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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On Bernstein Theorem of Affine Maximal Hypersurface
仿射 极大超曲面 伯恩斯坦定理
2023/4/13
Bernstein problem for affine maximal type hypersurfaces has been a core problem in affine geometry. A conjecture proposed firstly by Chern (Proc. Japan-United States Sem., Tokyo, 1977, 17-30) for enti...
THE STABLE BERNSTEIN CENTER AND TEST FUNCTIONS FOR SHIMURA VARIETIES
function BERNSTEIN CENTER
2015/9/29
We elaborate the theory of the stable Bernstein center of a p-adic group G,
and apply it to state a general conjecture on test functions for Shimura varieties due to
the author and R. Kottwitz. This...
BASE CHANGE FOR BERNSTEIN CENTERS OF DEPTH ZERO PRINCIPAL SERIES BLOCKS
BERNSTEIN ZERO PRINCIPAL SERIES BLOCKS
2015/9/29
Let G be an unrami ed group over a p-adic eld. This article introduces a base change homomorphism for Bernstein centers of depth-zero principal
series blocks for G and proves the corresponding base ...
The Schr鰀er-Bernstein property for a-saturated models
Schr鰀er-Bernstein property a-saturated models
2015/9/25
A first-order theory T has the Schr╫der-Bernstein (SB) property
if any pair of elementarily bi-embeddable models are isomorphic. We prove
that T has an expansion by constants with the SB property if...
The Schr鰀er-Bernstein property for weakly minimal theories
The Schr鰀er-Bernstein property weakly minimal theories
2015/9/25
For a countable, weakly minimal theory T, we show that the SchröderBernstein
property (any two elementarily bi-embeddable models are isomorphic)
is equivalent to each of the following:
1. For ...
The Schroder-Bernstein property for a-saturated models
Schroder-Bernstein property a-saturated models Logic
2012/3/1
A first-order theory T has the Schr\"oder-Bernstein (SB) property if any pair of elementarily bi-embeddable models are isomorphic. We prove that T has an expansion by constants that has the SB propert...
Solution of the Generalized Abel Integral Equation by Using Almost Bernstein Operational Matrix
Abel Inversion Bernstein Polynomials Almost Bernstein Operational Matrix Of Integration Noise Resistance
2013/1/30
A direct almost Bernstein operational matrix of integration is used to propose a stable algorithm for numerical inversion of the generalized Abel integral equation. The applicability of the earlier pr...
A note on a maximal Bernstein inequality
Bernstein inequality dependent sums maximal inequality mixing partial sums
2011/9/13
Abstract: We show somewhat unexpectedly that whenever a general Bernstein-type maximal inequality holds for partial sums of a sequence of random variables, a maximal form of the inequality is also val...
Some approximation properties of Lupa\cs $q$-analogue of Bernstein operators
q-Bernstein polynomials Lupa¸ s q-analogue Voronovskaja-type
2011/2/23
In this paper, we discuss rates of convergence for the Lupa¸s q-analogue of Bernstein
polynomials Rn,q. We prove a quantitative variant of Voronovskaja’s theorem for Rn,q.
Generating functions for the Bernstein polynomials: A unified approach to deriving identities for the Bernstein basis functions
Bernstein polynomials generating function Szasz-Mirakjan basis functions
2011/2/28
The main aim of this paper is to provide a unified approach to deriving identities for the Bernstein polynomials using a novel generating function. We derive various functional equations and different...
Base change for Bernstein centers of depth zero principal series blocks
Base change Bernstein centers depth zero principal series blocks
2011/2/25
Let G be an unramified group over a p-adic field. This article intro-duces a base change homomorphism for Bernstein centers of depth-zero principal series blocks for G and proves the corresponding bas...
Zeta functions and Bernstein-Sato polynomials for ideals in dimension two
Zeta functions Bernstein-Sato polynomials ideals dimension two
2011/2/28
For a nonzero ideal I ⊳C[x1, . . . , xn], with 0 ∈ supp I, a (general-ized) conjecture of Igusa–Denef–Loeser predicts that every pole of its topologi-cal zeta function is a root of its Bernstein...
Bernstein von Mises Theorems for Gaussian Regression with increasing number of regressors
Bernstein von Mises Theorems Gaussian Regression increasing number of regressors
2010/12/1
This paper brings a contribution to the Bayesian theory of nonparametric and semiparametric estimation.
q-Bernstein polynomials associated with q-stirling numbers and Carlitz's q-Bernoulli numbers
q-Bernstein polynomial Bernoulli numbers and polynomials
2010/12/8
Recently, T. Kim([4]) introduced q-Bernstein polynomials which are different q-Bernstein polynomials of Phillips([12]). In this paper, we give p-adic q-integral representation for Kim’s q-Bernstein po...
On p-adic analogue of q-Bernstein polynomials and related integrals
q-Bernstein polynomial Bernoulli numbers and poly-nomials p-adic q-integral
2010/12/8
Recently, T. Kim([5]) introduced q-Bernstein polynomials which are different q-Bernstein polynomials of Phillips q-Bernstein polynomials([11, 12]). The purpose of this paper is to study some propertie...