UK Nonlinear News, February 1998.

Announcements of Conferences and Meetings

North British Differential Equations Seminar (27 February 1998)

University of Glasgow

There will be a special meeting of the North British Differential Equations Seminar on Friday 27th Feb 1998 to celebrate its 25th anniversary. The meeting will be in the Mathematics Department of University of Glasgow.

Professor John Ball FRS (Oxford) will present a lecture at 4:30 pm, title and abstract as below.

J.M. Ball (Oxford) The calculus of variations after 300 years.

The start of the modern era of the calculus of variations was the posing and solution of the brachistochrone problem by Johann Bernouilli in 1696. The lecture will begin with a modern discussion of the brachistochrone problem, and then chart a selective path through some of the great contributions to the subject, leading to a discussion of current developments and possible future trends.

Further information can be obtained from Jeff Webb ( or from Dugald Duncan (

Source: Professor J.R.L. Webb (

The Royal Statistical Society

TIMSAC (Time Series and Applications) Study Group meeting. (12 March 1998, 4 to 6 pm, Tea at 4:45)

The Royal Statistical Society, 12 Errol Street, London EC1

Liudas Giraitis (visiting London School of Economics)
ARCH models: Stationarity, dependence structure and central limit theorem
Jochen Jungeilges (University of Osnabrueck, Germany)
WAVE - a wavelet based test for nonlinearity


Liudas Giraitis:
We examine general stationary ARCH models. Although the memory structure of ARCH sequences can be arbitrarily close to long-memory structure, we show that, in general, ARCH sequences exhibit short memory and satisfy the Central Limit Theorem. We compare ARCH models with other short and long-memory models.

Jochen Jungeilges:
We propose a test for non-linearity based on information contained in the wavelet coefficients on different scales obtained from a fast wavelet transform of the Daubechies type. The operational characteristics of the procedure are assessed, and we demonstrate the power of the WAVE test against non-linearities motivated by economic theory.

A L L A R E W E L C O M E !

Information on TIMSAC can be found on:

or by contacting
Ba"rbel Finkensta"dt email:
Department of Zoology phone/fax: +44 (0)1223 336644
University of Cambridge
Downing Street, Cambridge CB2 3EJ, UK

Source: Barbel Finkenstadt (

Seventh International Conference on Numerical Combustion (30 March - 1 April 1998)

St John's College, York

The International Conferences on Numerical Combustion, organised by SIAM, are the premier world forum for the theory and modelling of combustion processes. In spite of its name, the conference includes non-numerical matters as well as numerical issues, so that it has a very broad mathematical focus. The 7th conference in the series is being organised in York by the new UK and Ireland section of SIAM and has attracted an impressive range of contributions.

The programme for the conference is now complete. It includes 6 plenary lectures, 9 minisymposium sessions (36 presentations), 115 contributed presentations, and 9 poster presentations over the three days. Details are provided on the conference web pages at The quality and scope of the papers to be presented promise to make the three days an enjoyable and stimulating scientific occasion.

Registration fees have been kept low, and are especially low for students, with reductions available for members of SIAM and other bodies cooperating in the organisation of the conference. Details of registration fees, and forms for registration are available electronically, or can be obtained by contacting the organisers. The address and other contact details are given below.

Contributions cover all of the main current questions and activities in Combustion Theory, arranged around the themes:

Computation Modelling Detonation
Turbulence HydrodynamicsDust/Droplets
Fires/Explosions Propellants Ignition
Flames Burners Pollution
Kinetics HeterogeneousPorous media

Minisymposia have been organised around the topics:

The six plenary lectures are:

Philip Colella:Adaptive Numerical Methods and Models for Low-Mach Number Combustion
Anne Dowling: Thermo Acoustic Oscillations
Rupert Klein: Numerical Techniques for Low-Speed and High-Speed Premixed Combustion
Takashi Niioka:Stretch-Extinction and Radiation-Extinction of Counterflow Premixed and Diffusion Flames
Vincent Giovangigli: Multicomponent Transport in Flames
Richard Yetter:Detailed Modelling of Multi-Phase Combustion Phenomena in and around Chemically Reacting Particles

The address and other contact details for any query and for obtaining registration forms etc., are:

Address:- 7th ICNC, c/o Maths Department, UMIST,
Manchester M60 1QD, Britain
Fax:- (+44-161)-200-36-69
Telephone:- (+44-161)-200-36-41

Source: Bill Dold (

British Applied Mathematics Colloquium (6-9 April 1998)

Brunel University, Uxbridge UK

Second Call for Papers


Participation is open to all with an interest in the applications of mathematics. The Colloquium (including the <40th BTMC) will be broad in scope and while continuing to provide a forum for the areas in which British applied mathematics traditionally has strength, will seek to identify and highlight developing areas.

