Physics Today, A new angle on complex dynamics, Johanna L. Miller

Angular Properties of Transport in Random Mediaסטס

By exploring the properties of angles in single trajectories we can quite efficiently deduce the underlying stochastic mechanism. While a dull quantity for regular diffusion, its behavior becomes quite rich for any complex movement.

Using ergodicity and biasing to increase precisionUntitled

This figure summarizes a simple argument that is used in order to increase a precision of tracking algorithm. Incorporating ergodicity of the tracked process and systematic “wrong” tracking of singlemolecule leads to precision (in estimation of molecule position) beyond the limit of un-biased estimation.