I. Eliazar

发表

Maximization of statistical heterogeneity: From Shannon’s entropy to Gini’s index

I. Eliazar, I. Sokolov, 2010 .

Lévy-Driven Langevin Systems: Targeted Stochasticity

J. Klafter, I. Eliazar, 2003 .

Asymmetric inclusion process.

U. Yechiali, I. Eliazar, S. Reuveni, 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

Asymmetric inclusion process as a showcase of complexity.

U. Yechiali, I. Eliazar, S. Reuveni, 2012, Physical review letters.

Occupation probabilities and fluctuations in the asymmetric simple inclusion process.

U. Yechiali, I. Eliazar, S. Reuveni, 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

Limit laws for the asymmetric inclusion process.

U. Yechiali, I. Eliazar, S. Reuveni, 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

From micro-correlations to macro-correlations

I. Eliazar, 2016 .

A pentatonic classification of extreme events

I. Eliazar, Morrell H. Cohen, M. Cohen, 2015 .

Power-law and exponential rank distributions: A panoramic Gibbsian perspective

I. Eliazar, 2015 .

Stochastic Flow Cascades

M. Shlesinger, I. Eliazar, 2012 .

Langevin unification of fractional motions

M. Shlesinger, I. Eliazar, 2012 .

Super-stable Poissonian structures

I. Eliazar, 2012 .

Anomalous is ubiquitous

J. Klafter, I. Eliazar, 2011 .

On the generation of anomalous and ultraslow diffusion

J. Klafter, I. Eliazar, 2011 .

On the invariance of spatially inhomogeneous relaxation processes

I. Eliazar, O. Bénichou, 2012 .

Inverted rank distributions: Macroscopic statistics, universality classes, and critical exponents

I. Eliazar, Morrell H. Cohen, 2014 .

Average is Over

I. Eliazar, 2018 .

Investigating equality: The Rényi spectrum

I. Eliazar, 2017 .

Limit laws for Zipf's law

I. Eliazar, 2011 .

On the structure and phase transitions of power-law Poissonian ensembles

I. Eliazar, G. Oshanin, 2012 .

Power-law connections: From Zipf to Heaps and beyond

I. Eliazar, Morrell H. Cohen, M. Cohen, 2012 .

Measuring statistical evenness: A panoramic overview

I. Eliazar, I. Sokolov, 2012 .

Paretian Poisson Processes

J. Klafter, I. Eliazar, 2008 .

Hierarchical socioeconomic fractality: The rich, the poor, and the middle-class

I. Eliazar, Morrell H. Cohen, M. Cohen, 2014 .

The sociogeometry of inequality: Part II

I. Eliazar, 2015 .

Zipf law: an extreme perspective

I. Eliazar, 2016 .

Lévy, Ornstein–Uhlenbeck, and Subordination: Spectral vs. Jump Description

J. Klafter, I. Eliazar, 2005 .

A growth–collapse model: Lévy inflow, geometric crashes, and generalized Ornstein–Uhlenbeck dynamics

J. Klafter, I. Eliazar, 2004 .

From Lognormal to Power

I. Eliazar, 2019 .

From Power to Lognormal

I. Eliazar, 2019 .

Universal Poisson-process limits for general random walks

I. Eliazar, 2018, Physica A: Statistical Mechanics and its Applications.

First Passage under Restart with Branching.

Shlomi Reuveni, Iddo Eliazar, Arnab K. Pal, 2018, Physical review letters.

A probabilistic walk up power laws

Iddo Eliazar, Joseph Klafter, J. Klafter, 2012 .

On the generation of anomalous diffusion

J. Klafter, I. Eliazar, 2009 .

Iddo Eliazar, I. Eliazar, 2005 .

The matchmaking paradox: a statistical explanation

I. Eliazar, I. Sokolov, 2010 .

Sampling from scale-free networks and the matchmaking paradox.

I M Sokolov, I. Eliazar, I. Sokolov, 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

On the fractal characterization of Paretian Poisson processes

I. Eliazar, I. Sokolov, 2012 .

On social inequality: Analyzing the rich-poor disparity

Iddo Eliazar, I. Eliazar, Morrell H. Cohen, 2014 .

Anomalous statistics of random relaxations in random environments.

I. Eliazar, R. Metzler, 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

The RARE model: A generalized approach to random relaxation processes in disordered systems.

