# WMI Preprints 1993

1/1993

*Time-periodic spatially-periodic planforms in Euclidean equivariant pde,*

by B. Dionne, M. Golubitsky, M. Silber & I. Stewart

2/1993

*Evolutionary catastrophes, punctuated equilibria and gradualism in ecosystem evolution,*

by D.A. Rand & H.B. Wilson

3/1993

*Hamiltonian structure of plane-wave instabilities,*

by T.J. Bridges

4/1993

*Algebraic K-theory, homology spheres, and the ?-invariant,*

by J.D.S. Jones & B.W. Westbury

5/1993

*Symmetry groups of attractors,*

by P. Ashwin & I. Melbourne

6/1993

*Morava K-theories and dihedral groups,*

by M. Brunetti

7/1993

*Local reduction of symmetric Hamiltonian systems,*

by M.E.R. Sousa-Dias & R.M. Roberts

8/1993

*Steady PDEs on generalized rectangles: a change of genericity in mode interactions,*

by M.G.M. Gomes & I. Stewart

9/1993

*Orbit counting for some discrete groups acting on simply connected manifolds with negative curvature,*

by M. Pollicott & R. Sharp

10/1993

*Dynamics near an irrational collision of eigenvalues for symplectic maps,*

by T.J. Bridges, R.H. Cushman & R.S. MacKay

11/1993

*Diffusing through spectres: ridge curves, ghost circles and a partition of phase space,*

by R.S. MacKay & M.R. Muldoon

12/1993

*Rates of mixing for expanding maps and random compositions,*

by M. Pollicott

13/1993

*Unipotent elements in subgroups which contain a split maximal torus,*

by N.A. Vavilov

14/1993

*On the lattice of subgroups of Chevalley groups containing a split maximal torus,*

by A.L. Harebov & N.A. Vavilov

15/1993

*Density of orbits of symmetric maps,*

by P. Ashwin & I. Stewart

16/1993

*Detecting chaos in a noisy time-series,*

by H.B. Wilson & D.A. Rand

17/1993

*Non-ergodicity for C ^{1} expanding maps,*

by A.N. Quas

18/1993

*On extensions of Myers' theorem,*

by X-M. Li

19/1993

*Instability of spatially quasiperiodic states of the Ginzburg-Landau equation,*

by T.J. Bridges & G. Rowlands

20/1993

*On uniformly asymptotic behavior of diffusion process on manifold with lower bounded curvature,*

by Z. Qian

21/1993

On asymptotic behavior of diffusion process with singular drift,

by Z. Qian

22/1993

*On the Martin boundary of the Ornstein-Uhlenbeck operator on the white noise space (I),*

by Z. Qian

23/1993

*On the Martin boundary of the Ornstein-Uhlenbeck operator on the white noise space (II),*

by Z. Qian

24/1993

*Infinitesimal bending and twisting,*

by F.P. Gardiner

25/1993

The braid-permutation group,

by R. Fenn, R. Rimányi & C. Rourke

26/1993

*A family of 2(p-1)-sparse cohomology theories and some actions on h*(BCpn),*

by M. Brunetti

27/1993

*Looking at bent wires - Ae-codimension and the vanishing topology of parametrised curve singularities,*

by D. Mond

28/1993

*Strong p-completeness of stochastic differential equations and the existence of smooth flows on noncompact manifolds,*

by X-M Li

29/1993

*Liapunov stability and adding machines,*

by J. Buescu & I. Stewart

30/1993

*On Ornstein-Uhlenbeck semigroups with drift,*

by Z. Qian

31/1993

*Diffusion mediated invasion problem for an heteregeneous Lotka-Volterra competition model,*

by J.E. Furter & J. López-Gómez

32/1993

*Transitive sets with non-empty interior,*

by J. Buescu

33/1993

*Transition in wavy Taylor vortex flow,*

by G.P. King & H.L. Swinney

34/1993

*Gradient estimates and heat kernel estimates,*

by Z. Qian

35/1993

*Continuity of the phonon gap,*

by C. Baesens & R.S. MacKay

36/1993

*The one to two-hole transition for cantori,*

by C. Baesens & R.S. MacKay

37/1993

*Characterisation of the three sphere following Haken,*

by C. Rourke

38/1993

*Hopf Bifurcations on Generalized Rectangles with Neumann Boundary Conditions by M.G.M. Gomes and Ian Stewart*

39/1993

*Measuring Rotation Sets of Coupled Oscillators by Peter Ashwin and James W. Swift.*

40/1993

*Some questions of de giorgi about mean curvature flow of triply-periodic surfaces,*

by Brian White

41/1993

*Species and classifying spaces,*

by R. Fenn, C. Rourke & B. Sanderson.

42/1993

*Automatic group structures and comparison theorems in hyperbolic geometry,*

by Mark Pollicott & Richard Sharp.

