scholarly journals Fractional Poisson field and fractional Brownian field: why are they resembling but different?

2013 ◽  
Vol 18 (0) ◽  
Author(s):  
Hermine Biermé ◽  
Yann Demichel ◽  
Anne Estrade
Keyword(s):  
Fractional Brownian Field ◽  
Poisson Field

scholarly journals Path Selection in a Poisson field

2016 ◽  
Vol 167 (3-4) ◽  
pp. 703-712 ◽  
Author(s):  
Yossi Cohen ◽  
Daniel H. Rothman
Keyword(s):  
Path Selection ◽  
Poisson Field

The random volume of interpenetrating spheres in space

1973 ◽  
Vol 10 (02) ◽  
pp. 483-490 ◽  
Author(s):  
P. A. P. Moran
Keyword(s):  
Complete Coverage ◽  
Mean And Variance ◽  
The Mean ◽  
Random Spheres ◽  
Poisson Field

The distribution of the volume occupied by random spheres in a cube is considered, both when the number of spheres is fixed and when their centres form a Poisson field. The mean and variance are obtained and in the latter case the distribution is proved to converge to normality. The probability of complete coverage is also obtained heuristically.

A note on linear estimation of the intensity in a doubly stochastic Poisson field

1971 ◽  
Vol 8 (03) ◽  
pp. 612-614
Author(s):  
Jan Grandell
Keyword(s):  
Fixed Point ◽  
Linear Estimation ◽  
Linear Estimate ◽  
Borel Set ◽  
Doubly Stochastic ◽  
Intensity Field ◽  
Poisson Field

Summary A realization of a doubly stochastic Poisson field is assumed to be observed in a Borel set S ⊂ Rk. The best linear estimate of the realization of the intensity field (at an arbitrary but fixed point x ∈ S) which generated the observation is obtained.

scholarly journals Free Poisson fields and their automorphisms

2016 ◽  
Vol 15 (10) ◽  
pp. 1650196 ◽  
Author(s):  
Leonid Makar-Limanov ◽  
Ualbai Umirbaev
Keyword(s):  
Universal Enveloping Algebra ◽  
Arbitrary Field ◽  
Group Of Automorphisms ◽  
Cremona Group ◽  
Enveloping Algebra ◽  
Ideal Ring ◽  
Poisson Fields ◽  
Poisson Field

Let [Formula: see text] be an arbitrary field of characteristic [Formula: see text]. We prove that the group of automorphisms of a free Poisson field [Formula: see text] in two variables [Formula: see text] over [Formula: see text] is isomorphic to the Cremona group [Formula: see text]. We also prove that the universal enveloping algebra [Formula: see text] of a free Poisson field [Formula: see text] is a free ideal ring and give a characterization of the Poisson dependence of two elements of [Formula: see text] via universal derivatives.

Performance Of Hybrid-access Overlaid Cellular Mimo Networks With Transmit Selection And Receive Mrc In Poisson Field Interference

2014 ◽  
Author(s):  
Amro Hussen ◽  
Fawaz Al Qahtani ◽  
Mohamed Shaqfeh ◽  
Redha M. Radaydeh ◽  
Hussein Alnuweiri
Keyword(s):  
Mimo Networks ◽  
Hybrid Access ◽  
Poisson Field
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