Anthony Quas's Papers

• Stability and approximation of random invariant densities for Lasota-Yorke map cocycles (with G. Froyland and C. González-Tokman) (submitted).
• Low complexity Alpern lemmas for R^d actions (with B. Kra and A. Şahin) (submitted).
• Ergodic universality of some topological dynamical systems (with T. Soo) (submitted).
• 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)-pi²/8 (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 and isolated spectrum for Perron-Frobenius cocycles (with G. Froyland and S. Lloyd) 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 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.
• 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.
• 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.
• Rates of approximation of minimizing measures (with X. Bressaud) 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 M. Wierdl) Appendix to 'Combinatorial and Diophantine Applications of Ergodic Theory' by V. Bergelson, in Handbook of Dynamical Systems (Volume 1B)(2006), 853--864.
• Rates of divergence of non-conventional ergodic averages (with M. Wierdl) Ergodic Theory and Dynamical Systems (to appear)
• Anomalous outcomes in preferential votingStochastics and Dynamics 4(2004), 95--105.
• Approximate transitivity for zero entropy systems (with A. Dooley) Ergodic Theory Dynamical Systems 25(2005), 443--453.
• Weak-L¹ 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.
• Ergodic averaging sequences; (with M. Boshernitzan, G. Kolesnik and M. Wierdl) J. d'Anal. Math95(2005) 63--103.
• Entropy gaps and locally maximal entropy in Z^dsubshifts (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 C¹ 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 measureStudia 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 C¹ maps;Studia Math. 120(1996) 83--88.
• A C¹ expanding map of the circle which is not weak-mixing;Israel J. Math. 93(1996) 359--372.
• Non-ergodicity for C¹ expanding maps and g-measures;Ergodic Theory Dynamical Systems 16(1996) 531--543.