Anthony Quas's Papers
Flexibility of the Pressure function (with T. Kucherenko) Commun. Math. Phys.
A multiplicative ergodic theoretic characterization of relative equilibrium states
(with J. Antonioli and S. Hong) Ergodic Theory Dynam. Syst. (to appear).
The lightning model (with J. Campbell and A. Deane) J. Theor. Prob. (to appear).
Lyapunov exponents for transfer operator cocycles of metastable maps: a quarantine approach
(with C. González-Tokman), Tr. Mosk. Math. Obs. (Transactions of the Moscow
Mathematical Society) 82 (2022), 65-76 [invited paper
in honour of 80th birthday of Valery Oseledets].
Random Composition of L-S-V Maps Sampled Over Large Parameter Ranges
(with C. Bose and M. Tanzi) Nonlinearity 34 (2021), 3641-3675.
- Stability and Collapse of the Lyapunov
spectrum for Perron-Frobenius Operator cocycles
(with C. González-Tokman) J. Eur. Math. Soc. 23 (2021), 3419-3457.
Multiple phase transitions on compact symbolic systems
(with T. Kucherenko and C. Wolf), Adv. Math. 385 (2021), 107768.
Geometric random graphs and Rado sets of continuous functions (with A. Bonato and J. Janssen),
Discrete Analysis 2021:3.
- Support stability of maximizing measures for shifts of finite type
(with J.S. Gonschorowski and J. Siefken) Ergodic Theory Dynam. Syst. 41 (2021), 869-880.
- Explicit bounds for separation between Oseledets subspaces (with P.
Thieullen and M. Zarrabi) Dynam. Syst. 34 (2019), 517--560.
- Hilbert Space Lyapunov Exponent stability
(with G. Froyland and C. González-Tokman) Trans. Amer. Math. Soc. 372 (2019), 2357--2388.
Geometric random graphs and Rado sets in sequence spaces
(with A. Bonato and J. Janssen) Eur. J. Comb. 79 (2019), 1-14.
- On irreducibility of Oseledets subspaces
(with C. Bose and J. Horan) Dynamical Systems: An International
Journal 33 (2018), 332--347.
The variation of invariant graphs in forced systems (with B. Fernandez),
Chaos 083101 (2018).
- Dynamical analysis of a repeated game
with incomplete information (with X. Bressaud) Math. of Oper. Res.
42 (2017), 1085--1105.
- 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
- 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),
- 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 Rd
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)-π2/8 (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),
Generalized polynomials and mild mixing
systems (with R. McCutcheon)
Canadian J. Math. 61 (2009) 656-673.
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
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
Appendix to 'Combinatorial and Diophantine Applications of Ergodic Theory'
by V. Bergelson, in Handbook of Dynamical Systems (Volume 1B)(2006),
- 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
votingStochastics and Dynamics 4 (2004), 95--105.
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 Zd 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)
- 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)
- 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)
- 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)
- Rigidity of continuous
coboundaries;Bull. London Math. Soc. 29 (1997)
- 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)
- Non-ergodicity for C1 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.