It is well known that the time average or the center of mass for generic orbits of the standard tent map is 0.5. In this paper we show some interesting properties of the exceptional orbits, including periodic orbits, orbits without mass center, and orbits with mass centers different from 0.5. We prove that for any positive integer n, there exist n distinct periodic orbits for the standard tent ...

Conformally Stäckel manifolds can be characterized as the class of $n$-dimensional pseudo-Riemannian $(M,G)$ on which Hamilton–Jacobi equation $$ G(\nabla u, \nabla u) = 0 for null geodesics and Laplace $-\Delta\_G , \psi 0$ are solvable by R-separation variables. In particular case in metric has Riemannian signature, they provide explicit examples metrics admitting a set $n-1$ commuting confor...

Transportation data center has recently become a common practice of modern integrated transportation management in major cities of China. Being the convergence center of large-scale multi-source vehicle tracking data, it caused great challenge on GPS map-matching efficiency and privacy protection. In this paper, we propose a secure parallel map-matching system based on Cloud Computing technolog...

1. Abstract A chain (linearly ordered set) is rigid if it has no non-trivial automor-phisms. The construction of dense rigid chains was carried out by Dushnik and Miller for subsets of R, and there is a rather diierent construction of dense rigid chains of cardinality , an uncountable regular cardinal, using stationary sets as`codes', which was adapted by Droste in 1] to show the existence of r...

OBJECTIVE To analyze changes in the incidence, diagnostic procedures, comorbidity, length of hospital stay (LOHS), costs and in-hospital mortality (IHM) for patients with bronchiectasis who were hospitalized in Spain over a 10-year period. METHODS We included all admissions for patients diagnosed with bronchiectasis as primary or secondary diagnosis during 2004-2013. RESULTS 282,207 patient...