Publications

Selected Publications, 1970-2000:

On semi-stability for diffeomorphisms
Inventiones math. 14 (1970) 83-122
Differentiable Dynamics: an Introduction to the Orbit Structure of Diffeomorphisms
(The MIT Press: Cambridge, Mass., 1971) 297 pp.;
translations:
◘ Izdat Mir, Moscow,1975
◘ Dept. of Math., Beijing Univ. 1979
Filtrations, decompositions and explosions (with M. Shub)
Amer. J. Math. 97 (1976) 1029-1047
Explosions in completely unstable flows
Trans. Amer. Math. Soc. 245 (1978) 43-88
Shift automorphisms in the Henon mapping (with R. Devaney)
Commun. Math. Phys. 67 (1979) 137-146
reprinted in:

Hamiltonian Dynamical Systems
R. S. Mackay & J. D. Meiss (eds.)
(Adam Hilger: Bristol & Philadelphia, 1987) pp. 555-565

Non-wandering sets of the powers of maps of the interval (with E. Coven)
Ergodic Theory & Dyn. Syst. 1 (1980) 9-31
Recurrent structure of completely unstable flows on surfaces of finite Euler characteristic
Amer. J. Math. 103 (1981) 143-180
Global structural stability of flows on open surfaces (with J. Kotus & M. Krych)
Memoirs Amer. Math. Soc. v. 37, no 261 (May, 1982) 104 pp.
Topological dynamics on the interval
in

Ergodic Theory and Dynamical Systems II
A. B. Katok (ed.)
(Birkhauser: Boston & Basel, 1982) pp. 1-73

Differential Equations–A First Course (with M. Guterman)
(Saunders College Publ.)
◘ First ed.: 1984, 651 pp.
◘ Second ed.: 1988, 742 pp.
◘ Third ed.: 1992 787 pp.
◘ Chaps. 1-5 reprinted (2006) by Indo American Books
Combinatorial patterns for maps of the interval (with M. Misiurewicz)
Memoirs Amer. Math. Soc. v. 94, no. 456 (Nov., 1991) 112 pp.
Braids and the Nielsen-Thurston classification (with D. Benardete & M. Gutierrez)
J. Knot Theory and its Ramifications 4 (1995) 549-618
Preimage entropy of mappings (with F. Przytycki)
Int. J. Bifurcation & Chaos, vol. 9 (1999) pp. 1815-1844
erratum
Hamiltonian stability in the plane (with X. Jarque)
Ergodic Theory & Dyn. Syst. 20(2000) pp.775-799

Papers and Manuscripts, 2000- :

Crossing matrices and Thurston’s canonical form for braids (with J. Burillo, M. Gutierrez & S. Krstic)
Topology and its Applications, vol. 118 (2002) pp. 293-308
Embedding groups of graph automorphisms in surfaces (with J. Los)
Topology 43 (2004) 49-69
Entropy and Preimage Sets (with Doris Fiebig and Ulf-Ranier Fiebig)
Ergodic Theory & Dyn. Syst. 23(2003) 1785-1806
Topological Entropy and the Preimage Structure of Maps
Real Analysis Exchange 29(1) (2003/4) 9-42
Topological Entropy of m-Fold Maps (with J. Bobok)
Ergodic Theory & Dyn. Syst. 25 (2005) 375-401
Topological Entropy of m-Fold Maps on Trees (with J. Bobok)
math arxiv math.DS0609299 (2006)
Ergodic Theory & Dyn. Syst. 27 (2007) 1-31
Topological Entropy for Non-uniformly Continuous Maps (with B. Hasselblatt & J. Propp)
math arxiv math.DS0511495 (2005)
Discrete & Continuous Dyn. Syst. 22(2008) 201-213
Calculus Deconstructed: A Second Course in First-Year Calculus
MAA Textbook Series, 2009. 507 pp.
On the Genesis of Symbolic Dynamics as We know it (with E. Coven)
math arxiv math.DS0611322 (2006)
Colloquium Mathematicum 110 (2008) No. 2, 227-242
Calculus in 3D: Geometry, Vectors and Multivariate Calculus (version of 8/20/2012)
830 pp.
Cantorvals and Subsum Sets of Null Sequences
AMER. MATH. MONTHLY 122 (2015) 862-870
Foliations and Conjugacy: Anosov Structures in the Plane (with J. Groisman)
Ergodic Theory & Dyn. Syst 35 (2015) 1229-1242