Let \(f\) denote the density function of a crowd in a given space \(X\), and let \(\nabla f\) denote the gradient vector field. If I am at a given point \(x\in X\), compute the integral curve \(c_{\nabla f}(t)\) such that \(c_{\nabla f}(0)=x\) and \( c_{\nabla f}'(t) = -\nabla f(c_{\nabla f}(t)) \). You just computed the trajectory in which I will move.
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## Harish ChintakuntaI like nerdy analysis of non-nerdy (well, also nerdy) things. Thats right, I am a nerd! ## Archives
June 2015
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