48 citations · 168 across the 7 of their papers we have counts for
8 papers
Renewal theory with fat tailed distributed sojourn times: typical versus rare
Wanli Wang, Johannes H. P. Schulz, Weihua Deng +1
Renewal processes with heavy-tailed power law distributed sojourn times are commonly encountered in physical modelling and so typical fluctuations of observables of interest have b…
Fluctuations around equilibrium laws in ergodic continuous-time random walks
Johannes H. P. Schulz, Eli Barkai
We study occupation time statistics in ergodic continuous-time random walks. Under thermal detailed balance conditions, the average occupation time is given by the Boltzmann-Gibbs…
Aging renewal theory and application to random walks
Johannes H. P. Schulz, Eli Barkai, Ralf Metzler
The versatility of renewal theory is owed to its abstract formulation. Renewals can be interpreted as steps of a random walk, switching events in two-state models, domain crossings…
Correlated continuous-time random walks: combining scale-invariance with long-range memory for spatial and temporal dynamics
Johannes HP Schulz, Aleksei V Chechkin, Ralf Metzler
Standard continuous time random walk (CTRW) models are renewal processes in the sense that at each jump a new, independent pair of jump length and waiting time are chosen. Globally…
Transient ageing in fractional Brownian and Langevin equation motion
Jochen Kursawe, Johannes Schulz, Ralf Metzler
Stochastic processes driven by stationary fractional Gaussian noise, that is, fractional Brownian motion and fractional Langevin equation motion, are usually considered to be ergod…
Area coverage of radial Levy flights with periodic boundary conditions
Mahsa Vahabi, Johannes H. P. Schulz, Babak Shokri +1
We consider the time evolution of two-dimensional Levy flights in a finite area with periodic boundary conditions. From simulations we show that the fractal path dimension d_f and…
Ageing effects in single particle trajectory averages
Johannes Schulz, Eli Barkai, Ralf Metzler
We study time averages of single particle trajectories in scale free anomalous diffusion processes, in which the measurement starts at some time t_a>0 after initiation of the proce…
Current reversal and exclusion processes with history-dependent random walks
Johannes H. P. Schulz, Anatoly B. Kolomeisky, Erwin Frey
A class of exclusion processes in which particles perform history-dependent random walks is introduced, stimulated by dynamic phenomena in some biological and artificial systems. T…