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Journal articles on the topic 'Entropy source'

Author: Grafiati

Published: 6 September 2023

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1

Flood, Matthew W., and Bernd Grimm. "EntropyHub: An open-source toolkit for entropic time series analysis." PLOS ONE 16, no. 11 (2021): e0259448. http://dx.doi.org/10.1371/journal.pone.0259448.

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An increasing number of studies across many research fields from biomedical engineering to finance are employing measures of entropy to quantify the regularity, variability or randomness of time series and image data. Entropy, as it relates to information theory and dynamical systems theory, can be estimated in many ways, with newly developed methods being continuously introduced in the scientific literature. Despite the growing interest in entropic time series and image analysis, there is a shortage of validated, open-source software tools that enable researchers to apply these methods. To da

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2

Guyader, A., E. Fabre, C. Guillemot, and M. Robert. "Joint source-channel turbo decoding of entropy-coded sources." IEEE Journal on Selected Areas in Communications 19, no. 9 (2001): 1680–96. http://dx.doi.org/10.1109/49.947033.

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3

Chapeau-Blondeau, F., A. Delahaies, and D. Rousseau. "Source coding with Tsallis entropy." Electronics Letters 47, no. 3 (2011): 187. http://dx.doi.org/10.1049/el.2010.2792.

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4

Borysenko, Oleksiy. "ON COMBINATORIAL ENTROPY OF SOURCES OF BINARY INFORMATION." Grail of Science, no. 20 (October 6, 2022): 90–96. http://dx.doi.org/10.36074/grail-of-science.30.09.2022.017.

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The paper considers the question of converting the entropy of a probabilistic information source generating binary sequences into combinatorial forms of its two constituent sources. One of them is basic, and the second has a conditional entropy with respect to the first. It is shown that together such sources make it possible to optimally encode information using numbering at the efficiency level of known methods of optimal coding. In terms of their functions, they are universal and can solve all the problems that are solved by the methods of coding probabilistic sources. However, unlike them,

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5

Bercher, J. F. "Comment: Source coding with Tsallis entropy." Electronics Letters 47, no. 10 (2011): 597. http://dx.doi.org/10.1049/el.2011.0611.

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Răstoceanu, Florin, Răzvan Rughiniș, Ștefan-Dan Ciocîrlan, and Mihai Enache. "Sensor-Based Entropy Source Analysis and Validation for Use in IoT Environments." Electronics 10, no. 10 (2021): 1173. http://dx.doi.org/10.3390/electronics10101173.

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The IoT market has grown significantly in recent years, and it is estimated that it will continue to do so. For this reason, the need to identify new solutions to ensure security is vital for the future development in this field. Inadequate sources of entropy are one of the factors that negatively influence security. In this study, inspired by NIST’s latest entropy estimation recommendations, we proposed a methodology for analyzing and validating a sensor-based entropy source, highlighted by an innovative experiment design. Moreover, the proposed solution is analyzed in terms of resistance to

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Zhou, Li, and Yang Liu. "Optimization of Horizontal Plate Fin Heat Sink in Natural Convection for Electronics Cooling by Simulated Annealing Algorithm." Advanced Materials Research 1022 (August 2014): 91–95. http://dx.doi.org/10.4028/www.scientific.net/amr.1022.91.

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In this study, the simulated annealing (SA) algorithm was adopted to optimize the geometry of horizontal plate fin heat sink by the extreme entransy dissipation principle. The alculation of the entransy dissipation rate was presented in detail. Using the entransy dissipation rate as the objective condition, the geometry optimization of the fin heat sink was conducted. To verify the results, the heat source temperature and the entropy generation rate were also calculated in the procedure. It is found that the entrasy dissipation rate, entropy generation and heat source temperature have the simi

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8

Contreras Rodríguez, Lianet, Evaristo José Madarro-Capó , Carlos Miguel Legón-Pérez , Omar Rojas, and Guillermo Sosa-Gómez. "Selecting an Effective Entropy Estimator for Short Sequences of Bits and Bytes with Maximum Entropy." Entropy 23, no. 5 (2021): 561. http://dx.doi.org/10.3390/e23050561.

