We study large deviations for intersection local times of p independent d-dimensional symmetric stable processes of index β, under the condition p(d − β) < d. Our approach is based on FeynmanKac type large deviations, moment computations and some techniques from probability in Banach spaces.

The dimensional factors of the cervical undercut of the human teeth were measured. The facial and lingual undercuts showed considerable deviations in depth, width, and inclination to the crown axis and the food stream. The proximal undercuts showed a uniform depth of 1 +/- 0.3 mm with some deviations in width and inclination.

introduction: implant bed preparation with laser is taken into consideration owing to the increased interest in use of lasers in hard tissue surgery. the purpose of this study is to determine the deviations in the position and inclination between the planned and prepared implant beds with erbium, chromium doped yttrium scandium gallium garnet (er,cr: ysgg) laser using stereolithographic (sla) s...

Large deviations principles for a family of scalar 1 + 1 dimensional conservative stochastic PDEs (viscous conservation laws) are investigated, in the limit of jointly vanishing noise and viscosity. A first large deviations principle is obtained in a space of Young measures. The associated rate functional vanishes on a wide set, the so-called set of measurevalued solutions to the limiting conse...