I. Eliazar, R. Metzler, 2012, The Journal of chemical physics.

Markov stochasticity coordinates

I. Eliazar, 2017 .

Langevin dynamics, entropic crowding, and stochastic cloaking.

I. Eliazar, 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

Measuring statistical heterogeneity: The Pietra index

Igor M. Sokolov, Iddo Eliazar, I. Eliazar, 2010 .

The Poisson aggregation process

I. Eliazar, 2016 .

Noise cascades and Lévy correlations

M. Shlesinger, I. Eliazar, 2013 .

On the first passage of one-sided Lévy motions

J. Klafter, I. Eliazar, 2004 .

Poisson-process limit laws yield Gumbel max-min and min-max.

I. Eliazar, R. Metzler, S. Reuveni, 2019, Physical review. E.

Statistical universality and the method of Poissonian randomizations

I. Eliazar, 2013 .

Poissonian renormalizations, exponentials, and power laws.

I. Eliazar, 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

Geometric theory for Weibull's distribution.

I. Eliazar, 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

Poissonian steady states: from stationary densities to stationary intensities.

I. Eliazar, 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

On the generation of log-Lévy distributions and extreme randomness

J. Klafter, I. Eliazar, 2011 .

From Gini to Bonferroni to Tsallis: an inequality-indices trek

I. Eliazar, G. Giorgi, 2020 .

Correlation cascades of Lévy-driven random processes

J. Klafter, I. Eliazar, 2007 .

Benford’s law: A Poisson perspective

I. Eliazar, 2013 .

Gini characterization of extreme-value statistics

I. Eliazar, I. Sokolov, 2010 .

A Randomized Central Limit Theorem

J. Klafter, I. Eliazar, 2010 .

FAST TRACK COMMUNICATION

J. Klafter, I. Eliazar, 2007 .

Searching circular DNA strands

Iddo Eliazar, Tal Koren, Joseph Klafter, 2007 .

Scale-invariance of random populations: From Paretian to Poissonian fractality

J. Klafter, I. Eliazar, 2007 .

Universal Max-Min and Min-Max Statistics

I. Eliazar, R. Metzler, S. Reuveni, 2018, 1808.08423.

Poisson-process limit laws yield Gumbel max-min and min-max.

I. Eliazar, R. Metzler, S. Reuveni, 2018, Physical review. E.

Monitoring of Stochastic Particle Systems: Analysis and Optimization

U. Yechiali, I. Eliazar, U. Yechiali, 2008 .

Entropy of Sharp Restart

I. Eliazar, S. Reuveni, 2022, ArXiv.

First Passage Times

I. Eliazar, 2019 .

Black swans and dragon kings: A unified model

I. Eliazar, 2017 .

On the active periods of nonlinear Shot Noise

J. Klafter, I. Eliazar, 2006 .

On the extreme flights of one-sided Lévy processes

J. Klafter, I. Eliazar, 2003, cond-mat/0307308.

Diversity of Sharp Restart

I. Eliazar, S. Reuveni, 2022, 2207.09200.

Socioeconomic fractality: A Poisson-process approach

I. Eliazar, 2018, EPL (Europhysics Letters).

The oligarchic structure of Paretian Poisson processes

J. Klafter, I. Eliazar, 2008 .

Stochastic Flow Cascades

M. Shlesinger, I. Eliazar, 2011, Journal of Statistical Physics.

Statistical universality and the method of Poissonian randomizations

I. Eliazar, 2013, The European Physical Journal Special Topics.

Topography of chance.

I. Eliazar, Morrell H. Cohen, M. Cohen, 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

Econophysical anchoring of unimodal power-law distributions

I. Eliazar, Morrell H. Cohen, M. Cohen, 2013 .

On the physical interpretation of statistical data from black-box systems

I. Eliazar, Morrell H. Cohen, M. Cohen, 2013 .

Anomalous diffusion: fractional Brownian motion vs fractional Ito motion

Tal Kachman, Iddo Eliazar, Tal Kachman, 2021, Journal of Physics A: Mathematical and Theoretical.

Selfsimilar diffusions

I. Eliazar, 2021, Journal of Physics A: Mathematical and Theoretical.

Introduction

I. Eliazar, 2019, Understanding Complex Systems.

Entropy of sharp restart

I. Eliazar, S. Reuveni, 2022, Journal of Physics A: Mathematical and Theoretical.

I. Eliazar, 2021 .

Randomness, evenness, and Rényi’s index

I. Eliazar, 2011 .

Gumbel central limit theorem for max-min and min-max.

