Events by date

Wednesday, October 7, 2015

Wednesday, October 7, 2015 — 2:30 PM EDT

Kevin Matthews, Department of Pure Mathematics, University of Waterloo

"Local Dimensions of Measures of Finite Type"

This talk will examine the multifractal analysis of a particular class of equicontractive self-similar measures. We will begin by reviewing known results in the area. Our focus will be on the set of attainable local dimensions of these measures and a systematic way of computing them. Several examples will be discussed.   MC 5403
Wednesday, October 7, 2015 — 3:30 PM EDT

Mohammad Mahmoud, Pure Mathematics, University of Waterloo

"Algorithmic Randomness: Introduction to Kolmogorov Complexity"

After we have established the machine existence (Kraft-Chaitin Theorem), this time we are going to give the proofs for the following "desirable" facts about $K$ which we stated before: (a) Incompressible (in the sense of $K$) strings have only short runs of zeros (i.e. blocks only consisting of zeros), and (b) Zeros and ones occur balancedly.   MC 5403
Wednesday, October 7, 2015 — 3:30 PM EDT

Raymond Cheng, Department of Pure Mathematics, University of Waterloo

"Hodge Decomposition and Kahler Manifolds"

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