From diffusions on graphs to Markov chains via asymptotic state lumping

Prelegent(ci)

Adam Bobrowski

Afiliacja

Politechnika Lubelska

Termin

25 maja 2011 16:15

Pokój

p. 5820

Seminarium

Seminarium Zakładu Biomatematyki i Teorii Gier

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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.

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