AMS Sectional Meeting Program by Special Session
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1998 Spring Southeastern Sectional Meeting
Louisville, KY, March 2021, 1998
Meeting #931
Associate secretaries:
Robert J Daverman, AMS
daverman@math.utk.edu
Special Session on Fractal Geometry and Related Topics

Friday March 20, 1998, 8:00 a.m.10:50 a.m.
Special Session on Fractal Geometry and Related Topics, I
Room 160, Burhans Hall
Organizers:
KaSing Lau, University of Pittsburgh lauks+@pitt.edu
Weibin Zeng, University of Louisville wbzeng01@ulkyvx.louisville.edu

8:00 a.m.
Genralized SelfSimilar Functions.
Carlos A Cabrelli, University of Buenos Aires
Falsetti C Marcela, Univ. de Gral. Sarmiento
Ursula M Molter*, University of Buenos Aires
(93126158)

8:30 a.m.
Cantor sets of bounded rates.
Carlos Cabrelli*, University of Buenos Aires
Kathryn E Hare, University of Waterloo
Ursula M Molter, University of Buenos Aires
(93128157)

9:00 a.m.
Secondorder selfsimilar identities.
SzeMan Ngai*, Cornell University
(93128131)

9:30 a.m.
The Multifractal Structure of Convolution of Cantor Measures.
TianYau Hu, Univ. of Wisconsin, Green Bay, WI 54311
KaSing Lau*, Univ. of Pittburgh, Pittsburgh, Pa 15260/ The Chinese University of Hong Kong, H.K.
(93128177)

10:00 a.m.
Exact Hausdorff dimensions of overlapping selfsimilar sets.
Yang Wang*, Georgia Institute of Technology
Robert Strichartz, Cornell University
(93142209)

10:30 a.m.
Orthonormal Bases of Exponentials for the nCube.
Jeffrey C Lagarias*, AT&T Labs, Florham Park NJ
James A Reeds, AT&T Labs, Florham Park, NJ
Yang Wang, Georgia Institute of Technology, Atlanta, GA
(93146220)

Friday March 20, 1998, 2:45 p.m.6:35 p.m.
Special Session on Fractal Geometry and Related Topics, II
Room 160, Burhans Hall
Organizers:
KaSing Lau, University of Pittsburgh lauks+@pitt.edu
Weibin Zeng, University of Louisville wbzeng01@ulkyvx.louisville.edu

2:45 p.m.
Let's do analysis on fractals!
Robert S Strichartz*, Cornell University
(93135266)

3:15 p.m.
Dense analytic subspaces in fractal $L^{2}$spaces.
Palle E.T. Jorgensen*, University of Iowa
(9314206)

3:45 p.m.
Harmonic Analysis of Fractal Measures.
Steen Pedersen*, Wright State University
(93142232)

4:15 p.m.
heat kernel estimates for Laplacians on p. c. f. selfsimilar sets.
Jun Kigami*, Kyoto University
(93160181)

4:45 p.m.
Complex Dimensions of Fractals.
Michel L. Lapidus*, University of CaliforniaRiverside
(93128281)

5:15 p.m.
Fourier asymptotic of statistically selfsimilar measures.
Christian E. Bluhm*, Cornell University
(93128153)

5:45 p.m.
Spectral Analysis on Infinite Sierpinski Gaskets.
Alexander Teplyaev*, Cornell University
(93135287)

6:15 p.m.
Sierpi\'{n}ski gasket as a Martin boundary.
Manfred Denker, University of G\"ottingen
Hiroshi Sato*, Kyushu University
(93160103)

Saturday March 21, 1998, 8:00 a.m.10:50 a.m.
Special Session on Fractal Geometry and Related Topics, III
Room 160, Burhans Hall
Organizers:
KaSing Lau, University of Pittsburgh lauks+@pitt.edu
Weibin Zeng, University of Louisville wbzeng01@ulkyvx.louisville.edu

8:00 a.m.
Dynamical systems on tiling spaces and selfsimilar processes with zer o entropy.
Teturo Kamae*, Osaka City University
(93160231)

8:30 a.m.
A practical algorithm for computing the Hausdorff dimension of boundaries of selfsimilar tiles in $R^d$.
James E. Keesling*, University of Florida
Andrew Vince, University of Florida
Paul F. Duvall, Jr., University of North Carolina at Greensboro
(93128242)

9:00 a.m.
Multifractal Formalism for Sofic Measures and Dimension Spectra of SelfAffine Sets.
Satoshi Takahashi*, Department of Mathematics, Osaka University
(93128255)

9:30 a.m.
Extension of Hawkes' Theorem on the Hausdorff dimension of a GaltonWatson tree.
Steven P. Lalley*, University of Chicago
(93160275)

10:00 a.m.
On the Disintegration with Respect to Dimension of Measures generated by Exchangeable Cascades.
Stanley C Williams*, Utah State University
(93160310)

10:30 a.m.
Multifractal Processes and Long Range Dependence.
Rudolf H Riedi*, Rice University
(93128283)

Saturday March 21, 1998, 2:45 p.m.5:35 p.m.
Special Session on Fractal Geometry and Related Topics, IV
Room 160, Burhans Hall
Organizers:
KaSing Lau, University of Pittsburgh lauks+@pitt.edu
Weibin Zeng, University of Louisville wbzeng01@ulkyvx.louisville.edu

2:45 p.m.
On packing measure and packing dimension.
Gerald A Edgar*, The Ohio State University
(9312820)

3:15 p.m.
Koebe Type Distortion Theorem for Nonconformal Semigroups .
Yunping Jiang*, Queens College of CUNY
(93132212)

3:45 p.m.
Parabolic iterated function systems.
R. Daniel Mauldin*, University of North Texas
Mariusz Urbanski, University of North Texas
(93158144)

4:15 p.m.
Dimensions and measures for a curvilinear Sierpinski gasket or Apollonian Packings.
Mariusz Urbanski*, University of North Texas
Daniel Mauldin, University of North Texas
(93128156)

4:45 p.m.
Invariant measures on Julia sets via iterated function systems.
Russell K. Jackson, Brown Ubiversity
Karl E. Petersen*, University of North Carolina
(9313097)

5:15 p.m.
Approximation of invariant measures for iterated function systems.
Anders Oberg*, Umeå University and Uppsala University
(93128233)
Inquiries: meet@ams.org