Fast Estimation and Valid Statistical Inference for Mixed-Effect Location-Scale Models Using Variational Inference. [PDF]
Stat MedABSTRACT With the development of modern technology, richer and more intensive longitudinal data are available for researchers to study more complex model structures. The Mixed‐Effect Location‐Scale Model (MELS) is useful for modeling the variance components in such data.
Wu BP, Hedeker D.
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Restrictions on sets of conjugacy class sizes in arithmetic progressions [PDF]
International Journal of Group Theory, 2023 We continue the investigation, that began in [M. Bianchi, A. Gillio and P. P. Pálfy, A note on finite groups in which the conjugacy class sizes form an arithmetic progression, Ischia group theory 2010, World Sci. Publ., Hackensack, NJ (2012) 20--25.] and
Alan R. Camina, Rachel D. Camina
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Commuting conjugacy classes graph of the generalized dihedral and dicyclic groups [PDF]
ریاضی و جامعه, 2023 Suppose $G$ is a finite non-abelian group and $\Gamma(G)$ is a simple graph with the non-central conjugacy classes of $G$ as its vertex set. Two different non-central conjugacy classes $A$ and $B$ are assumed to be adjacent if and only if there are ...
Mohammadali Salahshour
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Commuting Conjugacy Class Graph of G when G / Z(G)~=D2n [PDF]
Mathematics Interdisciplinary Research, 2020 Suppose G is a finite non-abelian group and Γ(G) is a simple graph with the non-central conjugacy classes of G as its vertex set. Two different noncentral conjugacy classes C and B are assumed to be adjacent in Γ(G) if and only if there are elements a ...
Mohammad Ali Salahshour
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Rational Class Sizes and Their Implications for the Structure of Finite Groups [PDF]
Advances in Group Theory and Applications, 2022 This paper considers the implications of rational class sizes for the structure of finite groups. Ever since Itô introduced the notion of a conjugate type vector in 1953, the problem of unraveling the connections between the set of conjugacy class sizes ...
Hossein Shahrtash
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COMMON NEIGHBOURHOOD SPECTRUM AND ENERGY OF COMMUTING CONJUGACY CLASS GRAPH [PDF]
Journal of Algebraic Systems, 2023 In this paper, we compute the common neighbourhood (abbreviated as CN) spectrum and the common neighbourhood energy of commuting conjugacy class graph of several families of finite non-abelian groups.
Firdous Jannat, Rajat Nath
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From conjugacy classes in the Weyl group to semisimple conjugacy classes [PDF]
Pure and Applied Mathematics Quarterly, 2021 Suppose $G$ is a connected complex semisimple group and $W$ is its Weyl group. The lifting of an element of $W$ to $G$ is semisimple. This induces a well-defined map from the set of elliptic conjugacy classes of $W$ to the set of semisimple conjugacy classes of $G$. In this paper, we give a uniform algorithm to compute this map.
Adams, Jeffrey, He, Xuhua, Nie, Sian
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Cordial elements and dimensions of affine Deligne–Lusztig varieties
Forum of Mathematics, Pi, 2021 The affine Deligne–Lusztig variety $X_w(b)$ in the affine flag variety of a reductive group ${\mathbf G}$ depends on two parameters: the $\sigma $ -conjugacy class $[b]$ and the element w in the Iwahori–Weyl group $\tilde ...
Xuhua He
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Classification of the Morse – Smale flows on surfaces with a finite moduli of stability number in sense of topological conjugacy [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2021 Purpose. The purpose of this study is to consider the class of Morse – Smale flows on surfaces, to characterize its subclass consisting of flows with a finite number of moduli of stability, and to obtain a topological classification of such flows ...
Kruglov, Vladislav Evgenievich +1 more
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Conjugacy classes contained in normal subgroups: an overview [PDF]
International Journal of Group Theory, 2018 We survey known results concerning how the conjugacy classes contained in a normal subgroup and their sizes exert an influence on the normal structure of a finite group.
Antonio Beltran +2 more
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