We study the Cauchy problem for the relativistic Boltzmann equation with near vacuum initial data. Unique global-in-time mild solutions are obtained uniformly in the speed of light parameter c ≥ 1. We furthermore prove that solutions to the relativistic Boltzmann equation converge to solutions of the Newtonian Boltzmann equation in the limit as c→∞ on arbitrary time intervals [0, T ], with conv...

We investigate the transformation laws of coordinates in generalizations of special relativity with two observer-independent scales. The request of covariance leads to simple formulas if one assumes noncanonical Poisson brackets, corresponding to noncommuting spacetime coordinates. ∗email: [email protected]

The paper provides a survey of known results on geometric aspects related to Nambu-Poisson brackets.

The Russian establishment—politicians, agricultural officials, corporate farm managers, the media — firmly believe that inadequate access to credit is one of the major factors constraining the growth of the agricultural sector. In technical terms, they in effect claim that Russian agriculture faces credit rationing. In this article, we apply discrete regression analysis to study the determinant...

Department of Statistical Science, Duke University March 24, 2008 We show the posterior consistency of certain nonparametric regression models using Lévy Random field priors. An easily verifiable sufficient condition is derived for the posterior consistency to hold in popular models which use Lévy random fields for regression and function estimation. We apply our results to a Poisson regression...

A class of n-ary Poisson structures of constant rank is indicated. Then, one proves that the ternary Poisson brackets are exactly those which are defined by a decomposable 3-vector field. The key point is the proof of a lemma which tells that an n-vector (n ≥ 3) is decomposable iff all its contractions with up to n− 2 covectors are decomposable. In the last years, several authors have studied g...

A class of n-ary Poisson structures of constant rank is indicated. Then, one proves that the ternary Poisson brackets are exactly those which are defined by a decomposable 3-vector field. The key point is the proof of a lemma which tells that an n-vector (n ≥ 3) is decomposable iff all its contractions with up to n − 2 covectors are decomposable. In the last years, several authors have studied ...

In crash frequency studies, correlated multivariate data are often obtained for each roadway entity longitudinally. The multivariate models would be a potential useful method for analysis, since they can account for the correlation among the specific crash types. However, one issue that arises with this correlated multivariate data is the number of zero counts increases as crash counts have man...

background: in chile, a new law introduced in march 2012 lowered the blood alcohol concentration (bac) limit for impaired drivers from 0.1% to 0.08% and the bac limit for driving under the influence of alcohol from 0.05% to 0.03%, but its effectiveness remains uncertain. the goal of this investigation was to evaluate the effects of this enactment on road traffic injuries and fatalities in chile...