Record-breaking statistics for random walks in the presence of measurement error and noise

Yaniv Edery; Alexander B. Kostinski; Satya N. Majumdar; Brian Berkowitz

doi:10.1103/PhysRevLett.110.180602

Record-breaking statistics for random walks in the presence of measurement error and noise

Yaniv Edery, Alexander B. Kostinski, Satya N. Majumdar, Brian Berkowitz

Department of Earth and Planetary Sciences

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

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 âŸ̈R_nâŸ

Original language	English
Article number	180602
Number of pages	5
Journal	Physical Review Letters
Volume	110
Issue number	18
DOIs	https://doi.org/10.1103/PhysRevLett.110.180602
State	Published - 3 May 2013

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.110.180602

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title = "Record-breaking statistics for random walks in the presence of measurement error and noise",

abstract = "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 {\^a}{\"Ÿ}Rn{\^a}Ÿ",

author = "Yaniv Edery and Kostinski, \{Alexander B.\} and Majumdar, \{Satya N.\} and Brian Berkowitz",

note = "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.",

year = "2013",

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doi = "10.1103/PhysRevLett.110.180602",

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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

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U2 - 10.1103/PhysRevLett.110.180602

DO - 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 -

Record-breaking statistics for random walks in the presence of measurement error and noise

Abstract

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