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Phone: (617) 627-3843

Dynamical systems, especially in dimensions 1 and 2; braids; combinatorial/geometric group theory; history of mathematics.

For short vita, click here: Short Vita (5 pages)

For full vita, click here: Full Vita (14 pages)

- 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

- 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-Rainer 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
*Note: the version on arxiv does not contain scanned copies**of two letters which are included in the version linked here.*- Calculus in 3D: Geometry, Vectors and Multivariate Calculus (version of 8/20/2012)
- 830 pp.
- Subsum Sets: Intervals, Cantor Sets, and Cantorvals
- arXiv:1106.3779v1 [math.HO]
- 24 pp.
- Foliations and Conjugacy: Anosov Structures in the Plane (with J. Groisman)
- arXiv:1306.2670
- 24 pp.

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