Search Results 1-20 of 42

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  • M4 IS REGULAR-CLOSED

    HIMEKI YUTARO , Ishii Yutaka

    … Let Mn be the locus of contraction ratio s for which the corresponding self-similar set is connected. …

    Ergodic Theory and Dynamical Systems 40(1), 213-220, 2020-01-01

    IR 

  • Some properties of energy measures on Sierpinski gasket type fractals

    Hino Masanori

    We confirm, in a more general framework, a part of the conjecture posed by R. Bell, C.-W. Ho, and R. S. Strichartz [Energy measures of harmonic functions on the Sierpi'nski gasket, Indiana Univ. Math. …

    Journal of Fractal Geometry 3(3), 245-263, 2016-09-14

    IR 

  • Application of Fractal Dimension Estimation Algorithms to Evaluation of Human Skin State

    ARAGHY Ali Parchamy , TAKEZAWA Megumi , SATO Mie , KASUGA Masao

    … A series of skin images is taken at magnifications corresponding to the magnification factor of a fractal set (skin), and the number of objects (skin cells) in each image are considered to be the number of self-similar pieces of the fractal set. …

    The Journal of The Institute of Image Information and Television Engineers 64(7), 1016-1019, 2010-07-01

    J-STAGE  References (12)

  • Redundancy analysis of the universal source code with a singular prior  [in Japanese]

    HASHIMOTO Tatsuya , KAWABATA Tsutomu

    連続空間上のθによって確率がパラメトライズされた情報源のクラスついてユニバーサル情報源符号化の問題を考える.ある正則な条件下で符号長と負の最大尤度との差はデータ長nの対数の2分の1に比例する.その比例係数はパラメータ空間の次元であることが広く議論されている。Takahashiは特異な事前分布を仮定した場合に,その比例係数を各スカラー成分のHausdorff次元の和によって上界した.本稿ではTaka …

    IEICE technical report 109(445), 349-352, 2010-02-25

    References (4)

  • Redundancy analysis of the universal source code with a singular prior  [in Japanese]

    HASHIMOTO Tatsuya , KAWABATA Tsutomu

    連続空間上のθによって確率がパラメトライズされた情報源のクラスついてユニバーサル情報源符号化の問題を考える.ある正則な条件下で符号長と負の最大尤度との差はデータ長nの対数の2分の1に比例する.その比例係数はパラメータ空間の次元であることが広く議論されている.Takahashiは特異な事前分布を仮定した場合に,その比例係数を各スカラー成分のHausdorff次元の和によって上界した.本稿ではTaka …

    IEICE technical report 109(444), 349-352, 2010-02-25

    References (4)

  • Redundancy analysis of the universal source code with a singular prior  [in Japanese]

    HASHIMOTO Tatsuya , KAWABATA Tsutomu

    連続空間上のθによって確率がパラメトライズされた情報源のクラスついてユニバーサル情報源符号化の問題を考える.ある正則な条件下で符号長と負の最大尤度との差はデータ長nの対数の2分の1に比例する.その比例係数はパラメータ空間の次元であることが広く議論されている.Takahashiは特異な事前分布を仮定した場合に,その比例係数を各スカラー成分のHausdorff次元の和によって上界した.本稿ではTaka …

    IEICE technical report 109(446), 349-352, 2010-02-25

    References (4)

  • Spectral asymptotics for Laplacians on self-similar sets

    Kajino Naotaka

    … Given a self-similar Dirichlet form on a self-similar set, we first give an estimate on the asymptotic order of the associated eigenvalue counting function in terms of a 'geometric counting function' defined through a family of coverings of the self-similar set naturally associated with the Dirichlet space. …

    Journal of Functional Analysis 258(4), 1310-1360, 2010-02-15

    IR 

  • APLICATION OF FRACTAL DIMENSION ESTIMATION ALGORITMS TO EVALUATING HUMAN SKIN STATE

    ARAGHY Ali Parchamy , SATO Mie , KASUGA Masao

    … We take multiple pictures frequently from skin with different camera lens magnification as a magnification factor of fractal set, and counting the number of objects (cells) in each picture as a number of self similar pieces of fractal set. …

    IEICE technical report 108(373), 189-192, 2009-01-05

    References (4)

  • 4-6 The evaluation of human skin state with calculate the fractal dimension of skin using a camera with lenses of different magnification

    PARCHAMY ARAGHY Ali , SATO Mie , KASUGA Masao

    … We take a series of photographs of the skin using lenses of different magnification as the magnification factor of a fractal set (skin), and count the number of objects (skin cells) in each photograph as the number of self-similar pieces of fractal set. …

    PROCEEDINGS OF THE ITE ANNUAL CONVENTION 2009(0), _4-6-1_-_4-6-2_, 2009

    J-STAGE 

  • Analysis of Electromagnetic Wave Propagation in One-dimensional Fractal Media  [in Japanese]

