63 citations · 138 across the 14 of their papers we have counts for
4 papers · 1 filter
A probabilistic look at the infinite hat-guessing game
Nathaniel Eldredge
In this article, we look at a hat-guessing game, in which each player must guess the color of their own hat while only seeing the hats of the other players. We focus on the case of…
Analysis and Probability on Infinite-Dimensional Spaces
Nathaniel Eldredge
These lecture notes contain an introduction to some of the fundamental ideas and results in analysis and probability on infinite-dimensional spaces, mainly Gaussian measures on Ban…
Hypoelliptic heat kernels on infinite-dimensional Heisenberg groups
Bruce K. Driver, Nathaniel Eldredge, Tai Melcher
We study the law of a hypoelliptic Brownian motion on an infinite-dimensional Heisenberg group based on an abstract Wiener space. We show that the endpoint distribution, which can…
Widder's representation theorem for symmetric local Dirichlet spaces
Nathaniel Eldredge, Laurent Saloff-Coste
In classical PDE theory, Widder's theorem gives a representation for nonnegative solutions of the heat equation on . We show that an analogous theorem holds for local…