27 citations · 55 across the 9 of their papers we have counts for
9 papers
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…
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…
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…
Variations of the elephant random walk
Allan Gut, Ulrich Stadtmüller
In the classical simple random walk the steps are independent, viz., the walker has no memory. In contrast, in the elephant random walk which was introduced by Schütz and Trimper i…
Generalized St. Petersburg games revisited
Allan Gut, Anders Martin-Löf
The topic of the present paper is a generalized St.\ Petersburg game in which the distribution of the payoff is given by , , where …
Between the LIL and the LSL
Allan Gut, Fredrik Jonsson, Ulrich Stadtmüller
In two earlier papers, two of the present authors (A.G. and U.S.) extended Lai's [Ann. Probab. 2 (1974) 432--440] law of the single logarithm for delayed sums to a multiindex setti…
On the LSL for random fields
Allan Gut, Ulrich Stadtmueller
In some earlier work we have considered extensions of Lai's (1974) law of the single logarithm for delayed sums to a multiindex setting with the same as well as different expansion…
Cesáro summation for random fields
Allan Gut, Ulrich Stadtmueller
Various methods of summation for divergent series of real numbers have been generalized to analogous results for sums of iid random variables. The natural extension of results corr…
Laws of the single logarithm for delayed sums of random fields
Allan Gut, Ulrich Stadtmüller
We extend a law of the single logarithm for delayed sums by Lai to delayed sums of random fields. A law for subsequences, which also includes the one-dimensional case, is obtained…