2 papers
math.DS2021
Continuation Sheaves in Dynamics: Sheaf Cohomology and Bifurcation
K. Dowling, W. D. Kalies, R. C. A. M. Vandervorst
Continuation of algebraic structures in families of dynamical systems is described using category theory, sheaves, and lattice algebras. Well-known concepts in dynamics, such as at…
math.PR2019
Homotopy Types of Random Cubical Complexes
Kenneth Dowling, Erik Lundberg
We study the topology of a random cubical complex associated to Bernoulli site percolation on a cubical grid. We begin by establishing a limit law for homotopy types. More precisel…