1. Cocyclic Subshifts from Diophantine Equations, with David Buhanan, 2012 preprint.
2. Diophantine and Minimal but Not Uniquely Ergodic (Almost), with Mark Mathison, 2011 preprint revised in April 2012, Nonlinearity, no. 7, vol. 25
3. Young person's guide to translation surfaces of genus two: McMullen's Connected Sum Theorem, with Andy Bouwman, 2010 preprint. revised on 3 Aug 2012 for Rocky Mountain Journal of Mathematics.
4. Rigidity and Mapping Class Group for Abstract Tiling Spaces, 2009 preprint. on 3 Sept 2010, Ergodic Theory and Dynamical Systems (2011), no. 6, 1745--1783.
5. Topological friction in aperiodic minimal actions, 2008 preprint on 2 Sept 2009, Fundamenta Mathematicae 207 (2010), no. 2, 175--178.
6. A toral flow with the pointwise rotation set that is not closed 2006 preprint, 1--19, Nonlinearity, Volume 20, Number 9, September 2007, 2047-2061. PDF of the print version
7. Geometric realization and coincidence for reducible non-unimodular Pisot tiling spaces with an application to beta-shifts, 2005 preprint, joint work with Veronica Baker and Marcy Barge, Annales de l'Institut Fourier, 56 no. 7 (2006), 2213-2248.
8. Elements of the theory of unimodular Pisot substitutions with an application to $\beta$-shifts, 2004, preprint, joint work with Marcy Barge, appeared in proceedings: Algebraic and topological dynamics, 89--99, Contemp. Math., 385, Amer. Math. Soc., Providence, RI, 2005.
9. Hyperbolic pseudo-Anosov maps a.e. embed into a toral automorpism (a preliminary version), 2004, preprint, joint work with Marcy Barge, Ergodic Theory Dynam. Systems 26 (2006), no. 4, 961--972.
10. Geometric theory of unimodular Pisot substitutions, a polished version of the 2004, preprint, joint work with Marcy Barge on 3 Aug 2006, appeared in Amer. J. Math. 128 (2006), no. 5, 1219--1282. PDF of the print version (Also the older 2005 version with footnotes I liked and Mathematica 4 notebook generating Rauzy fractals, as depicted in the manuscript.)
11. A dynamical Proof of Pisot's Theorem, 2003 preprint, Canad. Math. Bull. 49 (2006), no. 1, 108--112.
12. Transfer Operator, Topological Entropy, and Maximal Measure for Cocyclic Subshifts, 2001 preprint, Erg. Th. & Dyn. Sys. 24 (2004), no. 4, 1173--1197.
13. Combinatorics of Torus Diffeomorphisms, 2001, preprint, Erg. Th. & Dyn. Sys. 23 (2003), no. 2,559--586.
14. A priori degeneracy of one-dimensional rotation sets for periodic point free torus maps, 2000 preprint, Trans. Amer. Math. Soc. 354 (2002), no. 7, 2865--2895. PDF of the print version Note: Theorem 1.1 may be wrong. The proof contains an error I do not know how to fix..
15. Poincare rotation number for maps of the real line with almost periodic displacement, 1999, preprint, Nonlinearity 13 (2000), 1841-1854. PDF of the print version
16. Homotopy and Dynamics for Homeomorphisms of Solenoids and Knaster Continua, May 1999, preprint, Fundamenta Mathematicae 168 (2001), 251-278.
17. Homotopy classes for stable periodic and chaotic patterns in fourth-order Hamiltonian systems, 1999 preprint, joint work with W.D. Kalies, R.C.A.M. VanderVorst, and J.B. van der Berg, Commun. Math. Phys. 214 (2000) 3, 573-592. (Note: Due to an error in the publishing process this paper had to be published again as Erratum: Homotopy classes for stable periodic and chaotic patterns in fourth-order Hamiltonian systems, Comm. Math. Phys. 215 (2001), no. 3, 707--728. PDF of the print version)
18. Cocyclic Subshifts, Math. Z. 234 (2000), no. 2, 255--290. PDF of the print version
19. Uniqueness of the stationary wave for the Extended Fisher Kolmogorov equation, 1997 preprint, J. Differential Equations 165 (2000), no. 1, 235--253. PDF of the print version
20. Horseshoes and the Conley index spectrum, joint with M.C. Carbinatto and K. Mischaikow, Erg. Th. & Dyn. Sys. 20 (2000), no. 2, 365--377.
21. Homotopy classes for stable connections between Hamiltonian saddle-focus equilibria, joint work with W.D. Kalies and R.C.A.M. VanderVorst, Comm. Math. Phys. 193 (1998), no. 2, 337--371. PDF of the print version
22. Asymptotic Entropy, Periodic orbits, and Pseudo-Anosov Maps, joint work with R. Swanson, Erg. Th. & Dyn. Sys. 18 (1998), no. 2, 425--439.
23. Monotonicity of Rotation Set for Toroidal Chaos of a Resonantly Kicked Linear Oscillator, Nonlinearity 11 (1998), no. 3, 547--555. PDF of the print version
24. Stability in a Semilinear Boundary Value Problem via Invariant Conefields, J. Differential Equations 141 (1997), no. 1, 86--101. PDF of the print version
25. On Quotient-Convergence Factors, J. Math. Anal. Appl. 209 (1997) 299-307.
26. On the Spectral Radius of a Directed Graph, J. of Graph Theory Vol. 23, No. 4 (1996) 405-411. pages in JPEG
27. Rotation Sets and Entropy, Ph.D. Thesis, SUNY at Stony Brook, 1995.
28. Annulus and billiard maps with asymptotic entropy, joint with R. Swanson, "New trends for Hamiltonian systems and celestial mechanics (Cocoyoc, 1994)", 237--247, Adv. Ser. Nonlinear Dynam., 8, World Sci. Publishing, River Edge, NJ, 1996.
29. A Toral Diffeomorphism with a Non-Polygonal Rotation Set, Nonlinearity 8 (1995) 461-476. PDF of the print version
30. An Estimate of Entropy for Toroidal Chaos, Erg. Th. & Dyn. Sys. 13 (1993), no. 1, 123--129. pages in JPEG
31. A Note on Multidimensional Volterra Integral Equations in $L^p$ Spaces, Houston J. of Mathematics 19 (1993) 275-280. pages in JPEG
32. Every Convex Polygon with Rational Vertices is a Rotation Set, Erg. Th. & Dyn. Sys. 12 (1992) 333-339. pages in JPEG
33. Weighted Norms and Volterra Integral Equations in $L^p$ Spaces, J. of Appl. Math. and Stoc. Anal. 4, no. 2 (Summer 1991) 161-164.

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Last Modified on 18 Oct 2012