115 citations · 602 across the 20 of their papers we have counts for
4 papers · 1 filter
Using Hilbert transform and classical chains to simulate quantum walks
Daxing Xiong, Felix Thiel, Eli Barkai
We propose a simulation strategy which uses a classical device of linearly coupled chain of springs to simulate quantum dynamics, in particular the quantum walks. Through this stra…
Time averages in continuous time random walks
Felix Thiel, Igor M. Sokolov
We investigate the time averaged squared displacement (TASD) of continuous time random walks with respect to the number of steps , which the random walker performed during the d…
Effective medium approximation for lattice random walks with long-range jumps
Felix Thiel, Igor M. Sokolov
We consider the random walk on a lattice with random transition rates and arbitrarily long-range jumps. We employ Bruggeman's effective medium approximation (EMA) to find the disor…
Non-spectral modes and how to find them in the Ornstein-Uhlenbeck process with white μ-stable noise
F. Thiel, I. M. Sokolov, E. B. Postnikov
We consider the Ornstein-Uhlenbeck process with a broad initial probability distribution (Levy distribution), which exhibits so-called non-spectral modes. The relaxation of such mo…