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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：First-order factors of linear Mahler operators
线性 Mahler operators 一阶因子
2023/4/27
We develop and compare two algorithms for computing first-order right-hand factors in the ring of linear Mahler operators l_r M^r+?+l_1 M+l_0 where l_0,…,l_r are polynomials in x and Mx=x^b M for some...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：erration split-plot designs via complementary sets when the whole plot factors are important
图因子 互补集 错误分割图设计
2023/5/15
In practice, fractional factorial split-plot (FFSP) designs are widely used when the levels of some factors are very difficult to change or control. The factors of an FFSP design are divided into two ...
CreditRisk Model with Dependent Risk Factors
CreditRisk + model conditional independence dependent risk factors Panjer’s recursion multivariate copulas
2016/1/26
The CreditRisk + model is widely used in industry for computing the loss of a credit port-folio. The standard CreditRisk + model assumes independence among a set of common risk factors, a simplified a...
In this paper, a group shift is an expansive action of Zd on a compact metrizable zero dimensional group by continuous automorphisms. All group shifts factor topologically onto equal-entropy Bernoulli...
Zd SHIFTS OF FINITE TYPE WITHOUT EQUAL ENTROPY FULL SHIFT FACTORS
Zd SHIFTS FINITE TYPE ENTROPY FULL SHIFT
2015/9/29
For d ≥ 2, we use results of Hochman and Meyerovitch to construct examples of Zd shifts of finite type of entropy log N, N ∈ N, which cannot factor topologically onto the Zd Bernoulli shift on N symbo...
MULTIDIMENSIONAL SOFIC SHIFTS WITHOUT SEPARATION AND THEIR FACTORS
MULTIDIMENSIONAL SOFIC SHIFTS WITHOUT SEPARATION THEIR FACTORS
2015/9/29
For d ≥ 2 we exhibit mixing Zd shifts of finite type and sofic shifts with large entropy but poorly separated subsystems (in the sofic examples, the only minimal subsystem is a single point). These ex...
Designing Response Surface Experiments for Factors with Symmetric Effects
Designing Response Surface Experiments Factors with Symmetric
2015/3/20
Motivating Problem: Experimentation related to the engineering design of commercial corn harvesting equipment.Investigation about how the efficiency of harvesting performance is influenced by six vari...
Generalized wordtype pattern for nonregular factorial designs with multiple groups of factors
wordtype pattern nonregular factorial designs multiple groups of factors
2015/3/20
For a regular 2(l1+l2)−k design D containing l1 Group I factors and l2 Group II factors, let Ai1,i2(D) be the number of words in the defining contrast subgroup containing i1 Group I factors and ...
Generalized word type pattern for nonregular factorial designs with multiple groups of factors
type pattern Generalized word
2015/3/18
Consideran(sr )sn factorialdesignD= [D0,DT]inst runs,involvingone
sr -levelfactor (r≥2),groupedbytheLrs-levelfactors,andns-level
factors.
Factor modeling for high-dimensional time series: Inference for the number of factors
Autocovariance matrices blessing of dimensionality eigenanalysis fast convergence rates multivariate time series
2012/6/19
This paper deals with the factor modeling for high-dimensional time series based on a dimension-reduction viewpoint. Under stationary settings, the inference is simple in the sense that both the numbe...
The Two-Component Camassa-Holm Equations CH(2,1) and CH(2,2): First-Order Integrating Factors and Conservation Laws
Two-Component Camassa-Holm Equations CH(2,1) CH(2,2) First-Order Integrating Factors Conservation Laws Exactly Solvable and Integrable Systems
2012/4/26
Recently, Holm and Ivanov, proposed and studied a class of multi-component generalisations of the Camassa-Holm equations [D D Holm and R I Ivanov, Multi-component generalizations of the CH equation: g...
Hyperbolicity of the complex of free factors
Hyperbolicity of the complex free factors Group Theory
2011/9/13
Abstract: We prove that the complex of free factors of a free group of finite rank is hyperbolic.
A class of II_1 factors with many non conjugate Cartan subalgebras
non conjugate Cartan subalgebras Operator Algebras Dynamical Systems Group Theory
2011/8/26
Abstract: We construct a class of II_1 factors that admit a non smooth family of Cartan subalgebras that are non conjugate by an automorphism. We also construct a II_1 factor that admits uncountably m...
Pointwise characteristic factors for the multidimensional return times theorem
Pointwise characteristic factors multidimensional return times theorem
2011/1/21
This paper is an update and extension of a result the authors first proved in 2003. The goal of this paper is to study factors which are known to be L2-characteristic for certain nonconventional avera...
Using exploratory factor analysis model (EFA) for determination the main factors of train's accidents in Egypt (APPLIED STUDY)
Train’s Accidents Multivariate analysis Factor Analysis
2010/9/26
Factor analysis (FA) is used to summarize the data covariance structure in a few dimensions of the data. FA attempts to identify underlying variables that explain the pattern of correlations within a ...