A Microscopic Model of Redistribution of Individuals Inside an ‘Elevator’

  • Marina Dolfin
  • Mirosław LachowiczEmail author
  • Andreas Schadschneider
Conference paper
Part of the Trends in Mathematics book series (TM)


We present and qualitatively analyze a stochastic microscopic model of redistribution of individuals inside a domain which can be thought as representing an elevator. The corresponding mesoscopic model is also derived.


Markov jump processes Microscopic model Individuals Elevator 

Mathematics Subject Classification (2010)

Primary: 00A69 35R09 35Q91; Secondary: 91B72. 91B74 39A30 



This work was completed with the support of the university of Messina through the grant Visiting Professor 2016.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Marina Dolfin
    • 1
  • Mirosław Lachowicz
    • 1
    • 2
    Email author
  • Andreas Schadschneider
    • 3
  1. 1.Dipartimento di IngegneriaUniversitá di MessinaMessinaItaly
  2. 2.Instytut Matematyki Stosowanej i MechanikiUniwersytet WarszawskiWarsawPoland
  3. 3.Institut für Theoretische PhysikUniversität zu KölnKölnGermany

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