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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some special cases of the three dimensional Kakeya conjecture and their application to the restriction conjecture
三维Kakeya猜想 特殊情况 限制猜想
2023/5/9
We will discuss two special cases of the three-dimensional Kakeya conjecture: SL_2 Kakeya and a refined Wolff's hairbrush result. As an application of the refined Wolff's hairbrush result, we will dis...
Effect of 24-h severe energy restriction on appetite regulation and ad libitum energy intake in lean men and women
appetite hormones energy balance calorie restriction,
2018/12/19
Background: Intermittent severe energy restriction (SER) can induce substantial weight loss, but the appetite regulatory responses to SER are unknown and may dictate long-term dietary adherence.
Effect of carbohydrate restriction in the first meal after an overnight fast on glycemic control in people with type 2 diabetes: a randomized trial
carbohydrate continuous glucose monitoring glucose postprandial type 2 diabetes
2018/12/18
Background: People with type 2 diabetes are advised to consume an even meal distribution of carbohydrate. Whether this distribution is optimal is unknown.
Effects of Water Restriction on the Growth Performance, Carcass Characteristics and Organ Weights of Naked Neck and Ovambo Chickens of Southern Africa
Chickens Ovambo Feed Intake Growth Performance Water Restriction Semi-arid Areas
2016/5/16
In semi-arid areas of Southern Africa, dehydration can compromise the performance and welfare of local chickens, particularly during the growing period when confinement is curtailed and birds are left...
Quantum ergodic restriction for Cauchy data: Interior QUE and restricted QUE
Quantum ergodic restriction Cauchy data Interior QUE restricted QUE Analysis of PDEs
2012/5/24
We prove a quantum ergodic restriction theorem for the Cauchy data of a sequence of quantum ergodic eigenfunctions on a hypersurface $H$ of a Riemannian manifold $(M, g)$. The technique of proof is to...
On the restriction of Zuckerman's derived functor modules A_q(λ) to reductive subgroups
unitary representation Zuckerman’s derived functor module branching law reductive group D-module flag variety
2011/9/6
Abstract: In this paper, we study the restriction of Zuckerman's derived functor (g,K)-modules A_q(\lambda) to g' for symmetric pairs of reductive Lie algebras (g,g'). When the restriction decomposes ...
Categories of unitary representations of Banach-Lie supergroups and restriction functors
Banach–Lie supergroups unitary representations smooth vectors analytic vectors
2011/8/25
Abstract: We prove that the categories of smooth and analytic unitary representations of Banach--Lie supergroups are well-behaved under restriction functors, in the sense that the restriction of a rep...
Extension of Symmetric Spaces and Restriction of Weyl Groups and Invariant Polynomials
Invariant polynomials Extension of symmetric spaces Spherical Fourier transform
2011/1/17
Polynomial invariants are fundamental objects in analysis on Lie groups and symmetric spaces. Invariant differential operators on symmetric spaces are described by Weyl group invariant poly-nomial.
Restriction and spectral multiplier theorems on asymptotically conic manifolds
Restriction spectral multiplier theorems asymptotically conic manifolds
2011/2/22
The classical Stein-Tomas restriction theorem is equivalent to the statement that the spectral measure dE() of the square root of the Laplacian on Rn is bounded from Lp(Rn) to Lp′
(Rn) for 1 p 2...
Restriction Site Tiling Analysis: accurate discovery and quantitative genotyping of genome-wide polymorphisms using nucleotide arrays
Site Tiling Analysis accurate discovery
2015/12/11
High-throughput genotype data can be used to identify genes important for local adaptation in wild populations,
phenotypes in lab stocks, or disease-related traits in human medicine. Here we advance...
Bethe lattice solution of a model of SAW's with up to 3 monomers per site and no restriction
Bethe lattice solution model of SAW's 3 monomers per site no restriction
2010/11/23
In the multiple monomers per site (MMS) model, polymeric chains are represented by walks on
a lattice which may visit each site up to K times. We have solved the unrestricted version of this model, w...
Restriction maps on 1-cohomology of (algebraic) groups
Restriction maps on 1-cohomology of groups
2010/11/11
Our first theorem is a version of the five lemma in a certain situation of pointed sets arising from non-abelian 1-cohomology. For our second, we show that a connected, unipotent algebraic group Q ac...
Toward a Mackey formula for compact restriction of character sheaves
Mackey formula compact restriction character sheaves
2010/11/15
We generalize a result by Cunningham-Salmasian to a Mackey-type formula for the compact restriction of a semisimple perverse sheaf produced by parabolic induction from a character sheaf, under certai...
Restriction estimates for the paraboloid over finite fields
Restriction estimates paraboloid over finite fields
2010/12/7
We prove certain endpoint restriction estimates for the paraboloid over finite fields in
three and higher dimensions. Working in the bilinear setting, we are able to pass from esti-
mates for charac...
Gaussians Rarely Extremize Adjoint Fourier Restriction Inequalities For Paraboloids
Gaussians Rarely Extremize Adjoint Fourier Restriction Inequalities Paraboloids
2011/1/19
Let Pd−1 be the paraboloid in Rd,Pd−1 = {(y′, yd) ∈ Rd−1 × R : yd = |y′|2/2}.Equip Pd−1 with the appropriately dilation-invariant measure on Rd defined by Z Rd f(y′, yd) d(y...