156 citations · 202 across the 9 of their papers we have counts for
8 papers · 1 filter
The Mathematics of Evolution: The Price Equation, Natural Selection, and Environmental Change
Tom LaGatta
George Price introduced his famous equation to study selective and environmental effects in discrete populations. We extend Price's framework to the measurable and quantum cases, d…
A Structural Approach to Coordinate-Free Statistics
Tom LaGatta, P. Richard Hahn
We consider the question of learning in general topological vector spaces. By exploiting known (or parametrized) covariance structures, our Main Theorem demonstrates that any conti…
Geodesics of Random Riemannian Metrics: Supplementary Material
Tom LaGatta, Jan Wehr
This is supplementary material for the main Geodesics article by the authors. In Appendix A, we present some general results on the construction of Gaussian random fields. In Appen…
Geodesics of Random Riemannian Metrics
Tom LaGatta, Jan Wehr
We analyze the disordered Riemannian geometry resulting from random perturbations of the Euclidean metric. We focus on geodesics, the paths traced out by a particle traveling in th…
Dissertation: Geodesics of Random Riemannian Metrics
Tom LaGatta
We introduce Riemannian First-Passage Percolation (Riemannian FPP) as a new model of random differential geometry, by considering a random, smooth Riemannian metric on $\mathbb R^d…
Group Incentives and Rational Voting
Alastair Smith, Bruce Bueno de Mesquita, Tom LaGatta
Our model describes competition between groups driven by the choices of self-interested voters within groups. Within a Poisson voting environment, parties observe aggregate support…
Continuous Disintegrations of Gaussian Processes
Tom LaGatta
The goal of this paper is to understand the conditional law of a stochastic process once it has been observed over an interval. To make this precise, we introduce the notion of a c…
A Shape Theorem for Riemannian First-Passage Percolation
Tom LaGatta, Jan Wehr
Riemannian first-passage percolation (FPP) is a continuum model, with a distance function arising from a random Riemannian metric in . Our main result is a shape theorem for…