- Geometric random graphs and Rado sets of continuous functions (submitted).
- The total variation of invariant graphs in forced systems (submitted).
- Hilbert Space Lyapunov Exponent stability
(with G. Froyland and C. González-Tokman
*Trans. Amer. Math. Soc.*(to appear). - Geometric random graphs and Rado sets in sequence spaces (with A. Bonato and J. Janssen) (submitted).
- On irreducibility of Oseledets subspaces
(with C. Bose and J. Horan)
*Dynamical Systems: An International Journal*(to appear). - Dynamical analysis of a repeated game
with incomplete information (with X. Bressaud)
*Math. of Oper. Res.*(to appear). - Bratteli diagrams where random orders are
imperfect (with J. Janssen and R. Yassawi)
*Proc. Amer. Math. Soc.***145**(2017), 721-735. - Computing automorphism groups of shifts
using atypical equivalence classes (with E. Coven and R. Yassawi)
*Discrete Analysis***2016:3**. - A monotone Sinai theorem (with T. Soo)
*Ann. Prob.***44**(2016), 107-130. - Ergodic universality of some topological
dynamical systems (with T. Soo)
*Trans. Amer. Math. Soc.***368**(2016), 4137-4170. - Stochastic stability of Lyapunov exponents
and Oseledets splittings for semi-invertible matrix cocycles (with G. Froyland and C. González-Tokman)
*Comm. Pure Appl. Math.***68**(2015), 2052-2081. - A concise proof of the Multiplicative
Ergodic Theorem on Banach Spaces (with C. González-Tokman)
*J. Mod. Dyn.***9**(2015), 237-255. - Rudolph's two step coding theorem and Alpern's lemma for
*R*^{d}actions (with B. Kra and A. Şahin)*Trans. Amer. Math. Soc.***367**(2015), 4253-4285. - Detecting Isolated Spectrum of Transfer and Koopman
Operators with Fourier Analytic Tools (with G. Froyland and C. González-Tokman)
*J. Comput. Dyn.***1**(2014), 249-278. - Stability and approximation of random invariant densities for Lasota-Yorke map cocycles (with G. Froyland and C. González-Tokman)
*Nonlinearity***27**(2014), 647-660. - A semi-invertible operator Oseledets theorem (with C. González-Tokman),
*Ergodic Theory and Dynamical Systems***34**(2014), 1230-1272. - A semi-invertible Oseledets theorem with applications to
transfer operator cocycles (with G. Froyland and S. Lloyd)
*Discrete and Continuous Dynamical Systems***33**(2013), 3835-3860. - Class degree and relative maximal entropy
(with M. Allahbakhshi)
*Trans. Amer. Math. Soc.***365**(2013), 1347-1368. - Weak mixing suspension flows over shifts
of finite type are universal (with T. Soo),
*Journal of Modern Dynamics***6**(2012), 427-449. - Piecewise isometries, uniform distribution and 3 log(2)-π
^{2}/8 (with Y. Cheung and A. Goetz)*Ergodic Theory Dynamical Systems***32**(2012), 1862-1888. - Ergodic optimization of super-continuous functions (with J. Siefken)
*Ergodic Theory Dynamical Systems***32**(2012), 2071-2082. - Statistical properties of invariant
graphs in piecewise affine discontinuous forced systems (with B. Fernandez)
*Nonlinearity***24**(2011), 2477-2488. - Entropy Rate for Hidden Markov Chains with Rare Transitions (with Y. Peres) in Entropy of Hidden Markov Chains and Connections to Dynamical Systems, London Mathematical Society Lecture Notes in Mathematics, Cambridge 2011.
- Coherent structures
and isolated spectrum for Perron-Frobenius cocycles (with G. Froyland and S. Lloyd)
*Ergodic Theory and Dynamical Systems***30**(2010), 729-756. - Rates of divergence of non-conventional
ergodic averages (with M. Wierdl)
*Ergodic Theory and Dynamical Systems***30**(2010), 233--262. - Ergodicity and Mixing. Chapter in Encyclopedia of Complex Systems, Springer 2009.
