# Uniform moment bounds of multi-dimensional functions of discrete-time stochastic processes

@article{Ganguly2011UniformMB, title={Uniform moment bounds of multi-dimensional functions of discrete-time stochastic processes}, author={Arnab Ganguly and Debasish Chatterjee and John Lygeros and Heinz Koeppl}, journal={arXiv: Probability}, year={2011} }

We establish conditions for uniform $r$-th moment bound of certain $\R^d$-valued functions of a discrete-time stochastic process taking values in a general metric space. The conditions include an appropriate negative drift together with a uniform $L_p$ bound on the jumps of the process for $p > r + 1$. Applications of the result are given in connection to iterated function systems and biochemical reaction networks.

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