51 citations · 57 across the 28 of their papers we have counts for
4 papers · 2 filters
Causal Holography of Traversing Flows
Gabriel Katz
We study smooth {\sf traversing} vector fields on compact manifolds with boundary. A traversing admits a Lyapunov function such that . We s…
The Stratified Spaces of Real Polynomials & Trajectory Spaces of Traversing Flows
Gabriel Katz
This paper is the third in a series that researches the Morse Theory, gradient flows, concavity and complexity on smooth compact manifolds with boundary. Employing the local analyt…
Traversally Generic & Versal Vector Flows: Semi-Algebraic Models of Tangency to the Boundary
Gabriel Katz
Let be a compact smooth manifold with boundary. In this article, we study the spaces and of so called boundary generic and trav…
Stratified convexity & concavity of gradient flows on manifolds with boundary
Gabriel Katz
As has been observed by Morse \cite{Mo}, any generic vector field on a compact smooth manifold with boundary gives rise to a stratification of the boundary $\d X$ by compac…