I. Eliazar, R. Metzler, S. Reuveni, 2019, Physical review. E.

Portfolio Risk and the Quantum Majorization of Correlation Matrices

I. Eliazar, C. Oosterlee, Andrea Fontanari, 2019, IMA Journal of Management Mathematics.

Five degrees of randomness

Iddo Eliazar, I. Eliazar, 2021 .

Investigating inequality: a Langevin approach

I. Eliazar, 2017, 1703.10360.

The growth statistics of Zipfian ensembles: Beyond Heaps’ law

Iddo Eliazar, I. Eliazar, 2011 .

The extremal independence problem

I. Eliazar, 2010 .

Power-law distributions: Beyond Paretian fractality

Iddo Eliazar, Joseph Klafter, J. Klafter, 2008, Risk Decis. Anal..

Fractal Poisson processes

J. Klafter, I. Eliazar, 2008 .

Spectral analysis of random source-medium-sink flows

I. Eliazar, 2008 .

Markov-breaking and the emergence of long memory in Ornstein–Uhlenbeck systems

J. Klafter, I. Eliazar, 2008 .

Nonlinear Shot Noise: From aggregate dynamics to maximal dynamics

J. Klafter, I. Eliazar, 2007 .

Fractal Lévy correlation cascades

J. Klafter, I. Eliazar, 2007 .

Temporal generation of power-law distributions: A universal ‘oligarchy mechanism’

J. Klafter, I. Eliazar, 2007 .

Nonlinear shot noise, memory systems, and all-time hit parades

Iddo Eliazar, Joseph Klafter, J. Klafter, 2006 .

Non-linear Shot Noise: Lévy, Noah, & Joseph

Iddo Eliazar, Joseph Klafter, J. Klafter, 2006 .

Beyond lognormal inequality: The Lorenz Flow Structure

I. Eliazar, 2016 .

The maximal process of nonlinear shot noise

J. Klafter, I. Eliazar, 2009 .

EXTREMES: A CONTINUOUS-TIME PERSPECTIVE

I. Eliazar, 2005, Probability in the Engineering and Informational Sciences.

On geometric record times

I. Eliazar, 2005 .

I. Eliazar, 2023, Journal of Physics A: Mathematical and Theoretical.

A tour of inequality

I. Eliazar, 2018 .

Mean-performance of sharp restart I: statistical roadmap

I. Eliazar, S. Reuveni, 2020, Journal of Physics A: Mathematical and Theoretical.

Sums

I. Eliazar, 2019, Understanding Complex Systems.

Brownian gas models for extreme-value laws

I. Eliazar, 2013 .

Universal statistics and control of random transport processes

J. Klafter, I. Eliazar, 2011 .

Randomized central limit theorems: A unified theory.

J. Klafter, I. Eliazar, 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

Universal self-similarity of propagating populations.

J. Klafter, I. Eliazar, 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

How random is a random vector

I. Eliazar, 2015 .

Growth and inequality

I. Eliazar, 2015 .

ON THE DISCRETE-TIME G/GI/∞ QUEUE*

Iddo Eliazar, I. Eliazar, 2008, Probability in the Engineering and Informational Sciences.

The M/G/∞ system revisited: finiteness, summability, long range dependence, and reverse engineering

Iddo Eliazar, I. Eliazar, 2007, Queueing Syst. Theory Appl..

On the nonlinear modeling of shot noise.

Iddo Eliazar, Joseph Klafter, J. Klafter, 2005, Proceedings of the National Academy of Sciences of the United States of America.

Diversity of sharp restart

I. Eliazar, S. Reuveni, 2022, Journal of Physics A: Mathematical and Theoretical.

From moving averages to anomalous diffusion: a Rényi-entropy approach

I. Eliazar, 2015 .

Intrinsic fractality of classic shot noise.

I. Eliazar, 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

Lorenzian analysis of infinite poissonian populations and the phenomena of Paretian ubiquity

Iddo Eliazar, I. Eliazar, 2007, VALUETOOLS.

Fractal probability laws.

