For (S; ) a measurable space, let C1 and C2 be convex, weak* closed sets of probability measures on . We show that if C1[C2 satis…es the Lyapunov property then there exists a set A 2 such that min 12C1 1(A) > max 22C2 2(A). We give applications to Maxmin Expected Utility and to the core of a lower probability. 1 Main result If 1 and 2 are two probability measures on a -algebra , then (by de…nit...

In this work, we study quantum correlations in mixed states. The states studied are modeled by a two-qubit system interacting with its environment via a quantum nondemolition (purely dephasing) as well as dissipative type of interaction. The entanglement dynamics of this two qubit system is analyzed and the existence of entangled states which do not violate Bell’s inequality, but can still be u...

The branching patterns of phylogenetic trees often disagree even when they have been constructed using different portions of the same data. This phylogenetic discord (incongruence) can be explained by real differences in evolutionary process or history, but also may be due simply to random chance or sampling error. Techniques for measuring and testing the significance of phylogenetic incongruen...

Based upon epidemiological surveys, adverse childhood events are proposed to be risk factors for adult depressive and anxiety disorders. However, the extent to which these events are seen in clinical patient populations is less clear. We examined the prevalence of a number of proposed risk factors for depression in 650 patients with mood and anxiety disorders at the time of presentation for tre...

" Serological discord" or " serological dissociation" are expressive terms used by French workers to describe the finding that different serological tests for syphilis give variable results on the same specimen of serum. When a battery consisting of a number of tests is used, an occasional discord among the results is inevitable and may render interpretation of the results difficult. It is most...