The invitation to participate extends to mathematicians, engineers, physicists and all others interested, from universities, industry, research establishments and colleges. We particularly encourage active involvement from younger researchers.

Plenary talks will be given by

Professor Sir James Lighthill FRS (UCL),
Professor D. Abrahams (Manchester),
Professor R. Grimshaw (Monash),
Professor J. King (Nottingham),
Professor A. Norris (Rutgers),
Professor N. Riley (UEA).

It is planned to hold minisymposia on the following topics:

Computational solid mechanics,
Industrial applied mathematics,
Inverse problems,
Quantum chaos.

Each minisymposium will address aspects of the subject in a manner suitable for non-specialists.

A special session, including demonstrations, will be held on Computer-aided learning in applied mathematics. The IMA will host an evening discussion entitled Post-Dearing, pre-SARTOR (chaired by Professor D.G. Crighton). There will be an ancillary meeting on Asymptotic and numerical methods in wave propagation, 5th to 6th April, organised by Dr R.H. Tew (


Those wishing to attend should return the registration forms available on the website below (preferably electronically) and their fees (by post, addressed to the Treasurer), by Friday 6th February 1998. Cheques should be made payable to Brunel University.

Financial support

We are greatly indebted to the following organisations for their generous support of the Colloquium and minisymposia: Basic Research Institute in the Mathematical Sciences (Hewlett-Packard), Brunel University (Faculty of Science), The Institute of Mathematics and its Applications, The London Mathematical Society, Midland Bank, The Quarterly Journal of Mechanics and Applied Mathematics, The Society for Industrial and Applied Mathematics, The Stewartson Memorial Fund.

Further information and enquiries

Information about the programme and the electronic registration form may be accessed at

Paper copies of the registration form can be printed off from the above address or obtained by post from the Chairman (Dr A.D. Rawlins), Treasurer (Dr C.J. Howls) or Secretaries (Drs S.N. Chandler-Wilde, M.J.L. Greenhow, J.B. Lawrie; Mr C.E. Tripp):

Department of Mathematics and Statistics, Brunel University,
Kingston Lane, Uxbridge, Middlesex, UB8 3PH, UK.
fax +44 (0) 1895 203303
telephone +44 (0) 1895 274000 extension 2271

Source: Andy Wathen (>).

Nonlinear Phenomena in Complex Systems: Chaos, Fractals, Phase Transition, and Self-organisation . (14-17 April 1998)

Minsk, Belarus

In addition to the subjects stated in the title the conference will cover the following frontier topics in modern nonlinear study.

The program will consist of reviewed reports and original talks for which contributions are invited.

Deadline: March 15, 1998. Participation is limited.

The registration fee, which covers all expenses in Belarus (local transport, accommodation, board, banquet, sightseeing tour), is $290. It may be paid at the place of registration.

For further information contact
Professor V.I. Kuvshinov
Institute of Physics AS of Belarus
F. Scaryna Av. 70
220071 Minsk
Fax: +(375-017) 2393131
Tel.: +(375-017) 2684559
Telex: 252277 nauka SU Institute of Physics

or read the web page

Source: Vadim Zelenkov (

UK Spatially Extended Dynamics Organisation Meeting (24 April 1998)

Queen Mary & Westfield College, London.

The third meeting of The UK Spatially Extended Dynamics Organisation (TUXEDO) is planned for Friday 24 April 1998 in the School of Mathematical Sciences, Queen Mary & Westfield College, London, supported by the LMS. Details will be available at

Source: Robert MacKay

Summer School on Nonlinear Phenomena (1-6 June 1998)

Peyresq, France

The INLN (Institut Nonlinéaire de Nice) organises an annual summer school on nonlinear phenomena held in Peyresq (a small village in the French Alps). This year it will run from Monday 1st June to Saturday 6th June, 1998.

The theme this year is Conservative Systems. There are 4 courses whose provisional titles are:

each consisting of 4 lectures of 90 minutes each.

