ArticlePhysical review. E, Statistical, nonlinear, and soft matter physics2012
Phase transitions in the first-passage time of scale-invariant correlated processes.
Article in Physical review. E, Statistical, nonlinear, and soft matter physics, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
6 citing papers in PubMed.
- Detection of Significant Seismic Quiescence Patterns in the Mexican Subduction Zone Using Extended Schreider Algorithms.Entropy (Basel, Switzerland) · 2025Article
- On the Validity of Detrended Fluctuation Analysis at Short Scales.Entropy (Basel, Switzerland) · 2021Article
- Identifying the Occurrence Time of the Deadly Mexico M8.2 Earthquake on 7 September 2017.Entropy (Basel, Switzerland) · 2019Article
- Magnitude and sign of long-range correlated time series: Decomposition and surrogate signal generation.Physical review. E · 2016Article
- Functional significance of complex fluctuations in brain activity: from resting state to cognitive neuroscience.Frontiers in systems neuroscience · 2014Article
- Time scales in cognitive neuroscience.Frontiers in physiology · 2013Article
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
4 authors.
Funding
Abstract
A key quantity describing the dynamics of complex systems is the first-passage time (FPT). The statistical properties of FPT depend on the specifics of the underlying system dynamics. We present a unified approach to account for the diversity of statistical behaviors of FPT observed in real-world systems. We find three distinct regimes, separated by two transition points, with fundamentally different behavior for FPT as a function of increasing strength of the correlations in the system dynamics: stretched exponential, power-law, and saturation regimes. In the saturation regime, the average length of FPT diverges proportionally to the system size, with important implications for understanding electronic delocalization in one-dimensional correlated-disordered systems.
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Registered trials
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