4 papers
Balls-in-bins models with asymmetric feedback and reflection
Mikhail Menshikov, Vadim Shcherbakov
Balls-in-bins models describe a random sequential allocation of infinitely many balls into a finite number of bins. In these models a ball is placed into a bin with probability pro…
Skew Brownian motion with dry friction: joint density approach
Alexander Gairat, Vadim Shcherbakov
This note concerns distributions of Skew Brownian motion with dry friction and its occupation time. These distributions were obtained in [2] by using the Laplace transform and join…
Localisation in a growth model with interaction. Arbitrary graphs
Mikhail Menshikov, Vadim Shcherbakov
This paper concerns the long term behaviour of a growth model describing a random sequential deposition of particles on a finite graph. The probability of allocating a particle at…
Long term behaviour of a reversible system of interacting random walks
Svante Janson, Vadim Shcherbakov, Stanislav Volkov
This paper concerns the long-term behaviour of a system of interacting random walks labeled by vertices of a finite graph. The model is reversible which allows to use the method of…