Although the evolutionary response to random genetic drift is classically modelled as a sampling process for populations with fixed abundance, abundances of in wild fluctuate over time. Furthermore, since exhibit demographic stochasticity and part due stochasticity, theoretical approaches are needed understand role eco-evolutionary dynamics. Here we close this gap quantitative characters evolvi...

Fluctuation theorems based on time-reversal have provided remarkable insight into the non-equilibrium statistics of thermodynamic quantities like heat, work, and entropy production. These types laws impose constraints distributions certain trajectory functionals that reflect underlying dynamical symmetries. In this we introduce a detailed fluctuation theorem for Langevin dynamics follows from G...

We study stochastic elliptic PDEs driven by multiplicative Gaussian white noise. Even the simplest equations driven by this noise often do not have a square-integrable solution and must be solved in special weighted spaces. We demonstrate that the Cameron-Martin version of the Wiener chaos decomposition is an e ective tool to study such equations and present the corresponding solvability results.

In this paper we demonstrate how concepts of white noise analysis can be used to give an explicit solution to a stochastic transport equation driven by Lévy white noise.

BACKGROUND Independent Component Analysis (ICA) has been widely applied to the analysis of fMRI data. Accurate estimation of the number of independent components of fMRI data is critical to reduce over/under fitting. Although various methods based on Information Theoretic Criteria (ITC) have been used to estimate the intrinsic dimension of fMRI data, the relative performance of different ITC in...