January 15, 2001
O P - S F N E T Volume 8, Number 1
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Editor:
Martin Muldoon muldoon@yorku.ca
The Electronic News Net of the SIAM Activity Group
on Orthogonal Polynomials and Special Functions
Please send contributions to: poly@siam.org
Subscribe by mailing to: poly-request@siam.org
or to: listproc@nist.gov
o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
Today's Topics:
1. Workshop on Special Functions at FoCM'02
2. Conference "Applications of the Macdonald Polynomials"
3. OPSFA Symposium - Rome
4. Ian Sneddon Obituary
5. New book on Fourier Analysis
6. New book on Orthogonal Polynomials and Random Matrices
7. OP-SF preprints in xxx archive
8. About the Activity Group
9. Submitting contributions to OP-SF NET and Newsletter
Calendar of Events:
February 15-19: International Conference on Analytic Methods of
Analysis and Differential Equations, Minsk, Belarus 7.6 #2
April 17-20: Conference "Applications of the Macdonald Polynomials",
Newton Institute, Cambridge, UK 7.5 #2, 8.1 #2
June 18-22: Symposium on Orthogonal Polynomials, Special Functions and
Applications, Rome, Italy 7.3 #2, 8.1 #2
June 25 - July 6: Workshop "The Macdonald Polynomials",
Newton Institute, Cambridge, UK 7.5 #2
July 2-12: Summer School on Applied Analysis, Hong Kong 7.5 #3
July 9-13: SIAM Annual Meeting, San Diego, California, USA
See: http://www.siam.org/meetings/an01/
July 9-22: Summer School in Asymptotic Combinatorics,
St. Petersburg, Russia 7.6 #3
August 6-10: Analytic theory of continued fractions, orthogonal
functions and related topics, Grand Junction,
Colorado, USA 7.4 #5
August 20-24: 3rd International meeting on Approximation
Theory, Dortmund, Germany 7.4 #6
October 1-5: "Numerical Algorithms", Conference in Honor of Claude
Brezinski, Marrakesh, Morocco 7.3 #3
2002
July 22 - August 2: IMA Summer Program "Special Functions in the
Digital Age" Minneapolis, Minnesota, USA
See: http://www.ima.umn.edu/digital-age/
August 5-14: Workshop on Special Functions at FoCM'02, "Foundations of
Computational Mathematics" Minneapolis,
Minnesota, USA 8.1 #1
Future plans:
* There are plans to organize summer schools on "Orthogonal Polynomials and
Special Functions" in Europe during the coming three years:
- 2001 (probably September): in Germany (contact person: Rupert Lasser
)
- 2002 : in the Netherlands or Belgium (contact person: Erik Koelink
).
- 2003 (time undecided): in Portugal (contact person: Amilcar
Branquinho).
The coordinator of the three summer schools is Erik Koelink
(koelink@twi.tudelft.nl). These summer schools are part of our Activity
Group's scientific program. The scientific committee consists of Erik
Koelink, Rupert Lasser, Amilcar Branquinho, Paco Marcellan and Walter Van
Assche.
Topic #1 ------------ OP-SF NET 8.1 -------------- January 15, 2001
~~~~~~~~~~~~~
From: Tom Koornwinder
Subject: Workshop on Special Functions at FoCM'02
A workshop on Special Functions will be organized by Tom Koornwinder and Adri
Olde Daalhuis at the conference FoCM'02 at the IMA, Minneapolis, MN, USA, 5-14
August 2002. This workshop, one of nineteen workshops during this conference,
will run for 3 successive afternoons during 5-7 August 2002 (Monday - Wednesday).
This will be immediately after the IMA 2002 Summer Program "Special Functions in
the Digital Age" at the IMA in Minneapolis, 22 July - 2 August 2002.
Talks in the workshop are by invitation, but feel free to contact the
workshop organizers if you wish to present a talk.
