6,456 research outputs found
Majorana neutrino signals at Belle-II and ILC
For some theoretical and experimental considerations, the relatively light
Majorana neutrinos at the GeV scale have been attracting some interest. In this
article we consider a scenario with only one Majorana neutrino , negligible
mixing with the active neutrinos , where the Majorana neutrino
interactions could be described in a model independent approach based on an
effective theory. Under such a framework, we particularly study the feasibility
of observing the with mass in the range 030 GeV via the process e^+ e^-
\to \nu N \to\gamma + \slashed E in the future Belle-II and ILC experiments.
The results show that it is unpromising for Belle-II to observe the signal,
while ILC may easily make a discovery for the Majorana neutrino.Comment: 14 pages, 7 figures, 2 table
On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler Equations
We investigate the large time behavior of an axisymmetric model for the 3D
Euler equations. In \cite{HL09}, Hou and Lei proposed a 3D model for the
axisymmetric incompressible Euler and Navier-Stokes equations with swirl. This
model shares many properties of the 3D incompressible Euler and Navier-Stokes
equations. The main difference between the 3D model of Hou and Lei and the
reformulated 3D Euler and Navier-Stokes equations is that the convection term
is neglected in the 3D model. In \cite{HSW09}, the authors proved that the 3D
inviscid model can develop a finite time singularity starting from smooth
initial data on a rectangular domain. A global well-posedness result was also
proved for a class of smooth initial data under some smallness condition. The
analysis in \cite{HSW09} does not apply to the case when the domain is
axisymmetric and unbounded in the radial direction. In this paper, we prove
that the 3D inviscid model with an appropriate Neumann-Robin boundary condition
will develop a finite time singularity starting from smooth initial data in an
axisymmetric domain. Moreover, we prove that the 3D inviscid model has globally
smooth solutions for a class of large smooth initial data with some appropriate
boundary condition.Comment: Please read the published versio
Nearly Optimal Stochastic Approximation for Online Principal Subspace Estimation
Processing streaming data as they arrive is often necessary for high
dimensional data analysis. In this paper, we analyse the convergence of a
subspace online PCA iteration, as a followup of the recent work of Li, Wang,
Liu, and Zhang [Math. Program., Ser. B, DOI 10.1007/s10107-017-1182-z] who
considered the case for the most significant principal component only, i.e., a
single vector. Under the sub-Gaussian assumption, we obtain a finite-sample
error bound that closely matches the minimax information lower bound of Vu and
Lei [Ann. Statist. 41:6 (2013), 2905-2947].Comment: 37 page
- …