The School is designed to be interdisciplinary: the first two courses are given by physicists, the other two by mathematicians, and the school is aimed primarily at Ph.D. students and young researchers, but more experienced researchers are very welcome; the school provides an opportunity to learn about developments in fields adjacent to their own.

For more details (including cost etc) see our home-page.

Source: James Montaldi (

Diffraction '98 (2-4 June 1998)

St. Petersburg, Russia

Faculty of Physics St. Petersburg Branch Euler International
St. Petersburg University Steklov Mathematical Institute Mathematical Institute

Scientific Committee Organising Committee
Professor V.M. Babich (Russia) Professor V.S. Buldyrev
Professor E.V. Jull (Canada) (The secretary) Dr. I.V. Andronov
Professor A.P. Kiselev (Russia) Dr. V.E. Grikurov, Dr. N.S. Zabavnikova
Dr. M.A. Ljalinov (Russia) Professor N.Ya. Kirpichnikova, Dr. Z.A. Janson

Traditional Topics of the Seminar
Asymptotic Methods Mathematical Aspects of Wave Phenomena Inverse Problems
Scattering and Diffraction Boundary-Contact Problems Waveguides and Resonators
Rays and Beams Waves in Non-Uniform Media Boundary Layers
Nonlinear Waves Propagation in Random Media Numerical Approaches

Contributions dealing with wave phenomena of any kind and related topics are welcome! The working language of the conference is English.

To submit a paper please send (submission via e-mail is highly encouraged) free format synopsis to one of

Professor V.M. Babich Professor V.S. Buldyrev
Steklov Mathematical Institute Institute on Physics, SPb University
Fontanka 27 Ulianovskaja 1
St. Petersburg 191011 Russia Petrodvoretz 198904 Russia
Fax: +7-812-310-5377 Fax: +7-812-428-7240

Authors of accepted presentations will be required to submit a camera-ready abstract (full A4 page in 10pt format, approximately 1000 words including formulas, pictures and references) to appear in the Conference Proceedings.

Submission of synopsis February 15, 1998
Submission of camera-ready abstracts April 1, 1998
Notification of acceptance and Visa support April 15, 1998
Advance program April 30, 1998

For more information please visit the Conference's home-page or contact either of

Ivan Andronov Valery Grikurov

Source: Valery E. Grikurov (

Dynamical Systems and Small Divisors (13-20 June 1998)

Cetraro, Italy

Scientific Organising Committee: J.-C. Yoccoz, S. Marmi

Purpose of the Conference

The purpose of this conference is to review some of the recent developments in the field of small divisors and their relation to dynamical systems, mathematical analysis, and mathematical physics.

In addition to the three courses given by Professor's Eliasson, Herman and Yoccoz there will be contributed seminars by the participants. A short description of the contents of the courses is provided below.

Place and Date

The meeting will be held in Cetraro, a seaside village of Calabria from June 13 to 20 1998. At this time of the year Calabria is a perfect surrounding to relax between intense scientific discussions. The village is easily accessible by both train and plane.


A limited number of grants covering the living expenses are available. If you require a grant please mention it with your application.

Preliminary Registration

At this stage all that is required is a declaration of interest in the meeting. Please use the application form available at the WWW site ( and click on the button APPLY NOW at the end of the page.

The deadline for registration is 30 April 1998, but potential participants are recommended to apply now.

Short description of the courses

  1. KAM-theory for linear quasi-periodic systems.
  2. Invariant Tori
  3. Geometrical methods in small divisor problems.

KAM-theory for linear quasi-periodic systems

Lecturer: Professor L.H. Eliasson, Department of Mathematics, Royal Institute of Technology, S-10044 Stockholm, Sweden.


We consider systems of linear differential/ difference-equations which have a quasi-periodic dependence in the unknown variable - often thought of as ``time''. These systems have a multiplicative part consisting of multiplication by a quasi-periodic scalar or matrix and a differential/difference part.

Two kinds of perturbation theory can be considered. If the multiplicative part is very small we perturb from a constant coefficient system which can be solved explicitly. In this case the aim of the perturbation theory is to construct quasi-periodic solutions. The case when the multiplicative part is very large can often be thought of as having a very small differential/difference part, in which case we perturb from a pure multiplicative system. In this case one looks for ``localised'' solutions.

