PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Sergei Tabachnikov.

Title:The Dimensions of Individual Points in Euclidean Space
Seminar:Department of Mathematics Colloquium
Speaker:Jack Lutz, Iowa State Universty
Abstract:
The (constructive Hausdorff) dimension of a point x in Euclidean space is the algorithmic information density of x. Roughly speaking, this is the least real number dim(x) such that r*dim(x) bits suffice to specify x on a general-purpose computer with arbitrarily high precisions 2^-r. This talk will survey the development of this notion, its geometric meaning, and its role in the analysis of several classes of fractals. The results surveyed are the work of many investigators.

Room Reservation Information

Room Number:MB114
Date:02 / 17 / 2011
Time:04:00pm - 05:00pm