# WMI Preprints 1994

1/1994

*Coordinate change eigenvalues for bimodal period doubling renormalisation,*

by R. S. MacKay, A. A. Pinto and J. B. J. Van Zeijts

2/1994

*A positive livsic theorem,*

by Mark Pollicott and Richard Sharp

3/1994

*Approximate Travelling Waves for Generalised and Stochastic KPP Equations,*

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

4/1994

*On Conservation of Probability and the Feller Property,*

by Z. Qian

5/1994

*On Bakry--Emery's Curvature Dimension Inequality and Applications,*

by Z. Qian

6/1994

*Poncelet Polygons and the Painleve Equations,*

by N. J. Hitchin

7/1994

*Symplectic Geometry on an Abstract Wiener Space and the Sine-Gordon Equation and Flows on the Wiener Space generated by Vector Fields with low regularity,*

by G. Peters

8/1994

*Sequences of reduced words in symmetric groups,*

by R. W. Carter

9/1994

*The Braid Graph,*

by R. W. Carter

10/1994

*The Braid Graph and Lusztig's Piecewise-linear function,*

by R. W. Carter

11/1994

*On Lusztig's Piecewise-Linear Function in Types A _{3} and A_{4},*

by R. W. Carter

12/1994

*The Boundary Walls of Regions of Linearity for Lusztig's Piecewise-linear Function,*

by R. W. Carter

13/1994

*Homotopy and Homology Vanishing Theorems and the Stability of Stochastic Flows,*

by K. D. Elworthy & S. Rosenberg

14/1994

*Cohomology of the complement of a free divisor,*

by F. Castro, L. Naravaez & D. Mond

15/1994

*Stochastic differential equation on noncompact manifolds : moment stability and its topological consequences,*

by Xue-Mei Li

16/1994

*The Hausdorff Dimension of ¬-Expansions with deleted digits,*

by Mark Pollicott and Karoly Simon

17/1994

*Some remarks on the classification of poisson lie groups,*

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

18/1994

*Operads, Homotopy Algebra, and Iterated Integrals for Double Loop Spaces,*

by E. Getzler and J. D. S. Jones

19/1994

*One sided invertibility and Localisation II,*

by C. R. Hajarnavis

20/1994

*Proof of existence of breathers for time-reversible or hamiltonian networks of weakly coupled oscillators,*

by R. S. MacKay and S. Aubry

21/1994

*Recent progress and outstanding problems in hamiltonian dynamics,*

by R. S. MacKay

22/1994

Harmonic Maps Bibliography

by F.E. Burstall, L. Lemaire & J. Rawnsley

23/1994

Kleinian Circle Packings,

by J. Parker

24/1994

*Drawing Limit Sets of Kleinian Groups Using Finite State Automata*

by G. McShane, J. Parker & I. Redfern

25/1994

*The Class and Coexponent of a Finite p-group,*

by Paul Sanders and Tom Wilde

26/1994

*Meromorphic Extension of the Selberg Zeta function for Kleinian Groups via Thermodynamic Formalism,*

by Andre Rocha

27/1994

*Nonclassical Periodic Models and Groups,*

by Min Lequan

28/1994

*An Approximate Renormalization for the Break-up of Invariant Tori with Three Frequencies,*

by R. S. MacKay, J.D.Meiss & J. Stark

29/1994

*On background filtering equations for SDE systems (direct approach),*

by Veretennikov, A. Yu

30/1994

*Using spatio-temporal chaos and intermediate-scale determinism in artificial ecologies to quantify spatially-extended ecosystems,*

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

31/1994

*Bubbling of Attractors and Synchronisation of Chaotic Oscillators,*

by Peter Ashwin, Jorge Buescu & Ian Stewart

32/1994

*On the asymptotic cone of groups satisfying a quadratic isoperimetric inequality,*

by P. Papasloglu

33/1994

*Coupled cells with internal symmetry part I: Direct Products,*

by Benoit Dionne, Martin Golubitsky, Ian Stewart

34/1994

*Coupled cells with internal symmetry part II: Direct Products, *

by Benoit Dionne, Martin Golubitsky, Ian Stewart

35/1994

*Weight elements of Chevalley groups,*

by Nikolai Vavilov

36/1994

*Dynamical systems of algebraic origin,*

by Klaus Schmidt

36a/1994

*Cores of hyperbolic 3-manifolds and limits of Kleinian groups,*

by J. W. Anderson & R. D. Canary

37/1994

*Nonnormal Del Pezzo Surfaces,*

by Miles Reid

38/1994

*Spin Canonical Invariants of 4-Manifolds and Algebraic Surfaces,*

by Andrei Tyurin

39/1994

*Poincaré series and comparison theorems for variable negative curvature,*

by M. Pollicott and Richard Sharp

40/1994

*The Hausdorff Dimension of the General Smale-Williams Solenoid,*

by Karoly Simon

41/1994

*Normal Form for Hopf Bifurcation of Partial Differential Equations on the Square,*