Further information will appear on webpage
http://www.science.uva.nl/~thk/FoCM02/
Tom Koornwinder (thk@science.uva.nl)
Adri Olde Daalhuis (adri@maths.ed.ac.uk)
Topic #2 ------------ OP-SF NET 8.1 -------------- January 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: EuroConference: Applications of the Macdonald Polynomials
This inforamtion is taken from the web site:
http://www.newton.cam.ac.uk/programs/SFM/sfmw02.html
Isaac Newton Institute for Mathematical Sciences, Cambridge, UK
EuroConference
APPLICATIONS OF THE MACDONALD POLYNOMIALS
17 – 20 April 2001
Organisers: B. Leclerc, M. Nazarov, M. Noumi, J.-Y. Thibon
Topics/Theme of Conference: Macdonald polynomials and related special functions
in mathematical physics, harmonic analysis, and representation theory. In
particular: classical and quantum many-body problems, integrable models in
statistical physics and quantum field theory, quantum symmetric spaces,
deformations of Virasoro and W algebras, quantum Knizhnik-Zamolodchikov
equations.
Speakers: H. Awata, J.-F. van Diejen, C. Dunkl, J. Faraut, P. Forrester, K.
Hasegawa, G. Heckman, N. Jing, T. Koornwinder, K. Mimachi, S. Odake, E. Opdam, S.
Ruijsenaars, J. Shiraishi, J. Stokman, V. Tarasov.
Location and Cost: The EuroConference will take place at the Newton Institute
and accommodation for participants will be provided in single study bedrooms at
Wolfson Court, a hall of residence adjacent to the Institute. The workshop
package costs £300, which includes registration fee, accommodation, breakfast and
dinner from dinner on Monday 16 April until breakfast on Saturday 21 April 2001,
and lunches and refreshments on the days that lectures take place.
Please note: Due to the Easter Holiday, Accommodation at Wolfson Court is only
available from Monday 16 April until breakfast on Saturday 21 April 2001. If you
require additional nights’ accommodation before of after this period you will
need to arrange this. A list of nearby Bed and Breakfast accommodation and
Hotels is available. [See web site.]
The EuroConference is supported by the European Community and funding is
available to support some young researchers. It is intended for nationals of EC
Member States and of Iceland, Liechtenstein, Norway, Israel, Bulgaria, Cyprus,
Czech Republic, Estonia, Hungary, Latvia, Lithuania, Poland, Romania, Slovakia,
Slovenia and Switzerland, who must all be under 35 years of age. Self-supporting
participants of any age and nationality are welcome to apply.
Applications Forms: Completed application forms [see web site] should be sent to
Tracey Andrew, Programme and Conference Secretary, Isaac Newton Institute for
Mathematical Sciences, 20 Clarkson Road, Cambridge, CB3 0EH, UK, or via email to:
t.andrew@newton.cam.ac.uk
Extended Closing date: for receipt of applications is 31 January 2001
Tentative Program:
Tuesday 17 April
09.00-10.00 Registration
10.00-11.00 P Forrester (Melbourne)
Jack polynomials and the calculation of correlation functions in
many body systems I
11.00-11.30 Coffee
11.30-12.30 H Awata (Nagoya)
Deformed Virasoro algebras and related topics I
12.30-14.00 Lunch at the Centre for Mathematical Sciences
14.00-15.00 C Dunkl (Virginia)
Spherical harmonics of type B and generalized binomial coefficients
15.00-16.00 J Faraut (Marie Curie)
A Ramanujan formula for spherical Fourier series
16.00-16.30 Tea
16.30-17.30 K Hasegawa (Tohoku)
Deforming Noumi-Yamada's realization of Weyl group as rational
transformations
17.30-18.30 Welcome Wine Reception
Wednesday 18 April
10.00-11.00 P Forrester (Melbourne)
Jack polynomials and the calculation of correlation functions in
many body systems II
11.00-11.30 Coffee
11.30-12.30 S Odake (Shinshu)
Deformed Virasoro algebras and related topics II
12.30-14.00 Lunch at the Centre for Mathematical Sciences
14.00-15.00 G Heckman (Nijmegen)
The moduli space of rational elliptic surfaces
15.00-16.00 N Jing (Nijmegen)