There is a common feature in these two problems: the unperturbed part is an operator with a dense point spectrum and the problem is to construct point eigenvalues or even a dense point spectrum for the perturbed operator. The basic difficulty in such a perturbation theory turns out to be how to control the ``almost multiplicities'' of the eigenvalues.

The standard example used in this lecture course is the discrete one-dimensional quasi-periodic Schröodinger equation. Other examples will also be discussed.

Important contributions for these problems have been made by Dinaburg-Sinai, Moser-Pöschel, Krikorian, Frölich-Spencer-Wittver, Chuleavsky-Sinai and others. References are provided in my paper ``One-dimensional quasi-periodic Schrödinger operators - dynamical systems and spectral theory'' in the proceedings from ECM2 in Budapest 1996.

Invariant Tori

Lecturer: Professor M.R. Herman, Directeur de recherche, CNRS, Université de Paris 7 et Ecole Polytechnique, France.


Invariant tori are a crucial feature of not only of Hamiltonian dynamics, but also of volume-preserving dynamics and even general dynamics. Hamilton's implicit function theorem in Frechet spaces provides an efficient and flexible setting in which to study the existence of such tori. It allows simple proofs of classical results, such as the existence of diophantine invariant lagrangian tori in Hamiltonian dynamics, as well as less classical, but very basic ones, such as the existence of codimension one translated diophantine tori in general dynamics. Many important applications, in the Hamiltonian as well as the volume-preserving context, are considered.

Geometrical methods in small divisor problems

Lecturer: Professor J.-C. Yoccoz, Colléege de France, 3, Rue d'Ulm, 75231 Paris Cedex, France


  1. Diophantine approximation, continued fraction, Brjuno's condition, the arithmetical condition for analytic linearisation of analytic circle diffeomorphisms.
  2. Circle diffeomorphisms: a short review on the topological and smooth theory.
  3. Analytical circle diffeomorphisms: topological stability and analytical linearisability, periodic orbits in the neighbourhood. Statement of the main conjugacy result.
  4. Geometric renormalisation: what is the ``continued fraction'' of an analytic circle diffeomorphism.
  5. The inverse construction. Non-linearisable diffeomorphisms.
  6. Renormalisation with parameters: how Hörmander's L2 estimates on $\bar\partial$ is a substitute to one complex variable theory.

Source: Stefano Marmi ( MARMI@udini.math.UNIFI.IT).

School/Conference on Dynamical Systems: From Crystals to Chaos (29 June - 4 July 1998)

Marseilles, France


The field of dynamical systems is in constant evolution in many directions. This school focuses on interactions between discrete and geometric dynamical systems, and between dynamical systems, theoretical physics, and computer science. This summer school is followed by an international conference on the same topic.


  1. Symbolic dynamics and quasi-crystals:
    1. Auto-similarity.
    2. Fractals sets.
    3. Substitutions.
    4. K-theory.
  2. Dynamical systems: geometry and chaos:
    1. Statistical and ergodic behaviour.
    2. Non-linear physics.
    3. Turbulence.
    4. Multifractal analysis of complex systems.
  3. Interaction between geometric and symbolic systems:
    1. Coding problems.
    2. Geometric representation of symbolic systems.
    3. Adic systems.

Time will be reserved for tutorial lectures for specialised seminars and for informal discussions organised by the junior participants.

Invited Lecturers

Registration Information

Participants are encouraged to propose seminars talk on their current work. Titles and abstracts should be submitted before April 30th.

There is no registration fee.

Minimal lodging costs are around 1100 FF in student dormitories. Financial support is available under exceptional circumstances only. Further information is available on request.

Organising Committee

Contact Address

Ricardo Lima, Centre de Physique Th\'eorique,
C.N.R.S. Luminy case 907
13288-Marseilles Cedex 09
tel. 33-(0)491269524, fax: 33-(0)491269553

Source: Yves Elskens (

Conference on Dynamical Systems From Crystals to Chaos (6-10 July 1998)

Marseilles, France

Preliminary Announcement


The Centre de Physique Th\'eorique and the Institut de Math\'ematiques de Luminy are planning (subject to agreement from the appropriate authorities) to organise a conference in Marseilles from 6th to 10th July 1998.

This conference will focus on the interactions between discrete and geometric dynamical systems, and between dynamical systems, theoretical physics and computer science.

