URBAN SYSTEMS MODELS
CONTENTS ON URBAN MORPHOLOGY AND MATHEMATICS PART I FRACTALS FRACTAL DIMENSION ANALYSIS OF URBAN MORPHOLOGY BASED ON SPATIAL CORRELATION FUNCTIONS CENTRAL PLACE THEORY AND THE POWER LAW FOR CITIES DISTRIBUTION OF CITY SIZE: GIBRAT, PARETO, ZIPF THE SIGNATURE OF ORGANIC URBAN GROWTH A FRACTAL APPROACH TO EXPLORE AUSTRALIAN URBAN FORM AND ITS IMPACTING FACTORS AT NEIGHBOURHOOD SCALE PART II CELLULAR AUTOMATA GEOGRAPHIC CELLULAR AUTOMATA FOR REALISTIC URBAN FORM SIMULATIONS: HOW FAR SHOULD THE CONSTRAINT BE CONTAINED? MATHEMATICAL FOUNDATIONS OF CELLULAR AUTOMATA AND COMPLEXITY THEORY PART III SPATIAL NETWORKS AND SPACE SYNTAX ASSESSING COMPLEXITY OF URBAN SPATIAL NETWORKS SPACE SYNTAX: A NETWORK-BASED CON?GURATIONAL APPROACH TO STUDYING URBAN MORPHOLOGY APPLIED MATHEMATICS ON URBAN SPACE THE MORPHOLOGY AND CIRCUITY OF WALKABLE AND DRIVABLE STREET NETWORKS PART IV COMPLEXITY EMERGENCE OF COMPLEXITY IN URBAN MORPHOLOGY ON THE COMPLEX INTERACTION BETWEEN MATHEMATICS AND URBAN MORPHOLOGY A TOPOLOGICAL REPRESENTATION FOR TAKING CITIES AS A COHERENT WHOLE PART V OTHER FORMS OF QUANTI?CATION A MULTISCALE CLUSTERING OF THE URBAN MORPHOLOGY FOR USE IN QUANTITATIVE MODELS AN URBAN MORPHOGENESIS MODEL CAPTURING INTERACTIONS BETWEEN NETWORKS AND TERRITORIES CONTINUUM PERCOLATION AND SPATIAL POINT PATTERN IN APPLICATION TO URBAN MORPHOLOGY URBAN COMPACTNESS: NEW GEOMETRIC INTERPRETATIONS AND INDICATORS USING GOOGLE STREET VIEW FOR STREET-LEVEL URBAN FORM ANALYSIS, A CASE STUDY IN CAMBRIDGE, MASSACHUSETTS EXAMINING SPATIAL STRUCTURE USING GRAVITY MODELS PART VI HUMANISTIC AND MULTIDISCIPLINARY COMMENTARIES URBAN MORPHOGENESIS: PUTTING MATHEMATICS IN ITS PLACE NOT ONLY … BUT ALSO: URBAN MATHEMATICAL MODELS AND URBAN SOCIAL THEORY URBAN MORPHOLOGY OR TOWNSCAPE? WHOLES MADE OF MANY PARTS EXTENDING URBAN MORPHOLOGY: DRAWING TOGETHER QUANTITATIVE AND QUALITATIVE APPROACHES MATHEMATICS AND CITIES: A LONG-STANDING RELATIONSHIP FIT FOR THE FUTURE? MATHEMATICS AND/AS HUMANITIES–LINKING HUMANISTIC HISTORICAL TO QUANTITATIVE APPROACHES URBAN FORMS, AGENTS, AND PROCESSES OF CHANGE FUTURE OF STREETS UNDERSTANDING AND QUANTIFYING URBAN DENSITY TOWARD MORE SUSTAINABLE CITY FORM TO NOT TALK PAST EACH OTHER: AN IMMODEST PROPOSAL FOR CROSS-CONCEPTUAL RESEARCH IN URBAN MORPHOLOGY