Vertex representations and McKay correspondence
16.00-16.30 Tea
16.30-17.30 V Kuznetsov (Leeds)
On separation of variables for Schur polynomials
Thursday 19 April
10.00-11.00 M Olshanetsky (Moscow)
Multicomponent Painleve type equations and classical integrable
many-body systems
11.00-11.30 Coffee
11.30-12.30 J Shiraishi (Tokyo)
Deformed Virasoro algebras and related topics III
12.30-14.00 Lunch at the Centre for Mathematical Sciences
14.00-15.00 V Tarasov (Steklov)
Difference equations compatible with the Knizhnik-Zamolodchikov
differential equations
15.00-16.00 J Stokman (Amsterdam)
Gaussians associated with Macdonald-Koornwinder polynomials
16.00-16.30 Tea
16.30-17.30 E Opdam (Amsterdam)
to be announced
19.30- . Conference Dinner - Christ's College
Friday 20 April
10.00-11.00 J-F Van Diejen (Chile)
Elliptic Selberg integrals and applications
11.00-11.30 Coffee
11.30-12.30 S Ruijsenaars (CWI)
to be announced
12.30-14.00 Lunch at the Centre for Mathematical Sciences
14.00-15.00 K Mimachi (Kyushu)
A Cauchy formula for the Macdonald-Koornwinder polynomials and its
applications
15.00-16.00 T Koornwinder (Amsterdam)
to be announced
16.00-16.00 Tea
Topic #3 ------------ OP-SF NET 8.1 -------------- January 15, 2001
~~~~~~~~~~~~~
From: Organizing Committee
Subject: OPSFA - Roma
[This is an edited version of the Second Circular which appears at the new
web site: http://web2.mat.uniroma3.it/opsfa2001/]
SIXTH INTERNATIONAL SYMPOSIUM ON ORTHOGONAL POLYNOMIALS, SPECIAL FUNCTIONS AND
APPLICATIONS (OPSFA), ROMA - ITALY, JUNE 18 - 22, 2001
SECOND CIRCULAR
Dear colleague,
The Department of Mathematics of the University Roma Tre and the Department of
Mathematics "Guido Castelnuovo" of the University of Roma "La Sapienza" are
delighted to organize the Sixth international Symposium on Orthogonal
Polynomials, Special Functions and their applications (OPSFA), which will be held
for the first time in Roma on June 18 - 22, 2001. Since we received many
preregistration forms, we expect about 200 scientists from all over the world.
The Symposium is partially granted by C.N.R. - G.N.I.M. (National Research
Council - National Group for Mathematical Informatics).
As we wrote in the old web page, the Symposium will take place in a great hotel
situated at Lido di Ostia, which is a seaside resort on the outskirts of Roma;
all participants will be lodged in the same hotel, and will be freely transported
from and to the International Airport "Leonardo da Vinci" of Fiumicino (which is
a few km away) by the hotel's bus. Also, it is easy to reach the centre of Roma
from the Symposium site, since a new train station (Lido di Ostia Nord) was
opened near the hotel just a few months ago. Anyway, participants which do not
want to go to Roma may also find a very pleasant environment in Ostia.
We look forward to seeing you in Roma next June.
SCOPE, TOPICS AND PROGRAM
The 6th International Symposium OPSFA follows the European Conferences of
Bar-Le-Duc (France, 1984), Segovia (Spain, 1986), Erice (Italy, 1990), Granada
(Spain, 1991, VII SPOA), Evian (France, 1992), Delft (Holland, 1994, in honour of
Thomas Jan Stieltjes Jr. (1856-1894)), Sevilla (Spain, 1997, VIII SPOA) and Patra
(Greece, 1999, in honour of Theodore Chihara). It covers the field of orthogonal
polynomials and special functions and their applications in the other areas of
mathematics, physics and other sciences. This Symposium is a forum for
presentation and discussion of all aspects of orthogonal polynomials and special
functions, ranging from the fundamental to the applied.
The aim of the Symposium is to provide a common meeting ground for specialists in
orthogonal polynomials, special functions and related topics, such as moment
problems, rational approximation, matrix orthogonal polynomials, Sobolev
orthogonal polynomials as well as in the rich variety of scientific applications
of these objects.
