scholarly journals Crossover trimers connecting continuous and discrete scaling regimes

2012 ◽  
Vol 86 (6) ◽  
Author(s):  
Shimpei Endo ◽  
Pascal Naidon ◽  
Masahito Ueda
Keyword(s):  
Discrete Scaling

Discrete Scaling in Earthquake Precursory Phenomena: Evidence in the Kobe Earthquake, Japan

1996 ◽  
Vol 6 (10) ◽  
pp. 1391-1402 ◽  
Author(s):  
Anders Johansen ◽  
Didier Sornette ◽  
Hiroshi Wakita ◽  
Urumu Tsunogai ◽  
William I. Newman ◽  
...  
Keyword(s):  
Kobe Earthquake ◽  
Discrete Scaling ◽  
Precursory Phenomena

scholarly journals Multi-scale Simulation in Railway Planning and Operation

2012 ◽  
Vol 23 (6) ◽  
pp. 511-517 ◽  
Author(s):  
Yong Cui ◽  
Ullrich Martin
Keyword(s):  
Simulation Model ◽  
Process Simulation ◽  
Level Of Detail ◽  
Smooth Transition ◽  
Simulation Methods ◽  
Multi Scale ◽  
Railway Planning ◽  
The Moment ◽  
Discrete Scaling ◽  
Planning And Operation

Simulation methods are widely used in railway planning and operation. However, at the moment there are no applicable solutions in the process simulation for a smooth transition among different infrastructure levels on the basis of a unified structure with consistent algorithm. In this paper, a multi-scale simulation model is designed with consideration of the level of detail of the investigated infrastructure model and the homogeneity of the processes running in the simulation model. A comprehensive and synthesized view of railway planning and operation is therefore obtained. Within the multi-scale simulation model, railway planning and operation processes can be simulated, evaluated and optimized consistently. KEY WORDS: railway planning, simulation, multi-scale, aggregation, discrete scaling, continuous scaling, homogenous process, inhomogeneous process

scholarly journals Renormalization group theory of earthquakes

1996 ◽  
Vol 3 (2) ◽  
pp. 102-109 ◽  
Author(s):  
H. Saleur ◽  
C. G. Sammis ◽  
D. Sornette
Keyword(s):  
Renormalization Group ◽  
Scale Invariance ◽  
Global Scale ◽  
Corrections To Scaling ◽  
Discrete Scale Invariance ◽  
Single Complex ◽  
Correction To Scaling ◽  
Discrete Scaling ◽  
Group Flow ◽  
Discrete Scale

Abstract. We study theoretically the physical origin of the proposed discrete scale invariance of earthquake processes, at the origin of the universal log-periodic corrections to scaling, recently discovered in regional seismic activity (Sornette and Sammis (1995)). The discrete scaling symmetries which may be present at smaller scales are shown to be robust on a global scale with respect to disorder. Furthermore, a single complex exponent is sufficient in practice to capture the essential properties of the leading correction to scaling, whose real part may be renormalized by disorder, and thus be specific to the system. We then propose a new mechanism for discrete scale invariance, based on the interplay between dynamics and disorder. The existence of non-linear corrections to the renormalization group flow implies that an earthquake is not an isolated "critical point", but is accompanied by an embedded set of "critical points", its foreshocks and any subsequent shocks for which it may be a foreshock.

scholarly journals Holographic QFTs on S2×S2, spontaneous symmetry breaking and Efimov saddle points

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Elias Kiritsis ◽  
Francesco Nitti ◽  
Edwan Préau
Keyword(s):  
Symmetric Solution ◽  
Unstable Mode ◽  
Saddle Points ◽  
Dilaton Gravity ◽  
Regular Solutions ◽  
First Order ◽  
Product Of Spheres ◽  
First Order Transition ◽  
Discrete Scaling ◽  
Products Of Spheres

Abstract Holographic CFTs and holographic RG flows on space-time manifolds which are d-dimensional products of spheres are investigated. On the gravity side, this corresponds to Einstein-dilaton gravity on an asymptotically AdSd+1 geometry, foliated by a product of spheres. We focus on holographic theories on S2× S2, we show that the only regular five-dimensional bulk geometries have an IR endpoint where one of the sphere shrinks to zero size, while the other remains finite. In the Z2-symmetric limit, where the two spheres have the same UV radii, we show the existence of a infinite discrete set of regular solutions, satisfying an Efimov-like discrete scaling. The Z2-symmetric solution in which both spheres shrink to zero at the endpoint is singular, whereas the solution with lowest free energy is regular and breaks Z2 symmetry spontaneously. We explain this phenomenon analytically by identifying an unstable mode in the bulk around the would-be Z2-symmetric solution. The space of theories have two branches that are connected by a conifold transition in the bulk, which is regular and correspond to a quantum first order transition. Our results also imply that AdS5 does not admit a regular slicing by S2× S2.

scholarly journals Discrete scaling based on operator theory

2021 ◽  
Vol 108 ◽  
pp. 102904
Author(s):  
Aykut Koç ◽  
Burak Bartan ◽  
Haldun M. Ozaktas
Keyword(s):  
Operator Theory ◽  
Discrete Scaling

Comparison between Continuous and Discrete Measurements of Breathlessness during Exercise in Normal Subjects Using a Visual Analogue Scale

1993 ◽  
Vol 85 (2) ◽  
pp. 229-236 ◽  
Author(s):  
Helen R. Harty ◽  
Peter Heywood ◽  
Lewis Adams
Keyword(s):  
Visual Analogue Scale ◽  
Analogue Scale ◽  
Acute Hypoxia ◽  
Normal Subjects ◽  
Continuous Method ◽  
Temporal Relationships ◽  
Scaling Methods ◽  
Stimulation Tests ◽  
Discrete Scaling ◽  
Visual Analogue Scaling

1. Visual analogue scaling of breathlessness made at discrete intervals during ventilatory stimulation tests can provide useful information about the intensity of this sensation. The aim of the present study was to investigate the use of continuous visual analogue scaling as a means of improving the temporal resolution of this measurement. 2. Six normal naive subjects scaled breathlessness using a visual analogue scale, during steady-state exercise. Further changes in this sensation were induced by either sustained hypercapnia or acute hypoxia; these responses were assessed either continuously or at discrete 30 s intervals and the two scaling methods were compared. 3. The continuous method of assessing breathlessness compared favourably with that of the more established discrete method, providing reproducible measurements in repeated tests equivalent in intensity to those obtained every 30 s. 4. Transient changes in the sensation of breathlessness produced by acute episodes of hypoxia were identified using the continuous scaling method but not with discrete scaling. 5. The continuous method of scaling breathlessness should aid the investigation of the neurophysiological basis of this sensation by allowing temporal relationships between changes in respiratory variables and the sensory consequences to be more carefully defined.

Sign in / Sign up

Export Citation Format

Share Document