On Urban Morphology and Mathematics
Part I: Fractals
Fractal Dimension Analysis of Urban Morphology Based on Spatial Correlation Functions
Central Place Theory and Power Laws for Cities
Distribution of Cities Size: Zipf, Gibrat, Pareto Law
Signature of Organic Urban Growth: Degree Distribution of the City's Street Network Structure
A Fractal Approach to Explore Australian Urban Form and Its Impacting Factors at Neighborhood Scale
Part II: Cellular Automata
Geographic Cellular Automata for Urban Form
Mathematical Foundations of Cellular Automata and Complexity Theory
Part III: Spatial Networks and Space Syntax
Mathematics of Urban Spatial Networks
Space Syntax: A Network Based Configurational Approach to Studying Urban Morphology
Applied Mathematics on Urban Space
The Morphology and Circuity of Street Networks
Part IV: Complexity
Emergence of Complexity in Urban Morphology
Complexity, Darwinian Mutations, and Selection in Urban Morphology Evolution: How Mathematics Looks at Escher Metamorphosis
A Topological Representation for Taking Cities as a Coherent Whole
Part V: Other Forms of Quantification
A Multiscale Classification 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
Examining Spatial Structure Using Gravity Models
Part VI: Humanistic and Multidisciplinary Commentaries
From Morphology to 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 Form, Agents and Processes of Change
The Future of Streets
Understanding and Quantifying Urban Density Towards a More Sustainable City Form
To Not Talk Past Each Other: An Immodest Proposal for Cross-Conceptual Research in Urban Morphology.