Levy Downcrossing Theorem for the Arratia Flow

• Дата: 2015
• Автори: Chernega, P. P., Чернега, П. П.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2015
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1978
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the total number of downcrossings of a fixed strip by the trajectories of a continuum system of particles from the Arratia flow. We prove the convergence of the product of the strip width by the total number of downcrossings of the strip to the total local time for the Arratia flow. This st...