Let X = (Xt)t≥0 be a self-similar Markov process with values in [0,∞[, such that the state 0 is a trap. We present a necessary and sufficient condition for the existence of a self-similar recurrent extension of X that leaves 0 continuously. This condition is expressed in terms of the Lévy process associated with X by the Lamperti transformation.

Dynamic attributes are attributes that change continuously over time making it impractical to issue explicit updates for every change. In this paper, we adapt a variant of the quadtree structure to solve the problem of indexing dynamic attributes. The approach is based on the key idea of using a linear function of time for each dynamic attribute that allows us to predict its value in the future...

a faunistic list of syrphidae sampled in the agroecosystems of neyshabur (khorasan-razavi province) through malaise, yellow water traps and hand net is hereby presented for the first time. a total of 22 species were collected, including 13 species through malaise trap, 5 through yellow water trap as well as representatives of all species sampled through hand net. among the species collected, 8 ...

Vortices in a Bose-Einstein condensate are modelled as spontaneously symmetry breaking minimum energy solutions of the time dependent Gross-Pitaevskii equation, using method constrained optimization. In non-rotating axially symmetric trap, core single vortex precesses around trap center and, at same time, phase its wave function shifts constant rate. The precession velocity, speed shift, and di...

The construction of optimized biological fuel cells requires a cathode which combines the longevity microbial catalyst with current density an enzymatic catalyst. Laccase-secreting fungi were grown directly on cell to facilitate exchange inactive enzymes active enzymes, goal extending lifetime laccase cathodes. Directly incorporating laccase-producing fungus at extends operational cathodes whil...

We have continuously imaged the controlled motion of a single atom as well as of a small number of distinguishable atoms with observation times exceeding one minute. The Cesium atoms are confined to potential wells of a standing wave optical dipole trap which allows to transport them over macroscopic distances. The atoms are imaged by an intensified CCD camera, and spatial resolution near the d...

The enhanced coupling between atoms and photons inside a high-finesse optical cavity provides a novel basis for optical measurements that continuously monitor atomic degrees of freedom. We describe an experiment in which cavity quantum-electrodynamic effects are utilized for real-time detection of individual atoms falling through an optical cavity after being dropped from a magneto-optical trap...