most citedA self-similar process arising from a random walk with random environment in random scenery

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math.ST2011★ 1 cited

A self-similar process arising from a random walk with random environment in random scenery

Brice Franke, Tatsuhiko Saigo

In this article, we merge celebrated results of Kesten and Spitzer [Z. Wahrsch. Verw. Gebiete 50 (1979) 5-25] and Kawazu and Kesten [J. Stat. Phys. 37 (1984) 561-575]. A random wal…