Consider a complete graph Kn where the edges have costs given by independent random variables, each distributed uniformly between 0 and 1. The cost of the minimum spanning tree in this graph is a random variable which has been the subject of much study. This note considers the large deviation probability of this random variable. Previous work has shown that the log-probability of deviation by ε...

We study the decay rate of large deviation probabilities of occupation times, up to time t, for the voter model η : Z × [0,∞) → {0, 1} with simple random walk transition kernel, starting from a Bernoulli product distribution with density ρ ∈ (0, 1). In [2], Bramson, Cox and Griffeath showed that the decay rate order lies in [log(t), log(t)]. In this paper, we establish the true decay rates depe...

It is well known that some important Markov semi-groups have a “regularization effect” – as for example th hypercontractivity property of the noise operator on Boolean hypercube or Ornstein-Uhlenbeck semi-group real line, which applies to functions in Lp p > 1. Talagrand had conjectured 1989 has further subtle regularization are just integrable, but this conjecture remains open. Nonetheless, Ga...

All service and manufacturing businesses are resilient strive for a more efficient better end in today's world. Data mining is data-driven necessitates significant data to analyze the pattern train model. Assume incorrect was not collected from reliable sources, causing analysis be skewed. We introduce procedure which dataset split into test training datasets with specific ratio overcome this c...

[1] We use four-year time series of precipitable water (PW) and zenith neutral delay (ZND) derived from a GPS network in Hawaii to show that the statistical distributions of these quantities are closely approximated by the lognormal distribution. The long term average and median values of precipitable water decline exponentially with height, or very nearly so. The arithmetic standard deviation ...

AbstracfThe probability of co-channel interference (PCI) due to multiple correlated log-normal signals is calculated for cellular radio systems operating in Rayleigh fading and lognormal shadowing environment. The effects on the PCI of the correlation between the signals, the standard deviation due to shadowing, the number of interferers, the co-channel protection ratio, and the traffic load is...

The transport of bacterial strain DA001 was examined in packed quartz sand under a variety of environmentally relevant ionic strength and flow conditions. Under all conditions, the retained bacterial concentrations decreased with distance from the column inlet at a rate that was faster than loglinear, indicating that the deposition rate coefficient decreased with increasing transport distance. ...

The single particle phase function and the linear polarization for large stochastically deformed spheres have been calculated by Monte Carlo simulation using the geometrical optics approximation. The radius vector of a particle is assumed to obey a bivariate lognormal distribution with three free parameters: mean radius, its standard deviation and the coherence length of the autocorrelation f...