Return of Fibonacci random walks
Research output: Journal contributions › Journal articles › Research › peer-review
Standard
In: Statistics and Probability Letters, Vol. 121, 01.02.2017, p. 51-53.
Research output: Journal contributions › Journal articles › Research › peer-review
Harvard
APA
Vancouver
Bibtex
}
RIS
TY - JOUR
T1 - Return of Fibonacci random walks
AU - Neunhäuserer, Jörg
PY - 2017/2/1
Y1 - 2017/2/1
N2 - We determine the probability of return for random walks on Z whose increment is given by the Fibonacci sequence. In addition we calculate the Hausdorff dimension of the set of these walks that return an infinite number of times.
AB - We determine the probability of return for random walks on Z whose increment is given by the Fibonacci sequence. In addition we calculate the Hausdorff dimension of the set of these walks that return an infinite number of times.
KW - Fibonacci numbers
KW - Hausdorff dimension
KW - Probability of return
KW - Random walks
KW - Mathematics
UR - http://www.scopus.com/inward/record.url?scp=84994021861&partnerID=8YFLogxK
U2 - 10.1016/j.spl.2016.10.009
DO - 10.1016/j.spl.2016.10.009
M3 - Journal articles
AN - SCOPUS:84994021861
VL - 121
SP - 51
EP - 53
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
SN - 0167-7152
ER -