43/1993

*On the motion of guiding centres,*

by Robert MacKay

44/1993

*On transport in hamiltonian systems,*

by Robert MacKay

45/1993

*Formulae for the derivatives of heat semigroups*

by K. D. Elworthy & X.-M. Li

46/1993

*The propagation of travelling waves for stochastic generalized KPP equations*

by K. D. Elworthy & H. Z. Zhao.

47/1993

*Curvature and topology: spectral positivity,*

by K. D. Elworthy X.-M. Li & Steven Rosenberg

48/1993

*Compactness of imbeddings of some Sobolev spaces,*

by Szymon Peszat

49/1993

*Sobolev spaces of functions on an infinite-dimensional domain,*

by Szymon Peszat

50/1993

*Periodic points and rotation vectors for torus diffeomorphisms,*

by Richard Sharp

51/1993

*Homeomorphisms which preserve simple geodesics,*

by Greg McShane

52/1993

*Topologically conjugate Kleinian groups,*

by Ken'ichi Ohshika

53/1993

*Divergent sequences of Kleinian groups,*

by Ken'ichi Ohshika

54/1993

*Infinitesimal rigidity of group actions with hyperbolic generators.*

by Mark Pollicott

55/1993

*Multiple self-intersections of geodesics and projecting flow invariant sets for negatively curved manifolds,*

by K. Burns & M. Pollicott.

56/1993

*Model categories and topological quantum field theories,*

by Gregor Masbaum & Colin Rourke

57/1993

Mode Interactions with Spherical Symmetry,

by S.B.S.D. Castro.

58/1993

*Mode Interactions with Symmetry,*

by S.B.S.D. Castro.

59/1993

*Quantization of Kahler Manifolds. III,*

by M. Cahen, S. Gutt & J. Rawnsley

60/1993

*A numerical Liapunov-Schmidt method with applications to Hopf bifurcation on a square,*

by Peter Ashwin, Klaus Bohmer and Mei Zhen

61/1993

*Sets, Lines and Adding Machines,*

by Jorge Buescu and Ian Stewart

62/1993

*On the Canonical GL2 (F2)- module structure of K(n)* (BZ/2 x BZ/2),*

by Maurizio Brunetti

63/1993

*On a class of Quasilinear stochastic differential equations of parabolic type: regular dependence of solutions on initial data,*

by Natasha Yu Goncharuk

64/1993

*Coupled Cells: Wreath Products and Direct Products,*

by Martin Golubitsky, Benoit Dionne and Ian Stewart

65/1993

*The Constrained Laipunov-Schmidt Procedure and Periodic Orbits,*

by Martin Golubitsky, Jerrold E. Marsden, Ian Stewart and Michael Dellnitz

66/1993

*Essay on Nonlinear Phenomena In Memory of Stephanos Pnevmatikos,*

by R.S. MacKay

67/1993

*Rotationally-ordered periodic orbits for multiharmonic area-preserving twist maps,*

by J. Ketoja & R. S. MacKay

68/1993

*Large Deviations, Gibbs Measures and Closed Orbits for Hyperbolic Flows,*

by Mark Pollicott

69/1993

*Classifying C ^{1+ε} Structures on Dynamical Fractals: 2. Embedded Trees,*

by A. A. Pinto & D. A. Rand

70/1993

*Classifying C*

by A. A. Pinto & D. A. Rand

^{1+ε}Structures on Dynamical Fractals: 1 The Moduli Space of Solenoid Functions for Markov Maps on Train Tracks,71/1993

*The Betti Numbers of the Moduli Space of Stable Rand 3 Higgs Bundles on a Rieman Surface,*

by Peter B. Gothen

72/1993

*Some thoughts on chaos in Engineering,*

by R. S. MacKay

73/1993

*Bifurcations of Stationary, Standing and Travelling Waves in Triply Diffusive Convection,*

by P. Ashwin, I. Moroz & M. Roberts.

74/1993

*Cohomological Rigidity of Algebraic Z*

^{d}-Actions,by K. Schmidt

75/1993

*Symmetry-Breaking Cascades and the Dynamics of Morphogenesis and Behaviour,*

by I. Stewart

76/1993

*Streamline Topology in Eccentric Taylor Vortex Flow,*

by P. Ashwin and G. P. King

77/1993

*Differentiation of heat semigroups and applications,*

by K. D. Elworthy and X.-M. Li

78/1993

*On the largest conjugacy class size in a finite group,*

by John. Cossey and Trevor Hawkes

79/1993

*Semi-classical eigenstates in the bottom of a multidimensional well,*

by T.F. Pankratova

80/1993

*The growth of the norms of the products of random matrices,*

by V. F. Lazutkin

81/1993

*A New Family of Einstein Metrics,*

by N. J. Hitchin

82/1993

*Renormalisation of bicritical circle maps,*

by R. S. MacKay

83/1993

*The Constrained Liapunov-Schmidt procedure and Periodic orbits,*

by Martin Golubitsky, Jerrold Marsden, Ian Stewart and Michael Dellnitz

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