Homogenization for Generalized Langevin Equations with Applications to Anomalous Diffusion

Superstatistical generalised Langevin equation: non-Gaussian viscoelastic anomalous diffusion

(2018) Jakub Ślęzak et al.   NEW JOURNAL OF PHYSICS

Homogenization of dissipative, noisy, Hamiltonian dynamics

(2018) Jeremiah Birrell et al.   STOCHASTIC PROCESSES AND THEIR APPLICATIONS

The Small-Mass Limit and White-Noise Limit of an Infinite Dimensional Generalized Langevin Equation

(2018) Hung D. Nguyen   JOURNAL OF STATISTICAL PHYSICS

Anomalous Diffusion and the Generalized Langevin Equation

(2018) Scott A. McKinley et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Homogenization for a Class of Generalized Langevin Equations with an Application to Thermophoresis

(2018) Soon Hoe Lim et al.   JOURNAL OF STATISTICAL PHYSICS

Multiple-scale stochastic processes: Decimation, averaging and beyond

(2017) Stefano Bo et al.   PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS

Small Mass Limit of a Langevin Equation on a Manifold

(2016) Jeremiah Birrell et al.   ANNALES HENRI POINCARE

Uncertainty quantification for generalized Langevin dynamics

(2016) Eric J. Hall et al.   JOURNAL OF CHEMICAL PHYSICS

The Small-Mass Limit for Langevin Dynamics with Unbounded Coefficients and Positive Friction

(2016) David P. Herzog et al.   JOURNAL OF STATISTICAL PHYSICS

Model Comparison and Assessment for Single Particle Tracking in Biological Fluids

(2016) Martin Lysy et al.   JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

A trajectory-free framework for analysing multiscale systems

(2016) Gary Froyland et al.   PHYSICA D-NONLINEAR PHENOMENA

Data-driven parameterization of the generalized Langevin equation

(2016) Huan Lei et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Superdiffusion dominates intracellular particle motion in the supercrowded cytoplasm of pathogenic Acanthamoeba castellanii

(2015) Julia F. Reverey et al.   Scientific Reports

The Smoluchowski-Kramers Limit of Stochastic Differential Equations with Arbitrary State-Dependent Friction

(2014) Scott Hottovy et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking

(2014) Ralf Metzler et al.   PHYSICAL CHEMISTRY CHEMICAL PHYSICS

From Langevin to generalized Langevin equations for the nonequilibrium Rouse model

(2013) Christian Maes et al.   PHYSICAL REVIEW E

Hydrodynamic and subdiffusive motion of tracers in a viscoelastic medium

(2013) Denis S. Grebenkov et al.   PHYSICAL REVIEW E

Homogenization for deterministic maps and multiplicative noise

(2013) G. A. Gottwald et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Elimination of inertia from a Generalized Langevin Equation: Applications to microbead rheology modeling and data analysis

(2012) Andrés Córdoba et al.   JOURNAL OF RHEOLOGY

Treating inertia in passive microbead rheology

(2012) Tsutomu Indei et al.   PHYSICAL REVIEW E

Markovian embedding of fractional superdiffusion

(2011) P. Siegle et al.   EPL

Balanced model reduction of partially observed Langevin equations: an averaging principle

(2011) Carsten Hartmann   MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS

Asymptotic analysis for the generalized Langevin equation

(2011) M Ottobre et al.   NONLINEARITY

Transient anomalous diffusion of tracer particles in soft matter

(2010) Scott A. McKinley et al.   JOURNAL OF RHEOLOGY

Markovian embedding of non-Markovian superdiffusion

(2010) Peter Siegle et al.   PHYSICAL REVIEW E

Origin of Hyperdiffusion in Generalized Brownian Motion

(2010) P. Siegle et al.   PHYSICAL REVIEW LETTERS

Stochastic modeling in nanoscale biophysics: Subdiffusion within proteins

(2008) S. C. Kou   Annals of Applied Statistics