Communications of the
Korean Mathematical Society
CKMS
ISSN(Print) 1225-1763
ISSN(Online) 2234-3024
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2024-04-30
Some properties of critical point equations metrics on the statistical manifolds
Hajar Ghahremani-Gol, Mohammad Amin SedghiAbstract : The aim of this paper is to investigate some properties of the critical points equations on the statistical manifolds. We obtain some geometric equations on the statistical manifolds which admit critical point equations. We give a relation only between potential function and difference tensor for a CPE metric on the statistical manifolds to be Einstein.
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2024-04-30
Unsteady flow of Bingham fluid in a two dimensional elastic domain
Mosbah Kaddour, Farid Messelmi, Saf SalimAbstract : The main goal of this work is to study an initial boundary value problem relating to the unsteady flow of a rigid, viscoplastic, and incompressible Bingham fluid in an elastic bounded domain of $\mathbb{R}^{2}$. By using the approximation sequences of the Faedo-Galerkin method together with the regularization techniques, we obtain the results of the existence and uniqueness of local solutions.
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2024-04-30
Utilizing coupling strategy to generate a new simple 7d hyperchaotic system and its circuit application
Saad Fawzi Al-AzzawiAbstract : By utilizing coupling the strategy in the 5D Sprott B system, a new no equilibrium 7D hyperchaotic system is introduced. Despite the proposed system being simple with twelve-term, including solely two cross product nonlinearities, it displays extremely rich dynamical features such as hidden attractors and the dissipative and conservative nature. Besides, this system has largest Kaplan-Yorke dimension compared with to the work available in the literature. The dynamical properties are fully investigated via Matlab 2021 software from several aspects of phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, offset boosting and so on. Moreover, the corresponding circuit is done through Multisim 14.2 software and preform to verify the new 7D system. The numerical simulations wit carryout via both software are agreement which indicates the efficiency of the proposed system.
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2024-04-30
Chooser options on various underlying options
Wonjoong Kim, JINYOUNG LEEAbstract : We consider chooser options written on various underlying assets other than vanilla call and put options. Specifically, we deal with (i) the chooser option written on the power call and put options, and (ii) the chooser option written on the exchange options. We provide explicit formulas for the prices of these chooser options whose underlying assets are either power options or exchange options, rather than the vanilla call and put options.
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2024-04-30
A new criterion for moment infinitely divisible weighted shifts
Hong T. T. TrinhAbstract : In this paper we present the weighted shift operators having the property of moment infinite divisibility. We first review the monotone theory and conditional positive definiteness. Next, we study the infinite divisibility of sequences. A sequence of real numbers $\gamma$ is said to be infinitely divisible if for any $p>0$, the sequence $\gamma^p = \{ \gamma_n^p \}_{n=0}^{\infty}$ is positive definite. For sequences $\alpha = \{\alpha_n\}^{\infty}_{n=0}$ of positive real numbers, we consider the weighted shift operators $W_{\alpha}$. It is also known that $W_{\alpha}$ is moment infinitely divisible if and only if the sequences $\{\gamma_n\}_{n=0}^{\infty}$ and $\{\gamma_{n+1}\}_{n=0}^{\infty}$ of $W_{\alpha}$ are infinitely divisible. Here $\gamma$ is the moment sequence associated with $\alpha$. We use conditional positive definiteness to establish a new criterion for moment infinite divisibility of $W_{\alpha}$, which only requires infinite divisibility of the sequence $\{\gamma_n\}_{n=0}^{\infty}$. Finally, we consider some examples and properties of weighted shift operators having the property of $(k,0)$-CPD; that is, the moment matrix $M_{\gamma}(n,k)$ is CPD for any $n \ge 0$.
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Local-global principle and generalized local cohomology modules
Bui Thi Hong Cam, Nguyen Minh Tri, Do Ngoc Yen
Commun. Korean Math. Soc. 2023; 38(3): 649-661
https://doi.org/10.4134/CKMS.c220160 -
The $u$-$S$-weak global dimensions of commutative rings
Xiaolei Zhang
Commun. Korean Math. Soc. 2023; 38(1): 97-112
https://doi.org/10.4134/CKMS.c220016 -
A note on maximal hypersurfaces in a generalized Robertson-Walker spacetime
Henrique Fernandes de~Lima
Commun. Korean Math. Soc. 2022; 37(3): 893-904
https://doi.org/10.4134/CKMS.c210233 -
Liouville theorems for the multidimensional fractional Bessel operators
Vanesa Galli, Sandra Molina, Alejandro Quintero
Commun. Korean Math. Soc. 2022; 37(4): 1099-1129
https://doi.org/10.4134/CKMS.c210361
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Properties of functions with bounded rotation associated with lima\c{c}on class
Kanwal Jabeen, Afis Saliu
Commun. Korean Math. Soc. 2022; 37(4): 995-1007
https://doi.org/10.4134/CKMS.c210273 -
Generalized Fourier--Feynman transforms and convolutions for exponential type functions of generalized Brownian motion paths
Jae Gil Choi
Commun. Korean Math. Soc. 2023; 38(4): 1141-1151
https://doi.org/10.4134/CKMS.c230005 -
On the structure of a $k$-annihilating ideal hypergraph of commutative rings
Shaymaa S. Essa, Husam Q. Mohammad
Commun. Korean Math. Soc. 2023; 38(1): 55-67
https://doi.org/10.4134/CKMS.c210427 -
Conformal Ricci soliton on paracontact metric $(k,\mu)$-manifolds with Schouten-van Kampen connection
PARDIP MANDAL, MOHAMMAD HASAN SHAHID, SARVESH KUMAR YADAV
Commun. Korean Math. Soc. 2024; 39(1): 161-173
https://doi.org/10.4134/CKMS.c220099
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