Ralf Metzler

发表

Random Multi-Hopper Model. Super-Fast Random Walks on Graphs

Jean-Charles Delvenne, Ernesto Estrada, Naomichi Hatano, 2016, J. Complex Networks.

A self-avoiding walk with neural delays as a model of fixational eye movements

Ralf Engbert, Ralf Metzler, Carl J J Herrmann, 2017, Scientific Reports.

Levy Statistics and Anomalous Transport: Levy Flights and Subdiffusion

Aleksei V. Chechkin, Ralf Metzler, Joseph Klafter, 2007, Encyclopedia of Complexity and Systems Science.

First passage and arrival time densities for Lévy flights and the failure of the method of images

Aleksei V. Chechkin, Ralf Metzler, Joseph Klafter, 2003 .

Characterising stochastic motion in heterogeneous media driven by coloured non-Gaussian noise

Ralf Metzler, Yong Xu, Nicholas Mwilu Mutothya, 2021, Journal of Physics A: Mathematical and Theoretical.

Universality of delay-time averages for financial time series: analytical results, computer simulations, and analysis of historical stock-market prices

Ralf Metzler, Andrey G. Cherstvy, Stefan Ritschel, 2021, Journal of Physics: Complexity.

Bayesian inference with scaled Brownian motion

Ralf Metzler, Michael A. Lomholt, Jae-Hyung Jeon, 2022 .

From continuous-time random walks to the fractional Jeffreys equation: Solution and properties

Aleksei V. Chechkin, Ralf Metzler, Trifce Sandev, 2021 .

Distribution of first-reaction times with target regions on boundaries of shell-like domains

Ralf Metzler, Denis S Grebenkov, Gleb Oshanin, 2021, New Journal of Physics.

Quantitative analysis of single particle trajectories: mean maximal excursion method.

Ralf Jungmann, Ralf Metzler, Olivier Bénichou, 2010, Biophysical journal.

Anomalous diffusion in correlated continuous time random walks

Ralf Metzler, Vincent Tejedor, R. Metzler, 2009, 0910.1194.

Noisy continuous time random walks.

Ralf Metzler, Eli Barkai, Jae-Hyung Jeon, 2013, The Journal of chemical physics.

First passage time of N excluded-volume particles on a line.

Ralf Metzler, Kiran Pant, I. Sokolov, 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

Driven polymer translocation through nanopores: Slow-vs.-fast dynamics

Ralf Metzler, Tapio Ala-Nissila, T. Ala‐Nissila, 2009, 0911.4809.

Scaled Brownian motion: a paradoxical process with a time dependent diffusivity for the description of anomalous diffusion.

Ralf Metzler, Jae-Hyung Jeon, A. Chechkin, 2014, Physical chemistry chemical physics : PCCP.

Fractional relaxation processes and fractional rheological models for the description of a class of viscoelastic materials

Ralf Metzler, Theo F. Nonnenmacher, R. Metzler, 2003 .

Fractional Calculus Approach to the Statistical Characterization of Random Variables and Vectors

Mario Di Paola, Giulio Cottone, Ralf Metzler, 2009, 0911.3293.

Area coverage of radial Lévy flights with periodic boundary conditions.

Ralf Metzler, Babak Shokri, R. Metzler, 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

APPLICATIONS OF FRACTIONAL CALCULUS TECHNIQUES TO PROBLEMS IN BIOPHYSICS

Ralf Metzler, Theo F. Nonnenmacher, 2000 .

Velocity and displacement correlation functions for fractional generalized Langevin equations

Ralf Metzler, Trifce Sandev, Trifce Sandev, 2012 .

Boundary value problems for fractional diffusion equations

Ralf Metzler, Joseph Klafter, J. Klafter, 2000 .

Subdiffusion and weak ergodicity breaking in the presence of a reactive boundary.

Ralf Metzler, R. Metzler, M. A. Lomholt, 2007, Physical review letters.

Lévy Flights in a Steep Potential Well

Aleksei V. Chechkin, Ralf Metzler, Joseph Klafter, 2003, cond-mat/0306601.

Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative

Ralf Metzler, Trifce Sandev, Trifce Sandev, 2011, Journal of Physics A: Mathematical and Theoretical.

Fractional dynamics : recent advances

Ralf Metzler, Joseph Klafter, S. C. Lim, 2011 .

Deriving fractional Fokker-Planck equations from a generalised master equation

Ralf Metzler, Eli Barkai, Joseph Klafter, 1999 .

