Free generic Poisson fields and algebras

2017 ◽  
Vol 46 (4) ◽  
pp. 1799-1812 ◽  
Author(s):  
Ivan Kaygorodov ◽  
Ivan Shestakov ◽  
Ualbai Umirbaev
Keyword(s):  
Poisson Fields

A Highway Traffic Model

1975 ◽  
Vol 12 (S1) ◽  
pp. 303-309
Author(s):  
Herbert Solomon
Keyword(s):  
Poisson Process ◽  
Poisson Distribution ◽  
Random Measure ◽  
Traffic Model ◽  
Highway Traffic ◽  
Intensity Parameter ◽  
Time Space ◽  
Random Line ◽  
Straight Line ◽  
Poisson Fields

The trajectory of a car traveling at a constant speed on an idealized infinite highway can be viewed as a straight line in the time-space plane. Entry times are governed by a Poisson process with intensity parameter A leading to all trajectories as random lines in a plane. The Poisson distribution of number of encounters of cars on the highway is developed through random line models and non-homogeneous Poisson fields, and its parameter, which depends on the specific random measure employed, is obtained explicitly.

TLM algorithms for Laplace and Poisson fields in semiconductor transport

1995 ◽  
Author(s):  
Donard de Cogan ◽  
A. Chakrabarti ◽  
Richard W. Harvey
Keyword(s):  
Semiconductor Transport ◽  
Poisson Fields

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.

scholarly journals Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields

2012 ◽  
Vol 349 (1) ◽  
pp. 372-379 ◽  
Author(s):  
Leonid Makar-Limanov ◽  
Ivan Shestakov
Keyword(s):  
Poisson Algebras ◽  
Poisson Fields
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