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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Combinatorial statistics: a common theme and a few examples
组合统计 霰弹枪组装 随机图匹配
2023/4/13
In this talk, I will overview the general flavor for the topic of “combinatorial statistics”, and I will describe some recent progress on shotgun assembling problems as well as random graph matching p...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On constructions of Lax representations: some examples
松弛表示 构造 非线性数学物理方程 KdV方程
2023/4/24
著名数学家Peter Lax 在1968年将重要的非线性数学物理方程---KdV方程表示为一个算子方程， 即给出了KdV方程的Lax表示或Lax对。Lax对在孤立子理论的发展中扮演者重要角色，可以看成是研究可积系统的出发点。但如何构造一个给定非线性系统的Lax表示却是非常困难的问题。本报告在概述Lax表示历史的基础上，以Boris Kupershmidt提出的两个非线性发展型方程为具体例子，介绍L...
Seismic transmission tomography: determination of the elastic properties of building structures (some examples)
applied geophysics cultural heritage inversion seismic tomography
2015/9/29
This paper is a general review on seismic transmission tomography considering data acquisition and processing. Some questions on linear and non linear inversions are tackled, and advice given on the c...
SYMBOLIC EXTENSION ENTROPY:Cr EXAMPLES,PRODUCTS AND FLOWS
SYMBOLIC EXTENSION ENTROPY Cr EXAMPLES PRODUCTS FLOWS
2015/9/29
Adapting techniques of Misiurewicz, for 1 ≤ r < ∞ we give an explicit construction of Cr maps with positiveresidual entropy. We also establish the behavior of symbolic extension entropy with respect t...
An affine manifold is a manifold with a distinguished
system of affine coordinates, namely, an open covering by
charts which map homeomorphically onto open sets in an
affine space E such that on ov...
Examples of the Atlas of Lie Groups and Representations
the Atlas Lie Groups Representations
2015/9/28
The Atlas of Lie Groups and Representations is a project in representation theory of real reductive groups. Themain goal of the atlas computer software, currently under development, is to compute the ...
NEW EXAMPLES OF S-UNIMODAL MAPS WITH A SIGMA-FINITE ABSOLUTELY CONTINUOUS INVARIANT MEASURE
S-UNIMODAL MAPS SIGMA-FINITE ABSOLUTELY CONTINUOUS INVARIANT MEASURE
2015/9/25
We combine the technique of inducing with a method of Johnson boxes and construct new examples of S-unimodal maps ϕ which do not have a finite absolutely continuous invariant measure, but do have...
NEW EXAMPLES OF TOPOLOGICALLY EQUIVALENT S-UNIMODAL MAPS WITH DIFFERENT METRIC PROPERTIES
TOPOLOGICALLY EQUIVALENT S-UNIMODAL MAPS DIFFERENT METRIC PROPERTIES
2015/9/25
We construct examples of topologically conjugate unimodal maps, such that both of them have an absolutely continuous invariant measure, but for one of them that measure is finite, and for another one ...
Improved techniques in data analysis and interpretation of potential fields:examples of application in volcanic and seismically active areas
gravimetry potential fields geomagnetism signal enhancement techniques
2015/9/25
Geopotential data may be interpreted by many different techniques, depending on the nature of the mathematical equations correlating specific unknown ground parameters to the measured data set. The in...
Anomalous crustal movements with low seismic efficiency-Campi Flegrei,Italy and some examples in Japan
crustal movements low seismic efficiency
2015/9/25
Campi Flegrei is a unique volcanic region located near Naples, Italy. Anomalous crustal movements at Pozzuoli in Campi Flegrei have been documented since the Roman period. The movements were gradual a...
Re-evaluation of early instrumental earthquake locations: methodology and examples
earthquake location macroseismic locations
2015/9/14
The difficulties of locating earthquakes in the early instrumental period are not always fully appreciated. The networks were sparse, and the instruments themselves were of low gain, often had inappro...
The CERESIS earthquake catalogue and database of the Andean Region: background, characteristics and examples of use
historical seismicity CERESIS database South America intensity data points earthquakesource parameters
2015/9/14
The history of earthquakes in South America starts with the coming of the Spanish and Portuguese 玞onquistadores?at the beginning of the 16th century. Their chronicles, and those of local historians, a...
COMPUTING HOPF BIFURCATIONS II: THREE EXAMPLES FROM NEUROPHYSIOLOGY
Hopf bifurcation resultant bialternate product neuron model
2015/8/25
In a previous paper [11] we presented algorithms for detecting Hopf bifurcations in
two-parameter families of vector elds based on classical algebraic constructions. In addition to their
utility as...
The LASSO risk: asymptotic results and real world examples
Coefficient vector linear observation construct sparse the lasso matrix sequence
2015/8/21
We consider the problem of learning a coefficient vector x0 ∈ RN from noisy linear observation y = Ax0 + w ∈ Rn. In many contexts (ranging from model
selection to image processing) it is desirable to...
In Dhar’s model of abelian distributed processors, finite automata occupy the vertices of a graph and communicate via the edges. A local commutativity condition ensures that the final output does not ...