ANALYSIS OF SINGLE PARTICLE TRAJECTORIES: FROM NORMAL TO ANOMALOUS DIFFUSION ∗

Weihua Deng, Ralf Metzler, Eli Barkai, 2009 .

Barrier crossing of a Lévy flight

Aleksei V. Chechkin, Ralf Metzler, Joseph Klafter, 2005 .

FRACTIONAL DIFFUSION, WAITING-TIME DISTRIBUTIONS, AND CATTANEO-TYPE EQUATIONS

Ralf Metzler, Theo F. Nonnenmacher, R. Metzler, 1998 .

First passage and first hitting times of Lévy flights and Lévy walks

Rainer Klages, Ralf Metzler, Michael A. Lomholt, 2019, New Journal of Physics.

First passages in bounded domains: when is the mean first passage time meaningful?

Ralf Metzler, Carlos Mejía-Monasterio, Gleb Oshanin, 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

Non-Gaussian, non-ergodic, and non-Fickian diffusion of tracers in mucin hydrogels.

Ralf Metzler, Andrey G. Cherstvy, Samudrajit Thapa, 2019, Soft matter.

Towards the molecular workshop: entropy-driven designer molecules, entropy activation, and nanomechanical devices

Ralf Metzler, Andreas Hanke, 2002 .

Physical pictures of transport in heterogeneous media: Advection‐dispersion, random‐walk, and fractional derivative formulations

Ralf Metzler, Brian Berkowitz, Joseph Klafter, 2002, cond-mat/0202327.

ON THE RIEMANN-LIOUVILLE FRACTIONAL CALCULUS AND SOME RECENT APPLICATIONS

Ralf Metzler, Theo F. Nonnenmacher, R. Metzler, 1995 .

Optimal target search on a fast-folding polymer chain with volume exchange.

Ralf Metzler, Tobias Ambjörnsson, Michael A Lomholt, 2005, Physical review letters.

Distance matters: the impact of gene proximity in bacterial gene regulation.

Ralf Metzler, Otto Pulkkinen, R. Metzler, 2013, Physical review letters.

Stationary states of non-linear oscillators driven by Lévy noise

Aleksei V. Chechkin, Ralf Metzler, Joseph Klafter, 2002 .

Single DNA conformations and biological function

Ralf Metzler, Yongli Zhang, R. Metzler, 2006, physics/0609139.

Power spectral density of a single Brownian trajectory: what one can and cannot learn from it

Ralf Metzler, Diego Krapf, Alessio Squarcini, 2018, 1801.02986.

NMR Studies of Anomalous Diffusion in Biological Tissues: Experimental Observation of Lévy Stable Processes

Ralf Metzler, Theo F. Nonnenmacher, R. Metzler, 1998 .

First-passage phenomena and their applications

Sidney Redner, Ralf Metzler, Gleb Oshanin, 2014 .

The fractional Fokker-Planck equation: dispersive transport in an external force field

Ralf Metzler, Joseph Klafter, J. Klafter, 2000 .

Generalized facilitated diffusion model for DNA-binding proteins with search and recognition states.

Ralf Metzler, Maximilian Bauer, R. Metzler, 2012, Biophysical journal.

Universality classes for asymptotic behavior of relaxation processes in systems with dynamical disorder: Dynamical generalizations of stretched exponential

Michael C. Mackey, Ralf Metzler, Theo F. Nonnenmacher, 1996 .

Anomalous Diffusion and Fractional Transport Equations

Ralf Metzler, Jae-Hyung Jeon, R. Metzler, 2011 .

Multiple time scales for dispersive kinetics in early events of peptide folding

Martin Volk, Ralf Metzler, Joshua Jortner, 1998 .

FRACTIONAL DIFFUSION AND LEVY STABLE PROCESSES

Bruce J. West, Ralf Metzler, Paolo Grigolini, 1997 .

Diffusion of finite-size particles in two-dimensional channels with random wall configurations.

Ralf Metzler, Maximilian Bauer, A. Godec, 2013, Physical chemistry chemical physics : PCCP.

Barrier crossing driven by Lévy noise: universality and the role of noise intensity.

Ralf Metzler, Joseph Klafter, Aleksei V Chechkin, 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

Bayesian analysis of single-particle tracking data using the nested-sampling algorithm: maximum-likelihood model selection applied to stochastic-diffusivity data.

Ralf Metzler, Michael A. Lomholt, Andrey G. Cherstvy, 2018, Physical chemistry chemical physics : PCCP.