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Entropy makes it possible to measure the uncertainty about an information source from the distribution of its output symbols. It is known that the maximum Shannon’s entropy of a discrete source of information is reached when its symbols follow a Uniform distribution. In cryptography, these sources have great applications since they allow for the highest security standards to be reached. In this work, the most effective estimator is selected to estimate entropy in short samples of bytes and bits with maximum entropy. For this, 18 estimators were compared. Results concerning the comparisons publ

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9

Lopez-Sauceda, Juan, Philipp von Bülow, Carlos Ortega-Laurel, Francisco Perez-Martinez, Kalina Miranda-Perkins, and José Gerardo Carrillo González. "Entropy as a Geometrical Source of Information in Biological Organizations." Entropy 24, no. 10 (2022): 1390. http://dx.doi.org/10.3390/e24101390.

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Considering both biological and non-biological polygonal shape organizations, in this paper we introduce a quantitative method which is able to determine informational entropy as spatial differences between heterogeneity of internal areas from simulation and experimental samples. According to these data (i.e., heterogeneity), we are able to establish levels of informational entropy using statistical insights of spatial orders using discrete and continuous values. Given a particular state of entropy, we establish levels of information as a novel approach which can unveil general principles of b

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Silva, João B., Suzan S. Vasconcelos, and Valeria C. Barbosa. "Apparent-magnetization mapping using entropic regularization." GEOPHYSICS 75, no. 2 (2010): L39—L50. http://dx.doi.org/10.1190/1.3358160.

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A new apparent-magnetization mapping method on the horizontal plane combines minimization of first-order entropy with maximization of zeroth-order entropy of the estimated magnetization. The interpretation model is a grid of vertical, juxtaposed prisms in both horizontal directions. To estimate the magnetization of the prisms, assume that the top and bottom of the magnetic sources are horizontal. Minimization of the first-order entropy favors solutions with sharp borders, and the maximization of zeroth-order entropy prevents the tendency of the estimated source to become a single prism with la

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11

Bombelli, Luca, Rabinder K. Koul, Joohan Lee, and Rafael D. Sorkin. "Quantum source of entropy for black holes." Physical Review D 34, no. 2 (1986): 373–83. http://dx.doi.org/10.1103/physrevd.34.373.

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12

Wishon, Michael J., Nianqiang Li, D. Choi, D. S. Citrin, and Alexandre Locquet. "Chaotic laser voltage: An electronic entropy source." Applied Physics Letters 112, no. 26 (2018): 261101. http://dx.doi.org/10.1063/1.5025433.

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13

TANYIMBOH, T. T., and A. B. TEMPLEMAN. "MAXIMUM ENTROPY FLOWS FOR SINGLE-SOURCE NETWORKS." Engineering Optimization 22, no. 1 (1993): 49–63. http://dx.doi.org/10.1080/03052159308941325.

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14

Śmieja, Marek, and Jacek Tabor. "Entropy Approximation in Lossy Source Coding Problem." Entropy 17, no. 5 (2015): 3400–3418. http://dx.doi.org/10.3390/e17053400.

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15

Fu, Geng-Shen, Ronald Phlypo, Matthew Anderson, Xi-Lin Li, and Tulay Adali. "Blind Source Separation by Entropy Rate Minimization." IEEE Transactions on Signal Processing 62, no. 16 (2014): 4245–55. http://dx.doi.org/10.1109/tsp.2014.2333563.

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Gomez-Herrero, G., K. Rutanen, and K. Egiazarian. "Blind Source Separation by Entropy Rate Minimization." IEEE Signal Processing Letters 17, no. 2 (2010): 153–56. http://dx.doi.org/10.1109/lsp.2009.2035731.