The scientific program includes plenary lectures and research seminars. An
approximate timetable will be given in the third circular, which will be sent to
all those who register for the Symposium. The final program will be distributed
at the registration desk on June 17 (Sunday).
INVITED SPEAKERS
There will be 8 plenary lectures and about 100 research seminars or contributed
talks organized into parallel sessions. The time assigned for a plenary lecture
is 60 minutes (50 minutes for presentation and 10 minutes for discussion);
research seminars are assigned 25 minutes (20 minutes for presentation and 5
minutes for discussion). All participants are invited to submit a 25-minute
research seminar; please send us a short abstract (not more than 15 - 20 lines)
of your talk in TEX or LATEX format not later than March 31, 2001.
The invited speakers are:
R. Askey (University of Wisconsin - USA)
C. Dunkl (University of Virginia - USA)
À. Elbert (Academy of Sciences Budapest - Hungary)
D. Sattinger (Utah State University - USA)
D. Stanton (University of Minnesota - USA)
S. K. Suslov (Arizona State University - USA)
N. Temme (C.W.I. - Netherlands)
W. Van Assche (K.U. Leuwen - Belgium)
Invited speakers are also requested to send a one page abstract of their plenary
lecture in TEX or LATEX format not later than March 31, 2001.
PUBLICATIONS
The book of abstracts will be distributed to the participants upon registration
at the Symposium desk. The proceedings of the Symposium will be published on an
important international mathematics journal (more details will be given in the
third circular).
REGISTRATION FEES
Please complete the registration form at the web site
http://web2.mat.uniroma3.it/opsfa2001/
and return it before February 15, 2001 via Internet. You may also send it via air
mail to the Symposium mailing address:
Sixth International Symposium on Orthogonal Polynomials, Special
Functions and their Application
Dipartimento di Matematica Università Roma Tre
Largo S. Leonardo Murialdo, 1
00146 ROMA (Italy)
tel. ++390654888025, ++390654888008; fax ++390654888072.
In case of difficulty email us at the address opsfa2001@mat.uniroma3.it .
The following fees are applicable for the Symposium:
Participants: Euro 280.00
Students (under formal verification): Euro 120.00
After February 15, all participants and students (not accompanying
persons) must pay an additional fee of Euro 60.00 for late registration.
Accompanying persons Euro: 120.00
Participant's and student's fee includes:
transportation from the airport "Leonardo
da Vinci" to the hotel and vice versa;
admission to the Symposium;
Symposium documents;
book of abstracts;
Symposium Proceedings;
official reception / welcome drink;
lunch in the hotel from Tuesday to Friday;
guided visit to Roma's surroundings;
other social events being studied.
Accompanying person's fee includes:
transportation from the airport "Leonardo da Vinci" to the hotel and vice
versa;
official reception / welcome drink;
guided visit to Roma's surroundings;
other social events being studied.
Cancellation must be made in writing to the Organizing Committee.
The following rules will apply:
cancellation received before April 15, 2001: 80% refund;
cancellation received before May 25, 2001: 50% refund;
cancellation received from May 25, 2001 on: no refund.
ACCOMMODATION
All the participants will be lodged at the hotel SATELLITE PALACE - Via delle
Antille, 19 - 00121 Roma (Italy). The prices that we have arranged for the
Symposium are:
single room: 180,000 lire (Euro 92.96) per day
double room: 240,000 lire (Euro 123.95) per day
triple room: 330,000 lire (Euro 170.43) per day.
The registration fee of participants and students will include lunch (from Monday
18 to Friday 22) and the Conference banquet. Participants are asked to contact
the hotel directly in order to book rooms:
tel.: ++390656183
fax: ++39065695993 or ++39065692341
e-mail: satellitepalace@tin.it
OFFICIAL INVITATIONS
In special cases, the Organizing Committee will send a personal invitation for
participation to the Symposium. It should be understood that such an invitation
is not a commitment on the part of the organizers to provide any financial
support.
