Fractal image

5th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals

June 11–15, 2014

Schedule of Courses

Course I: Analysis on P.C.F. Self-Similar Fractals

Robert Strichartz, Cornell University

Lecture 1: Energy on [0,1] and Sierpinski gasket
Lecture 2: Laplacian, normal derivatives, Gauss-Green formula
Lecture 3: Spectral decimation
Lecture 4: p.c.f. fractals
Lecture 5: Blowups, fractafolds and products

Textbook: Differential Equations on Fractals: a tutorial, Princeton University Press, 2006

Course II: Topics in Analysis and Probability on Fractals

Wednesday, June 11
Random walks on the Sierpinski gasket and related questions
Benjamin Steinhurst, McDaniel College

Thursday, June 12
Resistance estimates and Harnack inequalities on fractals
Daniel Kelleher, Purdue University

Friday, June 13
Resistance estimates and Harnack inequalities on fractals
Daniel Kelleher, Purdue University

Saturday, June 14
Elements of differential geometry on fractals
Luke Rogers, University of Connecticut

Sunday, June 15
Elements of differential geometry on fractals
Luke Rogers, University of Connecticut