Walking on Real Numbers

A Multiple Media Mathematics Project

Presentations


Summary of Presentations Presentation Preview

Moments and Densities of Short Random Walks

Jon Borwein et al.

(November 2014)


Presentation on short walks in many dimensions, made at the "New Directions in Fractal Geometry" workshop.

Image of original publication

Caminando guiado por π (Spanish)

Francisco J. Aragón Artacho

(April 2013)


A video of this presentation is also available.

Image of original publication

A Talk for Pi Day in the USA and Canada

Jonathan M. Borwein

(March 2013)


A talk given by Jonathan Borwein discussing the historical and cultural impact of Pi for Pi Day (March 14).


Image of Normal Numbers

Seeing Things by Walking on Real Numbers

Jonathan M. Borwein

(January 2013)


An in-depth presentation of real numbers and number walks given by Jonathan Borwein in January 2013.

We also have a smaller PDF version of this presentation.

Image of Normal Numbers

Walking on Real Numbers

David H. Bailey

(December 2012)


A presentation by David Bailey on the properties of real numbers.

Image of Normal Numbers

The Sound of Pi

Jon Drummond

(October 2012)


A performance event inspired by the rich intersections between mathematics, music and sound, the melodic fugal number games of Bach, Froberger and Frescobaldi, the crystalline serial structures of Webern, spectral transformations of acoustic cello and Jon Borwein’s and Francisco Javier Aragón Artacho’s 100 billion step walk through the digits of π.

PDF Flyer of the event
Pictures and Videos of the event
The Sounds of Pi: 1 2 3

No preview available

Walking on Real Numbers

Francisco J. Aragón Artacho

(October 2012)


A presentation by Francisco J. Aragón Artacho on the research of real numbers.

No preview available

Normality and nonnormality of mathematical constants

David H. Bailey

(August 2012)


A presentation by David Bailey on normal and non-normal numbers.

No preview available

Expectations on Fractal Sets

Jonathan M. Borwein

(July 2012)


A presentation by Jonathan Borwein on fractal sets.

In his own words: "Using fractal self-similarity and functional-expectation relations, the classical theory of box integrals - being expectations on unit hypercubes - 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, develop a precision algorithm for high embedding dimensions, and report various numerical results. The underlying numerical quadrature issues are in themselves quite challenging."

No preview available

Measures, Walks and Integrals

Jonathan M. Borwein

(March 2012)


A presentation by Jonathan Borwein on hybrid computation.

No preview available