Kwong Yvonne Roamy. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1999. / Includes bibliographical references (leaves 149-152). / Text in English; abstracts in English and Chinese. / Kwong Yvonne Roamy. / Overviews --- p.1 / Chapter I --- Traffic Flow Problems --- p.5 / Chapter 1 --- Microscopic Approach to ID Traffic Flow Problems --- p.6 / Chapter 1.1 --- Introduction --- p.6 / Chapter 1.2 --- Models and General Formalisms --- p.7 / Chapter 1.2.1 --- The Fukui-Ishibashi Model and its Microscopic Repre- sentations --- p.7 / Chapter 1.2.2 --- Microscopic Expression for Average Velocity --- p.10 / Chapter 1.3 --- Analysis of Special Cases --- p.12 / Chapter 1.3.1 --- vmax=1 Deterministic Model --- p.12 / Chapter 1.3.2 --- vmax = 1 Model with Random Delay --- p.16 / Chapter 1.3.3 --- vmax = 2 Deterministic Model --- p.19 / Chapter 1.3.4 --- vmax = 2 Model with Random Delay --- p.23 / Chapter 1.3.5 --- vmax = 3 Deterministic Model --- p.28 / Chapter 1.3.6 --- vmax= 3 Model with Random Delay --- p.32 / Chapter 2 --- Two-Lane Traffic Flow Model I: A Microscopic Approach --- p.40 / Chapter 2.1 --- Introduction --- p.40 / Chapter 2.2 --- The Model --- p.41 / Chapter 2.3 --- Microscopic Approach --- p.44 / Chapter 2.3.1 --- Notations --- p.44 / Chapter 2.3.2 --- Formalism --- p.45 / Chapter 2.3.3 --- Iterative Results --- p.49 / Chapter 3 --- Two-Lane Traffic Flow Model II: An Alternative Approach --- p.51 / Chapter 3.1 --- Introduction --- p.51 / Chapter 3.2 --- Steady State Equations --- p.52 / Chapter 3.3 --- Exact Solution for The Case of f = 0 --- p.54 / Chapter 3.4 --- Analytical Solutions for The General Case --- p.58 / Chapter II --- Cellular Automaton Models of Driven Diffusive Frenkel-Kontorova-type Systems --- p.61 / Chapter 4 --- Microscopic Approach to the 1D CA Model of FK Systems (Model A) --- p.62 / Chapter 4.1 --- Introduction --- p.62 / Chapter 4.2 --- Model --- p.63 / Chapter 4.2.1 --- Updating Rules of the Model --- p.63 / Chapter 4.2.2 --- Symbolic Representations of the Site States --- p.64 / Chapter 4.2.3 --- Time Evolution of the State Variables --- p.66 / Chapter 4.3 --- Theoretical Solutions to the CA Model --- p.70 / Chapter 4.3.1 --- Dynamical Mapping of Mobility --- p.70 / Chapter 4.3.2 --- Analytical Solution in Large Field Limit: α= 1 --- p.71 / Chapter 4.3.3 --- "Numerical Solutions to the General Case: α E [0,1]" --- p.78 / Chapter 5 --- Microscopic Approach to the 1D CA Model of FK Systems (Model B) --- p.83 / Chapter 5.1 --- Introduction --- p.83 / Chapter 5.2 --- The Model --- p.84 / Chapter 5.2.1 --- Updating Rules --- p.84 / Chapter 5.2.2 --- Evolution Equations of The System --- p.84 / Chapter 5.3 --- Theoretical Approach to Model B --- p.87 / Chapter 5.3.1 --- Mobility at Time t + 1 in terms of Spatial Averages at Time t --- p.87 / Chapter 5.3.2 --- Analytical Solution in Large Field Limit:α = 1 --- p.88 / Chapter 5.3.3 --- "Numerical Solutions to the General Case:α E [0,1]" --- p.90 / Chapter III --- Noninteracting Particles obeying Intermediate Statistics --- p.97 / Chapter 6 --- Recursive Relation for the Partition Functions of Noninter- acting Particles Obeying Intermediate Statistics --- p.98 / Chapter 6.1 --- Introduction --- p.98 / Chapter 6.2 --- Recursive Relation for the Partition Functions --- p.100 / Chapter 6.2.1 --- Derivation I --- p.101 / Chapter 6.2.2 --- Derivation II --- p.103 / Chapter 6.2.3 --- Derivation III --- p.105 / Chapter 6.2.4 --- Heat Capacity and Occupation Numbers --- p.106 / Chapter 6.3 --- Applications to Particles in Different Confinements --- p.107 / Chapter 6.3.1 --- Isotropic Harmonic Confinements --- p.107 / Chapter 6.3.2 --- Anisotropic Harmonic Confinements --- p.108 / Chapter 6.3.3 --- Confinements in Rigid Boxes --- p.110 / Chapter 6.4 --- Typical Results and The 'Sign' Problem --- p.111 / Chapter 7 --- Thermodynamics of Non-interacting M-ons --- p.117 / Chapter 7.1 --- Introduction --- p.117 / Chapter 7.2 --- Regime of Validity --- p.117 / Chapter 7.3 --- Derivations of Tc --- p.119 / Chapter 7.3.1 --- Harmonic Confinements --- p.120 / Chapter 7.3.2 --- Rigid Box Confinements --- p.126 / Chapter IV --- Nonlinear Random Composites --- p.135 / Chapter 8 --- Dimensional Crossover of Strongly Nonlinear Random Re- sistor Networks --- p.136 / Chapter 8.1 --- Introduction --- p.136 / Chapter 8.2 --- Formalism --- p.137 / Chapter 8.3 --- Model --- p.139 / Chapter 9 --- Dilute Limit Formula for Second Harmonic Generationin Composites of Two Non-linear Components --- p.142 / Chapter 9.1 --- Introduction --- p.142 / Chapter 9.2 --- Derivation I --- p.142 / Chapter 9.3 --- Derivation II --- p.147 / Bibliography --- p.148

