TY - JOUR
T1 - Record-breaking statistics for random walks in the presence of measurement error and noise
AU - Edery, Yaniv
AU - Kostinski, Alexander B.
AU - Majumdar, Satya N.
AU - Berkowitz, Brian
N1 - Israel Science Foundation [221/11]; NSF Grant [AGS-1119164]; ANR Grant [2011-BS04-013-01]B. B. acknowledges support from the Israel Science Foundation (Grant No. 221/11). A. B. K. acknowledges NSF Grant No. AGS-1119164 and the hospitality of the Weizmann Institute of Science. S. N. M. acknowledges ANR Grant No. 2011-BS04-013-01 WALKMAT. Part of this work was carried out while S. N. M. was a Weston Visiting Professor at the Weizmann Institute of Science.
PY - 2013/5/3
Y1 - 2013/5/3
N2 - We examine distance record setting by a random walker in the presence of a measurement error δ and additive noise γ and show that the mean number of (upper) records up to n steps still grows universally as âŸ̈RnâŸ
AB - We examine distance record setting by a random walker in the presence of a measurement error δ and additive noise γ and show that the mean number of (upper) records up to n steps still grows universally as âŸ̈RnâŸ
UR - http://www.scopus.com/inward/record.url?scp=84877282670&partnerID=8YFLogxK
U2 - https://doi.org/10.1103/PhysRevLett.110.180602
DO - https://doi.org/10.1103/PhysRevLett.110.180602
M3 - مقالة
SN - 0031-9007
VL - 110
JO - Physical Review Letters
JF - Physical Review Letters
IS - 18
M1 - 180602
ER -