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Itō's formula for Walsh's Brownian motion and applications

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Publication:2452872
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DOI10.1016/j.spl.2013.12.021zbMath1315.60066OpenAlexW1983307577MaRDI QIDQ2452872

Hatem Hajri, Wajdi Touhami

Publication date: 5 June 2014

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: http://orbilu.uni.lu/handle/10993/14409


zbMATH Keywords

harmonic functionsWalsh's Brownian motionstochastic flowsItō's formula


Mathematics Subject Classification ID

Stochastic integrals (60H05)


Related Items (7)

Stochastic integral equations for Walsh semimartingales ⋮ Stochastic flows and an interface SDE on metric graphs ⋮ Limit behaviour of random walks on ℤmwith two-sided membrane ⋮ On skew sticky Brownian motion ⋮ Semimartingales on rays, Walsh diffusions, and related problems of control and stopping ⋮ Embedding of Walsh Brownian motion ⋮ Stationary distributions and convergence for Walsh diffusions



Cites Work

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  • Stochastic flows related to Walsh Brownian motion
  • Unfolding the Skorohod reflection of a semimartingale
  • Flows, coalescence and noise.
  • Diffusion processes on graphs: Stochastic differential equations, large deviation principle
  • Stochastic flows on metric graphs




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