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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A unified method to construct soliton solutions to NLS type equations by the KP-Toda reduction approach: Part II discrete case
KP-户田约简法 NLS类型 方程孤子解 统一方法 离散情况
2023/4/27
In the second part, I will mainly focus on two semi-discrete models: Ablowitz-Ladik equation and fully discrete NLS equation. First, I will clarify the connection of these two discrete models with dis...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A unified method to construct soliton solutions to NLS type equations by the KP-Toda reduction approach: Part I continuous case
KP-户田约简法 NLS类型 方程孤子解 统一方法 离散情况
2023/4/27
In these two talks, I will present a unified method to construct soliton solutions to NLS type equations by the KP-Toda reduction approach. I will take the NLS equation as a typical example and show h...
SHIMURA VARIETIES WITH Γ1(p)-LEVEL VIA HECKE ALGEBRA ISOMORPHISMS: THE DRINFELD CASE
VIA HECKE ALGEBRA THE DRINFELD CASE
2015/9/29
We study the local factor at p of the semi-simple zeta function of a Shimura
variety of Drinfeld type for a level structure given at p by the pro-unipotent radical of an
Iwahori subgroup. Our method...
Computation of the worst-case covariance for linear systems with uncertain parameters
Uncertain parameters of linear systems linear systems branch and bound algorithm is calculated
2015/8/12
For a class of linear systems with unknown parameters that lie in intervals, we present a branch and bound algorithm for computing the worst-case covariance of the state.
On computing the worst-case peak gain of linear systems
SISO discrete-time LTI systems computation of `1-gain discrete-time systems with diagonal perturbations worst-case `1-gain.
2015/8/12
Based on the bounds in the paper by Boyd and Doyle (Comparison of peak and RMS gains for discrete-time systems, Systems and Control Letters, 9:1-6), we present simple upper and lower bounds for the el...
ON INCONSISTENT BAYES ESTIMATES IN THE DISCRETE CASE
Probability distribution integer mixture dirichlet
2015/7/14
Consider sampling from an unknown probability distribution on the
integers. With a tail-free prior, the posterior distribution is consistent. With
a mixture of a tail-free prior and a point mass, ...
BIOMIXING BY CHEMOTAXIS AND EFFICIENCY OF BIOLOGICAL REACTIONS:THE CRITICAL REACTION CASE
CHEMOTAXIS EFFICIENCY BIOLOGICAL REACTIONS CRITICAL REACTION CASE
2015/7/14
Many phenomena in biology involve both reactions and chemotaxis. These processes can clearly influence each other, and chemotaxis can play an important role in sustaining and speeding up the reaction....
Homogenization driven by a fractional Brownian motion:the shear layer case
Homogenization driven fractional Brownian motion shear layer case
2015/7/14
We consider a passive scalar in a periodic shear flow perturbed by an additive fractional noise with the Hurst exponent H ∈ (0, 1). We establish a diffusive homogenization limit for the tracer when th...
POWER LAWS FOR MONKEYS TYPINGS RANDOMLY: THE CASE OF UNEQUAL PROBABILITIES
TYPINGS RANDOMLY UNEQUAL PROBABILITIES
2015/7/6
The case where letters are hit with unequal probability has been the subject of recent confusion, with
some suggesting that in this case the rank-frequency distribution follows a lognormal distributi...
Twisted Weyl Group Multiple Dirichlet Series: The Stable Case
Stable Case Multiple Dirichlet Series
2015/7/6
Weyl group multiple Dirichlet series were associated with a root system Φ and a number
field F containing the n-th roots of unity by Brubaker, Bump, Chinta, Friedberg and Hoffstein [3] an...
The case of technology in senior secondary mathematics: Curriculum and assessment congruence
secondary mathematics Curriculum and assessment
2015/5/29
This paper outlines how curriculum and
assessment congruence considerations
have been addressed in the context
of the incorporation of computer
algebra system (CAS) technology into
Victorian...
The planar circular restricted three body problem in the lunar case
The planar circular restricted three body problem lunar case
2015/3/18
The course is a short introduction to some aspects of the simplest non-integrable three body problem, the study of which goes back to the seminal works of Hill, Poincar′e and Birkhoff. After Goursat (...
ON THE ABSENCE OF "SPLASH" SINGULARITIES IN THE CASE OF TWO-FLUID INTERFACES
SPLASH SINGULARITIES TWO-FLUID INTERFACES
2014/4/3
We show that "splash" singularities cannot develop in the case of locally smooth solutions of the two-uid interfaces in two dimensions. More precisely, we show that the scenario of formation of singul...
ANOMALY CANCELLATION AND MODULARITY II: THE E8 × E8 CASE
ANOMALY CANCELLATION MODULARITY II THE E8 × E8 CASE
2018/4/19
In this paper we show that both of the Green-Schwarz anomaly factorization formulafor the gauge group E8 × E8 and the Hoˇrava-Witten anomaly factorization formula for the gaugegroup E8 can be derived ...
Tunneling and Metastability of continuous time Markov chains II, the nonreversible case
Metastability Tunneling Markov processes
2012/5/25
We proposed in \cite{bl2} a new approach to prove the metastable behavior of reversible dynamics based on potential theory and local ergodicity. In this article we extend this theory to nonreversible ...