We derive sharp Moser-Trudinger inequalities on the CR sphere. The first type is in the Adams form, for powers of the sublaplacian and for general spectrally defined operators on the space of CRpluriharmonic functions. We will then obtain the sharp Beckner-Onofri inequality for CR-pluriharmonic functions on the sphere, and, as a consequence, a sharp logarithmic Hardy-Littlewood-Sobolev inequali...

1. Networking Power: the power of the actors and organizations included in the networks that constitute the core of the global network society over human collectives and individuals who are not included in these global networks. 2. Network Power: the power resulting from the standards required to coordinate social interaction in the networks. In this case, power is exercised not by exclusion fr...

As was shown recently by the authors, the entropy power inequality can be reversed for independent summands with sufficiently concave densities, when the distributions of the summands are put in a special position. In this note it is proved that reversibility is impossible over the whole class of convex probability distributions. Related phenomena for identically distributed summands are also d...

In this paper we investigate the effect of power on prosocial decision-making. While previous research has thoroughly investigated this relation in Western cultures, we focus our research on the role of power in an understudied MiddleEastern culture. Existing literature suggest an inverse relationship between feeling of power and prosocial behavior, where generally people in high levels of powe...

Abstract. A k -hypertournament is a complete k -hypergraph with each k -edge endowed with an orientation, that is, a linear arrangement of the vertices contained in the edge. In a k hypertournament, the score si (losing score ri ) of a vertex vi is the number of edges containing vi in which vi is not the last element (in which vi is the last element). In this paper we obtain inequalities involv...

We present a simple proof of the entropy-power inequality using an optimal transportation argument which takes the form of a simple change of variables. The same argument yields a reverse inequality involving a conditional differential entropy which has its own interest. For each inequality, the equality case is easily captured by this method and the proof is formally identical in one and sever...

Latterly much attention has been attracted, and rightly so, to the number, variety, and potency of the socio-economic factors which strongly incline married couples deliberately to restrain their fertility and thereby to limit the size of-their families. A tendency to overlook a number of purely biological factors which work in the same direction is to be discerned. These latter are for the mos...

Understanding the development of power structure is important in understanding the development of social structure. Power is predictive of social behaviors and affects the costs and benefits of living in a social group. We explore how individuals in a primate society use a network of subordination signals to determine the power structure of their group in hopes of understanding how this power s...

On the Hidden Costs of Incentive Schemes By enriching a principal-agent model it is shown that the introduction of monetary incentives may reduce an agent’s motivation. In a first step, we allow for the possibility that some agents stick to unverifiable agreements. The larger the fraction of reliable agents, the lower powered will then be the optimal incentive scheme and fixed wages become opti...