Expectation integrals on fractal sets

Host Institution:

The University of Newcastle

Title of Seminar:

CARMA and SigmaOpt Seminar: Expectation integrals on fractal sets

Speaker's Name:

Laureate Prof. Jon Borwein & Mr Michael Rose

Speaker's Institution:

The University of Newcastle

Time and Date:

Monday 13th Aug 2012, 3:00 pm (AEST)

Seminar Abstract:

CARMA/SigmaOpt Seminar 
http://carma.newcastle.edu.au/events/

Using fractal self-similarity and functional-expectation relations, the classical theory of box integrals is extended to encompass a new class of fractal “string-generated Cantor sets” (SCSs) embedded in unit hypercubes of arbitrary dimension. Motivated by laboratory  studies on the distribution of brain synapses, these SCSs were designed for dimensional freedom - a suitable choice of generating string allows for fine-tuning the fractal dimension of the corresponding set. We also establish closed forms for certain statistical moments on SCSs and report various numerical results.

The associated paper is at http://www.carma.newcastle.edu.au/jon/papers.html#PAPERS

Seminar Convenor:

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