On approximations of the point measures associated with the Brownian web by means of the fractional step method and the discretization of the initial interval

• Datum: 2020
• Hauptverfasser: Dorogovtsev, A. A., Vovchanskii, M. B.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2020
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/6279
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 519.21 We establish the rate of weak convergence in the fractional step method for the Arratia flow in terms of the Wasserstein distance between the images of the Lebesque measure under the action of the flow. We introduce finite-dimensional densities that describe sequences of collisions in the...