Estimation of diurnal bandwidth requirement using random point process and product density

2016 ◽  
Author(s):  
Vijayalakshmi Chetlapalli ◽  
K. S. S. Iyer ◽  
Sunil Patil ◽  
Himanshu Agrawal
Keyword(s):  
Point Process ◽  
Random Point ◽  
Product Density ◽  
Bandwidth Requirement

scholarly journals Random point processes and tilings arising from Gaussian analytic functions

2014 ◽  
Vol 70 (a1) ◽  
pp. C523-C523
Author(s):  
Michael Baake ◽  
Holger Koesters ◽  
Robert Moody
Keyword(s):  
Point Process ◽  
Analytic Functions ◽  
Point Processes ◽  
Logarithmic Potential ◽  
Basins Of Attraction ◽  
Random Point ◽  
Specific Class ◽  
Determinantal Point Processes ◽  
Point Sets ◽  
Gaussian Analytic Functions

Getting a grasp of what aperiodic order really entails is going to require collecting and understanding many diverse examples. Aperiodic crystals are at the top of the largely unknown iceberg beneath. Here we present a recently studied form of random point process in the (complex) plane which arises as the sets of zeros of a specific class of analytic functions given by power series with randomly chosen coefficients: Gaussian analytic functions (GAF). These point sets differ from Poisson processes by having a sort of built in repulsion between points, though the resulting sets almost surely fail both conditions of the Delone property. Remarkably the point sets that arise as the zeros of GAFs determine a random point process which is, in distribution, invariant under rotation and translation. In addition, there is a logarithmic potential function for which the zeros are the attractors, and the resulting basins of attraction produce tilings of the plane by tiles which are, almost surely, all of the same area. We discuss GAFs along with their tilings and diffraction, and as well note briefly their relationship to determinantal point processes, which are also of physical interest.

Random Point Process

1976 ◽  
Vol 27 (3) ◽  
pp. 782-783
Author(s):  
H. O'Brien
Keyword(s):  
Point Process ◽  
Random Point

Perfect simulation using dominating processes on ordered spaces, with application to locally stable point processes

2000 ◽  
Vol 32 (3) ◽  
pp. 844-865 ◽  
Author(s):  
Wilfrid S. Kendall ◽  
Jesper Møller
Keyword(s):  
Point Process ◽  
Discrete Time ◽  
Point Processes ◽  
Random Point ◽  
Perfect Simulation ◽  
Stable Point ◽  
Birth And Death Processes ◽  
The Past ◽  
Coupling From The Past ◽  
Equilibrium Distributions

In this paper we investigate the application of perfect simulation, in particular Coupling from the Past (CFTP), to the simulation of random point processes. We give a general formulation of the method of dominated CFTP and apply it to the problem of perfect simulation of general locally stable point processes as equilibrium distributions of spatial birth-and-death processes. We then investigate discrete-time Metropolis-Hastings samplers for point processes, and show how a variant which samples systematically from cells can be converted into a perfect version. An application is given to the Strauss point process.

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