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- A monotone Sinai theorem (with T. Soo) (submitted).
- Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles (with G. Froyland and C. González Tokman) (submitted).
- Stability and approximation of random invariant densities for Lasota-Yorke map cocycles (with G. Froyland and C. González Tokman)
*Nonlinearity*(to appear). - Low complexity Alpern lemmas for
*R*^{d}actions (with B. Kra and A. Şahin)*Trans. Amer. Math. Soc.*(to appear). - Ergodic universality of some topological
dynamical systems (with T. Soo)
*Trans. Amer. Math. Soc.*(to appear). - A semi-invertible operator Oseledets theorem (with C. González Tokman),
*Ergodic Theory and Dynamical Systems*(to appear). - Weak mixing suspension flows over shifts
of finite type are universal (with T. Soo),
*Journal of Modern Dynamics***6**(2012), 427-449. - Statistical properties of invariant
graphs in piecewise affine discontinuous forced systems (with B. Fernandez)
*Nonlinearity***24**(2011), 2477-2488. - Piecewise isometries, uniform distribution and 3log(2)-pi
^{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. - 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. - Coherent structures
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*Ergodic Theory and Dynamical Systems***30**(2010), 729-756. - Ergodicity and Mixing. Chapter in Encyclopedia of Complex Systems, Springer 2009.
- Deterministic
representation for position dependent random maps. (with
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*Discrete Contin. Dynam. Systems***22**(2008) 529--540. -
Balanced Sets and the Vector Game (with
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*International J. Number Th.***4**(2008) 339-347. - 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.
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*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. -
Rates of approximation of minimizing measures
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*Nonlinearity***20**(2007), 845-853. -
Generalized polynomials and mild mixing
systems (with R. McCutcheon)
*Canadian J. Math.***61**(2009) 656-673. -
Ergodic averages along the squares (with
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ergodic averages (with M. Wierdl)
*Ergodic Theory and Dynamical Systems***30**(2010), 233--262. - Anomalous outcomes in preferential
voting
*Stochastics and Dynamics***4**(2004), 95--105. - Approximate transitivity for zero entropy
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*Ergodic Theory Dynamical Systems***25**(2005), 443--453. - 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
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*Bull. Soc. Math. France***131**(2003), 435--464. - Ergodic averaging sequences; (with
M. Boshernitzan, G. Kolesnik and M. Wierdl)
*J. d'Anal. Math***95**(2005) 63--103. - Entropy gaps and locally maximal entropy
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**Z**^{d}subshifts (with A. Şahin)*Ergodic Theory Dynamical Systems***23**(2003), 1227--1245. - Percolation in Voronoi tilings; (with
P. Balister and B. Bollobás)
*Random Struct. Alg.***26**(2005) 310-318. - Entropy along convex shapes, random tilings and
shifts of finite type; (with P. Balister and B. Bollobás)
*Illinois J. Math***46**(2002) 781--795. - Measures of
relatively maximal entropy; (with K. Petersen and S. Shin)
*Ergodic Theory Dynam. Systems***23**(2003) 207--223. - 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
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*J. Austral. Math. Soc. Ser. A***65**(1998) 84--110. - Criteria for d-bar
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