List of works - Aleksander Weron

Accelerating and retarding anomalous diffusion: A Bernstein function approach

scientific article published on 01 May 2020

An efficient algorithm for extracting the magnitude of the measurement error for fractional dynamics.

scientific article

Anomalous diffusion with transient subordinators: a link to compound relaxation laws.

scientific article published in February 2014

Anomalous diffusion: Testing ergodicity breaking in experimental data ⬇️

scientific article published on November 29, 2011

Classification of particle trajectories in living cells: Machine learning versus statistical testing hypothesis for fractional anomalous diffusion

scientific article published on 01 September 2020

Competition between subdiffusion and Lévy flights: a Monte Carlo approach.

scientific article published on 7 May 2007

Complete description of all self-similar models driven by Lévy stable noise

scientific article published on 12 January 2005

Diffusion and relaxation controlled by tempered alpha-stable processes

scientific article published on 11 November 2008

Equivalence of the fractional Fokker-Planck and subordinated Langevin equations: the case of a time-dependent force.

scientific article published on 18 November 2008

Ergodicity breaking on the neuronal surface emerges from random switching between diffusive states

scientific article

Ergodicity testing for anomalous diffusion: small sample statistics

scientific article

Ergodicity testing using an analytical formula for a dynamical functional of alpha-stable autoregressive fractionally integrated moving average processes

scientific article published on 19 April 2016

Estimating the anomalous diffusion exponent for single particle tracking data with measurement errors - An alternative approach

scientific article

Fractional Fokker-Planck dynamics: stochastic representation and computer simulation.

scientific article published on 26 January 2007

Fractional Lévy stable motion can model subdiffusive dynamics ⬇️

scientific article published on August 31, 2010

Fractional brownian motion versus the continuous-time random walk: a simple test for subdiffusive dynamics.

scientific article published on 30 October 2009

Fractional process as a unified model for subdiffusive dynamics in experimental data ⬇️

scientific article published on October 17, 2012

From physical linear systems to discrete-time series. A guide for analysis of the sampled experimental data ⬇️

scientific article

Generalization of the Khinchin Theorem to Lévy Flights ⬇️

scientific article published on December 23, 2010

Guidelines for the fitting of anomalous diffusion mean square displacement graphs from single particle tracking experiments

scientific article published on 13 February 2015

Identifying diffusive motions in single-particle trajectories on the plasma membrane via fractional time-series models

scientific article published on 01 January 2019

Identifying ergodicity breaking for fractional anomalous diffusion: Criteria for minimal trajectory length.

scientific article published on 22 November 2016

Inhomogeneous membrane receptor diffusion explained by a fractional heteroscedastic time series model

scientific article published on 01 February 2019

Look at Tempered Subdiffusion in a Conjugate Map: Desire for the Confinement

scientific article published on 18 November 2020

Mathematical Models for Dynamics of Molecular Processes in Living Biological Cells. A Single Particle Tracking Approach

scientific article published in 2018

Modeling of subdiffusion in space-time-dependent force fields beyond the fractional Fokker-Planck equation

scientific article published on 20 March 2008

Numerical approach to the fractional Klein-Kramers equation

scientific article published on 26 December 2007

Overshooting and undershooting subordination scenario for fractional two-power-law relaxation responses.

scientific article

Single-molecule imaging reveals receptor-G protein interactions at cell surface hot spots.

scientific article

Solar X-ray variability in terms of a fractional heteroskedastic time series model

scientific article

Statistical testing approach for fractional anomalous diffusion classification

scientific article published on 01 April 2019

Stochastic models for bidding strategies on oligopoly electricity market

Transient anomalous diffusion with Prabhakar-type memory

scientific article published on 01 July 2018

Uniform Contraction-Expansion Description of Relative Centromere and Telomere Motion

scientific article

Universal algorithm for identification of fractional Brownian motion. A case of telomere subdiffusion

scientific article published on November 2012

List of works by Aleksander Weron

Accelerating and retarding anomalous diffusion: A Bernstein function approach

An efficient algorithm for extracting the magnitude of the measurement error for fractional dynamics.

Anomalous diffusion with transient subordinators: a link to compound relaxation laws.

Anomalous diffusion: Testing ergodicity breaking in experimental data ⬇️

Classification of particle trajectories in living cells: Machine learning versus statistical testing hypothesis for fractional anomalous diffusion

Competition between subdiffusion and Lévy flights: a Monte Carlo approach.

Complete description of all self-similar models driven by Lévy stable noise

Diffusion and relaxation controlled by tempered alpha-stable processes

Equivalence of the fractional Fokker-Planck and subordinated Langevin equations: the case of a time-dependent force.

Ergodicity breaking on the neuronal surface emerges from random switching between diffusive states

Ergodicity testing for anomalous diffusion: small sample statistics

Ergodicity testing using an analytical formula for a dynamical functional of alpha-stable autoregressive fractionally integrated moving average processes

Estimating the anomalous diffusion exponent for single particle tracking data with measurement errors - An alternative approach

Fractional Fokker-Planck dynamics: stochastic representation and computer simulation.

Fractional Lévy stable motion can model subdiffusive dynamics ⬇️

Fractional brownian motion versus the continuous-time random walk: a simple test for subdiffusive dynamics.

Fractional process as a unified model for subdiffusive dynamics in experimental data ⬇️

From physical linear systems to discrete-time series. A guide for analysis of the sampled experimental data ⬇️

Generalization of the Khinchin Theorem to Lévy Flights ⬇️

Guidelines for the fitting of anomalous diffusion mean square displacement graphs from single particle tracking experiments

Identifying diffusive motions in single-particle trajectories on the plasma membrane via fractional time-series models

Identifying ergodicity breaking for fractional anomalous diffusion: Criteria for minimal trajectory length.

Inhomogeneous membrane receptor diffusion explained by a fractional heteroscedastic time series model

Look at Tempered Subdiffusion in a Conjugate Map: Desire for the Confinement

Mathematical Models for Dynamics of Molecular Processes in Living Biological Cells. A Single Particle Tracking Approach

Modeling of subdiffusion in space-time-dependent force fields beyond the fractional Fokker-Planck equation

Numerical approach to the fractional Klein-Kramers equation

Overshooting and undershooting subordination scenario for fractional two-power-law relaxation responses.

Single-molecule imaging reveals receptor-G protein interactions at cell surface hot spots.

Solar X-ray variability in terms of a fractional heteroskedastic time series model

Statistical testing approach for fractional anomalous diffusion classification

Stochastic models for bidding strategies on oligopoly electricity market

Transient anomalous diffusion with Prabhakar-type memory

Uniform Contraction-Expansion Description of Relative Centromere and Telomere Motion

Universal algorithm for identification of fractional Brownian motion. A case of telomere subdiffusion