AMS Special Session on Continued Fractions
This special session on continued fractions took place at the Joint Meetings in San Antonio, Texas, in January 2006. On this page you can find the schedule of talks, with links to abstracts and some pictures of the speakers. You will also find some pictures from the post-session lunch and a few pictures of the river walk.
Click on the title of the talk to read the abstract. Click on the .jpg or .bmp link for a picture from the talk (the .bmp files are slow to load).
Friday January 13, 2006, 8:00 a.m.-11:50 a.m.
AMS Special Session on Continued Fractions, I
Organizers:
Nancy Wyshinski, Trinity College Nancy.Wyshinski@trincoll.edu
James G. McLaughlin, Trinity College and West Chester University jmclaughl@wcupa.edu
8:00 a.m.
Convergence of continued fractions.
Lisa Lorentzen*, NTNU, Trondheim, Norway Lisa.bmp
9:00 a.m.
Some Problems Suggested by Ramanujan's Work on Continued Fractions.
Bruce C Berndt*, University of Illinois Bruce.bmp
9:30 a.m.
Multidimensional Continued Fractions and Toric Varieties.
Thomas Garrity*, Williams TomG.bmp
10:00 a.m.
Complex Continued Fractions.
Doug Hensley*, Texas A& M University DougH.bmp
10:30 a.m.
A Randomized Variant of the Jacobi-Perron Algorithm.
Richard C. Burge*, Cool, CA Richard.bmp
11:00 a.m.
Quasiconformal Connections Between Continued Fractions and Circle Packings.
G. Brock Williams*, Texas Tech University Brock.bmp
11:30 a.m.
A proof of the continued fraction expansion of exp(1/M).
Thomas J. Osler*, Rowan University ThomasJ.bmp
Friday January 13, 2006, 1:00 p.m.-3:50 p.m.
AMS Special Session on Continued Fractions, II
Organizers:
Nancy Wyshinski, Trinity College Nancy.Wyshinski@trincoll.edu
James G. McLaughlin, Trinity College and West Chester University jmclaughl@wcupa.edu
1:00 p.m.
Ramanujan's continued fractions via orthogonal polynomials.
Mourad E. H. Ismail*, University of Central Florida
Dennis Stanton, University of Minnesota
2:00 p.m.
Szeg\H{o} polynomials and para-orthogonal polynomials on the real line, and the associated
continued fractions.
A. Sri Ranga*, DCCE/IBILCE, Universidade Estadual Paulista
Cleonice F. Bracciali, DCCE/IBILCE, Universidade Estadual Paulista
Eliana X. de Andrade, DCCE/IBILCE, Universidade Estadual Paulista
2:30 p.m.
Parabolic Iterated Function Systems with Applications to the Backward Continued Fractions.
Eugen Andrei Ghenciu*, University of North Texas, Denton, Texas Eugen.bmp
3:00 p.m.
Distribution Analysis Using PPC-Continued Fractions.
William B. Jones, University of Colorado, Boulder
Walter M. Reid*, University of Wisconsin-Eau Claire Walter.bmp
3:30 p.m.
Continued Fraction Handbook Project.
William B. Jones*, University of Colorado, Boulder Bill.bmp
Saturday January 14, 2006, 8:00 a.m.-10:50 a.m.
AMS Special Session on Continued Fractions, III
Organizers:
Nancy Wyshinski, Trinity College Nancy.Wyshinski@trincoll.edu
James G. McLaughlin, Trinity College and West Chester University jmclaughl@wcupa.edu
8:00 a.m.
Accumulation Point Sets for Infinite Matrix Products and Continued Fractions.
Douglas C Bowman*, Northern Illinois University
James McLaughlin, West Chester University Doug.bmp
9:00 a.m.
A $q$-continued fraction and some new proofs of some old continued fraction identities
James Mc Laughlin*, West Chester University, West Chester, PA.
Douglas Bowman, Northern Illinois University
Nancy J Wyshinski, Trinity College, Hartford, CT. Jimmy.bmp
9:30 a.m.
Inhomogeneous Diophantine approximation for irrationals with quasi-periodic continued
fractions.
Mary E. Flahive*, Oregon State University
Richard T. Bumby, Rutgers, The State University of New Jersey
10:00 a.m.
Resurrecting the divided cell algorithm for inhomogeneous Diophantine approximation.
Richard T. Bumby*, Rutgers, The State University of New Jersey
Mary E. Flahive, Oregon State University RichardB.bmp
10:30 a.m.
Expressing real quadratic irrationals as period-two continued fractions and their
connections with diophantine approximation.
Edward B Burger*, Williams College Ed.bmp
The Post-Special Session Lunch
Below are some pictures from the post-session lunch.
Rumours that the San Antonio police had to be called at one point are totally unfounded.
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If you have comments or suggestions, email me at jmclaughl@wcupa.edu