PURPOSE The aim of the present study was to evaluate the in vivo accuracy of flapless, computer-aided implant placement by comparing the three-dimensional (3D) position of planned and placed implants through an analysis of linear and angular deviations. METHODS Implant position was virtually planned using 3D planning software based on the functional and aesthetic requirements of the final res...

We study the large deviations of excited random walks on Z. We prove a large deviation principle for both the hitting times and the position of the random walk and give a qualitative description of the respective rate functions. When the excited random walk is transient with positive speed v0, then the large deviation rate function for the position of the excited random walk is zero on the inte...

High-resolution numerical simulations of stationary inverse energy cascade in two-dimensional turbulence are presented. Deviations from Gaussian behavior of velocity differences statistics are quantitatively investigated. The level of statistical convergence is pushed enough to permit reliable measurement of the asymmetries in the probability distribution functions of longitudinal increments an...

We establish the moderate and small deviations for the ranges of the integer valued random walks. Our theorems apply to the limsup and the liminf laws of the iterated logarithm.