AMS Meeting Program by Special Session
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1997 Joint Mathematics Meetings
San Diego, CA, January 811, 1997
Meeting #918
Associate secretaries:
Lesley M Sibner, AMS lsibner@duke.poly.edu
Donovan H Van Osdol, MAA dv@christa.unh.edu
AMS Special Session on Analysis, Diffusions and PDEs on Fractals

Friday January 10, 1997, 3:45 p.m.6:05 p.m.
AMS Special Session on Analysis, Diffusions and PDEs on Fractals, I
Organizers:
Jun Kigami, Kyoto University, Kyoto, Japan kigami@math.h.kyotou.ac.jp
Michel L. Lapidus, University of California, Riverside lapidus@math.ucr.edu

3:45 p.m.
The Hausdorff and packing dimension of sets of continued fractions.
Dan Mauldin*, Univ. of North Texas
(91828322)

4:15 p.m.
Harmonic analysis of fractal measures
Palle E.T. Jorgensen*, The University of Iowa
Steen Pedersen, Wright State University
(91842228)

4:45 p.m.
Multifractal Formalism for Sofic Measures and its Application to SelfAffine Sets
Satoshi Takahashi*, Osaka University
(91828530)

5:15 p.m.
Iteration Function Systems With Overlaps
KaSing Lau*, The Chinese University of Hong Kong
SzeMan Ngai, The Chinese University of Hong Kong
(91828644)

5:45 p.m.
Fractal measures and statistical sampling
John A. Holbrook*, University of Guelph
(9186254)

Saturday January 11, 1997, 8:00 a.m.10:50 a.m.
AMS Special Session on Analysis, Diffusions and PDEs on Fractals, II
Organizers:
Jun Kigami, Kyoto University, Kyoto, Japan kigami@math.h.kyotou.ac.jp
Michel L. Lapidus, University of California, Riverside lapidus@math.ucr.edu

8:00 a.m.
Heat kernel estimates for diffusion processes on finitely ramified fractals
Takashi Kumagai*, Nagaya University
(91860292)

8:30 a.m.
Spectrum of the Laplacian on symmetric fractals.
Leonid Malozemov,
Alexander Teplyaev*,
(918471230)

9:00 a.m.
Hitting distributions for Brownian motion on the Sierpinski carpet
Richard F Bass*, University of Washington
Martin T Barlow, University of British Columbia
(91860274)

9:30 a.m.
Distributions of Localized Eigenvalues for Laplacians on p.c.f. selfsimilar sets
Jun Kigami*,
(91831531)

10:00 a.m.
Fractal differential equations on the Sierpinski Gasket
Kyallee Dalrymple, University of Colorado, Boulder
Robert S. Strichartz*, Cornell University
Jade Vinson, Washington University
(918351170)

10:30 a.m.
Existence and uniqueness of diffusions on fractals.
Christophe Sabot*, CNRS
(91860533)

Saturday January 11, 1997, 1:00 p.m.5:50 p.m.
AMS Special Session on Analysis, Diffusions and PDEs on Fractals, III
Organizers:
Jun Kigami, Kyoto University, Kyoto, Japan kigami@math.h.kyotou.ac.jp
Michel L. Lapidus, University of California, Riverside lapidus@math.ucr.edu

1:00 p.m.
On an Eigenvalue Problem for $\frac {d^2}{dx^2}$ on $[0,1]$from a Fractal Point of View
Tadashi Shima*, Faculty of Integrated Arts and Sciences, Hiroshima University
(91834527)

1:30 p.m.
The LaPlace Equation and Diffusion Limited Aggregation
Benoit B. Mandelbrot*, Yale University
(918601493)

2:00 p.m.
Generalized Minkowski content, spectrum of fractal drums, fractal strings and the Riemann Zetafunction
Christina Q. He*, University of California, Riverside
Michel Lapidus, University of California, Riverside
(918351211)

2:30 p.m.
Complex dimensions of fractal strings and oscillatory phenomena
Michel L. Lapidus*, University of California, Riverside
Machiel van Frankenhuysen, IHES, France
(91835537)

3:00 p.m.
Zetafunctions and explicit formulas for the geometry and the spectrum of fractal strings
Michel L. Lapidus, University of California, Riverside
Machiel van Frankenhuysen*, IHES, France
(91835539)

3:30 p.m.
Sharp Estimates for Dirichlet Eigenfunctions in Nonsmooth Domains
Rodrigo Ba\~nuelos*, Purdue University
(918351208)

4:00 p.m.
Snowflake Harmonics and Computer Graphics: Numerical computation of spectra on fractal drums
Michel L Lapidus,
John W Neuberger,
Robert J Renka,
Cheryl A Griffith*,
(918351133)

4:30 p.m.
Limit Sets of Hyperbolic Branching Brownian Motion
Steven P Lalley*, Purdue University
Thomas Sellke,
(918601247)

5:00 p.m.
Sharp bounds for ground state eigenfunctions on domains with horns and cusps
Arthur J. Lindeman, II, Purdue University
Michael M.H. Pang*, University of Missouri
Zhongxin Zhao, University of Missouri
(91847258)

5:30 p.m.
Quantum Fractals in Boxes
Michael V. Berry*, University of Bristol, United Kingdom
(918811587)
Inquiries: meet@ams.org