Transition matrix theory
Published: 2017
Publication Name: Transactions of the American Mathematical Society
Publication URL: https://doi.org/10.1090/tran/6915
Abstract:
In this article we present a unification of the theory of algebraic, singular, topological and directional transition matrices by introducing the (generalized) transition matrix which encompasses each of the previous four. Some transition matrix existence results are presented as well as verification that each of the previous transition matrices are cases of the (generalized) transition matrix. Furthermore we address how applications of the previous transition matrices to the Conley index theory carry over to the (generalized) transition matrix.
Franzosa, R., & Vieira, E. R. (2017). Transition matrix theory. Transactions of the American Mathematical Society, 369(11), 7737–7764. https://doi.org/10.1090/tran/6915