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New journal of physics, ISSN 1367-2630, 2016, Volume 18, Issue 1, p. 013042
.... These transition positions are, however, correlated and follow scaling laws which arise from discrete scale invariance (DSI... 
discrete scale invariance | explosive percolation | networks | non self-averaging | PHYSICS, MULTIDISCIPLINARY | Scale invariance | Percolation | Order parameters | Invariance | Rescaling | Scaling laws | Physics - Disordered Systems and Neural Networks
Journal Article
Fortschritte der Physik, ISSN 0015-8208, 2018, Volume 66, Issue 3, pp. 1700093 - n/a
.... We will also comment on the prospects of finding other holographic bottom up toy models which allow for solutions with discrete scale invariance or scale invariance without conformal invariance in the future... 
discrete scale invariance | AdS/CFT‐correspondence | AdS/CFT-correspondence | RENORMALIZATION-GROUP | GRAVITATIONAL COLLAPSE | PHYSICS, MULTIDISCIPLINARY | BEHAVIOR | BLACK-HOLE | PRECURSORS | CRITICAL EXPONENTS
Journal Article
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2018, Volume 51, Issue 43, p. 435401
We consider the most general scale invariant radial Hamiltonian allowing for anisotropic scaling between space and time... 
discrete | phase | limit cycle | scale | invariance | quantum | transition | UNIVERSALITY | STATES | PHYSICS, MULTIDISCIPLINARY | ANOMALIES | MODEL | PHYSICS, MATHEMATICAL | ORDER | LINE | TRANSITIONS | RENORMALIZATION
Journal Article
Geophysical Research Letters, ISSN 0094-8276, 07/2011, Volume 38, Issue 13, p. n/a
Self‐similar systems are characterized by continuous scale invariance and, in response, the existence of power laws... 
time series analysis | magnetic storms | discrete scale invariance | forecasting | Magnetism | Mathematics | Atmospheric sciences | Time series analysis | Nonlinear systems | Geophysics
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 2007, Volume 380, Issue 1-2, pp. 601 - 610
.... These oscillations are related to a discrete scale invariance of certain graphs, that is, there are preferred scaling ratios suggesting a hierarchical distribution of node degrees... 
Log periodic oscillations | Scale free graphs | Discrete scale invariance | DISTRIBUTIONS | scale free graphs | COMPLEX | PHYSICS, MULTIDISCIPLINARY | discrete scale invariance | log periodic oscillations | Physics - Disordered Systems and Neural Networks
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 2009, Volume 388, Issue 13, pp. 2623 - 2639
Journal Article
Journal of the Royal Society Interface, ISSN 1742-5689, 05/2016, Volume 13, Issue 118, p. 20160044
Journal Article
FUNDAMENTA INFORMATICAE, ISSN 0169-2968, 2020, Volume 172, Issue 2, pp. 129 - 142
In this paper, we propose two strategies of reducing the amount of data needed for binary tomographic reconstructions. We study how the direction dependency... 
projection selection | MATHEMATICS, APPLIED | informative angles | scale invariance | direction dependency | resolution invariance | COMPUTER SCIENCE, SOFTWARE ENGINEERING | binary tomography | DISCRETE | COMPLEXITY | SETS | DYNAMIC ANGLE SELECTION | reconstruction | Scale invariance | Forecasting
Journal Article
The journal of high energy physics, ISSN 1029-8479, 2018, Volume 2018, Issue 11, pp. 1 - 19
Journal Article
Physica A, ISSN 0378-4371, 2014, Volume 413, pp. 53 - 58
....•Complex nonextensivity parameter and heat capacity.•Scale invariance as a result of processes with discrete steps. 
Complex heat capacity | Scale invariance | Log-periodic oscillation | FRACTAL DIMENSIONS | PHYSICS, MULTIDISCIPLINARY | STATISTICS | DISCRETE-SCALE-INVARIANCE | LOG-PERIODIC OSCILLATIONS | HEAT | SELF-SIMILARITY | FLUCTUATIONS | CALORIMETRY | BIASED DIFFUSION | THERMOSTATISTICS
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 03/2015, Volume 421, pp. 161 - 170
The de-trended cross-correlation analysis (DCCA) is converted to a new form, which turns out to be a periodic function modulated power-law, to evaluate discrete-scale long-range cross-correlation between time series... 
Stock markets | Discrete-scale long-range correlation | De-trended cross-correlation analysis | ORGANIZATION | PHYSICS, MULTIDISCIPLINARY | BEHAVIOR | MARKETS | CRASHES | Analysis | Financial markets | Periodic functions | Mathematical analysis | Time series | Oscillations | Markets | Raw materials | Statistical mechanics | Distributing | Modulators
Journal Article
Reports on progress in physics, ISSN 1361-6633, 2017, Volume 80, Issue 5, p. 056001
Journal Article
by Wang, HC and Liu, YZ and Liu, YJ and Xi, CY and Wang, JF and Liu, J and Wang, Y and Li, L and Lau, SP and Tian, ML and Yan, JQ and Mandrus, D and Dai, JY and Liu, HW and Xie, XC and Wang, J
NATIONAL SCIENCE REVIEW, ISSN 2095-5138, 09/2019, Volume 6, Issue 5, pp. 914 - 920
Discrete-scale invariance (DSI) is a phenomenon featuring intriguing log-periodicity that can be rarely observed in quantum systems... 
magnetoresistance | Hall resistance | topological materials | MULTIDISCIPLINARY SCIENCES | Dirac materials | log-periodic oscillations | discrete-scale invariance
Journal Article
Physics reports, ISSN 0370-1573, 2014, Volume 536, Issue 2, pp. 41 - 74
Power laws and distributions with heavy tails are common features of many complex systems. Examples are the distribution of earthquake magnitudes, solar flare... 
COHERENT-NOISE | FREE NETWORKS | SANDPILE | BRANCHING-PROCESSES | DRAGON-KINGS | PHYSICS, MULTIDISCIPLINARY | LOCAL-FIELD POTENTIALS | HIGHLY OPTIMIZED TOLERANCE | NEURONAL AVALANCHES | DISCRETE-SCALE-INVARIANCE | MODEL
Journal Article