsen regime. (With G. Yablonsky)
Chemical Engineering Science, Vol. 61, Issue 24, December 2006, pages 78647883.

Dynamics on the space of harmonic functions
and the foliated Liouville problem.
(With A. Zeghib) Ergod. Th. & Dynam. Sys. 25, 2005, 114.

A differentialgeometric view of normal forms of contractions.
In
Modern Dynamical Systems and Applications, Eds.: M. Brin, B. Hasselblatt, Y. Pesin.
Cambridge University Press, 2004, 103121.

Knudsen's cosine law and random billiards.
(With G. Yablonsky) Chemical Engineering
Science 59 (2004) 15411556.

Leafwise holomorphic functions.
(With A. Zeghib) Proceedings of the AMS, V.131, n.6,
17171725, 2003.

An introduction to cocycle superrigidity.
In Rigidity in
dynamics and number theory, Eds.: M. Burger and A. Iozzi. Springer (2002) pp. 99134.

Groups that do not act by automorphisms of codimensionone foliations.
(with D. Witte) Pacific Journal of Math, Vol. 204, No. 1 (2002) pp. 3142.

Ergodic theory and dynamics of Gspaces.
(With A. Katok).
Handbook of Dynamical Systems, v. 1A, Eds.: B. Hasselblatt, A. Katok. NorthHolland/Elsevier
(2002) pp. 665764.

Rigid geometric structures and actions of semisimple Lie groups.
In Rigidite, groupe fondamental et dynamique,
series Panoramas
et Syntheses, Ed.: Patrick
Foulon, 13, 2002, 121166.
 Cartan geometries and Dynamics.
With P. Lampe,
Geometriae Dedicata 80 (2000), pp. 2941.
 Topological Superrigidity and Anosov Actions of Lattices.
With
Francois Labourie, Annales Scientifiques de l'ENS, 4e. serie, t. 31
(1998) p. 599629.
 Dynamical Systems and Semisimple Groups
Tracts in
Mathematics, 126,
Cambridge University Press, 1998.

The minimal entropy theorem and Mostow rigidity
After Besson, Courtois and Gallot (expository). Not meant for publication. 1996(?)

Actions of discrete linear groups and Zimmer's conjecture
Journal of Differential Geometry, vol.42, no. 3 November (1995) pp. 554576.
 The invariant connection of a 1/2pinched Anosov
diffeomorphism and rigidity.
Pacific Journal
of Math., vol. 171 No. 1 (1995) pp. 139155.
 Hyperbolic dynamical systems, invariant geometric structures, and rigidity.
Mathematical Research Letters 1 (1994) pp. 1126.

Bounded Representations of Amenable Groupoids and Transference
(with S. Durand)
preprint, 1994.
 The center foliation of an affine diffeomorphism.
Geometriae Dedicata 46 (1993) pp. 233238.

Affine actions of higher rank lattices
Geometric and Functional Analysis
Vol. 3. No. 4 (1993) pp. 370394.
 Connectionpreserving actions of lattices in SL(n,R)
Israel Journal of Math. 79, 1992, pp. 121.
 Geodesic flows on manifolds of negative curvature with
smooth horospheric foliations
Ergod. Th. & Dynam. Sys. (1991),
11, 653686.
 Anosov flows with smooth foliations and rigidity of
geodesic flows in threeedimensional manifolds of negative curvature
With A. Katok.
Ergod. Th. & Dynam. sys. 10 (1990) pp. 657670.

Invariant tensor fields of dynamical systems with pinched
Lyapunov exponents and rigidity of geodesic flows
With A. Katok.
Ergod. Th. & Dynam. sys. 9 (1989) pp. 627632.
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