Local-density dependent Markov processes on graphons with epidemiological applications

Central and Local Limit Theories in Markov Dependent Random Variables

Load Balancing and Density Dependent Jump Markov Processes (extended abstract)

We provide a new approach for analyzing both static and dynamic randomized load balancing strategies. We demonstrate the approach by providing the first analysis of the following model: customers arrive as a Poisson stream of rate n, < 1, at a collection of n servers. Each customer chooses some constant d servers independently and uniformly at random from the n servers, and waits for service at...

ON THE INFINITE ORDER MARKOV PROCESSES

The notion of infinite order Markov process is introduced and the Markov property of the flow of information is established.

Concentration inequalities on product spaces with applications to Markov processes

Local Control of Interacting Markov Processes on Graphs with Compact State Space Local Control of Interacting Markov Processes on Graphs with Compact State Space

Discrete time Markov processes with multidimensional compact state space are considered where the coordinate processes are locally interacting and change their states synchronously. The interaction structure of the process is determined by some general graph. Decision makers control synchronuosly the system's behaviour on the coordinate level using only local information. Conditions are given w...