Boltzmann-Gibbs infinite ergodic theory
:

From Non-Normalizable Boltzmann-Gibbs Statistics to Infinite-Ergodic Theory
E. Aghion, D. A. Kessler, and E. Barkai
Phys. Rev. Lett. 122, 010601 (2019)
Quantum Walks: the first detected passage time problem
:

Quantum Walks: The first detected passage time problem (Phys. Rev.
selected publication)
First Detected Arrival of a Qunatum Walker on an Infinite Line
$1/f$ noise (one over f).
:

Fluctuations of 1/f noise and
the low frequency cutoff paradox
1/f noise for intermittent quantum dots exhibits non-stationarity and critical exponents
Aging Wiener-Khinchin Theorem
Aging Wiener-Khinchin theorem and critical exponents of $1/f^\beta$ noise
Conditional $1/f^\alpha$ noise: From single molecules to macroscopic measurement
Renewal theory for a system with internal states
Nonergodicity of a Time Series Obeying L\'evy
Statistics
Dynamics of cold atoms in optical lattices
:

Deviations from Boltzmann-Gibbs Statistics in Confined Optical Lettices
Large Fluctuations for Spatial Diffusion of Cold Atoms
Theory of Fractional L\'evy Kinetics for Cold Atoms Diffusing in Optical Lattices
Infinite Covariant Density For Diffusion in Logarithmic Potentials and Optical Lattices
From the area under tghe Bessel excursion to anomalous diffusion of cold
atoms
Transport and the first passage time problem with application to cold atoms in optical traps
Theory of single molecule spectroscopy
:

Theory of Single Molecule Spectroscopy: Beyond the (Ensemble) Average (Review Article)
Influence of Spectral Diffusion on
Single-Molecule Photon-Statistics
Super- and sub-Poissonian photon statistics for single molecule spectroscopy
Time Dependent Fluctuations in Single Molecule Spectroscopy: a Generalized Wiener--Khintchine Approach
Stochastic Theory of Single Molecule Spectroscopy
L\'evy Distribution of Single Molecule Line Shape Cumulants in Glasses (theory)
L\'evy Statistics for Random Single-Molecule Line Shapes in a Glass (experiment)
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 (Equilibrium)
:

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
Residence time statistics for N renewal processes
Fractional Feynmam-Kac equation for weak ergodicity breaking,
Nonergodicity of a Time Series Obeying L\'evy
Statistics
Fluctuations of time averages (ergodic systems)
:

Fluctuations of Time Averages for Langevin Dynamics
Fluctuations around equilibrium laws in ergodic continuous-time random walks
Non Self Averaging and its relation to Weak Ergodicity Breaking
:

Occupation Time Statistics in the Quenched Trap Model
Random time averaged transport coefficients:
Tracking single molecules in the cell environment
:

Anomalous diffusion models and their properties: non-stationarity, non-ergodicitym
and ageing at the centenary of single particle tracking
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
Random time averaged diffusivities for the L\'evy walk
Noisy Continuous Time Random Walks
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
:

Non-Normalizable Densities in Strong Anomalous Diffusion: Beyond the Central Limit Theorem
Large Fluctuations for Spatial Diffusion of Cold Atoms
Infinite densities for L\'evy walks
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 (short letter)
Distribution of time averages for weakly chaotic systems: The role of infinite invariant density (longer manuscript)
Numerical estimate of infinite invariant densities: application to Pesin-type identity
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
Statistical Aging :

Aging Wiener-Khinchin Theorem
Aging renewal theory and application to random walks
Scaling Green-Kubo relation and application to three aging systems
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
Everlasting effect of initial conditions on single-file diffusion
Diffusion in the quenched trap model: weak subordination breaking
:

Time transformation for random walks in the quenched trap model
Weak subordination breaking for the quenched trap model
Universal fluctuations of single-particle diffsivity in a quenched environment
Transport in Disordered Systems
:

Scaling Green-Kubo relation and application to three aging systems
Random Time-Scale Invariant Diffusion and Transport Coefficients
Paradoxes of sub-diffusive
infiltration in disordered systems
Generalized Einstein Relation: A Stochastic Approach
Time averaged Einstein relation and diffusivities for the L\'evy walk
No-go theorem for ergodicity and an Einstein relation
Time transformation for random walks in the quenched trap model
The L\'evy Lorentz Gas
One Dimensional Stochastic Lorentz Gas
Universal fluctuations of single-particle diffsivity in a quenched environment
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
Excursion and Meanders
:

Distribution of the area under a Bessel excursion and its moments
Random Walks
:

Anomalous Diffusion in the Strong Scattering Limit a L\'evy Walk Approach
Aging Continuous Time Random Walk
Noisy Continuous Time Random Walks
Superdiffusive dispersals impart the geometry of underlying random
walks
Aging renewal theory and application to random walks
Infinite densities for L\'evy walks
Renewal Theoory
:

Renewal theory for a system with internal states
Dissipation and fluctuation for a randomly kicked particle: Normal and anomalous diffusion