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SumTopo 2001, Sixteenth Summer Conference on Topology and its Applications
July 18-21, 2001
City College of CUNY
New York, NY, USA

Organizers
Ralph Kopperman (City College, CUNY), Susan Andima (CW Post College, LIU), Gerald Itzkowitz (Queens College, CUNY), Prabudh Misra (College of Staten Island, CUNY), Shelly Rothman (CW Post College, LIU), Aaron Todd (Baruch College, CUNY)

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Piecewise Linear Approximations of Cantor Sets with Nonlinear Self-Similarities
by
Thea Pignataro
CCNY

We find limiting expressions for the Hausdorff dimension of nonlinearly self-similar Cantor sets. The results are applied to the limit sets of a family of discrete subgroups, of the fractional linear transformations of the hyperbolic plane, known as Hecke groups. Relations to shift dynamics, continued fraction transformations and spectral theory will be described.

Date received: July 10, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cahy-12.