Abstract
We obtain upper Gaussian estimates of transition probabilities of a spatially non-homogeneous random walk confined to a multidimensional orthant. For the proof, we use comparison arguments based on discrete potential theory and variants of the Harnack principle.
Acknowledgments
We wish to thank the referees for many useful remarks and comments; their suggestions really improved the presentation of this manuscript.
Citation
Rim Essifi. Sami Mustapha. "Upper estimates for inhomogeneous random walks confined to the positive orthant." Electron. Commun. Probab. 26 1 - 14, 2021. https://doi.org/10.1214/21-ECP418
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