1,854 research outputs found
Some unbounded functions of intermittent maps for which the central limit theorem holds
We compute some dependence coefficients for the stationary Markov chain whose
transition kernel is the Perron-Frobenius operator of an expanding map of
with a neutral fixed point. We use these coefficients to prove a
central limit theorem for the partial sums of , when belongs to
a large class of unbounded functions from to . We also
prove other limit theorems and moment inequalities.Comment: 16 page
XLIII. Extract from a memoir entitled "Considerations on colours, and several of their singular appearances." Read in the mathematical and physical class of the French National Institute, Ventose 13, an 13
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A latitude-dependent wind model for Mira's cometary head
We present a 3D numerical simulation of the recently discovered cometary
structure produced as Mira travels through the galactic ISM. In our simulation,
we consider that Mira ejects a steady, latitude-dependent wind, which interacts
with a homogeneous, streaming environment. The axisymmetry of the problem is
broken by the lack of alignment between the direction of the relative motion of
the environment and the polar axis of the latitude-dependent wind. With this
model, we are able to produce a cometary head with a ``double bow shock'' which
agrees well with the structure of the head of Mira's comet. We therefore
conclude that a time-dependence in the ejected wind is not required for
reproducing the observed double bow shock.Comment: 4 pages, 4 figures, accepted for publication in ApJ
Comprehensive Imaging of Coronary Stent Using Ultra-High Resolution Spectral Photon Counting CT: A Multimodality Validation.
Adaptive density estimation for stationary processes
We propose an algorithm to estimate the common density of a stationary
process . We suppose that the process is either or
-mixing. We provide a model selection procedure based on a generalization
of Mallows' and we prove oracle inequalities for the selected estimator
under a few prior assumptions on the collection of models and on the mixing
coefficients. We prove that our estimator is adaptive over a class of Besov
spaces, namely, we prove that it achieves the same rates of convergence as in
the i.i.d framework
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