Aging Renewal Theory and Application to Random Walks

Subdiffusive continuous time random walks and weak ergodicity breaking analyzed with the distribution of generalized diffusivities

(2013) T. Albers et al.   EPL

Noisy continuous time random walks

(2013) Jae-Hyung Jeon et al.   JOURNAL OF CHEMICAL PHYSICS

Correlated continuous time random walks: combining scale-invariance with long-range memory for spatial and temporal dynamics

(2013) Johannes H P Schulz et al.   Journal of Physics A-Mathematical and Theoretical

Anomalous diffusion and power-law relaxation of the time averaged mean squared displacement in worm-like micellar solutions

(2013) Jae-Hyung Jeon et al.   NEW JOURNAL OF PHYSICS

Aging generates regular motions in weakly chaotic systems

(2013) Takuma Akimoto et al.   PHYSICAL REVIEW E

Transient aging in fractional Brownian and Langevin-equation motion

(2013) Jochen Kursawe et al.   PHYSICAL REVIEW E

Time-averaged Einstein relation and fluctuating diffusivities for the Lévy walk

(2013) D. Froemberg et al.   PHYSICAL REVIEW E

Linear response, fluctuation-dissipation, and finite-system-size effects in superdiffusion

(2013) Aljaž Godec et al.   PHYSICAL REVIEW E

Single-particle tracking data reveal anticorrelated fractional Brownian motion in crowded fluids

(2013) Matthias Weiss   PHYSICAL REVIEW E

Fluctuations of1/fNoise and the Low-Frequency Cutoff Paradox

(2013) Markus Niemann et al.   PHYSICAL REVIEW LETTERS

Microscopic Origin of the Logarithmic Time Evolution of Aging Processes in Complex Systems

(2013) Michael A. Lomholt et al.   PHYSICAL REVIEW LETTERS

Aging Effects and Population Splitting in Single-Particle Trajectory Averages

(2013) Johannes H. P. Schulz et al.   PHYSICAL REVIEW LETTERS

Intracellular transport of insulin granules is a subordinated random walk

(2013) S. M. A. Tabei et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Anomalous transport in the crowded world of biological cells

(2013) Felix Höfling et al.   REPORTS ON PROGRESS IN PHYSICS

Universal Algorithm for Identification of Fractional Brownian Motion. A Case of Telomere Subdiffusion

(2012) Krzysztof Burnecki et al.   BIOPHYSICAL JOURNAL

First passage times for a tracer particle in single file diffusion and fractional Brownian motion

(2012) Lloyd P. Sanders et al.   JOURNAL OF CHEMICAL PHYSICS

Correlated continuous-time random walks in external force fields

(2012) Marcin Magdziarz et al.   PHYSICAL REVIEW E

Inequivalence of time and ensemble averages in ergodic systems: Exponential versus power-law relaxation in confinement

(2012) Jae-Hyung Jeon et al.   PHYSICAL REVIEW E

Anomalous Diffusion of Phospholipids and Cholesterols in a Lipid Bilayer and its Origins

(2012) Jae-Hyung Jeon et al.   PHYSICAL REVIEW LETTERS

Communication: Consistent picture of lateral subdiffusion in lipid bilayers: Molecular dynamics simulation and exact results

(2011) Gerald R. Kneller et al.   JOURNAL OF CHEMICAL PHYSICS

Single particle tracking in systems showing anomalous diffusion: the role of weak ergodicity breaking

(2011) Stas Burov et al.   PHYSICAL CHEMISTRY CHEMICAL PHYSICS

Subdiffusion of a Sticky Particle on a Surface

(2011) Q. Xu et al.   PHYSICAL REVIEW LETTERS

Non-Gaussian Fluctuations Resulting from Power-Law Trapping in a Lipid Bilayer

(2011) Takuma Akimoto et al.   PHYSICAL REVIEW LETTERS

In VivoAnomalous Diffusion and Weak Ergodicity Breaking of Lipid Granules

(2011) Jae-Hyung Jeon et al.   PHYSICAL REVIEW LETTERS

Ergodic and nonergodic processes coexist in the plasma membrane as observed by single-molecule tracking

(2011) A. V. Weigel et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Anomalous diffusion in correlated continuous time random walks

(2010) Vincent Tejedor et al.   Journal of Physics A-Mathematical and Theoretical

Analysis of short subdiffusive time series: scatter of the time-averaged mean-squared displacement

(2010) Jae-Hyung Jeon et al.   Journal of Physics A-Mathematical and Theoretical

Subdiffusion of mixed origins: When ergodicity and nonergodicity coexist

(2010) Yasmine Meroz et al.   PHYSICAL REVIEW E

Fractional Brownian motion and motion governed by the fractional Langevin equation in confined geometries

(2010) Jae-Hyung Jeon et al.   PHYSICAL REVIEW E

Foundation of fractional Langevin equation: Harmonization of a many-body problem

(2010) Ludvig Lizana et al.   PHYSICAL REVIEW E

Beyond the Death of Linear Response:1/fOptimal Information Transport

(2010) Gerardo Aquino et al.   PHYSICAL REVIEW LETTERS

Bacterial Chromosomal Loci Move Subdiffusively through a Viscoelastic Cytoplasm

(2010) Stephanie C. Weber et al.   PHYSICAL REVIEW LETTERS

Aging and nonergodicity beyond the Khinchin theorem

(2010) S. Burov et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

How Subdiffusion Changes the Kinetics of Binding to a Surface

(2009) Irwin M. Zaid et al.   BIOPHYSICAL JOURNAL

Universal fluctuations in subdiffusive transport

(2009) I. M. Sokolov et al.   EPL

Ergodic properties of fractional Brownian-Langevin motion

(2009) Weihua Deng et al.   PHYSICAL REVIEW E

Viscoelastic subdiffusion: From anomalous to normal

(2009) Igor Goychuk   PHYSICAL REVIEW E

Subdiffusion in time-averaged, confined random walks

(2009) Thomas Neusius et al.   PHYSICAL REVIEW E

Experimental Quenching of Harmonic Stimuli: Universality of Linear Response Theory

(2009) Paolo Allegrini et al.   PHYSICAL REVIEW LETTERS

Elucidating the Origin of Anomalous Diffusion in Crowded Fluids

(2009) Jedrzej Szymanski et al.   PHYSICAL REVIEW LETTERS

Weakly Non-Ergodic Statistical Physics

(2008) A. Rebenshtok et al.   JOURNAL OF STATISTICAL PHYSICS

High-density mapping of single-molecule trajectories with photoactivated localization microscopy

(2008) Suliana Manley et al.   NATURE METHODS

Nonergodicity Mimics Inhomogeneity in Single Particle Tracking

(2008) Ariel Lubelski et al.   PHYSICAL REVIEW LETTERS

Random Time-Scale Invariant Diffusion and Transport Coefficients

(2008) Y. He et al.   PHYSICAL REVIEW LETTERS