Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Record-breaking statistics for random walks in the presence of
  measurement error and noise   We address the question of distance record-setting by a random walker in the
presence of measurement error, $\delta$, and additive noise, $\gamma$ and show
that the mean number of (upper) records up to $n$ steps still grows universally
as $< R_n> \sim n^{1/2}$ for large $n$ for all jump distributions, including
L\'evy flights, and for all $\delta$ and $\gamma$. In contrast to the universal
growth exponent of 1/2, the pace of record setting, measured by the pre-factor
of $n^{1/2}$, depends on $\delta$ and $\gamma$. In the absence of noise
($\gamma=0$), the pre-factor $S(\delta)$ is evaluated explicitly for arbitrary
jump distributions and it decreases monotonically with increasing $\delta$
whereas, in case of perfect measurement $(\delta=0)$, the corresponding
pre-factor $T(\gamma)$ increases with $\gamma$. Our analytical results are
supported by extensive numerical simulations and qualitatively similar results
are found in two and three dimensions.

10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph