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

Volterra Variations Joel Shapiro, February 17, 2023

Finding a needle in a very large haystack Gary Sandine, May 27, 2022

Surfaces in \(R^3\) Robert Lyons, April 22, 29, May 6, 2022

How to prove an a.e. convergence theorem Joel Shapiro, April 15, 2022

Birkhoff’s Ergodic Theorem J. J. P. Veerman, April 8, 2022

Weak Convergence in Banach Spaces: Joel Shapiro, March 4, 2022

The Krein-Milman Theorem for Conical Bicombings: Logan Fox, Feb 4, 2022

Introduction to the Cauchy-Riemann Operator: Joel Shapiro Feb 19 & April 23, 2021

The embedding theorems of Rådström and Hörmander: Logan Fox, October 9, 2020.

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