30,948 research outputs found
On the Chow ring of certain rational cohomology tori
Let be an abelian cover from a complex algebraic variety
with quotient singularities to an abelian variety. We show that induces
an isomorphism between the rational cohomology rings
and if and only if induces an isomorphism
between the Chow rings with rational coefficients
and
.Comment: 6 page
Quantifying the Chiral Magnetic Effect from Anomalous-Viscous Fluid Dynamics
In this contribution we report a recently developed Anomalous-Viscous Fluid
Dynamics (AVFD) framework, which simulates the evolution of fermion currents in
QGP on top of the bulk expansion from data-validated VISHNU hydrodynamics. With
reasonable estimates of initial conditions and magnetic field lifetime, the
predicted CME signal is quantitatively consistent with change separation
measurements in 200GeV Au-Au collisions at RHIC. We further develop the
event-by-event AVFD simulations that allow direct evaluation of two-particle
correlations arising from CME signal as well as the non-CME backgrounds.
Finally we report predictions from AVFD simulations for the upcoming isobaric
(Ru-Ru v.s. Zr-Zr ) collisions that could provide the critical test of the CME
in heavy ion collisions.Comment: Contribution to the Proceedings of the XXVIth International
Conference on Ultrarelativistic Nucleus-Nucleus Collisions (Quark Matter
2017), Feb 5-11, Chicago, U.S.A. 4 pages, 6 figure
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Bayesian Model Selection Approach to Multiple Change-Points Detection with Non-Local Prior Distributions
We propose a Bayesian model selection (BMS) boundary detection procedure using non-local prior distributions for a sequence of data with multiple systematic mean changes. By using the non-local priors in the BMS framework, the BMS method can effectively suppress the non-boundary spike points with large instantaneous changes. Further, we speedup the algorithm by reducing the multiple change points to a series of single change point detection problems. We establish the consistency of the estimated number and locations of the change points under various prior distributions. From both theoretical and numerical perspectives, we show that the non-local inverse moment prior leads to the fastest convergence rate in identifying the true change points on the boundaries. Extensive simulation studies are conducted to compare the BMS with existing methods, and our method is illustrated with application to the magnetic resonance imaging guided radiation therapy data
On the limit of extreme eigenvalues of large dimensional random quaternion matrices
Since E.P.Wigner (1958) established his famous semicircle law, lots of
attention has been paid by physicists, probabilists and statisticians to study
the asymptotic properties of the largest eigenvalues for random matrices. Bai
and Yin (1988) obtained the necessary and sufficient conditions for the strong
convergence of the extreme eigenvalues of a Wigner matrix. In this paper, we
consider the case of quaternion self-dual Hermitian matrices. We prove the
necessary and sufficient conditions for the strong convergence of extreme
eigenvalues of quaternion self-dual Hermitian matrices corresponding to the
Wigner case.Comment: 16 pages, 5 figure
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