scholarly journals Baryon stopping as a relativistic Markov process in phase space

2020 ◽  
Vol 2 (3) ◽  
Author(s):  
Johannes Hoelck ◽  
Georg Wolschin

2007 ◽  
Vol 40 (47) ◽  
pp. 14253-14262 ◽  
Author(s):  
T Hashimoto ◽  
M Horibe ◽  
A Hayashi


Author(s):  
Jevgeņijs Carkovs ◽  
Aija Pola ◽  
Kārlis Šadurskis

Abstract This paper deals with linear impulse dynamical systems on ℝd whose parameters depend on an ergodic piece-wise constant Markov process with values from some phase space 𝕐 and on a small parameter ɛ. Trajectories of Markov process x(t,y)∈ ℝd satisfy a system of linear differential equations with close to constant coefficients on its continuity intervals, while its phase coordinate changes discontinuously when Markov process switching occur. Jump sizes depend linearly on the phase coordinate and are proportional to the small parameter ɛ. We propose a method and an algorithm for choosing the base 𝔹(t,y) of the space ℝd that provides approximation of average phase trajectories E{x(t,y)} by a solution of a system of linear differential equations with constant coefficients.



2019 ◽  
Vol 34 (3) ◽  
pp. 133-142
Author(s):  
Alexander I. Noarov

Abstract A system of ordinary differential equations describing a stationary distribution of a Markov process with the phase space R × {1, 2, …, M} is considered. The finite element method is proposed for calculation of its solution as a probability density.



1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.



1987 ◽  
Vol 48 (C2) ◽  
pp. C2-233-C2-239
Author(s):  
P. DANIELEWICZ




Author(s):  
M. V. Noskov ◽  
M. V. Somova ◽  
I. M. Fedotova

The article proposes a model for forecasting the success of student’s learning. The model is a Markov process with continuous time, such as the process of “death and reproduction”. As the parameters of the process, the intensities of the processes of obtaining and assimilating information are offered, and the intensity of the process of assimilating information takes into account the attitude of the student to the subject being studied. As a result of applying the model, it is possible for each student to determine the probability of a given formation of ownership of the material being studied in the near future. Thus, in the presence of an automated information system of the university, the implementation of the model is an element of the decision support system by all participants in the educational process. The examples given in the article are the results of an experiment conducted at the Institute of Space and Information Technologies of Siberian Federal University under conditions of blended learning, that is, under conditions when classroom work is accompanied by independent work with electronic resources.



1991 ◽  
Vol 161 (2) ◽  
pp. 13-75 ◽  
Author(s):  
Lev V. Prokhorov ◽  
Sergei V. Shabanov


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