arXiv subjects

Roumen Borisov

Publications and source records attributed to Roumen Borisov.

3 recordsLinked to original sources

arXiv2020

Probability distribution connected to stationary flow of substance in a channel of network containing finite number of arms

We discuss a channel consisting of nodes of a network and lines which connect these nodes and form ways for motion of a substance through the channel. We study stationary flow of substance for channel which arms contain finite number of nodes each and obtain probability distribution for substance in arms of this channel. Finally we calculate Shannon information measure for the case of stationary flow of substance in a simple channel consisting of a single arm having just three nodes.

cond-mat.stat-mech↗

arXiv2019

On the Mathematical Theory of Human Migration: Model of a Migration Channel with a Secondary and a Tertiary Arm

We study the motion of substance in a finite channel that belongs to a network. The channel splits to two arms in a node of the network. There is an additional split of the secondary arm. We obtain analytical relationships for the distribution of the substance in the nodes of the channel for the case of stationary regime of the motion of the substance in the arms of the channel. The obtained results are discussed from the point of view of application of the model to migration dynamics: model of motion of migrants in a channel consisting of chains of countries with different probabilities for obtaining permission to stay for the migrants in the different countries of the channel

physics.soc-ph↗

arXiv2018

On a flow of substance in a channel of network that contains a main arm and two branches

We study the motion of a substance in a channel that is part of a network. The channel has 3 arms and consists of nodes of the network and edges that connect the nodes and form ways for motion of the substance. Stationary regime of the flow of the substance in the channel is discussed and statistical distributions for the amount of substance in the nodes of the channel are obtained. These distributions for each of the three arms of the channel contain as particular case famous long-tail distributions such as Waring distribution, Yule-Simon distribution and Zipf distribution. The obtained results are discussed from the point of view of technological applications of the model (e.g., the motion of the substance is considered to happen in a complex technological system and the obtained analytical relationships for the distribution of the substance in the nodes of the channel represents the distribution of the substance in the corresponding cells of the technological chains). A possible application of the obtained results for description of human migration in migration channels is discussed too.

physics.soc-ph↗