46 citations · 131 across the 20 of their papers we have counts for
23 papers
Matrix Random Walks and the Lima Bean Law
Bruce K. Driver, Brian C. Hall, Ching Wei Ho +4
A matrix random walk is a stochastic process of the form where are independent ``step'' matrices in . With the right en…
A combinatorial approach to geometric rough paths and their controlled paths
Thomas Cass, Bruce K. Driver, Christian Litterer +1
We develop the structure theory for transformations of weakly geometric rough paths of bounded -variation and their controlled paths. Our approach differs from existing appr…
The Brown measure of the free multiplicative Brownian motion
Bruce K. Driver, Brian C. Hall, Todd Kemp
The free multiplicative Brownian motion is the large- limit of the Brownian motion on in the sense of -distributions. The natural can…
Global Existence of Geometric Rough Flows
Bruce K. Driver
In this paper we consider rough differential equations on a smooth manifold The main result of this paper gives sufficient conditions on the driving vector-fiel…
On truncated logarithms of flows on a Riemannian manifold
Bruce K. Driver
This paper gives quantitative global estimates between a time dependent flow on a Riemannian manifold and the flow of a vector field constructed by truncating th…
A Functional Integral Approaches to the Makeenko-Migdal Equations
Bruce K. Driver
Makeenko and Migdal (1979) gave heuristic identities involving the expectation of the product of two Wilson loop functionals associated to splitting a single loop at a self-interse…