J. Klafter, I. Eliazar, 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

Stochastic Ornstein–Uhlenbeck Capacitors

J. Klafter, I. Eliazar, 2005 .

Spatial gliding, temporal trapping, and anomalous transport

J. Klafter, I. Eliazar, 2004 .

Threshold Analysis

I. Eliazar, 2019, Understanding Complex Systems.

Mean-performance of sharp restart: II. Inequality roadmap

Shlomi Reuveni, Iddo Eliazar, I. Eliazar, 2021, Journal of Physics A: Mathematical and Theoretical.

Tail-behavior roadmap for sharp restart

Shlomi Reuveni, Iddo Eliazar, I. Eliazar, 2020, Journal of Physics A: Mathematical and Theoretical.

Randomly Timed Gated Queueing Systems

Uri Yechiali, Iddo Eliazar, U. Yechiali, 1998, SIAM J. Appl. Math..

From entropy-maximization to equality-maximization: Gauss, Laplace, Pareto, and Subbotin

I. Eliazar, 2014 .

Assessing the inherent uncertainty of one-dimensional diffusions.

I. Eliazar, M. Cohen, 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

A Langevin approach to the Log–Gauss–Pareto composite statistical structure

I. Eliazar, M. Cohen, 2012 .

Describing the indescribable: the stationary structures of transient Markovian dynamics

I. Eliazar, 2012 .

From shape to randomness: A classification of Langevin stochasticity

I. Eliazar, M. Cohen, 2013 .

Doubling an investment

I. Eliazar, 2004 .

Statistical resilience of random populations to random perturbations.

J. Klafter, I. Eliazar, 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

Shot noise displaying simultaneously the Noah and Joseph effects.

J. Klafter, I. Eliazar, 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

Growth-collapse and decay-surge evolutions, and geometric Langevin equations

J. Klafter, I. Eliazar, 2006 .

The misconception of mean-reversion

I. Eliazar, M. Cohen, 2012 .

Sociophysics of sexism: normal and anomalous petrie multipliers

I. Eliazar, 2015 .

A unified and universal explanation for Lévy laws and 1/f noises

Iddo Eliazar, Joseph Klafter, J. Klafter, 2009, Proceedings of the National Academy of Sciences.

Universal generation of statistical self-similarity: a randomized central limit theorem.

J. Klafter, I. Eliazar, 2009, Physical review letters.

Limit Laws

I. Eliazar, 2019, Understanding Complex Systems.

Universal generation of 1/f noises.

Iddo Eliazar, Joseph Klafter, J. Klafter, 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

Dynamics

I. Eliazar, 2019, Foundations of Space Dynamics.

Diversity of Poissonian populations.

I. Eliazar, I. Sokolov, 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

A geometric theory for Lévy distributions

Iddo Eliazar, I. Eliazar, 2014 .

The universal macroscopic statistics and phase transitions of rank distributions

I. Eliazar, M. Cohen, 2011 .

Diffusers, potential slides, and surmountability

J. Klafter, I. Eliazar, 2006 .

Econophysical visualization of Adam Smith’s invisible hand

I. Eliazar, M. Cohen, 2013 .

Weird Brownian motion

I. Eliazar, Maxence Arutkin, 2023, Journal of Physics A: Mathematical and Theoretical.

Setting the Stage

I. Eliazar, 2019, Understanding Complex Systems.

Investigating equality: The poverty and riches indices

I. Eliazar, 2016 .

Regular and anomalous diffusion: I. Foundations

I. Eliazar, 2024, Journal of Physics A: Mathematical and Theoretical.

Power Brownian motion

I. Eliazar, 2023, Journal of Physics A: Mathematical and Theoretical.

Beta Brownian motion

I. Eliazar, 2024, Journal of Physics A: Mathematical and Theoretical.

Spectral design of anomalous diffusion

I. Eliazar, 2023, Physica A: Statistical Mechanics and its Applications.

Facilitated diffusion in a crowded environment: from kinetics to stochastics

J. Klafter, I. Eliazar, Yasmine Meroz, 2009 .

Universal spectral densities: white and flicker noises

I. Eliazar, I. Sokolov, 2018, Journal of Physics A: Mathematical and Theoretical.

Sampling from scale-free networks and the matchmaking paradox.

I. Eliazar, Igor M. Sokolov, 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

First Passage under Restart with Branching.

Arnab K. Pal, I. Eliazar, S. Reuveni, 2018, Physical review letters.