Dynamical Systems and Related Topics Workshop April 26 - April 29, 1997 University of Maryland at College Park All talks are in Math 3206 unless otherwise noted. Friday (Mathematics Department Colloquium) 3:00 John Milnor, SUNY at Stony Brook Monotonicity for cubic maps 8:00 Party at Mike Boyle's house Saturday 8:15 Coffee, Bagels, Registration in Room 3201 (Department Lounge) 9:00 Opening Remarks 9:15 Jacek Graczyk, Michigan State Univ. Box mappings in polynomial dynamics 10:15 BREAK (Engineering Classroom Building, Room 1202--NOTE CHANGE FROM PREVIOUS) 10:45 Marco Martens, SUNY at Stony Brook Real one-dimensional renormalization 1:30 Sergei Novikov, Univ. of Maryland Completely integrable Hamiltonian systems: algebraic model 2:45 David Hamilton, Univ. of Maryland Conjugation in complex dynamics 3:45 BREAK 4:15 Fabien Durand, CNRS Inst. de Math. de Luminy Bratteli diagrams and substitutions 8:00 Party at Michael Jakobson's house Sunday 8:30 Coffee and Bagels in Room 3201 (Department Lounge) 9:15 Gena Levin, Hebrew Univ. of Jerusalem On the topology and dynamics of real and complex polynomials 10:15 BREAK 10:45 Shunji Ito, Tsuda Coll. Unitary substitutions and domain exchange transformations with fractal boundaries 1:30 Elisabeth Pecou, CNRS Nice Dynamical cocycles in the Artin braid group Star Flex: the Next Generation (parallel sessions; 30 minute talks) 2:45 (Room B0423) Anthony Quas, Cambridge Univ. Ergodic Properties of Mirror Models (Room B0421) Sam Lightwood, Univ. of Maryland An embedding theorem for Z^2 subshifts 3:25 (Room B0423) Serge Yaskolko, Penn State Univ. Coincidence of various dimensions associated with metrics and measures on metric spaces (Room B0421) Tatiana Foth, Penn State Univ. Relative Poincare series on the complex hyperbolic spaces 3:55 BREAK 4:25 (Room B0423) Maki Furukado, Tsuda Coll. Complete residue systems and fractals 4:25 (Room B0421) Vadim Kaloshin, Princeton Univ. The Hilbert 16-th problem and an estimate for cyclicity of an elementary polycycle 5:05 (Room B0423) Hiromi Ei, Tsuda Coll. Decomposition theorem of invertible substitutions (Room B0421) Radu Orendovichi, Penn State Univ. On a Morse-Smale endomorphism related with coupled lattice maps Monday 8:30 Coffee and Bagels in Room 3201 (Department Lounge) 9:15 Jenny Harrison, Univ. of California/Rockefeller Univ. Limits of Stokes' theorem 10:15 BREAK 10:45 Anatole Katok, Penn State Univ. Measure-theoretic rigidity of centralisers and isomorphisms for algebraic actions of Z^k and R^k. 1:45 Karoly Simon, Univ. of Miskolc/Univ. of Washington Hausdorff dimension of some non-linear horseshoes in R^3 3:00 Colleen Cutler, Univ. of Waterloo Computing pointwise dimension by conditioning in time series 4:00 BREAK 4:30 Charles Tresser, IBM Thomas J. Watson Research Center Sine circle maps with given rotation interval Tuesday 8:30 Coffee and Bagels in Room 3201 (Department Lounge) 9:15 Marek Rychlik, Univ. of Arizona Algebraic integrability of rational and algebraic maps 10:30 Huyi Hu, Michigan State Univ. Decay of correlations for piecewise smooth maps with indifferent fixed points 11:45 Howie Weiss, Penn State Univ. A complete multifractal analysis of Gibbs measures with applications to ergodic theory