output
19922026
most citedCatastrophic cascade of failures in interdependent networks

4.5k citations

Showing 2018 · cond-mat.stat-mechShow all

11 papers · 2 filters

cond-mat.stat-mech2018★ 59 cited

Theoretical foundation of detrending methods for fluctuation analysis such as detrended fluctuation analysis and detrending moving average

Marc Höll, Ken Kiyono, Holger Kantz

We present a general framework of detrending methods of fluctuation analysis of which detrended fluctuation analysis (DFA) is one prominent example. Another more recently introduce…

cond-mat.stat-mech2018★ 13 cited

Probabilistic properties of detrended fluctuation analysis for Gaussian processes

G. Sikora, M. Hoell, A. Wylomanska +3

The detrended fluctuation analysis (DFA) is one of the most widely used tools for the detection of long-range correlations in time series. Although DFA has found many interesting a…

cond-mat.stat-mech2018★ 35 cited

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…

cond-mat.stat-mech2018★ 99 cited

Infinite Ergodic Theory for Heterogeneous Diffusion Processes

N. Leibovich, E. Barkai

We show the relation between processes which are modeled by a Langevin equation with multiplicative noise and infinite ergodic theory. We concentrate on a spatially dependent diffu…

cond-mat.stat-mech2018★ 732 cited

Measurement-Induced Phase Transitions in the Dynamics of Entanglement

Brian Skinner, Jonathan Ruhman, Adam Nahum

We define dynamical universality classes for many-body systems whose unitary evolution is punctuated by projective measurements. In cases where such measurements occur randomly at…

cond-mat.stat-mech2018★ 3 cited

Unusual changeover in the transition nature of local-interaction Potts models

Nir Schreiber, Reuven Cohen, Simi Haber +2

A combinatorial approach is used to study the critical behavior of a -state Potts model with a round-the-face interaction. Using this approach it is shown that the model exhibit…

cond-mat.stat-mech2018★ 4 cited

Spontaneous repulsion in the reaction on coupled networks

Filippos Lazaridis, Bnaya Gross, Michael Maragakis +4

We study the transient dynamics of an process on a pair of randomly coupled networks, where reactants are initially separated. We find that, for sufficiently sm…

cond-mat.stat-mech2018★ 55 cited

From Non-normalizable Boltzmann-Gibbs statistics to infinite-ergodic theory

Erez Aghion, David A. Kessler, Eli Barkai

We study a particle immersed in a heat bath, in the presence of an external force which decays at least as rapidly as , for example a particle interacting with a surface throu…

cond-mat.stat-mech2018★ 98 cited

The Single Big Jump Principle in Physical Modelling

Alessandro Vezzani, Eli Barkai, Raffaella Burioni

The big jump principle is a well established mathematical result for sums of independent and identically distributed random variables extracted from a fat tailed distribution. It s…

cond-mat.stat-mech2018★ 19 cited

The spectral dimension controls the decay of the quantum first detection probability

Felix Thiel, David A. Kessler, Eli Barkai

We consider a quantum system that is initially localized at and that is repeatedly projectively probed with a fixed period at position . We ask for the probabilit…

cond-mat.stat-mech2018★ 22 cited

Non-self-averaging behaviors and ergodicity in quenched trap model with finite system size

Takuma Akimoto, Eli Barkai, Keiji Saito

Tracking tracer particles in heterogeneous environments plays an important role in unraveling the material properties. These heterogeneous structures are often static and depend on…