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published_or_final_version / Physics / Master / Master of Philosophy

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Chan King Pak Keven = 競爭性系統個體模型中的策略動態、決策及整體表現 / 陳景柏. / Thesis submitted in: August 2005. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves vii-viii (4th gp.)). / Text in English; abstracts in English and Chinese. / Chan King Pak Keven = Jing zheng xing xi tong ge ti mo xing zhong de ce lüe dong tai, jue ce ji zheng ti biao xian / Chen Jingbo. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Review on the Minority Game --- p.5 / Chapter 2.1 --- Background --- p.5 / Chapter 2.2 --- Model of MG --- p.6 / Chapter 2.3 --- Features --- p.7 / Chapter 2.3.1 --- Phase Transition --- p.7 / Chapter 2.3.2 --- Inefficient and Efficient Phase --- p.8 / Chapter 2.3.3 --- Anti-persistence --- p.9 / Chapter 2.3.4 --- Data Collapse --- p.10 / Chapter 2.4 --- Existing Theories --- p.10 / Chapter 2.4.1 --- Reduced Strategy Space --- p.11 / Chapter 2.4.2 --- The Crowd-Anticrowd Theory --- p.12 / Chapter 2.5 --- Summary --- p.13 / Chapter 3 --- Introduction to Strategy Ranking Theory --- p.15 / Chapter 3.1 --- Strategy Ranking Theory for Mean Success Rate --- p.15 / Chapter 3.1.1 --- Time evolution of Virtual Point Ranking --- p.15 / Chapter 3.1.2 --- Winning Probability for m = 1 --- p.17 / Chapter 3.2 --- Calculation of Mean Success Rate --- p.21 / Chapter 3.3 --- "Size Dependence of weυen(K) (""Market Impact"" Effect)" --- p.23 / Chapter 3.4 --- Size Dependence of wodd、K) (Uneven Distribution of Agents into Split Ranks) --- p.25 / Chapter 4 --- Implementation of Strategy Ranking Theory --- p.30 / Chapter 4.1 --- Feature of wodd(k) for higher m --- p.30 / Chapter 4.2 --- Derivation of wodd(k) from Strategy Ranking Theory --- p.32 / Chapter 4.3 --- Proof of Eq. (4.14) --- p.36 / Chapter 4.4 --- Discussion on wodd(k) --- p.41 / Chapter 4.4.1 --- Asymptotic Behavior of wodd(k) --- p.42 / Chapter 4.4.2 --- Finite size correction of wodd(k) --- p.43 / Chapter 5 --- Applications of Strategy Ranking Theory --- p.46 / Chapter 5.1 --- Probability Density Function of Agents Making a Particular Choice --- p.46 / Chapter 5.1.1 --- Odd time steps： k = 1 --- p.47 / Chapter 5.1.2 --- Odd time steps： k = 2 --- p.48 / Chapter 5.1.3 --- "Rodd,K" --- p.49 / Chapter 5.1.4 --- Even time steps --- p.51 / Chapter 5.1.5 --- Overall Attendance Distribution --- p.51 / Chapter 5.2 --- The Variance of the Attendance --- p.52 / Chapter 5.2.1 --- Asymptotic behavior of the variance --- p.54 / Chapter 5.3 --- Anti-persistent Nature of Efficient Phase of MG --- p.55 / Chapter 5.4 --- Summary --- p.58 / Chapter 6 --- Strategy Ranking Theory and Crowd-Anticrowd Theory --- p.59 / Chapter 6.1 --- Introduction --- p.59 / Chapter 6.1.1 --- Strategy Ranking Theory --- p.60 / Chapter 6.1.2 --- Crowd-Anticrowd Theory --- p.61 / Chapter 6.2 --- Crowd-Anticrowd Theory with Ranking Patterns Characterized by k --- p.63 / Chapter 6.3 --- Variance: Crowd-Anticrowd Theory --- p.65 / Chapter 