Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal potentials for diffusive search strategies   We consider one dimensional diffusive search strategies subjected to external
potentials. The location of a single target is drawn from a given probability
density function (PDF) $f_G(x)$ and is fixed for each stochastic realization of
the process. We optimize the quality of the search strategy as measured by the
mean first passage time (MFPT) to the position of the target. For a symmetric
but otherwise arbitrary distribution $f_G(x)$ we find the optimal potential
that minimizes the MFPT. The minimal MFPT is given by a nonstandard measure of
the dispersion, which can be related to the cumulative R\'enyi entropy. We
compare optimal times in this model with optimal times obtained for the model
of diffusion with stochastic resetting, in which the diffusive motion is
interrupted by intermittent jumps (resets) to the initial position.
Additionally, we discuss an analogy between our results and a so-called
square-root principle.

27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math