by P. Ashwin & M. Zhen

42/1994

*Three Topics in Hamiltonian Dynamics,*

by R. S. MacKay

43/1994

*Strongly Geodesically Automatic Groups are Hyperbolic,*

by P. Papasoglu

44/1994

*Multistability in Networks of Weakly Coupled Bistable Units,*

by R. S. MacKay and J. -A. Sepulchre

45/1994

*The Dynamics of Piecewise Monotonic Maps under small Perturbations,*

by Peter Raith

46/1994

*Topological Wiener-Wintner Ergodic Theorems and a Random L ^{2} Ergodic Theorem,*

by Peter Walters

47/1994

*Detecting the Symmetry of Attractors for Six Oscillators Coupled in a Ring,*

by M. Kroon & I. Stewart

48/1994

*Additive Relations in Fields : An Entropy Approach,*

by Thomas Ward

49/1994

*Automorphisms of Z*

^{d}-Subshifts of Finite Typeby Thomas Ward

50/1994

Closed Geodesic Distribution for Manifolds of Non-Positive Curvature,

by Mark Pollicott

51/1994

*Arithmetic expansions associated with rotation of the circle and with continued fractions,*

by A. M. Vershik and N. A. Sidorov

52/1994

*Rotation number for products of random matrices,*

by Paulo R. C. Ruffino

53/1994

*Quantization of Kahler manifolds. IV,*

by M. Cahen, S Gutt & John Rawnsley

54/1994

*The Dynamics for Generic One-Parameter Families of Maps,*

by Zhiming Zheng

55/1994

*Detecting symmetric chaos,*

by M. R. Owen, M. G. M. Gomes & G. P. King

56/1994

*Absolutely continuous invariant measures for a class of affine interval exchange maps,*

by Zaqueu Coelho, Artur Lopes and Luiz Fernando Da Rocha

57/1994

*Invasion, stability and evolution to criticality in spatially extended artificial host-pathogen ecologies,*

by D. A. Rand, M. Keeling & H. B. Wilson.

58/1994

*Falling Sperm Quality : fact or fiction? etc,*

by P. Bromwich, I. Stewart, J. Cohen & A. Walker.

59/1994

*Algorithms to disprove the Poincaré Conjecture,*

by C. P. Rourke

60/1994

*Po^les et conjugaison complexe,*

by Ahmed Jeddi

61/1994

*A New Setting for q-Schur Algebra,*

by R. Green

62/1994

*A Straightening Formula for Quantized Codeterminants,*

by R. Green

63/1994

*q-Schur Algebras as Quotients of Quantized Enveloping Algebras,*

by R. Green

64/1994

*Bending formulae for convex hull boundaries,*

by J. R. Parker & Caroline Series.

65/1994

*A classification of map-germs (C*

^{2}, 0) to (C^{3}, 0) up to A-equivalence,by Diana Ratcliffe.

66/1994

*The Circle Problem on Surfaces of Variable Negative Curvature,*

by M. Pollicott & R. Sharp.

67/1994

*Sequences of Reduced Words in Coxeter Groups of type D,*

by John W. Cockerton.

68/1994

*The Braid Graph of type D,*

by John W. Cockerton.

69/1994

*The Sequence of Reduced Words in Coxeter Groups of type B,*

by John W. Cockerton.

70/1994

*The Braid Graph of type B,*

by John W. Cockerton

71/1994

*On Lusztig's Piecewise-Linear Function in Types D*

_{4}, B_{3}and G_{2},by John W. Cockerton.

72/1994

*On Lusztig's Piecewise-Linear Function in Type A*

_{5}and a Counterexample to a Positivity Conjecture,by John W. Cockerton.

73/1994

*Renormalization of algorithms and uniform distribution,*

by P. Hubert & Y. Lacroix.

74/1994

*From attractor to chaotic saddle : a tale of transverse instability,*

by P. Ashwin, J. Buescu & I. Stewart.

75/1994

*Canonical bases for fundamental modules of quantized enveloping algebras of type A,*

by R. J. Marsh.

76/1994

*Canonical bases for the miniscule modules of quantized enveloping algebras of types B and D,*

by R. J. Marsh.

77/1994

*The canonical basis for some fundamental modules of quantum groups of classical type,*

by R. J. Marsh.

78/1994

*Canonical bases and standard monomials,*

by R. J. Marsh

79/1994

*On the adjoint module of a quantum group,*

by R. J. Marsh

80/1994

*The importance of strictly local martingales, applications to radial Ornstein-Uhlenbeck processes,*

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

81/1994

*Floer homology and Novikov rings,*

by Helmut Hofer & D. Salamon

82/1994

*Transversality in elliptic Morse theory for the symplectic action,*

by A. Floer, H. Hofer & D. Salamon

83/1994

*Lagrangian intersections in contact geometry,*

by Y. Eliashberg, H. Hofer & D. Salamon

84/1994

*The Tree Representation of ›n + 1,*

by Alan Robinson & Sarah Whitehouse.

85/1994

*Fracmat Chaos-Theoretic Data Analysis in the Quality Control of Wire for Spring Manufacture,*

by Mark Muldoon & Ian Stewart

86/1994

*Recognising dualities of groups,*

by S. E. Stonehewer & G. Zacher

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