• 제목/요약/키워드: coboundary

검색결과 7건 처리시간 0.015초

THE GIBBS MEASURE AND COBOUNDARY CONDITION

  • Kim, Young-One;Lee, Jung-Seob
    • 대한수학회지
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    • 제35권2호
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    • pp.433-447
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    • 1998
  • We investigate coboundary conditions for two functions defined on a mixing subshift of finite type to have the same Gibbs measure. Also we find conditions for a function to be a coboundary.

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LIE BIALGEBRAS ARISING FROM POISSON BIALGEBRAS

  • Oh, Sei-Qwon;Cho, Eun-Hee
    • 대한수학회지
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    • 제47권4호
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    • pp.705-718
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    • 2010
  • It gives a method to obtain a natural Lie bialgebra from a Poisson bialgebra by an algebraic point of view. Let g be a coboundary Lie bialgebra associated to a Poission Lie group G. As an application, we obtain a Lie bialgebra from a sub-Poisson bialgebra of the restricted dual of the universal enveloping algebra U(g).

ON DISTRIBUTIONS IN GENERALIZED CONTINUED FRACTIONS

  • AHN, YOUNG-HO
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제6권2호
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    • pp.1-8
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    • 2002
  • Let $T_{\phi}$ be a generalized Gauss transformation and $[a_1,\;a_2,\;{\cdots}]_{T_{\phi}}$ be a symbolic representation of $x{\in}[0,\;1)$ induced by $T_{\phi}$, i.e., generalized continued fraction expansion induced by $T_{\phi}$. It is shown that the distribution of relative frequency of [$k_1,\;{\cdots},\;k_n$] in $[a_1,\;a_2,\;{\cdots}]_{T_p}$ satisfies Central Limit Theorem where $k_i{\in}{\mathbb{N}}$ for $1{\leq}i{\leq}n$.

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Iterated Loop Space의 $a_p$-module Structure

  • 김상만
    • 한국수학교육학회지시리즈A:수학교육
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    • 제22권2호
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    • pp.5-12
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    • 1984
  • mod pin Steenrod algebra $A_{p}$ 는 steenrod reduced powers p$^n$ 및 Bockstein coboundary operation $\beta$에서 algebra로서 생성되었다. 그들 사이의 관계도 알려져 있다. 이 논문에서는 iterated loop space의 $A_{p}$ -module structure를 결정하는 한 명제인 (equation omitted)를 증명했다.

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MOD M NORMALITY OF ${\beta}-EXPANSIONS$

  • Ahn, Young-Ho
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제9권2호
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    • pp.91-97
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    • 2005
  • If ${\beta}\;>\;1$, then every non-negative number x has a ${\beta}-expansion$, i.e., $$x\;=\;{\epsilon}_0(x)\;+\;{\frac{\epsilon_1(x)}{\beta}}\;+\;{\frac{\epsilon_2(x)}{\beta}}\;+\;{\cdots}$$ where ${\epsilon}_0(x)\;=\;[x],\;{\epsilon}_1(x)\;=\;[\beta(x)],\;{\epsilon}_2(x)\;=\;[\beta(({\beta}x))]$, and so on ([x] denotes the integral part and (x) the fractional part of the real number x). Let T be a transformation on [0,1) defined by $x\;{\rightarrow}\;({\beta}x)$. It is well known that the relative frequency of $k\;{\in}\;\{0,\;1,\;{\cdots},\;[\beta]\}$ in ${\beta}-expansion$ of x is described by the T-invariant absolutely continuous measure ${\mu}_{\beta}$. In this paper, we show the mod M normality of the sequence $\{{\in}_n(x)\}$.

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3-HOM-LIE SUPERBIALGEBRAS AND 3-HOM-LIE CLASSICAL YANG-BAXTER EQUATIONS

  • Issam Bartouli;Imed Basdouri;Gaith Chaabane;Mohamed Fadous;Jean Lerbet
    • 대한수학회논문집
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    • 제39권1호
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    • pp.11-30
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    • 2024
  • 3-Lie algebras are in close relationships with many fields. In this paper we are concerned with the study of 3-Hom-Lie super algebras, the concepts of 3-Hom-Lie coalgebras and how they make a 3-Hom-Lie superbialgebras, we study the structures of such categories of algebras and the relationships between each others. We study a super twisted 3-ary version of the Yang-Baxter equation, called the super 3-Lie classical Hom-Yang-Baxter equation (3-Lie CHYBE), which is a general form of 3-Lie classical Yang-Baxter equation and prove that the superbialgebras induced by the solutions of the super 3-Lie CHYBE induce the coboundary local cocycle 3-Hom-Lie superbialgebras.