Short-time behavior of continuous-time quantum walks on graphs
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review A"
DOI: 10.1103/physreva.100.062320
Abstract: Dynamical evolution of systems with sparse Hamiltonians can always be recognized as continuous-time quantum walks (CTQWs) on graphs. In this paper, we analyze the short-time asymptotics of CTQWs. In recent studies, it was shown that… read more here.
Keywords: time; time quantum; time asymptotics; short time ... See more keywords
Long time asymptotics of unbounded additive functionals of Markov processes
Sign Up to like & getrecommendations! Published in 2017 at "Electronic Journal of Probability"
DOI: 10.1214/17-ejp104
Abstract: Under hypercontractivity and $L_p$-integrability of transition density for some $p>1$, we use the perturbation theory of linear operators to obtain existence of long time asymptotics of exponentials of unbounded additive functionals of Markov processes and… read more here.
Keywords: time asymptotics; unbounded additive; additive functionals; markov processes ... See more keywords