Math 581A - Classical & Multilinear Harmonic Analysis (Fall 2024)

Schedule

Note: The schedule is subject to change. Check back for changes and updates

TOPICS BY LECTURE

Wed, Sep 24: Itereated Function Systems (Notes)
Fri, Sep 27: Symbolic Space and Minkowski dimension (Notes)
Mon, Sep 29: Hausdorff Dimension, Frostman's Lemma and Mass Distribution Principle (Notes)
Wed, Oct 1: Applications of Riesz Energies (Notes)
Fri, Oct 3: Packing Dimension (Notes)
Mon, Oct 6: Hausdorff and Packing Dimension of Fractal Sets (Notes)
Wed, Oct 8: Separation Properties and the Open Set Condition (Notes)
Friday, Oct 10: The Conditions of Bandt and Graf (Notes)
Mon, Oct 13: Band-Graf-Schief Theorem (Notes)
Wed, Oct 15: The Equivalence of the Bandt Graf Conditions (Notes)
Fri, Oct 17: Positive Lebesgue measure Fractals with Empty Interior (Notes)
Mon, Oct 20: Fractals with Overlaps, Hochman's Theorem (Notes)
Wed, Oct 22: Local Dimension (Notes)
Fri, Oct 24: Local Dimension, Entropy, and Ergodicity (Notes)
Mon, Oct 27: Exact Dimensionality of Self-Similar Measures (Notes)
Wed, Oct 29: Proof of the Theorem of Feng and Hu (Notes)