Symposium 24 – Denton, 2000
SUMMER SYMPOSIUM IN REAL ANALYSIS XXIV
The University of North Texas
May 23-27, 2000
During May 23-27, 2000, The University of North Texas will host Summer Symposium in Real Analysis XXIV. These symposia are considered to be the premier conferences of their type by members of the real analysis community, and are the only classical real analysis conferences which traditionally draw participants from North America, Western Europe, Eastern and Central Europe, and the countries of the former Soviet Union. Beginning with the sixth, this conference has alternated between North America and Europe. During the past decade, research communities of real analysts from these regions have effectively merged and the impact of this confluence on research has been dramatic. This past decade has witnessed a reemergence of Classical Real Analysis as one of the core subdisciplines of mathematics. Long taught as a core course at both the undergraduate and graduate levels, classical real analysis is regaining its more traditional role as a central player at the intellectual root of both modern applied and pure mathematics. Dramatic solutions to historic problems , surprising applications to other areas of mathematics and new applications of classical techniques have invigorated this branch of analysis.
Our symposium will highlight lectures by leading experts on some of these topics. Specifically, Summer Symposium 2000 will include a main focus on recent important work in dynamics and set theory; we plan to emphasize this focus by pairing each of six major lectures with a directed Analysis and Comment Session. In addition, we will provide a vibrant forum for the discussion of research problems, and allot prime speaking time to the young researchers. These portions of the Symposium are discussed in detail below.
The special nature of this event and the related high quality of the program has enabled the organizers to attract initial funding from several sources including: The University of North Texas. We have applied for NSF funding sufficient to enlarge the scope of participation to include a larger number of graduate students, beginning researchers, and those whose research interests are contiguous to work in real analysis. Funds to support participants will be distributed with this goal specifically in mind and, in general, on a reverse seniority basis. The schedule includes hour long lectures by six principal speakers, several invited twenty minute presentations, and two directed Research Problem Sessions. Time in the program has been reserved for young researchers, and the Research Problem Sessions have been designed to entice new people to work in newly developing areas.
The six principal speakers have all accepted our invitation. A brief description of each of our main speakers can be found below.
Zoltan Buczolich (Eötvös Loránd University, Budapest, Hungary)
In 1985, Zoli graduated with highest distinction from Eötvös Loránd University at a mathematical level somewhat equivalent to the masters degree in the U.S. During the same year he entered the Ph.D. program at Eötvös Loránd University as a scholarship student of the Hungarian Academy of Sciences.
He completed his Ph.D. thesis under the direction of Professor Miklós Laczkovich and received his Ph. D. degree from the Eötvös University in 1988. He is presently an Associate Professor in the Analysis Department at Eötvös University and has held year long visiting positions in the United States at both the University of California-Davis and at the University of Wisconsin-Milwaukee and a short term visitor position at the University of TelAviv.
Buczolich has published more than 50 research papers and his work includes major contributions to several areas: in classical real analysis he provided the geometric insight needed to complete Pfeffer's program of extending the Henstock integral to higher dmensions, in dynamical systems, he and Karen Brucks (Milwaukee) recently proved that the trajectory of the turning point of a tent map is co-sigma-porous, a significant improvement on known results, and he's made several contributions to the study of derivatives and derivative type properties of real functions.
More details may be found on:
http://www.cs.elte.hu/~buczo
Kenneth Falconer (Mathematical Institute, University of St Andrews, Scotland)
Ken took his undergraduate and PhD degrees at the University of Cambridge. After three years as a research fellow at Corpus Christi College Cambridge he became a lecturer and then a reader at the University of Bristol. In 1993 he became Professor in Pure Mathematics at the University of St Andrews. His main interests are in mathematical analysis and geometry, in particular in geometric measure theory and mathematics relating to fractals. His research topics include dimension calculations for attractors and repellers of dynamical systems and iterated function systems, projection and intersection properties of fractals and multifractals, and recently nonlinear PDEs on fractal domains. He has written four well-selling and widely-cited books, three of them on the mathematics of fractals, and over 70 papers. He receives many invitations to lecture and research across the world. In early 1999 he was Principal Organiser of a very successful four month Programme on Fractal Mathematics at the Isaac Newton Institute in Cambridge. He is an editor of the London Mathematics Bulletin, Journal and Proceedings and Fractals. He was elected a Fellow of the Royal Society of Edinburgh in 1998.
