Fractal Geometry, Analysis, and Applications • 2019 CMS Winter

Session	Fractal Geometry, Analysis, and Applications
Conference	2019 CMS Winter Meeting
Location	Chelsea Hotel, Toronto, Canada
Organization	Canadian Mathematical Society
Organizers	József Vass (CAIS, corresponding organizer) Herb Kunze (University of Guelph, co-organizer) Franklin Mendivil (Acadia University, co-organizer)
History	Chronicle of Meetings on Fractal Geometry, compiled by Benoit B. Mandelbrot (2007) Analysis, Geometry and Topology on Fractals, Wavelets and Self-Similar Tilings, 2013 CMS Summer Meeting Frames, Fractals, Tiling, and Wavelets, in Connection with the Fuglede's Conjecture, 2014 CMS Winter Meeting Fractal Geometry, Analysis, and Applications, 2016 CMS Winter Meeting

Sunday, December 8 (Mountbatten Salon B, 2nd Floor)
8:30	Herb Kunze, University of Guelph, Canada Solving Inverse Problems Using a Multiple Criteria Model with Collage Distance, Entropy, and Sparsity	[ abstract | video ]
9:00	Bertrand Duplantier, University of Paris-Saclay, France Integral Means Spectrum for Schramm-Loewner Evolution	[ abstract | video ]
9:30	Kevin Hare, University of Waterloo, Canada Entropy of Self-Similar Measures	[ abstract | slides | video ]
10:00	Michel L. Lapidus, University of California, Riverside, USA An Introduction to Complex Fractal Dimensions	[ abstract | slides | video ]
16:00	Jun Kigami, Kyoto University, Japan Ahlfors Regular Conformal Dimension of Metric Spaces and Parabolic Index of Infinite Graphs	[ abstract | slides | video ]
16:30	Bernat Espigulé, University of Barcelona, Spain Complex Trees: Structural Stability of Connected Self-Similar Sets	[ abstract | video ]
17:00	Farzaneh Nikbakhtsarvestani, University of Manitoba, Canada On the Existence of a Solution for a Multi-Singular Integro-Differential Equation with Integral Boundary Conditions	[ abstract | video ]
17:30	József Vass, CAIS, Canada The Inverse Problem of Fractal Potentials	[ abstract | slides | video ]

Talks (click ≡ for the list)

Fractal Geometry, Analysis, and Applications • 2016 CMS Winter

Session	Fractal Geometry, Analysis, and Applications
Conference	2016 CMS Winter Meeting
Location	Crowne Plaza Niagara Hotel, Niagara Falls, Canada
Organization	Canadian Mathematical Society
Organizers	József Vass (York University, corresponding organizer) Franklin Mendivil (Acadia University, co-organizer)
History	Chronicle of Meetings on Fractal Geometry, compiled by Benoit B. Mandelbrot (2007) Analysis, Geometry and Topology on Fractals, Wavelets and Self-Similar Tilings, 2013 CMS Summer Meeting Frames, Fractals, Tiling, and Wavelets, in Connection with the Fuglede's Conjecture, 2014 CMS Winter Meeting

Ignacio García • Kevin Hare • William C. Abram • Daniel Slonim • Boming Yu • Luke Rogers • József Vass • Herb Kunze • Trubee Davison • Franklin Mendivil • Balázs Bárány • Andrew Vince

Saturday, December 3 (Canadian Room A, Crowne Plaza, 5th Floor)
15:00	Kevin Hare, University of Waterloo, Canada Families of Self-Affine Maps	[ abstract | slides | video ]
15:30	Balázs Bárány, Budapest University of Technology and Economics, Hungary On the Hausdorff Dimension of Self-Affine Sets and Measures	[ abstract | slides | video ]
16:00	Luke Rogers, University of Connecticut, USA Spectral Properties of Pseudodifferential Operators on the Sierpinski Gasket	[ abstract | slides | video ]
16:30	Alden Walker, Center for Communications Research - La Jolla, USA Circle Actions on the Boundary of Schottky Space	[ abstract | slides | video ]
17:00	Ignacio García, University of Waterloo, Canada Assouad Dimensions of Complementary Sets	[ abstract | slides | video ]
17:30	Andrew Vince, University of Florida, Canada Fractal Transformations	[ abstract | slides | video ]
Sunday, December 4 (Canadian Room A, Crowne Plaza, 5th Floor)
8:30	Trubee Davison, USA A Positive Operator-Valued Measure Associated to an Iterated Function System	[ abstract | slides | video ]
9:00	William C. Abram, Hillsdale College, USA Intersections of Cantor Sets and Self-Similarity	[ abstract | slides | video ]
9:30	Ilia Binder, University of Toronto, Canada Multifractal Spectrum of SLE Boundary Collisions	[ abstract | slides | video ]
15:30	Boming Yu, Huazhong University of Science and Technology, China A Review on the Fractal Geometry Theory for Porous Media and its Applications	[ abstract | slides | video ]
16:00	Daniel Slonim, Purdue University, USA Path Sets and Interleaving	[ abstract | slides | video ]
16:30	Herb Kunze, University of Guelph, Canada Star-Shaped Set Inversion Map Fractals	[ abstract | video ]
17:00	József Vass, York University, Canada Fractal Potentials of the Laplace and Wave Equations	[ abstract | slides | video ]

Talks (click ≡ for the list)

Mandelbrot's Life & Career

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Nikola Tesla

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The radio finally attributed correctly to Tesla (not Marconi). Thank you Mr. Tempest and TED for finally setting the record straight.

Real Analysis: Lectures by Prof. Francis Su

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Recommended book: W. Rudin, "Principles of Mathematical Analysis".

Az Ulam-féle Spirál

Dr. Péntek Kálmán (NYME) • Link a videóhoz »

Advice on Writing Research Papers and Theses

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Math is Incredible

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Math is about Creativity

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"Dance" was never meant to be a repetitive act of the same moves over & over. Wasn't the person who originally invented a move improvising, after all? Same goes for music, math, or any subject really. The main issue I think with the education system around the world, is in fact that it doesn't let kids shine and thereby strengthen their inherent creativity, but rather it is founded on the false premise of rote repetition. Math has been about exploration and creativity from the start.

There is one particular teaching method, called the Moore method, which encourages just that. How would you like to sit in a college class, where you get to discover & invent the subject together with your fellow classmates? The future of education is not online, it's inside of us, our very own inner light.

I began doing research in like the second month of college, which eventually became my masters thesis. That's in no way special. You too can pull such a move, if you lose your pride, and approach mathematics with stupefying egoless humility, where you can stumble, fall, get up, and grow.

Arthur C. Clarke: Fractals - The Colors Of Infinity

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The Logarithmic Spiral

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I was obsessed in kindergarten with trying to draw a perfect circle freehand. Then one day I found a snail cemetery behind our old thatched house in the village I grew up in. Who knows how all those shells got there. Some shells were broken, and showed their fascinating structure spiraling inward. I had a feeling, that these spirals were circles too, but with a constantly changing curvature. Spirals became my newfound love that day, and I had an epiphany that they will mean even more to me one day.

Every first-grader should be shown this video, and they would love math from that day on. This is how childishly and purely we mathematicians feel about math. One becomes a mathematician when this same feeling springs from one's imagination instead of pictures.

Morphing 3D IFS Fractals

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Why do Science?

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African Fractal Geometry

 
Link to video on TED Talks »

 

"I am a mathematician, and I would like to stand on your roof." That is how Ron Eglash greeted many African families he met while researching the fractal patterns he’d noticed in villages across the continent.

Möbius Transformations

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