Sublime

The limit Hm → 1 allows individuals to fully sample the city within the smallest distance traveled,

benefit trade-offs experienced by mobile agents such as households and firms, who must choose, within their own constraints, where to locate and whom to interact with.

These logarithmic derivatives

cooperation at scale. The state, business, and civil society all have roles to play in creating the

even though in larger cities there are more professions, each with different specialized knowledge, there are fewer per capita.

ecology, to sociology, to economics.

We will be able to tell how dense such cities would be, their amount of infrastructure, the heights of their skylines, how congested their transportation systems would be, how quickly an epidemic will spread, how often people meet, and how quickly they move!

Markets are driven by the actions of countless individuals, each reacting to his or her whims, the weather, and the news of the day. Remarkably, just as with army ants, out of all our individual actions emerges a higher order, a set of prices that allows us to buy and sell whatever we may desire.

It seems that, from the perspective of mathematical science, there exist two natural domains. The first is the physical domain of particles, fields, and universal laws, with an associated search for elegant theories that apply everywhere in the known universe. Here, science has made great strides. The second domain is that of complex phenomena. The