Main Axes of the Program

  1. Symbolic systems and quasi-crystals.

    Modelisation of some physical phenomena with regularity and auto-similarity properties; e.g tiling problems and fractal sets. The mathematical tools: symbolic dynamical systems, formal languages, and more precisely substitutions and their multidimensional generalisations. The physical properties of quasicrystals are described in term of quantisation involving the C*-algebra of observables. Their spectral properties may be classified in term of K-theory, Cantor spectrum, scaling laws and spectral exponents.

  2. Dynamical systems: geometry and chaos.

    Statistical and ergodic properties of dynamical systems. Applications to non-linear physics, with a particular interest in stability, chaos, turbulence and multifractal analysis of complex systems.

  3. Interaction between geometric and symbolic systems.

    Symbolic systems associated with a geometric system (coding problems), and, the more difficult, converse problem of geometric representation of symbolic systems. The case of two commuting transformations, one having a chaotic behaviour and the other an almost periodic structure (geodesic and horocycle flow, substitution and adic system).

Conference Organisation

Local organising committee
S\'ebastien Ferenczi IML,
Jean-Marc Gambaudo ENS Lyon,
Pascal Hubert IML and Universit\'e de la M\'editerran\'ee,
Ricardo Lima CPT,
Sandro Vaienti CPT and Universit\'e de Toulon,
Scientific committee
S. Aubry
Jean Bellissard
Michael Keane
Fran\c cois LedrappierPresident of the Committee
Anatoli Vershik
Jean-Christophe Yoccoz

We inform interested people that a a quarter-final and a semi-final of the soccer world cup will take place in Marseilles on the 4th and 7th of July respectively.

Source: Yves Elskens (

Mathematics and Physics of Higher-Dimensional Solitons (20-30 July 1998)


There will be a LMS Durham Symposium on: Mathematics and Physics of Higher-Dimensional Solitons between 20-30 July 1998. This meeting is organised by R.S. Ward and W.J. Zakrzewski.

For additional information please contact W.J. Zakrzewski.

Source: W.J. Zakrzewski (

Nonlinear Analysis and Convex Analysis. (28-31 July 1998)

Niigata Washington Hotel, Niigata, Japan.

Organisers: Niigata University, Tokyo Institute of Technology, and Hirosaki University

Conference Aims

The purpose of this conference is to gather together world-wide experts on nonlinear analysis and convex analysis with the aim of exchanging scientific information on generic and applied areas of the conference, and to discuss recent advances in theoretical and applied aspects of such topics.

The technical program will consist of invited lectures and contributed papers. Papers related to the following topics are appropriate for submission to the conference.

For more information about this conference, please contact Professor Tamaki Tanaka ( or visit the web-page at:

General Information

The conference will be held at Niigata City in Japan under the organisations of Niigata University, the Tokyo Institute of Technology, and Hirosaki University between July 28 and 31, 1998. All the sessions and the conference dinner will be held in the Niigata Washington Hotel, which is connected to Niigata railway station. The conference takes place in Japan in collaboration with researchers on the rim of Japan Sea.


Paper selection will be made on reviews of the draft papers by the members of the International Program Committee. Authors are invited to submit three copies of an extended abstract to the conference secretariat. It should include the title, the author(s), author's affiliation, e-mail address, fax number and postal address. The text should be typed in English on A4 size sheets, not exceeding four pages.

Social Events

The welcome reception party and the conference banquet will be held in the conference hotel on July 27 (Monday) and 29 (Wednesday) respectively. An excursion trip in Niigata city will be arranged by the organising committee.

Dates to Remember

December 15, 1997: Pre-registration (with abstracts).
January 31, 1998: Deadline for submission of extended abstracts. (4 pages)
March 31, 1998: Acceptance notification, and distribution of
registration/accommodation forms.
June 30, 1998: Deadline for early registration.
July 27, 1998: Welcome reception party in Niigata.
September 30,1998: Deadline for full papers.

Interested participants are required to preregister. The abstracts of accepted papers will be printed in the conference proceedings and will be distributed to all participants. The second announcement of the conference will be sent to all pre-registered authors after February 1, 1998. Conference program will be sent after June 1, 1998.


Sado Island is beautiful and very famous for sightseeing in the summer season. A ferry links Niigata city center with Sado Island, the journey time is approximately two and a half hours. There will be a fireworks show, as part of the Nagaoka Festival, on August 2 and 3.