DEADLINES
Registration must be received before February 15, 2001. After sending the
form, please pay your registration fee as soon as possible. Abstracts of
plenary lectures and of research seminars must be received before March
31, 2001.
SCIENTIFIC COMMITTEE :
A. Laforgia (Università Roma Tre, Italy);
P. E. Ricci (Università "La Sapienza", Roma, Italy);
M. De Bruin (University of Delft, Netherlands);
F. Marcellan (Universidad Carlos III, Madrid, Spain);
P. D. Siafarikas (University of Patras, Greece);
M. Muldoon (York University, Canada);
R. Wong (City University of Hong Kong, China).
LOCAL ORGANIZING COMMITTEE:
Andrea Laforgia laforgia@mat.uniroma3.it
Paolo Emilio Ricci Paoloemilio.Ricci@uniroma1.it
Pierpaolo Natalini natalini@mat.uniroma3.it
Biagio Palumbo palumbo@mat.uniroma3.it
Fabrizio Pascucci poggi@uniroma3.it
Technical support: Tiziana Manfroni
FURTHER COMMUNICATIONS
The third (and last) circular will be sent in May only to those who send the
registration form. You are requested to register as soon as possible.
If you need further information please write an e-mail message to the
Secretary of the Symposium, at the address opsfa2001@mat.uniroma3.it, or
contact one of us directly (see e-mail addresses above).
Topic #4 ------------ OP-SF NET 8.1 -------------- January 15, 2001
~~~~~~~~~~~~~
From: Adam McBride
Subject: Ian Sneddon Obituary
PROFESSOR I.N.SNEDDON, OBE, FRS, FRSE
(1919-2000)
Ian Naismith Sneddon, formerly Simson Professor of Mathematics in the
University of Glasgow, died suddenly on 4 November 2000, aged 80.
Ian Sneddon was born in Glasgow and gained a First Class honours degree in
Mathematics and Natural Philosophy at the University of Glasgow in 1940.
He then headed off to Cambridge and did Part II of the Tripos. However,
the normal progression was interrupted because of the Second World War and
he went to the Armaments Research and Development Establishment at Fort
Halstead. There he met the eminent physicist Nevill (later Sir Nevill)
Mott and their collaboration continued after the War, leading to the
publication of a book on Wave Mechanics. By that time, Ian had returned to
Glasgow to take up a lectureship in Natural Philosophy. He was awarded a
DSc in 1948.
His interests were gradually moving from theoretical physics to classical
applied mathematics. In 1950, aged just 30, he was appointed the first
Professor of Mathematics at what was later to become the University of
Keele. However, Ian's heart was always in Glasgow and in 1956 he was
appointed to the new Simson Chair of Mathematics (named after the
geometer Robert Simson who is commemorated by the Simson Line of a
triangle). From then until the end of his days, Ian served the University
of Glasgow with great distinction, continuing as an Honorary Senior
Research Fellow after his official retirement in 1985.
Ian published many papers, covering topics ranging from elasticity through
ODEs and PDEs to applications of mathematics in biology and medicine.
However, it is perhaps through his textbooks that he is known to the
widest audience. In 1951 there appeared a large treatise on Fourier
Transforms, followed a few years later by one on Partial Differential
Equations. Special Functions were an enduring interest and Ian contributed
a volume on this topic to a series of undergraduate texts produced by the
Edinburgh firm of Oliver and Boyd, a series which was well known to
undergraduates of the 60s such as the present writer.
Later he wrote "The Use of Integral Transforms" (McGraw-Hill, 1972).
The front cover of my copy manages to get Ian's middle initial wrong but
otherwise it is a splendid book. The preface says that the book was based
on lectures to postgraduate students of Applied Mathematics, Physics and
Engineering given at various times in the University of Glasgow, North
Carolina State University and the State University of New York at Stony
Brook. This vividly illustrates the point that Ian was by then what the
airlines would now call a frequent flyer or a world traveller. A famous
quote summed it up thus: "If you stand at any crossroads in any American
city and wait long enough, Ian Sneddon will pass by" !