More details may be found on:
http://www-maths.dcs.st-andrews.ac.uk/~kenneth/index.html
J. P. Kahane (Universit/'e Paris-Sud, Mathématiques, Orsay, France)
Jean-Pierre Kahane is a senior mathematician. Over a period 50 years he published some 300 papers and a few books in different areas of analysis, number theory and probability. His main field is Fourier analysis and the main books are Ensembles parfaits et séries trigonometriques, with Raphaël Salem (1963), Séries de Fourier absolument convergentes(1970), Some random series of functions (1968, 1985, 1993), Fourier series and wavelets, with Pierre-Gilles Lemarié-Rieusset (1995, 1998 in the French version). He studied at Ecole normale supérieure, prepared his doctorate(1954) when he belang to CNRS (Centre National de la Recherche Scientifique), was elected Professor at the University of Montpellier, then at Orsay (1961), where he is now Professeur Émérite. He is a member of the Hungarian, Polish and French Academies of Sciences.
Michal Misiurewicz (Indiana University-Purdue University Indianapolis, Indiana, USA)
Michal completed his undergraduate and graduate studies in mathematics at Warsaw University in Poland, where he got his PhD in 1974. Afterwards he worked there, advancing from the Assistant Professor to the Full Professor with tenure. In 1990 he moved to the US. After visiting Northwestern University for a year and Princeton University for another year, he settled down at IUPUI at Indianapolis, Indiana. His principal domain of research is the theory of Dynamical Systems. He specializes in one dimensional systems, both smooth and continuous, topological entropy and rotation theory. He wrote a book and about 90 papers, collaborating with over 40 co-authors. He lectures at several conferences each year, from time to time co-organizing them. He is in the Editorial Board of three mathematical journals.
More details may be found on:
http://math.iupui.edu/~mmisiure/
Yuval Peres (University of California, Berkeley, California, USA)
Yuval was an undergraduate at Tel-Aviv University, and took his PhD at the Hebrew University under the direction of Hillel Furstenberg. He has taught at Yale University, at the University of California, Berkeley and at the Hebrew University, Jerusalem. He is an associate editor for Annales de l'Institut H. Poincare (Probab. et Stat.) Y. Peres's main research interests involve Hausdorff dimension questions, probability theory and their interaction. He was awarded the 1995 Rollo Davidson Prize (jointly with P. Biane) for his work `Intersection-equivalence of Brownian paths and certain branching processes', (Communications Math. Physics 177 (1996), 417-434). In 1997, he presented a series of invited lectures at the Saint Flour Summer School. More recent works of Y. Peres are "Entropy of convolutions on the circle" (with E. Lindenstrauss and D. Meiri, To appear in Annals of Math) and a joint paper with A. Dembo, J. Rosen and O. Zeitouni on the occupation measure of Brownian motion, that includes the solution of the Erdos-Taylor (1960) conjecture on planar simple random walk.
More details can be found at
http://www.ma.huji.ac.il/~peres
Alexander Kechris (California Institute of Technology, Pasadena, California, USA)
Alexander S. Kechris obtained his undergraduate degree at the National Technical University of Athens (in Mechanical and Electrical Engineering) and his PhD degree in Mathematics from UCLA. He has been a C.L.E. Moore Instructor at MIT before going to Caltech, where he became Professor of Mathematics in 1981. He served as Executive Officer (chair) of the Department of Mathematics at Caltech from 1994 to 1997. His main interests are foundations of mathematics; mathematical logic and set theory; and their interactions with analysis. Recent projects include the study of foundational and set theoretic questions in analysis, and the application of the methodology and results of descriptive set theory to classical real analysis, harmonic analysis, dynamics, model theory, and infinite combinatorics. He has published over 90 papers and 3 books (two with coauthors) and has been co-editor of 6 other collections. He also serves in the editorial boards of 6 mathematical journals. He has been invited to speak to many mathematical conferences and colloquia around the world, including invited addresses at several Annual and European Annual Summer Meetings of the Assosiation for Symbolic Logic, and International Summer Symposia in Real Analysis. He gave invited addresses at the 1986 Annual Meeting of the Amer. Math. Society, the 1979 International Congress of Logic, Method. and Philosophy of Science, and a 45-minute invited address at the 1986 International Congress of Mathematicians. He also gave a series of lectures under the Distinguished Lecture Series Program at Indiana Univ. in 1990 and a Millican Lecture at Univ. of North Texas in 1999. He was an A.P. Sloan Foundation Fellow from 1978 to 1982 . He was awarded an Honorary Doctoral Degree form the Univ. of Athens in 1987 and in 1998 he was Godel Lecturer at the Annual Meeting of the Assoc. for Symbolic Logic.