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17

ATASSI, O. V., and J. J. GILSON. "Acoustic mode scattering from a heat source." Journal of Fluid Mechanics 651 (April 30, 2010): 1–26. http://dx.doi.org/10.1017/s0022112010000261.

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The scattering of an incident acoustic wave by a non-uniform mean flow resulting from a heat source is investigated. The heat source produces gradients in the mean flow and the speed of sound that scatter the incident duct acoustic mode into vortical, entropic, and higher-order acoustic modes. Linear solutions utilizing the compact source limit and nonlinear solutions to the Euler equations are computed to understand how variations in the amplitude and axial extent of the heat source as well as the incident acoustic wave propagation angle and amplitude modify the scattered solution. For plane

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Choi, Youngrak, Yongjin Yeom, and Ju-Sung Kang. "Practical Entropy Accumulation for Random Number Generators with Image Sensor-Based Quantum Noise Sources." Entropy 25, no. 7 (2023): 1056. http://dx.doi.org/10.3390/e25071056.

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The efficient generation of high-quality random numbers is essential in the operation of cryptographic modules. The quality of a random number generator is evaluated by the min-entropy of its entropy source. The typical method used to achieve high min-entropy of the output sequence is an entropy accumulation based on a hash function. This is grounded in the famous Leftover Hash Lemma, which guarantees a lower bound on the min-entropy of the output sequence. However, the hash function-based entropy accumulation has slow speed in general. For a practical perspective, we need a new efficient entr

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Bursalioglu, O. Y., M. Fresia, G. Caire, and H. V. Poor. "Lossy Joint Source-Channel Coding Using Raptor Codes." International Journal of Digital Multimedia Broadcasting 2008 (2008): 1–18. http://dx.doi.org/10.1155/2008/124685.

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The straightforward application of Shannon's separation principle may entail a significant suboptimality in practical systems with limited coding delay and complexity. This is particularly evident when the lossy source code is based on entropy-coded quantization. In fact, it is well known that entropy coding is not robust to residual channel errors. In this paper, a joint source-channel coding scheme is advocated that combines the advantages and simplicity of entropy-coded quantization with the robustness of linear codes. The idea is to combine entropy coding and channel coding into a single l

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20

Gu, W., Y. Weng, Y. Wang, and B. Zheng. "Theoretical and experimental investigation of an organic Rankine cycle for a waste heat recovery system." Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy 223, no. 5 (2009): 523–33. http://dx.doi.org/10.1243/09576509jpe725.

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This article describes and evaluates an organic Rankine cycle (ORC) for a waste heat recovery system by both theoretical and experimental studies. Theoretical analysis of several working fluids shows that cycle efficiency is very sensitive to evaporating pressure, but insensitive to expander inlet temperature. Second law analysis was carried out using R600a as a working fluid and a flow of hot air as a heat source, which is not isothermal, along the evaporator. The result discloses that the evaporator's internal and external entropy generation is the main source of total entropy generation. Th

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Дорофеєва, Маргарита, and Тетяна Андрущенко. "Information Entropy in Translation: Psycholinguistic Aspects." PSYCHOLINGUISTICS 26, no. 2 (2019): 91–113. http://dx.doi.org/10.31470/2309-1797-2019-26-2-91-113.

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The article deals with the category of informational entropy in the source text as a matter of translation psycholinguistics. The informational entropy of the lexical units on different levels in the source text refers to subjective factors that reduce the translation quality. Lexical units-carriers of the source text’s informational entropy cause informational deficits in the translator’s consciousness. The aim of the search is to consider the category of informational entropy from the standpoint of psycholinguistics and cognitive translation theory, identify the causes of informational

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22

Kim, Yewon, and Yongjin Yeom. "Accelerated implementation for testing IID assumption of NIST SP 800-90B using GPU." PeerJ Computer Science 7 (March 8, 2021): e404. http://dx.doi.org/10.7717/peerj-cs.404.

