Experimental Evidence for L\'evy Statistics in Single-Molecule
Spectroscopy
in a Low Temperature Glass- Manifestation of Long-Range Interactions.
Transition From Simple to Complex
Behavior of Single Molecule Line Shapes in Disordered Condensed Phase
Phton Emission from a Driven Single Molecule Source:
a Renormalization Group Approach
Single Molecule Chemical Reactions: Reexamination of the Kramers approach
Single Photon Spectroscopy and Nonlinear Single Molecule Spectroscopy
:
Photon Statistics for Single-Molecule Nonlinear Spectroscopy
Probing Dynamics of Single Molecules: Nonlinear Spectroscopy Approach
Theory of Single Photon Control from a Two Level System Source
Theory of Single Photon On Demand from a Single Molecule Source
Statistical Mechanics of Weak Ergodicity Breaking
:
Weakly Non-Ergodic Statistical Physics
Distribution of Time-Averaged Observables for Weak Ergodicity Breaking
Weak Ergodicity Breaking in the Continuous Time Random Walk (short Letter)
A Random Walk to a Non-Ergodic Equilibrium Concept (Longer Manuscript)
Occupation Times and Weak Ergodicity Breaking in Biased
Continuous Time Random Walks
Weak Ergodicity Breaking with Deterministic Dynamics
Residence Time Statistics for Normal and Fractional Diffusion in
A Force Field
Nonergodicity of a Time Series Obeying L\'evy
Statistics
Residence time statistics for N renewal processes
Fractional Feynmam-Kac equation for weak ergodicity breaking,
Fluctuations of time averages
:
Fluctuations of Time Averages for Langevin Dynamics
Non Self Averaging and its relation to Weak Ergodicity Breaking
:
Occupation Time Statistics in the Quenched Trap Model
Tracking single molecules in the cell environment
:
Random Time-Scale Invariant Diffusion and Transport Coefficients
In Vivo Anomalous Diffusion and Weak ergodicity Breaking of Lipid Granules
Single Particle Tracking in Systems Showing Anomalous diffusion: the Role of Weak Ergodicity Breaking
Non-ergodicity, Aging, and L\'evy Statistics for Blinking Nano-Crystals
:
Beyond Quantum Jumps: Blinking Nanoscale Light Emitters (popular article)
Residence time statistics for N renewal processes
Nonergodicity of Blinking Nanocrystals
and Other L\evy Walk Processes
Aging Correlation Functions for Blinking
Nano-Crystals, and Other On-Off Stochastic Processes
Line shape Theory and Photon Counting Statistics for Blinking Quantum Dots: a Levy Walk Process
Photon Counting Statistics For Blinking
CdSe-ZnS Quantum Dots: A L\'evy Walk Process (Experiment)
Infinite Invariant densities and their application
:
Infinite Covariant Density For Diffusion in Logarithmic Potentials and Optical Lattices
Pesin-Type Identity for Intermittent Dynamics with a Zero Lyaponov Exponent
Infinite invariant density determines
statistics of time averages for weak chaos
Fractional Kinetic Equations: Foundations, Solutions, and Applications
:
Fractional Fokker--Planck Equation, Solution, and Application
Anomalous Diffusion and
Relaxation Close to Thermal
Equilibrium: A Fractional Fokker--Planck Equation Approach
Fractional Kramers Equation
CTRW Pathways to the Fractional Diffusion Equation
From Continuous Time Random Walks, to the Fractional Fokker--Planck Equation
Fractional Dynamics Approach to Diffusion Assisted Reactions
in Disordered Media
Critical Exponent of the Fractional Langevin Equation
Ergodic Properties of Fractional Brownian-Langevin Motion
Fractional Feynman-Kac Equation for Non-Brownian Functionals
On Distributions of Functionals of Anomalous Diffusion Paths
Foundation of fractional Langevin equation: Harmonization of a
many-body problem
Aging and its relation to weak ergodicity breaking :
Aging and nonergodicity beyond the Khinchin theorem
Aging Continuous Time Random Walk
Strong correlations between fluctuations and response in aging transport
Multi-point distribution function
for the continuous time random walk
Weak Chaos: generalized Pesin identity, Anomalous Diffusion, Aging and Ergodicity Breaking, infinite invariant measure
:
Pesin-Type Identity for Intermittent Dynamics with a Zero Lyaponov Exponent
Separation of trajectories and its relation to entropy for systems with a zero Lyapunov exponent
Aging in A Chaotic System
Transition from Dispersive to Regular Transport in Biased Maps
Weak Ergodicity Breaking with Deterministic Dynamics
Dynamics of interacting particles in 1d
:
Theory of Single File Diffusion in a Force Field
Diffusion of a Tagged Particle in an Exclusion Process
Foundation of fractional Langevin equation: Harmonization of a
many-body problem
Diffusion in the QTM: weak subordination breaking
:
Time transformation for random walks in the quenched trap model
Weak subordination breaking for the quenched trap model
Transport in Disordered Systems
:
Random Time-Scale Invariant Diffusion and Transport Coefficients
Paradoxes of sub-diffusive
infiltration in disordered systems
Generalized Einstein Relation: A Stochastic Approach
The L\'evy Lorentz Gas
One Dimensional Stochastic Lorentz Gas
Stable Equilibrium Based on L\'evy Statistics
:
Stable Equilibrium Based on L\'evy Statistics: Stochastic Collision Models Approach
Stable Equilibrium Based on L\'evy Statistics: A Linear Boltzmann Equation Approach