Discrete gradient fields on infinite complexes
Rafael Ayala, José Antonio Vilches, Gregor Jerše, Neža Mramor Kosta · Discrete and Continuous Dynamical Systems · 2011
The aim of this work is to characterize the discrete gradientvector fields on infinite and locally finite simplicial complexes which are induced by a proper discreteMorse function. This characterization is essentially given by thenon-existence of closed trajectories and the absence of a certainkind of incidence between monotonous rays in the given field.