The paper deals with jump generators with a convolution kernel. Assuming that the kernel decays either exponentially or polynomially we prove a number of lower and upper bounds for the resolvent of such operators. We consider two applications of these results. First we obtain pointwise estimates for principal eigenfunction of jump generators perturbed by a compactly supported potential (so-call...

We study the quantization problem for certain types of jump processes. The probabilities for the number of jumps are assumed to be bounded by Poisson weights. Otherwise, jump positions and increments can be rather generally distributed and correlated. We show in particular that in many cases entropy coding error and quantization error have distinct rates. Finally, we investigate the quantizatio...

where subscripts 1 and 2 refer to the upstream and downstream flow conditions, respectively; F Froude number; F=V / gd; d and V flow depth and velocity, respectively; and g=gravity acceleration. The hydraulic jump is typically classified in terms of its inflow Froude number F1=V1 / gd1, which must be greater than unity Bélanger 1828; Henderson 1966 . For F1 slightly above unity, the hydraulic j...

In a former paper [9] we simplified the proof of a theorem on personalized random walk that is fundamental to graph nodes clustering and generalized it to bipartite graphs for a specific case where the proobability of random jump was proprtional to the number of links of ”personally prefereed” nodes. In this paper we turn to the more complex issue of graphs in which the random jump follows unif...

We consider the occurrence of record-breaking events in random walks with asymmetric jump distributions. The statistics of records in symmetric random walks was previously analyzed by Majumdar and Ziff [Phys. Rev. Lett. 101, 050601 (2008)] and is well understood. Unlike the case of symmetric jump distributions, in the asymmetric case the statistics of records depends on the choice of the jump d...

We analyze, implement, and evaluate a distributionsensitive point location algorithm based on the classical Jump & Walk, called Keep, Jump, & Walk. For a batch of query points, the main idea is to use previous queries to improve the current one. In practice, Keep, Jump, & Walk is actually a very competitive method to locate points in a triangulation. Regarding point location in a Delaunay trian...

When nonwetting fluid displaces wetting fluid in a porous rock many rapid pore-scale displacement events occur. These events are often referred to as Haines jumps and any drainage process in porous media is an ensemble of such events. However, the relevance of Haines jumps for larger scale models is often questioned. A common counter argument is that the high fluid velocities caused by a Haines...

results all variables reached a peak at 1 minute post-jump. salivary alpha-amylase, galvanic skin responses and heart rate did not return to basal value at 90 minutes post-jump, while cortisol returned to basal value at 90 minutes post-jump. conclusions this evidence indicates that parachute jumping is accompanied by a dissociation of sns and hpa response patterns in novice parachutists, showin...

Volleyball has become one of the most widely played participant sports in the world. Participation requires expertise in many physical skills and performance is often dependent on an individual's ability to jump and land. The incidence of injury in volleyball is similar to the rates reported for sports that are considered more physical contact sports. Though the most common source of injury in ...

Finite-volume procedure is presented for solving the natural convection of the laminar  nanofluid flow in a Γ shaped microchannel in this article. Modified Navier-Stokes equations for nanofluids are the basic equations for this problem. Slip flow region, including the effects of velocity slip and temperature jump at the wall, are the main characteristics of flow in the slip flow region. Steady ...