A Fluctuation Theory of Local Fractal Dimensions
スポンサーリンク
概要
- 論文の詳細を見る
An order-β fractal dimension D(β, l) is introduced as D(β, l)=(1/β)ln<exp[βd_k(l)]>_<cell> by dividing a strange object into a number of cells. Where l is the cell size, d_k(l) is the fractal dimension of the k-th cell and <…>_<cell> is the cell average. Fluctuations of local flactal dimension can be characterized by D(β, l) and its thermodynamic quantities.
- 理論物理学刊行会の論文
- 1988-06-25
著者
-
Fujisaka Hirokazu
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
-
Inoue Masayoshi
Department Of Agriculture Kyoto Prefectural University
関連論文
- Expression of CUB domain containing protein (CDCP1) is correlated with prognosis and survival of patients with adenocarcinoma of lung
- Effect of APF Solution on The Surface Characteristics of Dentin
- Study on Irradiation of Wavelength-modified CO_2 Laser for Tissue Engnieering : Cutting Efficiency of Human Dentin
- Effects of Surface Wetness of Etched Dentin on Bonding Durability of a Total-etch Adhesive System : Comparison of Conventional and Dumbbell-shaped Specimens
- Microleakage of three self-etching primer adhesive systems
- Bond strength of composite resin to dentin irradiated with Er : YAG laser
- Bond strength of two adhesive systems with self-etching primer
- Bilateral lung transplantation with closure of ventricular septal defect in a patient with Eisenmenger syndrome
- Immunological function of thymoma and pathogenesis of paraneoplastic myasthenia gravis
- Non-Stationary Anomalous Diffusion Produced by a Generalized Shift Map (General)
- Pathological Anomalous Diffusion Generated by a Generalized Shift Map
- Clinical evaluation of the ability of a newly developed handpiece type LED light to polymerize composite resin restorations
- Discrepancies in evaluating mesio-occlusal metal inlay cavity preparations
- Construction and distribution of web based three-dimensional computer graphics teaching materials for dentistry
- Measurement of precise finger manipulations on a high-speed cutting simulator
- Phenomenological Determination of Scaling Exponents in Two-Dimensional Decaying Turbulence : Condensed Matter and Statistical Physics
- Intermittency Caused by Chaotic Modulation. I : Analysis with a Multiplicative Noise Model : General and Mathematical Physics
- Amplitude Equation of Higher-Dimensional Nikolaevskii Turbulence
- Modeling Chaotic Evolution with Nonlinear Langevin Dynamics
- Asymptotic Behavior of the q-th Order Intermittency Exponent in Fully Developed Turbulence : Classical Phenomenology and Applications
- Dynamical Correlations for the Kuramoto-Sivashinsky Equation(Condensed Matter and Statistical Physics)
- Determination of Chaotic Dynamical Correlations in Terms of Unstable Periodic Orbits(Condensed Matter and Statistical Physics)
- Dynamical Behavior of a Chaos Neural Network of an Associative Schema Model
- Nearly Synchronized State and a Constant of Motion in a Coupled Chaotic Map : Condensed Matter and Statistical Physics
- Analysis of Time Sequences of Explosive Volcanic Eruptions of Sakurajima : Geophysics, Astronomy and Astrophysics
- Correlation Dimensions of Human-Generated Random Numbers
- Clinical research on treatment of vertically fractured posterior teeth by intentional replantation using dentin bonding and composite resin
- Self-Organization in a Spin Model of Chaos Neural Network
- Self-Similarity and Energy-Dissipation Rate Fluctuations in Turbulence
- Clinical and pathological aspects of thymic epithelial tumors
- Cardiopulmonary co-morbidity : a critical negative prognostic predictor for pulmonary resection following preoperative chemotherapy and/or radiation therapy in lung cancer patients
- Circulating tumor cells in peripheral blood caused by surgical manipulation of non-small-cell lung cancer : pilot study using an immunocytology method
- Highly Complicated Basins of Periodic Attractors in Coupled Chaotic Maps
- Self-Similarity and Energy-Dissipation Rate Fluctuations in Turbulence
- Fluctuation Spectrum for a New Type of Intermittency in a Coupled Electronic Circuit
- Back Propagation Learning Using a Super Stable Motion
- Transverse Front Instability in Bistable Systems with Long-Range Interactions(Condensed Matter and Statistical Physics)
- Derivation of Phase Dynamics in Non-Locally Distributed Systems with Periodic Structures in Either Space or Time(Condensed Matter and Statistical Physics)
- Pattern Formation in Swift-Hohenberg Equation under an Oscillating Field(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- PATTERN FORMATIONS IN REACTION-DIFFUSION SYSTEM(Session IV : Structures & Patterns, The 1st Tohwa University International Meeting on Statistical Physics Theories, Experiments and Computer Simulations)
- Stochastic Model of Chaotic Phase Synchronization. II(Condensed Matter and Statistical Physics)
- Stochastic Model of Chaotic Phase Synchronization. I(Condensed Matter and Statistical Physics)
- Castleman's disease arising from an intrapulmonary lymph node
- Video-Assisted Thoracoscopic Bullectomy for Spontaneous Pneumothorax in a Swyer-James Syndrome Patient
- Steroid Therapy without Primary Dose Escalation for Postthymectomy Crisis in 2 Thymomatous Myasthenia Gravis Patients
- Phase Diffusion in Chaotic Oscillators System(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- Nodular pulmonary amyloidosis