On one trip to Canada, he did some work with my own thesis supervisor,
Arthur Erdelyi, which is close to my heart. They showed how the
Erdelyi-Kober operators of Fractional Calculus could be used to study
systematically Dual Integral Equations of Titchmarsh type such as arise
from problems in potential theory. Previously, various authors had treated
special cases in an ad hoc manner. Erdelyi and Sneddon produced a unified
and elegant theory. This and other applications of Fractional Calculus are
discussed in Sneddon's wide-ranging survey article in the Proceedings of
the 1974 New Haven conference on Fractional Calculus, edited by Bertram
Ross (Lecture Notes in Mathematics, Vol 457, Springer, 1975) as well as
in his book on Mixed Boundary-Value Problems in Potential Theory
(North-Holland, 1966).
Apart from his transatlantic journeys, Ian had a strong affinity with
Poland. One vehicle for this was classical music, a lifelong passion. He
counted several composers among his close friends, notably Witold
Lutoslawski. In recognition of his work in fostering mathematical and
cultural ties between Poland and Scotland, he was made a Commander, the
Order of Polonia Restituta.
This was only one of many honours that Ian gained. He was elected a Fellow
of the Royal Society of Edinburgh in 1958 and a Fellow of the Royal
Society (of London) in 1983. He was made an Officer of the Order of the
British Empire (OBE) in 1969.
On the occasion of his 70th birthday a special volume on the mathematical
methods and applications of elasticity was produced, (edited by George
Eason and Ray Ogden, Ellis Horwood, 1990). In December 1999, for his 80th
birthday, another special conference was held. Ian showed more stamina
than some of younger members of the audience in sitting through seven
high-powered lectures and still leaving enough in reserve for the dinner
in the evening.
Ian liked good food, good company and good conversation. He had an almost
endless supply of anecdotes and stories to which he would regale his
friends, whether at home, at work or at lunchtimes in the Glasgow Art
Club. All of us who had the pleasure of knowing Ian have our own memories,
one of which must surely be his beautiful handwriting. Many have cause to
be grateful to Ian for advice and encouragement at various stages of their
careers. The world of Mathematics will be a poorer place without him .
Adam McBride
Department of Mathematics
University of Strathclyde
Glasgow, Scotland, UK.
Topic #5 ------------ OP-SF NET 8.1 -------------- January 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: New book on Fourier Analysis
[From the AMS web page]
Fourier Analysis
Javier Duoandikoetxea, Universidad del País Vasco/Euskal Herriko Unibertsitatea,
Bilbao, Spain
Expected publication date is January 11, 2001
Description
Fourier analysis encompasses a variety of perspectives and techniques. This
volume presents the real variable methods of Fourier analysis introduced by
Calderón and Zygmund. The text was born from a graduate course taught at the
Universidad Autónoma de Madrid and incorporates lecture notes from a course
taught by José Luis Rubio de Francia at the same university.
Motivated by the study of Fourier series and integrals, classical topics are
introduced, such as the Hardy-Littlewood maximal function and the Hilbert
transform. The remaining portions of the text are devoted to the study of
singular integral operators and multipliers. Both classical aspects of the theory
and more recent developments, such as weighted inequalities, H^1, BMO spaces,
and the T1 theorem, are discussed.
Chapter 1 presents a review of Fourier series and integrals; Chapters 2 and 3
introduce two operators that are basic to the field: the Hardy-Littlewood maximal
function and the Hilbert transform. Chapters 4 and 5 discuss singular integrals,
including modern generalizations. Chapter 6 studies the relationship between
H^1, BMO, and singular integrals; Chapter 7 presents the elementary theory of
weighted norm inequalities. Chapter 8 discusses Littlewood-Paley theory, which
had developments that resulted in a number of applications. The final chapter
concludes with an important result, the T1 theorem, which has been of crucial
importance in the field.
This volume has been updated and translated from the Spanish edition that was
published in 1995. Minor changes have been made to the core of the book; however,
the sections, "Notes and Further Results" have been considerably expanded and
incorporate new topics, results, and references. It is geared toward graduate
students seeking a concise introduction to the main aspects of the classical
theory of singular operators and multipliers. Prerequisites include basic
knowledge in Lebesgue integrals and functional analysis.
