지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
The GCF$_\epsilon$ expansion is a new class of continued fractions induced by the transformation $T_{\epsilon}:(0,1]\to (0,1]$: $$ T_{\epsilon}(x)=\frac{-1+(k+1)x}{1+k-k\epsilon x} \ {\text{for}}\ x\in \big(1/(k+1), 1/k\big]. $$ \noindent Under the algorithm $T_{\epsilon}$, every $x\in (0,1]$ corresponds to an increasing digits sequences $\{k_n,{n\ge1}\}$. Their basic properties, including the ergodic properties, law of large number and central limit theorem have been discussed in \cite{Sc}, \cite{SZ} and \cite{Zh}. In this paper, we study the large deviation for the GCF$_\epsilon$ expansion and show that: $\big\{\frac{1}{n}\log k_n, n\ge1\big\}$ satisfies the different large deviation principles when the parameter $\epsilon$ changes in $[-1,1]$, which generalizes a result of L.~J.~Zhu \cite{Zhu} who considered a case when $\epsilon(k) \equiv 0$ (i.e., Engel series).
목차
등록된 정보가 없습니다.
참고문헌 (9)
참고문헌 신청
A. Dembo / 1998 / Large Deviations Techniquesand Applications / Springer-Verlag
F. Schweiger / 2003 / Continued fraction with increasing digits / Oster Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II 212 : 69 ~ 77
L. J. Zhu / 2014 / On the large deviations for Engel’s, Sylvester’s series and Cantor’s products / Electron. Commun. Probab 19 (2) : 1 ~ 9
L. L. Fang / 2015 / Large and moderate deviations for modified Engel continued fractions / Statist. Probab. Lett 98 : 98 ~ 106
L. M. Shen / 2010 / Some metric properties on the GCF fraction expansion / J. Number Theory 130 (1) : 1 ~ 9
F. Schweiger / 2003 / Continued fraction with increasing digits / Oster Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II 212 : 69 ~ 77
L. J. Zhu / 2014 / On the large deviations for Engel’s, Sylvester’s series and Cantor’s products / Electron. Commun. Probab 19 (2) : 1 ~ 9
L. L. Fang / 2015 / Large and moderate deviations for modified Engel continued fractions / Statist. Probab. Lett 98 : 98 ~ 106
L. M. Shen / 2010 / Some metric properties on the GCF fraction expansion / J. Number Theory 130 (1) : 1 ~ 9
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Broadband epsilon-near-zero and epsilon-near-pole 1D nanograting metamaterials in near-infrared
한국진공학회 학술발표회초록집
2020 .08
-
AN INTRODUCTION TO 𝜖<sub>0</sub>-DENSITY AND 𝜖<sub>0</sub>-DENSE ACE
충청수학회지
2019 .01
-
On the generalized Banach spaces
한국수학논문집
2019 .01
-
EXPONENTIAL BEHAVIOR FOR SOLUTIONS OF NONLINEAR HYPERBOLIC SYSTEM WITH EPSILON PERTURBATION
East Asian Mathematical Journal
2023 .01
-
HOW THE PARAMETER ε INFLUENCE THE GROWTH RATES OF THE PARTIAL QUOTIENTS IN GCFε EXPANSIONS
대한수학회지
2015 .01
-
Epsilon Iron Oxide Nanopowder for the Application of Electromagnetic Wave Absorption
한국자기학회 학술연구발표회 논문개요집
2019 .11
-
On the generalized boundary and thickness
한국수학논문집
2020 .01
-
Fabrication of Epsilon Hard Ferrites for Electromagnetic Wave Absorption Application
한국자기학회 학술연구발표회 논문개요집
2020 .11
-
Broadband perfect absorption in Epsilon-Near-Zero ITO thin films at the near-infrared
한국진공학회 학술발표회초록집
2016 .08
-
The sequential attainability and attainable ace
한국수학논문집
2018 .01
-
ϵ-Compatible Maps and Common Fixed Point Theorems
Kyungpook Mathematical Journal
2016 .01
-
Epsilon engineering of metallic nano-hole arrays for broadband high optical transmission
한국진공학회 학술발표회초록집
2021 .02
-
녹색기후기금(GCF) 활용방안 및 제안서 작성 가이드라인
수시간행물
2018 .11
-
Effect of sintering temperature on the formation of epsilon Fe₂O₃ nanoparticles encapsulated by SiO₂
한국자기학회 학술연구발표회 논문개요집
2020 .11
-
Effect of sintering temperature on the formation of epsilon Fe₂O₃ nanoparticles encapsulated by SiO₂
한국자기학회 학술연구발표회 논문개요집
2022 .05
-
𝜂-RICCI SOLITONS ON 𝜖 - LP-SASAKIAN MANIFOLDS WITH A QUARTER-SYMMETRIC METRIC CONNECTION
호남수학학술지
2019 .01
-
Delivering co-benefits for air quality as part of climate projects in developing countries
한국대기환경학회 학술대회논문집
2021 .10
-
UNFCCC 하 CTCN/TA 및 GCF 사업의 스케일업 추진현황과 시사점
NIGT Focus
2023 .10
-
Climate Change and Indigenous Peoples in Latin America: Focus on Forest Management Projects of the Green Climate Fund (GCF)
한국대기환경학회 학술대회논문집
2020 .10
-
UNFCCC 下 기술-재정 메커니즘 활용 가이드라인 : CTCN TA 사업 및 GCF 사업을 중심으로
수시간행물
2016 .11
이 논문의 저자 정보
최근 본 자료
댓글(0)
0