AMS Student Chapter Seminar: Difference between revisions
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Title: A cute useless theorem about random Fourier Series | Title: A cute useless theorem about random Fourier Series | ||
Abstract: Consider a Fourier series with random, symmetric, independent coefficients. With what probability is this the Fourier series of a continuous function? An <math>L^{p}</math> function? A surprising yet beautiful result is the Billard theorem, which says such a series results almost surely from an <math>L^{\infty}</math> function if and only if it results almost surely from a continuous function. Within the context of this theorem, we will discuss why the only independent symmetric, random variables which matter essentially coin flips (Bernoulli trials), and if time permits, I will explain why this theorem is useless. | Abstract: Consider a Fourier series with random, symmetric, independent coefficients. With what probability is this the Fourier series of a continuous function? An <math>L^{p}</math> function? A surprising yet beautiful result is the Billard theorem, which says such a series results almost surely from an <math>L^{\infty}</math> function if and only if it results almost surely from a continuous function. Within the context of this theorem, we will discuss why the only independent symmetric, random variables which matter are essentially coin flips (Bernoulli trials), and if time permits, I will explain why this theorem is useless. | ||
=== February 20, Geoff Bentsen === | === February 20, Geoff Bentsen === | ||
Revision as of 01:29, 13 February 2019
The AMS Student Chapter Seminar is an informal, graduate student-run seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.
- When: Wednesdays, 3:20 PM – 3:50 PM
- Where: Van Vleck, 9th floor lounge (unless otherwise announced)
- Organizers: Michel Alexis, David Wagner, Patrick Nicodemus, Son Tu
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.
The schedule of talks from past semesters can be found here.
Spring 2019
February 6, Xiao Shen (in VV B139)
Title: Limit Shape in last passage percolation
Abstract: Imagine the following situation, attached to each point on the integer lattice Z^2 there is an arbitrary amount of donuts. Fix x and y in Z^2, if you get to eat all the donuts along an up-right path between these two points, what would be the maximum amount of donuts you can get? This model is often called last passage percolation, and I will discuss a classical result about its scaling limit: what happens if we zoom out and let the distance between x and y tend to infinity.
February 13, Michel Alexis (in VV B139)
Title: A cute useless theorem about random Fourier Series
Abstract: Consider a Fourier series with random, symmetric, independent coefficients. With what probability is this the Fourier series of a continuous function? An [math]\displaystyle{ L^{p} }[/math] function? A surprising yet beautiful result is the Billard theorem, which says such a series results almost surely from an [math]\displaystyle{ L^{\infty} }[/math] function if and only if it results almost surely from a continuous function. Within the context of this theorem, we will discuss why the only independent symmetric, random variables which matter are essentially coin flips (Bernoulli trials), and if time permits, I will explain why this theorem is useless.
February 20, Geoff Bentsen
Title: TBD
Abstract: TBD
February 27, TBD
Title: TBD
Abstract: TBD
March 6, Working Group to establish an Association of Mathematics Graduate Students
Title: Math and Government
Abstract: TBD
March 13, TBD
Title: TBD
Abstract: TBD
March 26 (Prospective Student Visit Day), Multiple Speakers
Eva Elduque
Title: TBD
Abstract: TBD
Rajula Srivastava
Title: TBD
Abstract: TBD
Soumya Sankar
Title: TBD
Abstract: TBD
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April 3, TBD
Title: TBD
Abstract: TBD
April 10, TBD
Title: TBD
Abstract: TBD
April 17, Hyun-Jong
Title: TBD
Abstract: TBD
April 24, TBD
Title: TBD
Abstract: TBD