Search Results for author: Ralf Metzler

Found 11 papers, 0 papers with code

A general mechanism for enhancer-insulator pairing reveals heterogeneous dynamics in long-distant 3D gene regulation

no code implementations14 Feb 2024 Lucas Hedström, Ralf Metzler, Ludvig Lizana

Cells regulate fates and complex body plans using spatiotemporal signaling cascades that alter gene expression.


Multifractal-spectral features enhance classification of anomalous diffusion

no code implementations15 Jan 2024 Henrik Seckler, Ralf Metzler, Damian G. Kelty-Stephen, Madhur Mangalam

To accomplish this, we generate extensive datasets comprising $10^6$ trajectories from these five anomalous diffusion models and extract multiple multifractal spectra from each trajectory.


Target search on DNA -- effect of coiling

no code implementations10 Dec 2023 Michael A. Lomholt, Ralf Metzler

Some proteins can find their targets on DNA faster than by pure diffusion in the three-dimensional cytoplasm, through the process of facilitated diffusion: They can loosely bind to DNA and temporarily slide along it, thus being guided by the DNA molecule itself to the target.

Machine-Learning Solutions for the Analysis of Single-Particle Diffusion Trajectories

no code implementations18 Aug 2023 Henrik Seckler, Janusz Szwabinski, Ralf Metzler

Single-particle traces of the diffusive motion of molecules, cells, or animals are by-now routinely measured, similar to stochastic records of stock prices or weather data.

Time Series

Ergodic characterization of non-ergodic anomalous diffusion processes

no code implementations19 Feb 2023 Madhur Mangalam, Ralf Metzler, Damian G. Kelty-Stephen

Canonical characterization techniques that rely upon mean squared displacement ($\mathrm{MSD}$) break down for non-ergodic processes, making it challenging to characterize anomalous diffusion from an individual time-series measurement.

Time Series Time Series Analysis

Preface: Characterisation of Physical Processes from Anomalous Diffusion Data

no code implementations2 Jan 2023 Carlo Manzo, Gorka Muñoz-Gil, Giovanni Volpe, Miguel Angel Garcia-March, Maciej Lewenstein, Ralf Metzler

Preface to the special issue "Characterisation of Physical Processes from Anomalous Diffusion Data" associated with the Anomalous Diffusion Challenge ( https://andi-challenge. org ) and published in Journal of Physics A: Mathematical and Theoretical.

The fate of the American dream: A first passage under resetting approach to income dynamics

no code implementations26 Dec 2022 Petar Jolakoski, Arnab Pal, Trifce Sandev, Ljupco Kocarev, Ralf Metzler, Viktor Stojkoski

Detailed knowledge of individual income dynamics is crucial for investigating the existence of the American dream: Are we able to improve our income status during our working life?

Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity

no code implementations4 Sep 2021 Viktor Stojkoski, Petar Jolakoski, Arnab Pal, Trifce Sandev, Ljupco Kocarev, Ralf Metzler

We explore the role of non-ergodicity in the relationship between income inequality, the extent of concentration in the income distribution, and mobility, the feasibility of an individual to change their position in the income distribution.

Generalised geometric Brownian motion: Theory and applications to option pricing

no code implementations31 Oct 2020 Viktor Stojkoski, Trifce Sandev, Lasko Basnarkov, Ljupco Kocarev, Ralf Metzler

Classical option pricing schemes assume that the value of a financial asset follows a geometric Brownian motion (GBM).

Towards a full quantitative description of single-molecule reaction kinetics in biological cells

no code implementations27 Nov 2018 Denis S. Grebenkov, Ralf Metzler, Gleb Oshanin

The first-passage time (FPT), i. e., the moment when a stochastic process reaches a given threshold value for the first time, is a fundamental mathematical concept with immediate applications.

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

no code implementations24 Dec 2016 Ernesto Estrada, Jean-Charles Delvenne, Naomichi Hatano, José L. Mateos, Ralf Metzler, Alejandro P. Riascos, Michael T. Schaub

Stated differently, for small parameter values the multi-hopper explores a general graph as fast as possible when compared to a random walker on a full graph.

Physics and Society Statistical Mechanics Social and Information Networks Mathematical Physics Mathematical Physics Probability

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