For spider diffusions with a local-time dependent spinning measure, the paper proves Itô calculus, no atom at the junction, Feynman-Kac representations, local-time approximations, the strong Markov property, and vertex scattering limits.
Well posedness of linear Parab olic partial differential equation posed on a star-shaped network with local-time Kirchhoff’s boundary c ondition at the vertex
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
method 1
citation-polarity summary
fields
math.PR 1years
2025 1verdicts
CONDITIONAL 1roles
method 1polarities
use method 1representative citing papers
citing papers explorer
-
On spider diffusions having a spinning measure selected from their own local time
For spider diffusions with a local-time dependent spinning measure, the paper proves Itô calculus, no atom at the junction, Feynman-Kac representations, local-time approximations, the strong Markov property, and vertex scattering limits.