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From diffusions on graphs to Markov chains via asymptotic state lumping
- Speaker(s)
- Adam Bobrowski
- Affiliation
- Politechnika Lubelska
- Date
- May 25, 2011, 4:15 p.m.
- Room
- room 5820
- Seminar
- Seminar of Biomathematics and Game Theory Group
We show that finite-state Markov chains may be approximated by fast
diffusions on finite graphs with semi-permeable membranes on vertices.
The approximation involves a singular perturbation with singularity in
both operator and boundary/transmission conditions. The result is
motivated by recent models of synaptic depression.