- Distances in Positive Density Sets
*J. Comb. Th. A***116**(2009) 979-987. - Global Properties of Piecewise
Isometries (with A. Goetz)
*Ergodic Theory and Dynamical Systems***29**(2009), 545-568. -
Generalized polynomials and mild mixing
systems (with R. McCutcheon)
*Canadian J. Math.***61**(2009) 656-673. - Deterministic
representation for position dependent random maps. (with
W. Bahsoun and C. Bose)
*Discrete Contin. Dynam. Systems***22**(2008) 529--540. -
Balanced Sets and the Vector Game (with
Z. Nedev)
*International J. Number Th.***4**(2008) 339-347. -
Rates of approximation of minimizing measures
(with X. Bressaud)
*Nonlinearity***20**(2007), 845-853. -
Ergodic averages along the squares (with
M. Wierdl)
Appendix to 'Combinatorial and Diophantine Applications of Ergodic Theory'
by V. Bergelson, in
*Handbook of Dynamical Systems (Volume 1B)*(2006), 853--864. - Approximate transitivity for zero entropy
systems (with A. Dooley)
*Ergodic Theory Dynamical Systems***25**(2005), 443--453. - Ergodic averaging sequences; (with
M. Boshernitzan, G. Kolesnik and M. Wierdl)
*J. d'Anal. Math***95**(2005) 63--103. - Percolation in Voronoi tilings; (with
P. Balister and B. Bollobás)
*Random Struct. Alg.***26**(2005) 310-318. - Anomalous outcomes in preferential
voting
*Stochastics and Dynamics***4**(2004), 95--105. - Weak-
*L*^{1}estimates and ergodic theorems (with C. Demeter)*New York J. Math.***10**(2004), 169--174. - Periodicity and local complexity (with
L. Zamboni)
*Theor. Comp. Sci.***319**(2004), 229--240. - Generic points in Cartesian powers of the
Morse dynamical system (with E. Lesigne and M. Wierdl)
;
*Bull. Soc. Math. France***131**(2003), 435--464. - Entropy gaps and locally maximal entropy
in
**Z**^{d}subshifts (with A. Şahin)*Ergodic Theory Dynamical Systems***23**(2003), 1227--1245. - Measures of
relatively maximal entropy; (with K. Petersen and S. Shin)
*Ergodic Theory Dynam. Systems***23**(2003) 207--223. - Entropy along convex shapes, random tilings and
shifts of finite type; (with P. Balister and B. Bollobás)
*Illinois J. Math***46**(2002) 781--795. - Mappings of group
shifts; (with P. Trow)
*Israel J. Math***124**(2001) 333--365. - A generic C
^{1}expanding map has a singular S-R-B measure (with J. Campbell)*Comm. Math. Phys.***221**(2001) 335--349. - Subshifts of
multi-dimensional shifts of finite type; (with P. Trow)
*Ergodic Theory Dynam. Systems***20**(2000) 859--874. - Infinite paths in a Lorentz lattice gas
model;
*Probab. Theory Related Fields***114**(1999) 229--244. - Scaling Functions And Gibbs Measures And Teichmüller Spaces
Of Circle Endomorphisms;
(with G. Cui and Y. Jiang)
*Discrete Contin. Dynam. Systems***5**(1999) 535--552. - An entropy estimator for a class of infinite
alphabet processes;
*Teor. Veroyatnost. i Primenen***43**(1999) 496--507. - Most expanding maps have no absolutely
continuous invariant measure
*Studia Math.***134**(1999) 69--78. - Product and Markov measures of type III;
(with A. Dooley and I. Klemes)
*J. Austral. Math. Soc. Ser. A***65**(1998) 84--110. - Criteria for d-bar
continuity; (with Z. Coelho)
*Trans. Amer. Math. Soc.***350**(1998) 3257--3268. - Rigidity of continuous
coboundaries;
*Bull. London Math. Soc.***29**(1997) 595--600. - Invariant densities for C
^{1}maps;*Studia Math.***120**(1996) 83--88. - A C
^{1}expanding map of the circle which is not weak-mixing;*Israel J. Math.***93**(1996) 359--372. - Non-ergodicity for C
^{1}expanding maps and*g*-measures;*Ergodic Theory Dynamical Systems***16**(1996) 531--543. - Representation of Markov Chains on tori;
*Random Comput. Dynam.***1**(1992/3) 261--276. - Invariant measures for families of circle maps;
*Math. Proc. Cambridge Philos. Soc.***111**(1992), 585--597. - On representations of Markov chains by random smooth maps
*Bull. London Math. Soc.***23**(1991), 487--492.