From diffusions on graphs to Markov chains via asymptotic state lumping
Artykuł w czasopiśmie
| Status: | |
| Autorzy: | Bobrowski Adam |
| Rok wydania: | 2012 |
| Wersja dokumentu: | Drukowana | Elektroniczna |
| Język: | angielski |
| Numer czasopisma: | 13 |
| Strony: | 1501 - 1510 |
| Web of Science® Times Cited: | 25 |
| Scopus® Cytowania: | 30 |
| Bazy: | Web of Science | Scopus |
| Efekt badań statutowych | NIE |
| Materiał konferencyjny: | NIE |
| Publikacja OA: | NIE |
| Abstrakty: | angielski |
| We show that fast diffusions on finite graphs with semi permeable membranes on vertices may be approximated by finite-state Markov chains provided the related permeability coefficients are appropriately small. The convergence theorem involves a singular perturbation with singularity in both operator and boundary/transmission conditions, and the related semigroups of operators converge in an irregular manner. The result is motivated by recent models of synaptic depression |
