This seminar features expository talks on topics in analysis that reflect the participants' interests, but often don’t get into courses.

Poisson Summation II … (~22 mb): Joel Shapiro, May 15, 2020

The space of bounded deformations: Tom Wicks, May 8, 2020

The Poisson Summation Formula …(~21 mb): Joel Shapiro, May 1, 2020.

The Hausdorff metric and geodesics in the space of compact sets: Logan Fox: April 10, 2020.

Groups of operators and the Midpoint Rule: Jim Rulla, February 21 & 28, 2020.

How to interpolate linear operators: Joel Shapiro, February 7 & 14, 2020.

One-sided derivative of distance in Aleksandrov space: Logan Fox, January 24 & 31, 2020

Quantum Mechanics and Non-Commutative Functional Anaysis:

Edward G. Effros (UCLA), Friday, November 8, 2019.Conjugate Functions à la Riesz: Joel Shapiro, November 1, 2019

Sobolev’s Embeddings: Jim Rulla, October 4 & 11, 2019.

Szemerédi’s theorem via ergodic theory: Peter Oberly, May 17, 2019.

A survey of wandering domains in complex dynamics: Logan Fox, May 10, 2019.

Derivatives and their continuities?: Joel Shapiro, April 26, 2019.

Recurrence in dynamical systems and combinatorics: Peter Oberly, April 19, 2019.

Fixed points and Fatou components: Logan Fox, April 5, 2019.

Diffusion and consensus on weakly connected directed graphs: J. J. P. Veerman, February 22, 2019.

Solution by Radicals & the Discrete Fourier Transform: Jim Rulla, January 11 & 18, 2019

A.E. Convergence and Maximal Functions (you can’t have one without the other): Joel Shapiro, November 16, 2018.

The Pointwise Ergodic Theorem and its Applications: Peter Oberly, November 9, 2018.

An introduction to Hausdorff measure: Logan Fox, October 12 & 19, 2018.

Radon-Nikodym

made easy

: Joel Shapiro, May 11, 2018.Almost-everywhere convergence for Fourier series: Joel Shapiro, January 12 & 19, 2018.

Dirichlet Problem meets Maximal Function: Joel Shapiro, October 27, 2017.

Almost-Everywhere Convergence … Done Right: Joel Shapiro, October 13, 2017.

Radiography for optimists: Gary Sandine, June 2 & 9, 2017.

Whatever happened to l

^{p}for p<1?: Joel Shapiro, April 28, 2017.Kinetic energy as potential: Jim Rulla, October 21 & 28, 2016

From Newton’s Laws to Variational Calculus: Jim Rulla, May 20 & 27, 2016

The Titchmarsh Convolution Theorem: Joel Shapiro, April 1, 8 & 22, 2016.

The Crandall-Liggett Generation Theorem: Jim Rulla, October 23 & 30, 2015

Finding fixed points by

walking through rooms

: Joel Shapiro, April 17 & 24, 2015Levinson’s Algorithm and its engineering applications: Jim Rulla, April 3, 2015

Paradoxical Decompositions from Galileo to Banach-Tarski: Joel Shapiro, October 3, 10, 17; 2014.

The Invariant Subspace Problem: Joel Shapiro, March 14, April 4, April 11, 2014.

Burnside’s Theorem on matrix algebras: Joel Shapiro, May 9, 2014.

Characterizations of differentiability in R

^{n}: Blake Rector, February 14, 2014.Quantum Nash Equilibrium: Cody Fuller, January 17 & 24, 2014.

A formalism for quantum games and an application: Steve Bleiler, December 6, 2013.

An Easy Introduction to Quantum Mechanics; Local Realism, and God plays dice: Steve Silverman, November 15 & 22, 2013

Nash Equilibrium via convex analysis: Mau Nam Nguyen, Friday, November 8, 2013

Equilibrium in non-cooperative games: Joel Shapiro, October 18, 2013.

The Inverse Function Theorem: Jim Rulla, April 12 & May 3, 2013.http://web.pdx.edu/%7Emnn3/FT.pdf

The ubiquitous subgradient: Jim Rulla, March 1,8,15; 2013

The Fermat-Toricelli Problem in the light of convex analysis: Mau Nam Nguyen, February 1,8,15; 2013