3 papers
math.PR2013
Bit flipping and time to recover
Anton Muratov, Sergei Zuyev
We call `bits' a sequence of devices indexed by positive integers, where every device can be in two states: (idle) and (active). Start from the `ground state' of the system…
math.PR2013
Neighbour-dependent point shifts and random exchange models: invariance and attractors
Anton Muratov, Sergei Zuyev
Consider a stationary renewal point process on the real line and divide each of the segments it defines in a proportion given by \iid realisations of a fixed distribution suppo…
math.PR2012
LISA: Locally Interacting Sequential Adsorbtion
Anton Muratov, Sergei Zuyev
We study a class of dynamically constructed point processes in which at every step a new point (particle) is added to the current configuration with a distribution depending on the…