• Corpus ID: 117170395

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

  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},
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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