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math.PR2021
The Elephant random walk with gradually increasing memory
Allan Gut, Ulrich Stadtmüller
In the simple random walk the steps are independent, viz., the walker has no memory. In contrast, in the Elephant random walk(ERW), which was introduced by Schuetz and Trimper in 2…
math.PR2020
The number of zeroes in Elephant random walks with delays
Allan Gut, Ulrich Stadtmüller
In the simple random walk the steps are independent, whereas in the Elephant Random Walk (ERW), which was introduced by Schütz and Trimper in 2004, the next step always depends on…
math.PR2019
Elephant random walks with delays
Allan Gut, Ulrich Stadtmüller
In the simple random walk the steps are independent, viz., the walker has no memory. In contrast, in the Elephant Random walk (ERW), which was introduced by Schütz and Trimper in 2…