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We construct a sequence of transient random walks in random environments and prove that by proper scaling, it converges to a diffusion process with drifted Brownian potential. To this end,… Click to show full abstract
We construct a sequence of transient random walks in random environments and prove that by proper scaling, it converges to a diffusion process with drifted Brownian potential. To this end, we prove a counterpart of convergence for transient random walk in non-random environment, which is interesting itself.
Keywords:
transient random;
random environment;
scaling limit;
random;
random walk
Journal Title: Frontiers of Mathematics in China
Year Published: 2018
Link to full text (if available)
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Journal Title: Frontiers of Mathematics in China
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!