2 papers
math.CA2015
Controlled Rough Paths on Manifolds I
Bruce K. Driver, Jeremy S. Semko
In this paper, we build the foundation for a theory of controlled rough paths on manifolds. A number of natural candidates for the definition of manifold valued controlled rough pa…
math.OC2013
Free Semidefinite Representation of Matrix Power Functions
J. William Helton, Jiawang Nie, Jeremy S. Semko
Consider the matrix power function X^p defined over the cone of positive definite matrices S^{n}_{++}. It is known that X^p is convex over S^{n}_{++} if p is in [-1,0] or [1,2] and…