The space of all p-th roots of a nilpotent complex matrix is path-connected
Sign Up to like & getrecommendations! Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.02.028
Abstract: Let p be a positive integer and A be a nilpotent complex matrix. We prove that the set of all p-th roots of A is path-connected. read more here.
Keywords: complex matrix; nilpotent complex; space roots; path connected ... See more keywords
The set of uniquely ergodic interval exchange transformations is path-connected
Sign Up to like & getrecommendations! Published in 2017 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2017.34
Abstract: Let $\unicode[STIX]{x1D70B}$ be a non-degenerate permutation on at least four symbols. We show that the set of uniquely ergodic interval exchange transformations with permutation $\unicode[STIX]{x1D70B}$ is path-connected. read more here.
Keywords: uniquely ergodic; interval exchange; ergodic interval; set uniquely ... See more keywords