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I am interested in the following mean-field model introduced in the reference below: There are $N$ particles. At each instant of time, a particle's state is a particular value taken from the finite ...

For an ergodic Markov Chain $$ \frac{1}{N}\sum_{i=1}^n f(X_i) \rightarrow E_\pi[f] $$ where $\pi$ is the invariant distribution. I am also dealing with a Markovian process (a state space model to ...

Suppose $(X,T)=\{(X_n,T_n)\}_{n\geq0}$ is a Markov renewal process, where $X$ is a finite-state, discrete-time Markov chain with state space $\{1,2,...,R\}$. $T$ is the additive component, more ...

I am interested in the following mean-field model introduced in the reference below: There are $N$ particles. At each instant of time, a particle's state is a particular value taken from the finite ...