Wednesday January 31, 2018 4:00 PM Math Tower 5127
 Jack Burkart, Stony Brook University
Intro to Brownian MotionAfter a quick introduction, we'll define and discuss what we need to know about Gaussian random variables. From there, we will define what Brownian motion is, and give a construction of Brownian motion on an interval.

Wednesday February 07, 2018 4:00 PM Math Tower 5127
 Jack Burkart, Stony Brook University
Construction of Brownian MotionWe will start by addressing some of the questions asked in the last talk. After that and a quick review, we will construct Brownian motion on an interval.

Wednesday February 14, 2018 4:00 PM Math Tower 5127
 Matthew Dannenberg, Stony Brook University
Basic Properties of Brownian MotionWe discuss the basic properties of Brownian motion, including scaling and inversion relationships, Holder continuity, and nowhere differentiability.

Wednesday February 21, 2018 4:00 PM Math Tower 5127
 Ben Sokolowsky, Stony Brook University
Reflection and Conformal InvarianceWe will discuss stopping times and the strong Markov property of Brownian motion, proving a reflection principle along the way. Time permitting we will also discuss the conformal invariance of Brownian motion.

Wednesday February 28, 2018 4:00 PM Math Tower 5127
 Silvia Ghinassi, Stony Brook University
Dimension Results for Brownian MotionTBA

