Level curves, crossings and speed of specular points for Gaussian models

Efficient elliptic curve cryptosystems

Elliptic curve cryptosystems (ECC) are new generations of public key cryptosystems that have a smaller key size for the same level of security. The exponentiation on elliptic curve is the most important operation in ECC, so when the ECC is put into practice, the major problem is how to enhance the speed of the exponentiation. It is thus of great interest to develop algorithms for exponentiation...

On the average number of sharp crossings of certain Gaussian random polynomials

Identifying at Highway-Rail Grade Crossing Hotspots in Canada

This research presents a risk-based Hotspots identification model at highway-rail grade crossings in Canada. Two sets of models were developed to predict collision frequency and consequence at individual crossings. A two–dimensional graphic approach was adopted to combine these two models together to predict the risk at each crossing. Hotspots based on collision history tended to be widespread ...

Groundwater Level Forecasting Using Wavelet and Kriging

In this research, a hybrid wavelet-artificial neural network (WANN) and a geostatistical method were proposed for spatiotemporal prediction of the groundwater level (GWL) for one month ahead. For this purpose, monthly observed time series of GWL were collected from September 2005 to April 2014 in 10 piezometers around Mashhad City in the Northeast of Iran. In temporal forecasting, an artificial...

On Crossings of Arbitrary Curves by Certain Gaussian Processes1

under conditions which are very close to the necessary ones. Here N(T) is the number of crossings of the level u in (0, T) by the stationary Gaussian process x(t), with covariance function r(r). The symbol £ denotes expectation. The treatment of this problem given by Bulinskaya is essentially a rigorization of the method used by Grenander and Rosenblatt [4], which in turn extends an argument du...