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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the transcendental Morse inequality
先验 莫尔斯不等式 射影流形 可动锥 对偶性
2023/5/4
We report the work “Duality between the pseudoeffective and the movable cone of a projective manifold” of Witt Nystrom, where he proved the transcendental Morse inequality for projective manifolds.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Boltzmann-Gibbs principle in L^p sense via Littlewood-Paley-Stein inequality
L^p意义 玻尔兹曼-吉布斯原理 利特尔伍德-佩利-斯坦不等式
2023/5/15
KPZ limit for one-dimensional weakly asymmetric Ginzburg-Landau model was studied by Diehl-Gubinelli-Perkowski in a setting of martingale (energy) solution. Our goal is to apply a path-wise approach b...
The purpose of this note is to present an extension and an alternative proof to Theorem 1.3 from G. Battle (Appl. Comput. Harmonic Anal. 4 (1997) 119–146). This extension applies to wavelet Bessel set...
Determinant maximization with linear matrix inequality constraints
Matrix linear matrix inequality (lmi) computational geometry statistics system identification communication theory
2015/8/11
The problem of maximizing the determinant of a matrix subject to linear matrix inequalities arises in many fields, including computational geometry, statistics, system identification, experiment desig...
The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity
Harnack inequality second-order parabolic equations divergence-free drifts low regularity
2015/7/14
We establish the Harnack inequality for advection-diffusion equations with divergencefree drifts of low regularity.While our previous work [IKR] considered the elliptic case, here we treat the more ch...
An improved sum-product inequality in fields of prime order
sum-product inequality prime order
2010/11/18
This note improves the best known exponent 1/12 in the prime field sum-product inequality (for small sets) to 1/11, modulo a logarithmic factor.
In this paper, we established a new Ostrowski-type inequality involving functions of two independent variables.
Logarithmic Sobolev inequality for diffusion semigroups
Logarithmic Sobolev inequality Poincar´ e inequality Ornstein-Uhlenbeck semigroup
2010/12/8
Through the main example of the Ornstein-Uhlenbeck semigroup, the Bakry-Emery criterion is presented as a main tool to get functional inequalities as Poincar´e or logarithmic Sobolev inequalitie...
A Berezin-Li-Yau type inequality for the fractional Laplacian on a bounded domain
Berezin-Li-Yau type inequality fractional Laplacian bounded domain
2010/12/9
A Berezin-Li-Yau type inequality for (−) /2|, the fractional Laplacian op-erators restriced to a bounded domain ⊂ Rd for ∈ (0, 2], d ≥ 2, has not been known so far. First we positivel...
Exotic structures and adjunction inequality。
Some Companions of an Ostrowski Type Inequality and Applications
Ostrowski type inequality Perturbed trapezoid rule Midpoint rule Composite quadrature rule
2010/1/22
We establish some companions of an Ostrowski type integral inequality for functions whose derivatives are absolutely continuous. Applications for composite quadrature rules are also given.
The Best Constants for a Double Inequality in a Triangle
Inequality Best Constant Triangle
2010/1/22
In this short note, by using some of Chen's theorems and classic analysis, we obtain a double inequality for triangle and give a positive answer to a problem posed by Yang and Yin [6].
In the present note a general integral inequality is proved in the direction that was initiated by Q.A. Ng?et al. [Note on an integral inequality, J. Inequal. Pure and Appl. Math., 7 (4) (2006), Art. ...
A Multinomial Extension of an Inequality of Haber
Haber inequality multinomial coefficient symmetric functions
2010/1/25
In this paper, we establish the following: Let be non negative real numbers, then for all we have The case gives the Haber inequality. We apply the result to find lower bounds for the sum of r...
A Weighted Geometric Inequality and Its Applications
Triangle Point Polar moment of inertia inequality
2010/1/25
A new weighted geometric inequality is established by Klamkin's polar moment of inertia inequality and the inversion transformation, some interesting applications of this result are given, and some c...