Authors will have the opportunity to submit their contributed papers for publication. All plenary papers and selected invited/contributed papers will be included.

Conference Location

The conference is being held in Niigata City, population approximately 480,000, which is located on the coast of the Sea of Japan. The areas surrounding the city are famous for their rice-production, the highest in Japan. During the conference the rainy season will have finished and the temperature will be hot, but not too humid.

The city is two hours travel from Tokyo by Super-Express Train, about 340km, (Joetsu Shin-kan-sen). Niigata airport has direct flights to several Japanese cities (Memanbetsu, Sapporo, Hakodate, Nagoya, Osaka, Hiroshima, Fukuoka, Okinawa) as well as to Seoul in Korea and Irkutsk, Khabarovsk, Vladivostok in Russia.

Official Language

The official language of the conference is English. All presentations will be made in English. No arrangements are available for simultaneous translation.

Registration and Hotels

Upto June 30th the registration fee is 25,000 Japanese Yen for non-students and 15,000 Yen for students. On or after July 1st, the fees are 30,000 and 18,000 respectively. Participants can pay by credit card, bank transfer, or check to the following account:

Bank: The Bank of Tokyo-Mitsubishi, Ltd., Niigata Branch
Account Name: NACA98 Niigata
Account No.: 0522326

The fee covers all the conference materials, including welcome reception, banquet, morning and afternoon tea/coffee, and the proceedings. Cancellation fees will be deducted before refunds are made. All participants are requested to stay at Niigata Washington Hotel during the conference. Bed and breakfast for participants and their companions is 8,500 yen per night. Hotel reservations should be made by Fax: +81-25-241-1755 by June 30 to ensure this rate. Other hotels are available near Niigata railroad station.


To receive the second announcement and/or more information and correspondence, please contact the Conference Secretariat:

Dr. Tamaki Tanaka
Department of Information Science
Faculty of Science, Hirosaki University
Hirosaki 036, JAPAN.
Tel: +81-172-39-3639, Fax: +81-172-39-3626

Source: George X.Z. Yuan (

Modeling and Analysis in Medicine and Biology (6-8 August 1998)

Department of Mathematics, University of Michigan

The Department of Mathematics at the University of Michigan is hosting the first Michigan Interdisciplinary Mathematics Meeting on the topic ``Modeling and Analysis in Medicine and Biology''.

There will be only twelve talks, each suitable for a wide audience, summarising the state of the field, and outlining the outstanding problems. The talks will be appropriate, not only for specialists in the field, but also for those outside the field who wish to learn more about it, as well as for graduate students. There will be poster sessions on the evenings of the 6th and 7th, and participants are encouraged to submit abstracts.

Limited financial support is available. To apply, send a cv to, or contact one of the organisers directly.

Registration forms and further information are available online at ((This address does not work - UK Nonlinear News: 07-01-98)) Otherwise, email to or write to

Department of Mathematics
University of Michigan
2072 East Hall
525 East University Avenue
Ann Arbor, MI 48109-1109

Invited speakers:
Sally Blower
Robert Eisenberg
Bard Ermentrout
James Keener
Suzanne Lenhart
Jennifer Linderman
George Oster
Charles Peskin
Lee Segel
De Witt Sumners
Simon Tavare
John Tyson

Organisers: James Sneyd, Denise Kirschner, Kenneth Lange, Charles Doering

Source: Charles Doering (doering@math.lsa.umi).

Symmetry and Perturbation Theory (16-22 December 1998)

Rome, Italy

A Workshop on the subject of Symmetry and Perturbation Theory will take place in Rome (Italy) on 16 - 22 December 1998, hosted by the Physics Department of the Università di Roma I -- ``La Sapienza''.

This follows the workshop with the same title held in Torino in December 1996. (click on this link for the abstracts booklet)

The workshop will be limited in size and talks will cover only half of each day, allowing effective interaction among the participants.

Those interested in participation should contact G. Gaeta at or at (please use ``Subject: SPT98''). It would be useful if potential contributees could provide tentative title.

Further information is available at or through the Web page of Rome's Physics Department.

Source: Giuseppe Gaeta (

<< Move to UK Nonlinear News Issue Eleven Index Page (February 1998).
Last Updated: 21st January 1998.