And did he search for you, and could not find you?

Ralf Metzler, Bram van den Broek, Michael A. Lomholt, 2009 .

Target search of N sliding proteins on a DNA.

Ralf Metzler, Kiran Pant, I. Sokolov, 2005, Biophysical journal.

Diffusion mechanisms of localised knots along a polymer

Igor M. Sokolov, Ralf Metzler, Robert Austin, 2006, cond-mat/0609514.

Quantifying supercoiling-induced denaturation bubbles in DNA

Giovanni Dietler, Ralf Metzler, Konrad J. Karczewski, 2012 .

How Molecular Motors Work in the Crowded Environment of Living Cells: Coexistence and Efficiency of Normal and Anomalous Transport

Ralf Metzler, Igor Goychuk, R. Metzler, 2014, PloS one.

Marcin Magdziarz, Ralf Metzler, Wladyslaw Szczotka, 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

Natural cutoff in Lévy flights caused by dissipative nonlinearity.

Ralf Metzler, Joseph Klafter, J. Klafter, 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

Brownian motion and beyond: first-passage, power spectrum, non-Gaussianity, and anomalous diffusion

Ralf Metzler, R. Metzler, 2019, Journal of Statistical Mechanics: Theory and Experiment.

Breathing dynamics in heteropolymer DNA.

Suman K Banik, Ralf Metzler, Tobias Ambjörnsson, 2006, Biophysical journal.

Diffusion of finite-size particles in channels with random walls

Ralf Metzler, Aljaz Godec, A. Godec, 2013, 1312.2020.

Non-uniqueness of the first passage time density of Lévy random processes

Igor M. Sokolov, Ralf Metzler, I. Sokolov, 2004 .

From stretched exponential to inverse power-law: fractional dynamics, Cole-Cole relaxation processes, and beyond

Ralf Metzler, Joseph Klafter, J. Klafter, 2002 .

Lévy flights do not always optimize random blind search for sparse targets

Aleksei V. Chechkin, Ralf Metzler, Vladimir V. Palyulin, 2014, Proceedings of the National Academy of Sciences.

The advantage of L\'evy strategies in intermittent search processes

Ralf Metzler, Michael A. Lomholt, Tal Koren, 2007 .

ANOMALOUS TRANSPORT IN EXTERNAL FIELDS : CONTINUOUS TIME RANDOM WALKS AND FRACTIONAL DIFFUSION EQUATIONS EXTENDED

Igor M. Sokolov, Ralf Metzler, Joseph Klafter, 1998 .

Correlation functions for the fractional generalized Langevin equation in the presence of internal and external noise

Ralf Metzler, Trifce Sandev, Trifce Sandev, 2014 .

Leapover lengths and first passage time statistics for Lévy flights.

Ralf Metzler, Tal Koren, Joseph Klafter, 2007, Physical review letters.

Fractional Calculus: An Introduction for Physicists

Ralf Metzler, R. Metzler, 2012 .

Fractional diffusion: exact representations of spectral functions

Ralf Metzler, Theo F. Nonnenmacher, R. Metzler, 1997 .

Bi-asymptotic fractals: Fractals between lower and upper bounds

Ralf Metzler, Theo F. Nonnenmacher, R. Metzler, 1998 .

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

Ralf Metzler, Jae-Hyung Jeon, R. Metzler, 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

Bifurcation, bimodality, and finite variance in confined Lévy flights.

Ralf Metzler, Joseph Klafter, J. Klafter, 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

Ralf Metzler, Jae-Hyung Jeon, R. Metzler, 2010 .

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

Ralf Metzler, Eli Barkai, Jae-Hyung Jeon, 2010, Physical chemistry chemical physics : PCCP.

Diffusion on random-site percolation clusters: theory and NMR microscopy experiments with model objects.

Ralf Metzler, Rainer Kimmich, Andreas Klemm, 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

Master equation approach to DNA breathing in heteropolymer DNA.

Suman K Banik, Ralf Metzler, Tobias Ambjörnsson, 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

Distributed-order diffusion equations and multifractality: Models and solutions.

Holger Kantz, Ralf Metzler, Trifce Sandev, 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

Accelerating Brownian motion: A fractional dynamics approach to fast diffusion

Ralf Metzler, Joseph Klafter, J. Klafter, 2000 .

Encounter distribution of two random walkers on a finite one-dimensional interval

Ralf Metzler, Olivier Bénichou, Raphaël Voituriez, 2011 .