Gregory F. Lawler
= Gregory F. Lawler
{c}
<Gregory F. Lawler> studies <random walks>, <Brownian motion> and <Schramm–Loewner evolution>, with connections to <statistical physics> and <complex analysis>. His University of Chicago research profile emphasizes paths such as <loop-erased random walks> and their relation to <uniform spanning trees>.https://mathematics.uchicago.edu/people/profile/gregory-f-lawler/[Institutional research description]{ref}
Lawler and <Wendelin Werner> developed the <Brownian loop soup>, using a conformally invariant measure on planar Brownian loops to build a <Poisson point process> of loops.<The Brownian loop soup by Gregory F. Lawler and Wendelin Werner>[Introduction and section 4]{ref} His <Notes on the Bessel Process by Gregory F. Lawler> provide another route from paths to geometry: a <Bessel process> describes radial diffusion, with its dimension parameter controlling whether the origin is reached. The boundary behavior matters when extending the process beyond its first zero.<Notes on the Bessel Process by Gregory F. Lawler>[Sections 2–3, definition and boundary behavior]{ref}
\Image[https://www.math.uchicago.edu/~lawler/image1small.jpg]
{title=Gregory F. Lawler}
{description=Portrait linked from the author's University of Chicago homepage.}
{source=https://www.math.uchicago.edu/~lawler/}
{width=220}