Summary: 



GENERIC ROBUSTNESS OF SPECTRAL

DECOMPOSITIONS



FL'AVIO ABDENUR



Abstract. We prove that given a compact n-dimensional boundaryless
manifold M, n 2, there exists a residual subset R of Diff1(M) such that
if f 2 R admits a spectral decomposition (i.e., (f) admits a partition
into a finite number of transitive compact sets), then this spectral de-
composition is robust in a generic sense (tame behavior). This implies a
C1-generic trichotomy that generalizes some aspects of a two-dimensional

Source: Abdenur, Flavio - Departamento de Matemática, Pontifícia Universidade Católica do Rio Grande do Sul

Collections: Mathematics