– We study the behavior near the origin of C2 positive solutions u(x) of au − u u (∗) in a punctured neighborhood of the origin in R (n > 2) where the constants λ and a satisfy n n−2 < λ< n+2 n−2 and 0 < a < 1. We also study the existence of C 2 positive solutions of (∗) in R. In both cases we show that changing a from one value in the open interval (0,1) to another value in (0,1) can have a dr...

Abstract Béla Bartók's relationship with the Pro Arte Quartet was not as personal composer-pianist's Waldbauer-Kerpely Quartet, New Hungarian or even Kolisch Quartet. Professionally, however, it equally fruitful. This study describes between composer and quartet, mainly based on surviving correspondence Bartók impresario Gaston Verhuyck-Coulon, Viennese publisher Universal Edition. It discusses...

MINIMUM QUARTET INCONSISTENCY (MQI) Input: A set S of n taxa and a set QS of quartet topologies such that there is exactly one topology for every quartet set corresponding to S, and an integer k. Question: Is there an evolutionary tree T where the leaves are bijectively labeled by the elements from S such that the set of quartet topologies induced by T differs from QS in at most k quartet topol...

Inferring evolutionary trees has long been a challenging problem both for biologists and computer scientists. In recent years research has concentrated on the quartet method paradigm for inferring evolutionary trees. Quartet methods proceed by rst inferring the evolutionary history for every set of four species (resulting in a set Q of inferred quartet topologies) and then recombining these inf...

Inferring evolutionary trees has long been a challenging problem both for biologists and computer scientists. In recent years research has concentrated on the quartet method paradigm for inferring evolutionary trees. Quartet methods proceed by first inferring the evolutionary history for every set of four species (resulting in a set Q of inferred quartet topologies) and then recombining these i...

Predictions of elliptic flow (v2) and nuclear modification factor (RAA) are provided as a function of centrality in U + U collisions at √ s NN = 200 GeV. Since the U nucleus is naturally deformed, one could adjust the properties of the fireball, density and duration of the hot and dense system, for example, in high energy nuclear collisions by carefully selecting the colliding geometry. Within ...