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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Gauss-Bonnet formula beyond the aspherical conjecture
超越非球面猜想 Gauss-Bonnet 曲面
2023/4/21
In this talk, I'll make a discussion on recent progress in the research of scalar curvature. I'll review the backgrounds from Gauss-Bonnet formula to the aspherical conjecture, and then focus on the f...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Shape-on-Scalar Regression Models: Going Beyond Prealigned Non-Euclidean Responses
标量 形状回归模型 超越预先对齐 非欧几里得
2023/5/5
The problem of using covariates to predict shapes of objects in a regression setting is important in many fields. A formal statistical approach, termed geodesic regression model, is commonly used for ...
Introductory Workshop:Enumerative Geometry Beyond Numbers
Introductory Workshop Enumerative Geometry Beyond Numbers
2017/12/20
This workshop will consist of expository mini-courses and lectures introducing various aspects of modern enumerative geometry, among which: enumeration via intersection theory on moduli spaces of curv...
BOSE–EINSTEIN CONDENSATION BEYOND MEAN FIELD:MANY-BODY BOUND STATE OF PERIODIC MICROSTRUCTURE
Bose–Einstein condensation homogenization many-body perturbation theory two-scale expansion singular perturbation mean field limit bound state
2015/10/16
We study stationary quantum fluctuations around a mean field limit in trapped, dilute atomic gases of repulsively interacting bosons at zero temperature. Our goal is to describe quantum-mechanically t...
ERRATUM:BOSE–EINSTEIN CONDENSATION BEYOND MEAN FIELD:MANY-BODY BOUND STATE OF PERIODIC MICROSTRUCTURE
Bose–Einstein condensation homogenization many-body perturbation theory two-scale expansion singular perturbation mean field limit bound state
2015/10/16
This is a correction to the author’s article [Multiscale Model. Simul.,10 (2012), pp.383–417].
BEYOND MEAN FIELD: ON THE ROLE OF PAIR EXCITATIONS IN THE EVOLUTION OF CONDENSATES
BEYOND MEAN FIELD PAIR EXCITATIONS
2015/10/15
This paper is in part a summary of our earlier work
[17, 18, 19], and in part an announcement introducing a re nement
of the equations for the pair excitation function used in our previous work with...
Computers have a remarkable ability to simulate natural and arti cial
phenomena. Industry, science, economic a airs and national security have
come to rely upon simulation as an essential technology...
A popular theory of self-organized criticality relates driven dissipative systems to systems with conservation. This theory predicts that the stationary density of the abelian sandpile model equals th...
The purpose of this presentation is
to paint a broadbrush picture of the
challenge of providing mathematics
teaching that encourages learning
that goes beyond ‘the basics’.
Theoretical and Experimental Aspects of the Higgs Mechanism in the Standard Model and Beyond
constraints on Higgs mass Higgs decay modes Higgs production channels
2014/12/12
The Standard Model of particle physics is the best existing theory for describing the interactions between elementary particles. Even though the Standard Model has been confirmed in many experiments, ...
Supercomputing beyond genealogy reveals surprising European ancestors（图）
genealogy reveals European ancestors
2014/12/1
What if you researched your family's genealogy, and a mysterious stranger turned out to be an ancestor?
That's the surprising feeling had by a team of scientists who peered back into Europe's murky p...
For chaotic cavities with scattering leads attached, transport properties can be approximated in terms of the classical trajectories which enter and exit the system.
Graded limits of minimal affinizations and Beyond: the multiplicty free case for type E6
Graded limits of minimal affinizations Beyond multiplicty free case for type E6
2011/1/21
We obtain a graded character formula for certain graded modules for the current algebra over a simple Lie algebra of type E6. For certain values of their highest weight, these modules were conjectured...
Intrinsic ergodicity beyond specification: beta-shifts, S-gap shifts, and their factors
beta-shifts S-gap shifts factors
2010/11/18
We give sufficient conditions for a shift space $(\Sigma,\sigma)$ to be intrinsically ergodic, along with sufficient conditions for every subshift factor of $\Sigma$ to be intrinsically ergodic. As a...
Beyond pressureless gas dynamics : Quadrature-based velocity moment models
gas dynamics Quadrature-based velocity moment models
2010/11/19
Following the seminal work of F. Bouchut on zero pressure gas dynamics which has been extensively used for gas particle-flows, the present contribution investigates quadrature-based velocity moments ...