- Nonlinear Effect on the First Passage Time Distribution
- Time Dependence of the Internal Friction in Alkali Halide Single Crystals
- Statistical Characterization of a Set of Random Hamiltonians : Order-q Free Energy and Fluctuation Spectrum
- On-Off Intermittency Associated with the Breakdown of One-Dimensional Motion
- Mapping Model of Chaotic Phase Synchronization(Condensed Matter and Statistical Physics)
- Scaling Properties of Characteristic Exponents in a Coupled-Chaos System
- Self-Similarity Dynamics of On-Off Intermittency
- Fluctuation Spectrum Theory of Ising Spin Sequences : A New Approach to Ising Spin Patterns : General and Mathematical Physics
- Synchronized States in Asymmetric Coupled Map Systems : Condensed Matter and Statistical Physics
- Characterization of Various Statistics of Diffusive Motion
- TURING INSTABILITY IN THE OREGONATOR MODEL(Session IV : Structures & Patterns, The 1st Tohwa University International Meeting on Statistical Physics Theories, Experiments and Computer Simulations)
- Fluctuation Spectrum and Multicorrelation--Application to low Dimensional Dynamical Systems (統計物理学の展開と応用--多様性の中の類似性(研究会報告))
- ORDERING PROCESS AND BLOCH WALL DYNAMICS IN NEARLY 1D ANISOTROPIC SPIN SYSTEM(Session IV : Structures & Patterns, The 1st Tohwa University International Meeting on Statistical Physics Theories, Experiments and Computer Simulations)
- Noisy Sine-Circle Map as a Model of Chaotic Phase Synchronization(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- Wandering Behavior of the Chaotic Itinerancy in an Oscillator Neural Network Model(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- A New Expansion of Dynamical Correlations in Stochastic Processes and Chaotic Dynamics(Condensed Matter and Statistical Physics)
- Magnetic Domain Wall Dynamics Associated with the Dynamic Phase Transition(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- Intermittency Caused by Chaotic Modulation. II : Lyapunov Exponent, Fractal Structure and Power Spectrum : General of Theoretical Physics
- Dynamic Scaling Law of Order-q Time Correlation Function : General and Mathematical Physics
- Continued Fraction Expansion of Fluctuation Spectrum and Generalized Time Correlation
- "Thermodynamics", Temporal Correlations and Scaling Laws : Complex Dynamics in Nonlinear Systems
- Analytic Properties of Characteristic Exponents for Chaotic Dynamical Systems : General and Mathematical Physics
- Characterization of Statistically Homogeneous Fluctuations : Fluctuation Spectrum and Spatial Correlation : Condensed Matter and Statistical Physics
- Theory of Diffusion and Intermittency in Chaotic Systems.II : Physical Picture for Non-Perturbative Non-Diffusive Motion : Condensed Matter and Statistical Physics
- On-off Intermittency in a Four-Dimensional Poincare Map
- Fluctuation-Spectrum Approach to Anomalous Enhancement of Diffusive Motion in Chaotic Dynamics : General and Mathematical Physics
- New Asymptotic Law Governing Overall Temporal Correlations in Chaotic Systems : Ensemble Homogenization and Order-q Power Spectrum : General and Mathematical Physics
- Theory of Diffusion and Intermittency in Chaotic Systems : Condensed Matter and Statistical Physics
- A Coupled Oscillatory-Reaction System Exhibiting Bifurcation Scheme Leading to a Chaos
- Fluctuation Renormalization in Nonlinear Dynamics
- Statistical Dynamics of Chaotic Flows
- A New Expansion of the Master Equation
- Intermittency Associated with the Breakdown of the Chaos Symmetry
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
- Theoretical Study of a Chemical Turbulence
- A Maximum Principle for Determining the Intermittency Exponent μ of Fully Developed Steady Turbulence
- Theory of Diffusion and Intermittency in Chaotic system. III : New Approach to Temporal Correlations
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. IV : Instability of Synchronized Chaos and New Intermittency : Condensed Matter and Statistical Physics
- Intermittency Caused By Chaotic Modulation. III : Self-Similarity and Higher Order Correlation Functions : General and Mathematical Physics
- Scaling Structures of Free-Energy Fluctuations in a One-Dimensional Dilute Ising Model : General and Mathematical Physics
- Breakdown of Chaos Symmetry and Intermittency in Band-Splitting Phenomena : General and Mathematical Physics
- Scaling Behaviors of Characteristic Exponents near Chaotic Transition Points : Condensed Matter and Statistical Physics
- On the β-Model of Intermittent Fully-Developed Turbulence
- Reduction of Variables and Processes in Macrodynamics
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. II : The Mapping Approach
- Possibility of Soft-Mode Turbulence in Reaction-Diffusion Systems
- New Approach to Multiplicative Stochastic Processes. II : Infinite Number of Time Correlations : Condensed Matter and Statistical Physics
- A Fluctuation Theory of Local Fractal Dimensions
- A New Intermittency in Coupled Dynamical Systems
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. III : Mapping Model for Continuous System : Condensed Matter and Statistical Physics
- A New Expansion of Dynamical Correlations in Stochastic Processes and Chaotic Dynamics(Condensed Matter and Statistical Physics)
- A New Mapping Model of Spatiotemporal Dynamics in Oscillatory Media : Condensed Matter and Statistical Physics
- Characterization of Various Statistics of Diffusive Motion