6.3.1 --- m = 1 --- p.65 / Chapter 6.3.2 --- m = 2 --- p.66 / Chapter 6.4 --- Variance： Modified Crowd-Anticrowd Theory for m̐ơح 1 --- p.66 / Chapter 6.4.1 --- k = 0 --- p.67 / Chapter 6.4.2 --- k = 1 --- p.67 / Chapter 6.4.3 --- k = 2 --- p.67 / Chapter 6.4.4 --- Sum over all k --- p.68 / Chapter 6.5 --- Variance: Modified Crowd-Ant icrowd Theory for m=2 --- p.68 / Chapter 6.5.1 --- k = 3 --- p.69 / Chapter 6.5.2 --- k = 4 --- p.70 / Chapter 6.5.3 --- Sum over all k --- p.71 / Chapter 6.6 --- "Strategy Ranking Theory Expressed in (Nkl-Nk,(l)" --- p.71 / Chapter 6.7 --- Summary --- p.73 / Chapter 7 --- Variance of the Attendance in MG: Data Collapse --- p.75 / Chapter 7.1 --- Previous Studies --- p.75 / Chapter 7.2 --- Attempt 1 --- p.76 / Chapter 7.2.1 --- Understanding from the Existing Theories --- p.76 / Chapter 7.2.2 --- Numerical Results --- p.79 / Chapter 7.3 --- Attempt 2 --- p.80 / Chapter 7.3.1 --- Modification Based on αc ß 1/2 --- p.81 / Chapter 7.3.2 --- Numerical Results --- p.81 / Chapter 7.4 --- Summary --- p.82 / Chapter 8 --- Minority Game in Networked Population --- p.83 / Chapter 8.1 --- Introduction --- p.83 / Chapter 8.2 --- Model --- p.84 / Chapter 8.3 --- Numerical Results --- p.85 / Chapter 8.4 --- Classification of Predictors --- p.86 / Chapter 8.4.1 --- Major Classification of Predictors - Hamming Distance D --- p.87 / Chapter 8.4.2 --- "Minor Classification of Predictors - Dynamical Ranking (k,1)" --- p.88 / Chapter 8.4.3 --- "Using the Classification (k,l, D)" --- p.89 / Chapter 8.5 --- "Winning Probability of a Predictor (wk,l,d)" --- p.89 / Chapter 8.5.1 --- "Odd Steps, k = 1" --- p.90 / Chapter 8.5.2 --- "Odd Steps, k = 2" --- p.91 / Chapter 8.6 --- Number of Predictors --- p.93 / Chapter 8.7 --- Mean Success Rate of Non-networked MG： m = 1 --- p.93 / Chapter 8.8 --- "Cluster Size of a Predictor (sk,l,D)" --- p.95 / Chapter 8.9 --- Mean Success Rate of Networked MG --- p.97 / Chapter 8.9.1 --- With wK(even)=0.5 --- p.97 / Chapter 8.9.2 --- "Modification of wK(even) Using skl,D" --- p.98 / Chapter 8.9.3 --- Modification of Using Modified wK(even) --- p.100 / Chapter 8.10 --- Variance of the Attendance in Networked MG --- p.101 / Chapter 8.11 --- Attendance Distribution --- p.103 / Chapter 8.12 --- A Network-type Independent Approach --- p.104 / Chapter 8.12.1 --- Degree Depending Success Rate --- p.104 / Chapter 8.12.2 --- Evaluating w(k) --- p.107 / Chapter 8.12.3 --- Application on Random Graph as Underlying Network --- p.108 / Chapter 8.13 --- The Position of the Minimum Variance --- p.108 / Chapter 8.14 --- Summary --- p.110 / Chapter 9 --- Conclusion --- p.111 / Bibliography --- p.115

Thesis (M. Phil.)--University of Hong Kong, 2007. / Title proper from title frame. Also available in printed format.

Thesis (M. Phil.)--Hong Kong University of Science and Technology, 2002. / Includes bibliographical references. Also available in electronic version. Access restricted to campus users.

published_or_final_version / abstract / Physics / Master / Master of Philosophy