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.

Semiclassical instanton theory

Semiclassical instanton approach to calculation of reaction rate constants in multidimensional chemical systems appeared in the recent work [link]. Similarly, the equivalence of two commonly used forms of semiclassical instanton theory are discussed else where
[link].

Universal Intelligence

Turing test is maybe the core concept of artificial intelligence. A recent work that claims to extent context of Turing test is titled:Measuring universal intelligence: Towards an anytime intelligence test. The primary contribution of this research by Oralloa and Doweb is centred around the applicability of the Turing test to any type of intelligence via employing Kolmogorov complexity .

Coarse grained Molecular Modelling and Information Loss

Tracking atomistic details in molecular simulations generates a lot of data and reveals a lot of statistical and thermodynamic properties of system under study. Due to large system sizes and time scales in a realistic molecular system, current atomistic simulations needs to cover up to 10-12 orders of magnitude computation time or system size compare to what current computers can tackle. A coarser representation of molecular system is usually employed to reduce the spatial and time scales, proportionally computation time. Fine details of the system is removed and
effective interactions or physical characteristics are introduced instead.(See a review by Pep Espanol Statistical Mechanics of Coarse Graining).

An important problem of information loss in this coarse graining procedure is recently investigated by using relative entropy approach, where entropy of reduce system compared to detailed system by a group in California [link].

A similar effort in this direction to model water (see my short blog as well [link])
is developed by Van gunsteren group coarse graining polarizable water [link].