Contents
Fourier series and integrals
The Hardy-Littlewood maximal function
The Hilbert transform
Singular integrals (I)
Singular integrals (II)
H^1 and BMO
Weighted inequalities
Littlewood-Paley theory and multipliers
The T1 theorem
Bibliography
Index
Details:
Publisher: American Mathematical Society
Distributor: American Mathematical Society
Series: Graduate Studies in Mathematics, ISSN: 1065-7339
Volume: 29
Publication Year: 2001
ISBN: 0-8218-2172-5
Paging: 222 pp.
Binding: Hardcover
List Price: $35
Institutional Member Price: $28
Individual Member Price: $28
Order Code: GSM/29
Topic #6 ------------ OP-SF NET 8.1 -------------- January 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: New book on Orthogonal Polynomials and Random Matrices
[From the AMS web site]
Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach
Percy Deift, New York University-Courant Institute of Mathematical Sciences
Description
This volume expands on a set of lectures held at the Courant Institute on
Riemann-Hilbert problems, orthogonal polynomials, and random matrix theory. The
goal of the course was to prove universality for a variety of statistical
quantities arising in the theory of random matrix models. The central question
was the following: Why do very general ensembles of random n times n matrices
exhibit universal behavior as n -> infinity? The main ingredient in the proof is
the steepest descent method for oscillatory Riemann-Hilbert problems.
Titles in this series are copublished with the Courant Institute of Mathematical
Sciences at New York University.
Contents
Riemann-Hilbert problems
Jacobi operators
Orthogonal polynomials
Continued fractions
Random matrix theory
Equilibrium measures
Asymptotics for orthogonal polynomials
Universality
Bibliography
Details:
Publisher: American Mathematical Society
Distributor: American Mathematical Society
Series: Courant Lecture Notes, ISSN: 1529-9031
Volume: 3
Publication Year: 2000
ISBN: 0-8218-2695-6
Paging: 261 pp.
Binding: Softcover
List Price: $31
Institutional Member Price: $25
Individual Member Price: $25
Order Code: CLN/3
Topic #7 ------------ OP-SF NET 8.1 -------------- January 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: OP-SF preprints in xxx archive
The following preprints related to the field of orthogonal polynomials and
special functions were recently posted or cross-listed to one of the
subcategories of the xxx archives. See:
http://front.math.ucdavis.edu/math.CA
http://front.math.ucdavis.edu/math.CO
http://front.math.ucdavis.edu/math.QA
http://xxx.lanl.gov/archive/solv-int
Article math.CA/0011002
Title: Transmutation kernels for the little q-Jacobi function transform
Author: Erik Koelink, Hjalmar Rosengren
Categories: CA Classical Analysis (QA Quantum Algebra)
Math Subject Class: 33D15, 33D45, 47B36
Comments: 24 pages, AMS-TeX
From: Erik Koelink
Date: Wed, 1 Nov 2000 07:18:43 GMT (23kb)
Article math.CO/0011047
Title: A non-automatic (!) application of Gosper's algorithm evaluates a
determinant from tiling enumeration
Author: Mihai Ciucu (Georgia Institute of Technology, Atlanta), Christian
Krattenthaler (Universität Wien)
Categories: CO Combinatorics (CA Classical Analysis)
Math Subject Class: 05A15 (Primary) 05A16 05A17 05A19 05B45 33C20
52C20 (Secondary)
Comments: 13 pages, AmS-TeX, uses TeXDraw
From: Christian Krattenthaler
Date: Wed, 8 Nov 2000 14:00:50 GMT (21kb)
Article math.QA/0011046
Title: Orthogonal polynomials associated with root systems
Author: Ian G. Macdonald (Queen Mary and Westfield College)
Categories: QA Quantum Algebra (CA Classical Analysis; CO Combinatorics)
Journal reference: S\'eminaire Lotharingien Combin. 45 (2000), Article B45a,
40 pp
Comments: 40 pages, AmS-TeX. This is the 1987 preprint of the same title that
