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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Higher-order Hamiltonian generalization evolution equations
高阶 哈密顿 广义演化方程
2023/11/13
In this talk, I will review several classes of higher-order generalizations of the integrable Camassa-Holm equation in the Hamiltonian forms. Then, I talk about some new results for one generalized Ca...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Lines on holomorphic contact manifolds and a generalization of (2,3,5)-distributions to higher dimensions
全纯接触流形 线和 （2，3，5） 高维度推广
2023/4/19
Since the celebrated work by Cartan, distributions with small growth vector (2,3,5) have been studied extensively. In the holomorphic setting, there is a natural correspondence between holomorphic (2,...
We generalize a construction of the Neron model for a family of intermediate
Jacobians due to Green, Griths and Kerr by using the theory of mixed Hodge modules.
It is a topological group de ned ov...
In 1912 Bieberbach proved that every compact flat Riemannian manifold M is
finitely covered by a flat torus. More precisely, M has the form (F\G)/H where
G is a group of translations of Euclidean ...
On a Generalization of Blaschke’s Rolling Theorem and the Smoothing of Surfaces
Blaschke’s Rolling Theorem generalized convexity
2015/8/20
A generalization of Blaschke’s Rolling Theorem for not necessarily convex sets is proved that exhibits an
intimate connection between a generalized notion of convexity, various concepts in mathematic...
Generalization of Extended Baum-Welch Parameter Estimation for Discriminative Training and Decoding
Extended Baum-Welch optimization speech
2015/7/28
We demonstrate the generalizability of the Extended Baum-Welch (EBW) algorithm not only for HMM parameter estimation but for decoding as well. We show that there can exist a general function associate...
THE 1987 WALD MEMORIAL LECTURES A GENERALIZATION OF SPECTRAL ANALYSIS WITH APPLICATION TO RANKED DATA
Spectral analysis the simulation data the space
2015/7/14
An analog of the spectral analysis of time series is developed for data in
general spaces. This is applied to data from an election in which 5738 people
rank ordered five candidates. Group theoret...
Hohenberg-Kohn Theorem for Coulomb Type Systems and Its Generalization
Coulomb system density functional theory electronic structure FundamentalTheorem of Algebra Hohenberg-Kohn theorem
2012/8/10
Density functional theory (DFT) has become a basic tool for the study of electronic
structure of matter, in which the Hohenberg-Kohn theorem plays a fundamental role in
the development of DFT. Unfor...
A new generalization of generalized hypergeometric functions
generalized hypergeometric functions Complex Variables
2012/6/15
In this paper a natural generalization of the familiar H -function of Fox namely the I -function is proposed. Convergence conditions, various series representations, elementary properties and special ...
A Generalization of Turaev's Virtual String Cobracket
Turaev's Virtual String Cobracket Geometric Topology
2011/9/19
Abstract: In a previous paper, we defined an operation $\mu$ that generalizes Turaev's cobracket for loops on a surface. We showed that, in contrast to the cobracket, this operation gives a formula fo...
Solvability and asymptotic analysis of a generalization of the Caginalp phase field system
phase field model well-posedness regularity asymptotic behaviour error estimates
2011/9/15
Abstract: We study a diffusion model of phase field type, which consists of a system of two partial differential equations involving as variables the thermal displacement, that is basically the time i...
On a Generalization of Bernoulli and Euler Numbers
Generalization of Bernoulli Euler Numbers Combinatorics
2011/9/15
Abstract: We introduce a series of numbers which serve as a generalization of Bernoulli, Euler numbers and binomial coefficients. Their properties are applied to solve a probability problem and sugges...
A further generalization of the colourful Caratheodory theorem
Colourful Caratheodory theorem colourful simplicial depth discrete geometry
2011/10/8
Abstract: Given d+1 sets, or colours, S_1, S_2,...,S_{d+1} of points in R^d, a colourful set is a set S in the union of the S_i such that the intersection of S with any S_i is of cardinality at most 1...
A generalization of a classical model in contract theory: The agent behavior
contract theory The agent behavior Optimization and Control
2011/9/8
Abstract: We present a first approximation of agent behaviour in a generalized model in contract theory. This model relaxes some of the the assumptions of one of the classical models allowing to inclu...
Generalization of some extremal problems on non-overlapping domains with free poles
Geometric Topology Complex Variables non-overlapping domains free poles
2011/8/25
Abstract: Although much research has been devoted to extremal problems on non-overlapping domains little is known about all solutions of this problems. We generalized some of this problems on the case...