Langevin Bridges

A recent work in determining transition pathways using overdamped Langevin dynamics is proposed [link]. Generating transition paths by Langevin bridges approximates the Fokker-Planck equation for short times.

Fokker-Planck Analysis for microscopy

Fokker–Planck analysis of separation dependent potentials and diffusion coefficients in simulated microscopy experiments

Urban Spatial Networks

Complex network research. Mathematical Analysis of Urban Spatial Networks ;
Mathematics and morphogenesis of cities: A geometrical approach
[arXiv]

Shannon and von Neumann entropy of random networks

A recent work on Shannon and von Neumann entropy of random networks provides new measures on complexity [link]. The major result shows the equivalence between classical and quantum networks.