[Binghamton Geometry Topology Seminar] SPECIAL DATE AND TIME: Tomorrow, November 26, 1:15, Casey Donoven

sapir at math.binghamton.edu sapir at math.binghamton.edu
Mon Nov 25 13:15:11 EST 2019


A quick update on the title and abstract for tomorrow's talk (1:15pm in
100E):

Speaker: Casey Donoven (Binghamton University)

Title: Counting Boxes: A Friendly Introduction to Fractal Dimension

Abstract: The box-counting dimension of a set is calculated by covering a
set with 'boxes' and seeing how fast the number of boxes grows in
proportion to decreasing the size of the box. For manifolds in Euclidean
space, such as curves, surfaces, etc., the box-counting dimension agrees
with the topological dimension. My work explores the box-counting
dimension (and Hausdorff dimension) in Cantor space, the boundary of an
infinite tree. Specifically, I will answer the following question: Given
sets E and F in Cantor space and a random isometry f, what is the
dimension of the intersection of E and f(F)?

> This week, we're meeting tomorrow, November 26 at 1:15 in
> 100E, as our seminar is joint with combinatorics. There will be no seminar
> on Thursday (not surprisingly!).
>
> Speaker: Casey Donoven (Binghamton University)
> Title: Box-Counting Dimension of Fractal Subsets of Boundaries of Trees
> Abstract will be available here:
> http://seminars.math.binghamton.edu/ComboSem/abstract.201911don.html
>



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