AMS Sectional Meeting Program by Special Session
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2003 Spring Western Section Meeting
San Francisco, CA, May 34, 2003
Meeting #987
Associate secretaries:
Michel L Lapidus, AMS
lapidus@math.ucr.edu,
lapidus@mathserv.ucr.edu
Special Session on Numerical Methods, Calculations and Simulations in Knot Theory and Its Applications

Saturday May 3, 2003, 8:00 a.m.10:50 a.m.
Special Session on Numerical Methods, Calculations and Simulations in Knot Theory and Its Applications, I
Room 327, Thornton Hall
Organizers:
Jorge Alberto Calvo, North Dakota State University jorge_calvo@ndsu.nodak.ed
Kenneth C. Millett, University of California Santa Barbara millett@math.ucsb.edu
Eric J. Rawdon, Duquesne University rawdon@mathcs.duq.edu

8:00 a.m.
Numerical simulations of random knotting using the FVM method.
Rob Scharein*, Centre for Experimental and Constructive Mathematics
Greg Buck, St. Anselm College
(98755193)

8:30 a.m.
Thermodynamics and Topology of Disordered Knots: Correlations in Trivial Lattice Knot Diagrams.
Sergei Nechaev*, LPTMS (Orsay, France)
(9876298)

9:00 a.m.
Scaling behavior of the average crossing number in equilateral random knots.
Akos Dobay, University of Lausanne
Yuanan Diao, University of North Carolina at Charlotte
Rob Kusner, University of Massachusetts at Amherst
Andrzej Stasiak*, University of Lausanne
(98754142)

9:30 a.m.
Scaling Behavior of Closed and Open Random Knots.
Akos Dobay*, University of Lausanne
Dubochet Jacques, University of Lausanne
Kenneth C. Millett, University of California, Santa Barbara
PierreEdouard Sottas, Swiss Federal Institute of Technology
Andrzej Stasiak, University of Lausanne
(98765140)

10:00 a.m.
Topological entropic force associated with the topological swelling of random knots and links.
Tetsuo Deguchi*, Dept. of Physics, Ochanomizu University
(98782105)

10:30 a.m.
An Exploration of the Local Structure of Knot Space.
Kenneth C. Millett*, University of California,Santa Barbara
(98757201)

Saturday May 3, 2003, 3:00 p.m.5:50 p.m.
Special Session on Numerical Methods, Calculations and Simulations in Knot Theory and Its Applications, II
Room 327, Thornton Hall
Organizers:
Jorge Alberto Calvo, North Dakota State University jorge_calvo@ndsu.nodak.ed
Kenneth C. Millett, University of California Santa Barbara millett@math.ucsb.edu
Eric J. Rawdon, Duquesne University rawdon@mathcs.duq.edu

3:00 p.m.
Some conjectures on the enumeration of alternating links and tangles.
Paul G ZinnJustin*, LPTMS, Universite Parissud
(9870570)

3:30 p.m.
The Yenergy of knots.
Jun O'Hara*, Tokyo Metropolitan University
(98753178)

4:00 p.m.
Quadrisecants of 3superbridge knots.
Gyo Taek Jin*, Korea Advanced Institute of Science and Technology
Miyoung Lee, Korea Advanced Institute of Science and Technology
(98757175)

4:30 p.m.
Ordered groups, topology and computation.
Dale Rolfsen*, University of British Columbia
(9870675)

5:00 p.m.
Meridians of Hyperbolic Knots.
Colin C Adams*, Williams College
(98757138)

5:30 p.m.
Flat Knotted Bands.
Louis H. Kauffman*, University of Illinois at Chicago
(9875779)

Sunday May 4, 2003, 8:00 a.m.10:50 a.m.
Special Session on Numerical Methods, Calculations and Simulations in Knot Theory and Its Applications, III
Room 327, Thornton Hall
Organizers:
Jorge Alberto Calvo, North Dakota State University jorge_calvo@ndsu.nodak.ed
Kenneth C. Millett, University of California Santa Barbara millett@math.ucsb.edu
Eric J. Rawdon, Duquesne University rawdon@mathcs.duq.edu

8:00 a.m.
On the ropelength of infinite families of knots.
Claus Ernst*, Western Kentucky University
Yuanan Diao, UNCC
(98757150)

8:30 a.m.
The effects of a topoogical consrtaint and excluded volume on the gyration radius of a ring polymer.
Miyuki K Shimamura*, Tokyo, Japan
(98765133)

9:00 a.m.
Topological States of Circular DNA Obtained in SiteSpecific Recombination.
Alexander V Vologodskii*, New York University
(98792139)

9:30 a.m.
Sedimentation dynamics of rigid, knotted filaments.
Oscar Gonzalez*, University of Texas
(98776190)

10:00 a.m.
Numerical simulation of gel electrophoresis of DNA knots.
Giovanni Dietler*, University of Lausanne
Paolo De Los Rios, University of Lausanne
Cedric Weber, University of Lausanne
Marc Fleurant, University of Lausanne
(98782148)

10:30 a.m.
8bar Tangling Blues.
G R Buck*, St. Anselm College
(98782199)

Sunday May 4, 2003, 3:00 p.m.6:10 p.m.
Special Session on Numerical Methods, Calculations and Simulations in Knot Theory and Its Applications, IV
Room 327, Thornton Hall
Organizers:
Jorge Alberto Calvo, North Dakota State University jorge_calvo@ndsu.nodak.ed
Kenneth C. Millett, University of California Santa Barbara millett@math.ucsb.edu
Eric J. Rawdon, Duquesne University rawdon@mathcs.duq.edu

3:00 p.m.
Densely packed knots.
Rhonald Lua, University of Minnesota
Alexander Borovinskiy, UCSF
Alexander Grosberg*, University of Minnesota
(98760162)

3:30 p.m.
Computation of ideal shapes using a discretization by Biarcs.
Jana Smutny*, Swiss Federal Institute of Technology
(9876580)

4:00 p.m.
Tightening knots with {\em Ridgerunner}.
Jason H Cantarella*, University of Georgia
Eric Rawdon, Duquesne University
Michael Piatek, Duquesne University
(9875387)

4:30 p.m.
Simulations of Tight Links.
John M Sullivan*, Univ. of Ilinois, Urbana
(9875132)

5:00 p.m.
Power law for the ideal prime knots.
Piotr Pieranski*, Poznan University of Technology, Poznan, Poland
Sylwester Przybyl, Poznan University of Technology, Poznan, Poland
Justyna Marchwiak, Poznan University of Technology, Poznan, Poland
(98754154)

5:30 p.m.
The Effect of Flexibility on Minimum Ropelength Conformations.
Gregory Buck, Saint Anselm College
Michael Piatek, Duquesne University
Eric Rawdon*, Duquesne University
(98757185)
Inquiries: meet@ams.org