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We provide two methods to construct zero-range processes with superlinear rates on ${\mathbb Z}^d$. In the first method these rates can grow very fast, if either the dynamics and the… Click to show full abstract
We provide two methods to construct zero-range processes with superlinear rates on ${\mathbb Z}^d$. In the first method these rates can grow very fast, if either the dynamics and the initial distribution are translation invariant or if only nearest neigbour translation invariant jumps are permitted, in the one-dimensional lattice. In the second method the rates cannot grow as fast but more general dynamics are allowed.
Keywords:
growing rates;
range processes;
zero range;
processes rapidly;
rapidly growing
Journal Title: Electronic Journal of Probability
Year Published: 2021
Link to full text (if available)
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Journal Title: Electronic Journal of Probability
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!