Produktbild: Statistics and Dynamics of Urban Populations

Statistics and Dynamics of Urban Populations Empirical Results and Theoretical Approaches

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

21.03.2024

Abbildungen

56 line drawings and colour illustrations

Verlag

Oxford University Press

Seitenzahl

176

Maße (L/B/H)

24,6/18,3/2,3 cm

Gewicht

499 g

Sprache

Englisch

ISBN

978-0-19-286754-4

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

21.03.2024

Abbildungen

56 line drawings and colour illustrations

Verlag

Oxford University Press

Seitenzahl

176

Maße (L/B/H)

24,6/18,3/2,3 cm

Gewicht

499 g

Sprache

Englisch

ISBN

978-0-19-286754-4

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Statistics and Dynamics of Urban Populations
    • PART I COUNTING PEOPLE
    • 1: Urban population
    • 1.1 Defining the city
    • 1.2 An historical example: Paris
    • 1.3 Functional and morphological denitions
    • 1.4 Gridded population of the world
    • 2: Why does population matter?
    • 2.1 Population is a good start
    • 2.2 Scaling in cities
    • PART II RANKING CITIES
    • 3: The distribution of urban populations
    • 3.1 Power-laws
    • 3.2 Zipf's law for cities
    • 3.3 How to t a power-law?
    • 3.4 Revisiting Zipf's law for cities
    • 4: Dynamics of ranking
    • 4.1 Stable versus unstable ranking
    • 4.2 Modelling the ranking dynamics
    • 4.3: Rank variations of cities
    • PART III MODELS OF URBAN GROWTH
    • 5: Stochastic calculus
    • 5.1 Brownian motion
    • 5.2 Itô and Stratonovich prescriptions
    • 5.3 Fokker-Planck equation
    • 6: Stochastic models of growth
    • 6.1 Yule-Simon's model of growth
    • 6.2 Gibrat's law for cities
    • 6.3 Gabaix's mode
    • 7: Models with migration
    • 7.1 A modied Yule-Simon model
    • 7.2 A master equation approach
    • 7.3 Diusion with noise: the Bouchaud-Mezard model
    • PART IV HOW CITIES TRULY GROW
    • 8: The generalized central limit theorem and Levy stable laws
    • 8.1 The central limit theorem and its generalization
    • 8.2 Levy stable laws
    • 8.3 The generalized central limit theorem
    • 9: From First principles to the growth equation
    • 9.1 Building a bottom-up equation
    • 9.2 Gravitational model
    • 9.3 Minimal model for the inter-urban migration flows
    • 10: About city dynamics
    • 10.1 Solving a new kind of equation
    • 10.2 Analysis and scaling of the solution
    • 10.3 Rank dynamics
    • 11: Outlook: Beyond Zipf's law
    • 11.1 Zipf's law: the end?
    • 11.2 And space?
    • References
    • Index