We shall give simple sufficient conditions for the Orlicz type bounds for the averaging operators and restriction operators associated with infinitely flat curves in the plane. Our results, obtained by scaling, can be used to recover, up to the endpoints, the results previously obtained in [BMO91], [Bak94], and [Bak94-2]. We also prove some three dimensional analogs of those results.

Recent type Ia supernovae data seem to favor a dark energy model whose equation of state w(z) crosses −1, which is a much more amazing problem than the acceleration of the universe. Either the case that w(z) evolves from above −1 to below −1 or the case that w(z) runs from below −1 to above −1, sometimes dubbed quintom A and quintom B, respectively, is consistent with present data. In this pape...

Under proper scaling and distributional assumptions, we prove the convergence in the Skorokhod space endowed with the M1-topology of a sequence of stochastic integrals of a deterministic function driven by a time-changed symmetric α-stable Lévy process. The time change is given by the inverse β-stable subordinator.

Research on global pitch trends has shown that statements and different types of questions in Dutch all display distinct patterns, and suggests that these may be influenced by the presence of accentual prominence on wh-words and whether syntactic cues to interrogativity are present [11]. This implies that there would be different pitch trends in a language such as Korean which lacks accentual p...

We address the problem of ranking distributions of opportunity sets in terms of poverty. In order to accomplish this task, we identify a suitable notion of ‘multidimensional poverty line’ and we characterize axiomatically several poverty rankings of opportunity profiles. Among them, the Head-Count and the OpportunityGap poverty rankings, which are the natural counterparts of the most widely use...

By applying the categorical perception (CP) paradigm complemented by measurements of reaction time (RT), we provide evidence for a categorical scaling contrast in the nuclear position of utterances with narrowly focused constituents in Argentinean Porteño-Spanish. While the tritonal accent L+H*+L is perceived as signaling contrast, L* is interpreted as its neutral counterpart.

Detection of task-solving strategies is one way to reconstruct cognitive structures. When the number of users exceeds the number of possible strategies, many users will have a strategy in common. Based on these common features, the aim of this paper is to find automatic methods which group users sharing the same strategy. Following two different methods, intersection and exclusion, we define a ...

A bulk viscosity is introduced in the formalism of modified gravity. It is shown that, based on a natural scaling law for the viscosity, a simple solution can be found for quantities such as the Hubble parameter and the energy density. These solutions may incorporate a viscosity-induced Big Rip singularity. By introducing a phase transition in the cosmic fluid, the future singularity can nevert...

To what extent do Modern Greek, Polish, Swedish and American English similarly lexicalize action concepts, and how similar are the semantic associations between verbs denoting natural actions? Previous results indicate cross-linguistic stability between American English, Swedish, and Polish in verbs denoting basic human body movement, mouth movements, and sound production. The research reported...