has been circulated privately only as a handwritten manuscript. It has now
been typed and published in the Séminaire Lotharingien de Combinatoire
From: Christian Krattenthaler
Date: Wed, 8 Nov 2000 13:48:36 GMT (27kb)
Article math-ph/0011025
Title: The $M_{L}(z);C_{L}(z);W_{L}(z)$ associated Laguerre Polynomials
Author: M. Mekhfi
Categories: MP Mathematical Physics (CA Classical Analysis; FA Functional
Analysis)
Math Subject Class: 33C45;34A35
Comments: Latex 2e, 12 pages
From: Mustapha MEKHFI
Date: Wed, 15 Nov 2000 07:38:27 GMT (6kb)
Article math-ph/0011021
Title: A Laguerre Polynomial Orthogonality and the Hydrogen Atom
Author: Charles F. Dunkl
Categories: MP Mathematical Physics (CA Classical Analysis)
Math Subject Class: 81Q05, 33C25
Comments: 7 pages, LaTeX
From: Charles F. Dunkl
Date: Mon, 13 Nov 2000 19:08:37 GMT (14kb)
Article math.CA/0012191
Title: Discrete bispectral Darboux transformations from Jacobi operators
Authors: F. Alberto Grünbaum, Milen Yakimov
Categories: CA Classical Analysis
Comments: 30 pages, AMS latex
From: Milen Yakimov
Date: Tue, 19 Dec 2000 22:16:34 GMT (28kb)
Article math.CA/0012078
Title: On some Definite Integrals involving the Hurwitz Zeta function
Authors: Olivier R. Espinosa, Victor H. Moll
Categories: CA Classical Analysis (GM General Mathematics; MP Mathematical
Physics)
Comments: 34 pages, AMS-LaTeX
From: Olivier R. Espinosa
Date: Mon, 11 Dec 2000 15:44:39 GMT (24kb)
Article math.CA/0012072
Title: On the valuation of arithmetic-average Asian options: Laguerre
series and Theta integrals
Author: Michael Schroeder
Categories: CA Classical Analysis (PR Probability Theory)
Math Subject Class: 44A10, 33C15, 60G40
Comments: 20 pages, 1 Figure
From: Michael Schroeder
Date: Mon, 11 Dec 2000 09:11:00 GMT (21kb)
Article math.RT/0012220
Title: Matrix balls, radial analysis of Berezin kernels, and
hypergeometric determinants
Author: Yurii A. Neretin
Categories: RT Representation Theory (CA Classical Analysis; CV Complex
Variables; FA Functional Analysis; MP Mathematical Physics)
Math Subject Class: 43A85, 22E46, 53C35, 32A25, 43A90, 33C05, 33E20,
15A15
Report number: ESI-974
Comments: 46 pages
From: Neretin Yurii.A.
Date: Thu, 21 Dec 2000 18:57:02 GMT (53kb)
nlin.SI/0012052 [abs, src, ps, other] :
Title: Some Examples of RS^2_3(3)-Transformations of Ranks 5 and 6 as
the Higher Order Transformations for the Hypergeometric Function
Authors: F.V.Andreev, A.V.Kitaev
Comments: 20 pages
Subj-class: Exactly Solvable and Integrable Systems
Topic #8 ------------ OP-SF NET 8.1 -------------- January 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: About the Activity Group
The SIAM Activity Group on Orthogonal Polynomials and Special Functions
consists of a broad set of mathematicians, both pure and applied. The
Group also includes engineers and scientists, students as well as experts.
We have around 140 members scattered about in more than 20 countries.
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Topic #9 ------------ OP-SF NET 8.1 -------------- January 15, 2001
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Submitting contributions to OP-SF NET and Newsletter
To contribute a news item to OP-SF NET, send email to poly@siam.org with a
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OP-SF NET is a forum of the SIAM Activity Group on
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We disseminate your contributions on anything of interest to the
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Send submissions to: poly@siam.org
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The elected Officers of the Activity Group (1999-2001) are:
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