Category Archives: power laws

Gravity v Radiation Models

Posted on August 24, 2013 by Michael Batty

For many years, almost from the time when Newton first presented his laws of gravitation, speculations and applications of the gravity model to human interactions have been made. In the 19th century, Carey and Ravenstein led the way with Reilly, … Continue reading →

Posted in Flows, Interactions, power laws, Scaling | Leave a comment

Math Targets Cities’ Essence

Posted on June 29, 2013 by Michael Batty

Luis Bettencourt’s paper in Science on The Origins of Scaling in Cities and my commentary on it called a Theory of City Size are summarised in a rather nice piece from Rachel Ehernberg in this week’s Science News where she … Continue reading →

Posted in allometry, city size, Connectivity, Economies of scale, power laws, Scaling | Leave a comment

Complexity Lectures Begin

Posted on February 23, 2013 by Michael Batty

Returned from my travels only to be confronted with yet another lecture course which you can get from this blog, but the innovation is that I am backing up the course with the wonderful Santa Fe lectures on complexity led … Continue reading →

Posted in Agent-Based Models, Cellular Automata, Complexity, Emergence, Entropy, Fractals, Hierarchy, Interactions, power laws, rank size, Scaling | Leave a comment