More details may be found on:
http://www.math.caltech.edu/people/kechris.html
Real Analysis Symposium
The tentative schedule includes main lectures on Wednesday morning (Buczolich), and afternoon (Falconer); Thursday morning (Peres); Friday morning (Misiurewicz) and afternoon (Kahane); Saturday morning (Kechris).
Research Problem Sessions
The program will also include a directed Research Problem Session on Wednesday evening from 7:00pm to 10:00pm. Research Problem Sessions were introduced by the Europeans at Summer Symposium XV in 1991 at Smolenica (now in Slovakia) and have become quite popular and successful ever since.
Time to Work
One of our high priority goals for this symposium is to create an atmosphere at the conference where people can begin collaborations on research problems. To be successful we must set aside time when participants can feel free to work. A too full schedule can be a deterent to the type of working atmosphere we wish to create. As such, we plan to set aside at least two hours each early afternoon when no activities are scheduled.
Participation
We anticipate that Symposium XXIV will attract a broad international audience from North and South America, Russia, Georgia, Japan, Taiwan, China, India and most every European country. Information concerning this conference was placed on the real analysis web page in May, 1999 and preregistration indicates that a majority of the most active research real analysts will attend the 2000 Summer Symposium.
Young Researchers
We have set aside at least five of the short presentations for first or second year Ph.Ds. In addition, we plan an active program of support to encourage and enable beginning researchers and graduate students to attend the conference and participate in its proceedings. Indeed this is one of the main objects of our fund raising efforts for Summer Symposium XXIV.
Advertising and Desemmination
Announcements of Summer Symposium XXIV will appear in the Real Analysis Exchange and in The Notices of the American Mathematical Society. In addition, flyers will be sent to departments and invitations sent to individuals. This conference is the next in a series of international symposia sponsored by the Editorial Board of the Real Analysis Exchange since 1978, and the millennium meeting will be the fifteenth time an American institution has served as host. As in the past, the proceedings of this symposium will be published in a special section of the Real Analysis Exchange.
The Host Institution
The host institution, The University of North Texas, is an ideal location to hold such a conference. The University will be on break during the period of the conference so that lecture halls, meeting rooms and the like will be readily available. The UNT web page contains a wealth of information about the University of North Texas and you can have a look by clicking HERE.
A map of the UNT campus and the surrounding area are found at these links. If you will be flying, you should fly to Dallas-Fort Worth International Airport. We will be running a shuttle from the airport to campus at regular intervals on May 23 and these will leave from outside the baggage claim area near the Hertz Car Rental Booth. Wait at the signs.
There is a commercial shuttle service which can be contacted with a 24 hour notice at 940-565-9936, if you arrive after hours. The airport is a short 40 minute drive from campus.
Housing
While there are several convenient hotels in Denton we encourage you to consider staying in the campus residences.
Conference grants will pay the cost of a shared room in the Bruce Residence Hall and for breakfast during the conference. Subject to availability, guests are welcome to stay with participants at the rate of 13.50 per night. A limited number of single rooms are available for an additional participant cost of 5.00 per night.
In general, room assignments will be made on a first come, first served basis. Upon request, residence hall rooms will be available Saturday night for those departing on Sunday. If your travel schedule is such that you will arrive earlier than Tuesday or depart later than Sunday, please contact us about making special arrangements for you.
For those interested in staying off campus, the La Quinta (940-387-5840) the Raddison Hotel (940-565-8499) offer reduced conference rates and adjoin campus.
The directors of this summers symposium are:
Dan Mauldin
Department of Mathematics
University of North Texas
Denton, TX 75203
Fax: (940) 565-4805
e-mail: mauldin@dynamics.math.unt.eduSteve Jackson
Department of Mathematics
University of North Texas
Denton, TX 75203
Fax: (940) 565-4805
e-mail: jackson@unt.eduPaul Humke
Department of Mathematics
St. Olaf College
Northfield, MN 55057
Fax: 507-646-3116 (use a coversheet)
e-mail: humke@stolaf.edu