4,227 research outputs found
Intrinsic character of Stokes matrices
Two germs of linear analytic differential systems
with a non resonant irregular singularity are analytically equivalent if and
only if they have the same eigenvalues and equivalent collections of Stokes
matrices. The Stokes matrices are the transition matrices between sectors on
which the system is analytically equivalent to its formal normal form. Each
sector contains exactly one separating ray for each pair of eigenvalues. A
rotation in allows supposing that lies in the intersection of
two sectors. Reordering of the coordinates of allows ordering the real
parts of the eigenvalues, thus yielding triangular Stokes matrices. However,
the choice of the rotation in is not canonical. In this paper we establish
how the collection of Stokes matrices depends on this rotation, and hence on a
chosen order of the projection of the eigenvalues on a line through the origin.Comment: 10 pages, 3 figure
The median of a jittered Poisson distribution
Let and be two independent random variables respectively
distributed as a Poisson distribution with parameter and a uniform
distribution on . This paper establishes that the median, say , of
is close to and more precisely that
as . This result is used to
construt a very simple robust estimator of which is consistent and
asymptotically normal. Compared to known robust estimates, this one can still
be used with large datasets ()
A mesoscopic description of radiative heat transfer at the nanoscale
We present a formulation of the nanoscale radiative heat transfer (RHT) using
concepts of mesoscopic physics. We introduce the analog of the Sharvin
conductance using the quantum of thermal conductance. The formalism provides a
convenient framework to analyse the physics of RHT at the nanoscale. Finally,
we propose a RHT experiment in the regime of quantized conductance
Adsorption air conditioner
A solar powered air conditioner using the adsorption process is constructed with its components in a nested cylindrical array for compactness and ease of operation
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