This paper shows that many hyperbolic manifolds obtained by glueing arithmetic pieces embed into higher-dimensional as codimension-one totally geodesic submanifolds. As a consequence, Gromov--Pyatetski-Shapiro and Agol--Belolipetsky--Thomson non-arithmetic geodesically. Moreover, we show the number of commensurability classes with representative volume $\leq v$ bounds geometrically is at least ...

The discovery by Marcy et al. (2001) of two planets in 2:1 orbital resonance about the star GJ 876 has been supplemented by a dynamical fit to the data by Laughlin & Chambers (2001) which places the planets in coplanar orbits deep in three resonances at the 2:1 mean-motion commensurability. The selection of this almost singular state by the dynamical fit means that the resonances are almost cer...

The discovery by Marcy et al. (2001) of two planets in 2:1 orbital resonance about the star GJ 876 has been supplemented by a dynamical fit to the data by Laughlin & Chambers (2001) which places the planets in coplanar orbits deep in three resonances at the 2:1 mean-motion commensurability. The selection of this almost singular state by the dynamical fit means that the resonances are almost cer...

Until now, decision under uncertainty and multicriteria decision making have been investigated separately and almost independently, although there is a close link between both fields. Decision theory is also closely related to measurement theory. Besides, it is well known that additive representations in decision making are not sufficient to avoid paradoxes such as Ellsberg’s paradox. Therefore...