scholarly journals Statistical properties of the critical eigenstates in power-law random banded matrices across the band

2005 ◽  
Vol 72 (3) ◽  
Author(s):  
C. J. Paley ◽  
S. N. Taraskin ◽  
S. R. Elliott
Keyword(s):  
Power Law ◽  
Statistical Properties ◽  
Banded Matrices

scholarly journals Statistical properties of magnetar bursts and FRB 121102

2019 ◽  
Vol 491 (1) ◽  
pp. 1498-1505 ◽  
Author(s):  
Yingjie Cheng ◽  
G Q Zhang ◽  
F Y Wang
Keyword(s):  
Power Law ◽  
Time Distribution ◽  
Statistical Properties ◽  
Occurrence Rate ◽  
Waiting Time Distribution ◽  
X Ray ◽  
Central Engine ◽  
Fast Radio Burst ◽  
Soft Gamma Repeater ◽  
Critical Process

ABSTRACT In this paper, we present statistics of soft gamma repeater (SGR) bursts from SGR J1550−5418, SGR 1806−20, and SGR 1900+14 by adding new bursts from Kırmızıbayrak et al. detected with the Rossi X-ray Timing Explorer. We find that the fluence distributions of magnetar bursts are well described by power-law functions with indices 1.84, 1.68, and 1.65 for SGR J1550−5418, SGR 1806−20, and SGR 1900+14, respectively. The duration distributions of magnetar bursts also show power-law forms. Meanwhile, the waiting time distribution can be described by a non-stationary Poisson process with an exponentially growing occurrence rate. These distributive features indicate that magnetar bursts can be regarded as a self-organizing critical process. We also compare these distributions with the repeating fast radio burst (FRB) 121102. The statistical properties of repeating FRB 121102 are similar with magnetar bursts, combining with the large required magnetic field (B ≥ 1014 G) of neutron star for FRB 121102, which indicates that the central engine of FRB 121102 may be a magnetar.

scholarly journals STATISTICAL PROPERTIES OF ONLINE AUCTIONS

2006 ◽  
Vol 17 (10) ◽  
pp. 1485-1493 ◽  
Author(s):  
ALIREZA NAMAZI ◽  
ANDREAS SCHADSCHNEIDER
Keyword(s):  
Power Law ◽  
Dynamic Properties ◽  
Online Auctions ◽  
Statistical Properties ◽  
Simple Method ◽  
Bidding Strategies ◽  
Shill Bidding ◽  
Observed Behavior

We characterize the statistical properties of a large number of online auctions run on eBay. Both stationary and dynamic properties, like distributions of prices, number of bids etc., as well as relations between these quantities are studied. The analysis of the data reveals surprisingly simple distributions and relations, typically of power-law form. Based on these findings we introduce a simple method to identify suspicious auctions that could be influenced by a form of fraud known as shill bidding. Furthermore the influence of bidding strategies is discussed. The results indicate that the observed behavior is related to a mixture of agents using a variety of strategies.

DIFFUSIONAL MODEL FOR NOISY ON–OFF INTERMITTENCY

1999 ◽  
Vol 09 (02) ◽  
pp. 355-359 ◽  
Author(s):  
A. ČENYS ◽  
J. ULBIKAS ◽  
A. N. ANAGNOSTOPOULOS ◽  
G. L. BLERIS
Keyword(s):  
Critical Point ◽  
Power Law ◽  
Statistical Properties ◽  
Exponential Law ◽  
Universal Distribution ◽  
Diffusional Model

Statistical properties of the laminar lengths for the noisy on–off intermittency are studied analytically. The universal distribution of the laminar phases is obtained at the critical point. It can be approximated by the power law with the exponent -3/2 and the exponential law describing fast falloff.

scholarly journals Statistical properties of random banded matrices with strongly fluctuating diagonal elements

1995 ◽  
Vol 52 (16) ◽  
pp. R11580-R11583 ◽  
Author(s):  
Yan V. Fyodorov ◽  
Alexander D. Mirlin
Keyword(s):  
Statistical Properties ◽  
Banded Matrices
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