    SONODA Jun , KAINO Keimei

    近年,フラクタル構造を利用したマルチバンドアンテナや,フラクタル表面の電磁波散乱解析,フラクタル媒質中の電磁波の閉じ込め等,自己相似性を持つフラクタル構造のアンテナ・伝搬への応用に関する研究が盛んに行われている.特に,フラクタル構造中の電磁波の伝搬解析は,新しい電波吸収体への応用等が考えられ,その解析は重要であり,以前から1次元構造の解析がいくつか行われている.しかしながら,1次元カントール媒質の …

    IEICE technical report 107(97), 29-34, 2007-06-21

    References (13) Cited by (1)

  • REPRESENTATIONS OF CUNTZ ALGEBRAS ON FRACTAL SETS

    MORI Makoto , SUZUKI Osamu , WATATANI Yasuo

    … We consider representations of Cuntz algebras on self-similar fractal sets for proper/improper systems of contractions. … Natural representations, called Hausdorff representations, are associated with self-similar sets and Hausdorff measures in the case of similitudes in $ R^n $. …

    Kyushu Journal of Mathematics 61(2), 443-456, 2007

    IR  J-STAGE 

  • Breakdown of self-similar evolution in homogeneous perfect fluid collapse

    Mitsuda Eiji , Tomimatsu Akira

    … The stability analysis of self-similar solutions is an important approach to confirm whether they act as an attractor in general non-self-similar gravitational collapse. …

    PHYSICAL REVIEW D 74(10), 104019-104019, 2006-11

    IR 

  • Tilings from non-Pisot unimodular matrices

    Furukado Maki

    … Using the unimodular Pisot substitution of the free monoid on $d$ letters, the existence of graph-directed self-similarsets$\left\{ X_{i} \right\}_{i=1,2,\ldots,d}$satisfying the set equation (\ref{eq:pisot})with the positive measure on the $A$-invariant contracting plane $P$ is well-known,where $A$ is the incidence matrix of the substitution.Moreover, under some conditions, the set$\left\{ X_{i} \right\}_{i=1,2,\ldots,d}$is the prototile of the quasi-periodictiling of $P$ (see Figure \ref{fig:Rauzy}). …

    Hiroshima mathematical journal 36(2), 289-329, 2006-07

  • On the Aggregation of Self-Similar Processes

    MAZZINI Gianluca , ROVATTI Riccardo , SETTI Gianluca

    … Then we give a set of axioms defining a general aggregation operator and, based on some advanced results of functional analysis, we investigate how the decay of correlation of the original processes affect the decay of correlation (and thus the self-similar features) of the aggregated process. …

    IEICE transactions on fundamentals of electronics, communications and computer sciences 88(10), 2656-2663, 2005-10-01

    References (18)

  • R&D Project Report Traffic analysis and network bandwidth provisioning tools for academic information networks

    ABE S. , Hasegawa Toru , Asano Shoichiro

    学術情報ネットワーク(SINET)のためのトラヒック解析と帯域設計ツールについて述べ,本ツールのソフトウェア構成と機能について述べた。帯域設計並びに性能評価のため,Fractional BrownianMotion(FBM)近似によるバッファキュー長テール確率近似とMMPP/G/1 による平均待ち時間を近似評価する機能を備えている。これら近似を実測定したトラヒックを用いシミュレーション結果と比較し …

    Progress in informatics (1), 83-91, 2005-03

    Cited by (2)

  • A TECHNIQUE SETTING PROBABILITY OF BURIED RUPTURE EARTHQUAKE FOR PROBABLISTIC EARTHQUAKE HAZARD ESTIMATION

    KAGAWA Takao , DAN Kazuo , OHTSUKA Yasuhiro , MOTOHASHI Shohei

    地表の情報からは震源断層を事前に特定できない潜在断層地震に着目し, その地震動を評価するために必要となる, 特定地震規模で潜在断層として存在できる確率を合理的にモデル化する手法を提案した. 具体的には, 潜在断層に関する地震規模の相似則 (断層面積, すべり量) に基づいて断層破壊モデルを設定し, それによる地表変形量を評価することにより, 潜在断層として存在できるアスペリティの上限深さを地震規模 …

    Proceedings of the JSCE Earthquake Engineering Symposium 28(0), 47-47, 2005

    J-STAGE 

  • MULTIVALUED WEAKLY PICARD OPERATORS AND APPLICATIONS : Dedicated to the memory of Shouro Kasahara

    PETRUSEL ADRIAN

    Scientiae Mathematicae japonicae 59(1), 169-202, 2004-01-01

    References (179)

  • On Julia sets of postcritically finite branched coverings Part I-coding of Julia sets

    KAMEYAMA Atsushi

    We define Julia sets for (topological) expanding postcritically finite branched coverings on S<SUP>2</SUP>, and show the existence and the uniqueness of Julia sets. Our main aim is the inv …

    Journal of the Mathematical Society of Japan 55(2), 439-454, 2003-04-01

    J-STAGE  References (13)

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