January 19, 2017

Nato Advanced Studies Institute on

Program on Mathematics of Long Range Aperiodic Order

August 21 - September 1, 1995
The Fields Institute, Waterloo, Ontario, Canada

This is a workshop designed to survey and bring together the diverse mathematical approaches to the subject of long range aperiodic order. Lectures will cover gometric, arithmetic, algebraic, analytic, topological, combinatorial, stochastic, and physical aspects of the suject including quasicrystals, non-crystallographic symmetry, space filling tilings, diffraction and Fourier analysis, the frontier between order and disorder, automatic sequences, minimal surfaces and random walks.

Scientific Advisory Committee:

V. Elser (Cornell University), M. Mendès France (Université de Bordeaux), R.V. Moody (University of Alberta), J. Patera (Université de Montréal), M. Senechal (Smith College, MA)


R. V. Moody, Department of Mathematics, University of Alberta, Edmonton, Alberta and J. Patera, Centre de Recherches Mathématiques, Université de Montréal, Montréal. email:

Invited Lecturers:

C. Adams
(Williams College, Williamstown, MA)

P. Kramer
(University of Tübingen, Germany)
N. A. Bul'enkov
(Institute of Physical Chemistry, Moscow)
M. Mendès France
(Université Bordeaux 1, Talence)
L. Danzer
(University of Dortmund)
D. Mermin
(Cornell University, Ithica, NY)
F. M. Dekking
(Technical University, Delft)
Y. Meyer
(CEREMADE, Paris, Fance)
N. P. Dolbilin
(Steklov Mathematical Institute, Moscow)
R. V. Moody
(University of Alberta, AB)
V. Elser
(Cornell University, Ithica, NY)
J. Patera
(Université de Montréal)
D. P. DiVincenzo
(IBM Research, Yorktown Heights, NY)
C. Radin
(University of Texas, Austin, TX)
C. Godrèche
(CEA, Gif-sur-Yvette, France)
M. Senechal
(Smith college, Northhampton, MA)

A. Hof
(McMaster University, ON)

Le Tu Quoc Thang
(SUNY, Buffalo, NY)
T. Janssen
(University of Nijmegen, the Netherlands)

R. Penrose (Oxford University, UK), Fields Institute Distinguished Lecturer