Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing Eigen-Emittances from Tracking Data   In a strongly nonlinear system the particle distribution in the phase space
may develop long tails which contribution to the covariance (sigma) matrix
should be suppressed for a correct estimate of the beam emittance. A method is
offered based on Gaussian approximation of the original particle distribution
in the phase space (Klimontovich distribution) which leads to an equation for
the sigma matrix which provides efficient suppression of the tails and cannot
be obtained by introducing weights. This equation is easily solved by
iterations in the multi-dimensional case. It is also shown how the
eigen-emittances and coupled optics functions can be retrieved from the sigma
matrix in a strongly coupled system. Finally, the developed algorithm is
applied to 6D ionization cooling of muons in HFOFO channel.

9
The categories of this paper are: nlin
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg