Writeups for Euler Circle Ergodic Theory, Winter 2019
Aditi Talai:
Spectral techniques
Alex Tholen:
Stone-Weierstrass theorem
Antarish Rautela:
Baire category theorem
Arjun Venkatraman:
Haar measure
Ethan Yang:
The weak* topology
Joshika Chakraverty:
Measure-theoretic view on probability
Joshua Zeitlin:
L
p
spaces: properties and applications
Karthik Balakrishnan:
Entropy
Krishna Dhulipala and Rushil Saha:
Applications of Fourier analysis in ergodic systems
Sarah Fujimori:
Fourier-analytic techniques
Shaunak Bhandarkar:
A journey through topological groups
Shilpa Kesavan:
Entropy of measure-preserving transformations
Siddharth Srinivasan:
Rational billiards
Sophia Wolczko and Lorenzo Wolczko:
Ergodic theory of non-integer bases
Tae Kyu Kim:
Mandelbrot set
Varun Srivastava:
The Mandelbrot set