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.JPG 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.
lunch5.bmp
lunch6.bmp
lunch7.bmp
lunch8.bmp
lunch9.bmp
lunch10.bmp
lunch11.bmp
lunch12.bmp

Some Pictures from the Riverwalk

If you have comments or suggestions, email me at jmclaughl@wcupa.edu