no code implementations • 14 Feb 2024 • Lucas Hedström, Ralf Metzler, Ludvig Lizana
Cells regulate fates and complex body plans using spatiotemporal signaling cascades that alter gene expression.
no code implementations • 15 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.
no code implementations • 10 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.
no code implementations • 18 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.
no code implementations • 19 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.
no code implementations • 2 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.
no code implementations • 26 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?
no code implementations • 4 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.
no code implementations • 31 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).
no code implementations • 27 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.
no code implementations • 24 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