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In cryptosystems and cryptographic modules, insufficient entropy of the noise sources that serve as the input into random number generator (RNG) may cause serious damage, such as compromising private keys. Therefore, it is necessary to estimate the entropy of the noise source as precisely as possible. The National Institute of Standards and Technology (NIST) published a standard document known as Special Publication (SP) 800-90B, which describes the method for estimating the entropy of the noise source that is the input into an RNG. The NIST offers two programs for running the entropy estimati

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23

Borysenko, Oleksiy. "BINOMIAL METHODS FOR BINARY MESSAGE COMPRESSION." Grail of Science, no. 21 (November 5, 2022): 96–101. http://dx.doi.org/10.36074/grail-of-science.28.10.2022.017.

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Two lossless numerical compression methods for binary messages using binomial coefficients are proposed. The methods are based on the decomposition of a Bernoulli source of information into a combinatorial source A and a probabilistic source B. Accordingly, the entropy of the source is also decomposed into two entropies. The entropy of source A solves the problem of enumeration encoding of compressible messages, and the entropy of source B for the first method solves the problem of optimal coding. The disadvantage of this method is the need for statistical tests. In the second method, the calc

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24

Silva, João B. C., Francisco S. Oliveira, Valéria C. F. Barbosa, and Haroldo F. Campos Velho. "Apparent-density mapping using entropic regularization." GEOPHYSICS 72, no. 4 (2007): I51—I60. http://dx.doi.org/10.1190/1.2732557.

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We present a new apparent-density mapping method on the horizontal plane that combines the minimization of the first-order entropy with the maximization of the zeroth-order entropy of the estimated density contrasts. The interpretation model consists of a grid of vertical, juxtaposed prisms in both horizontal directions. We assume that the top and the bottom of the gravity sources are flat and horizontal and estimate the prisms’ density contrasts. The minimization of the first-order entropy favors solutions presenting sharp borders, and the maximization of the zeroth-order entropy prevents the

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25

Das, Saurya, and S. Shankaranarayanan. "Entanglement as a source of black hole entropy." Journal of Physics: Conference Series 68 (May 1, 2007): 012015. http://dx.doi.org/10.1088/1742-6596/68/1/012015.

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26

Khosla, D., and M. Singh. "A maximum-entropy method for MEG source imaging." IEEE Transactions on Nuclear Science 44, no. 3 (1997): 1368–74. http://dx.doi.org/10.1109/23.597015.

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27

Yazdani, Shahram. "Informational Entropy as a Source of Life’s Origin." Journal of Modern Physics 10, no. 13 (2019): 1498–504. http://dx.doi.org/10.4236/jmp.2019.1013099.

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28

Chapeau-Blondeau, F., A. Delahaies, and D. Rousseau. "Reply: Comment on ‘Source coding with Tsallis entropy’." Electronics Letters 47, no. 10 (2011): 598. http://dx.doi.org/10.1049/el.2011.1161.

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29

GURMAN, Ivan, Viktor CHESHUN, Nataliia PETLIAK, Andrii DZHULIY, and Vitalii CHORNENKYI. "DETERMINATION OF ENTROPY COMPONENT IN SENSOR INDICATORS FOR GENERATION OF CRYPTOGRAPHIC KEYS OF THE MOBILE APPLICATION OF THE CLIENT-BANK SYSTEM." Herald of Khmelnytskyi National University 301, no. 5 (2021): 18–21. http://dx.doi.org/10.31891/2307-5732-2021-301-5-18-21.

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The rapid penetration of the banking market of mobile banking creates not only new opportunities and conveniences, but also new risks and threats, which leads to increased requirements for information security of mobile services. One of the important components of the security of the mobile banking service of the client-bank system is the protection mechanisms based on the use of cryptographic keys. The stability of cryptographic keys is a guarantee of system reliability and, in turn, is based on the mechanisms of generating pseudo-random numbers using primary sources of entropy, for the effec

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30

Song, Cheng, Yuyao He, and Xiaokang Lei. "Autonomous Searching for a Diffusive Source Based on Minimizing the Combination of Entropy and Potential Energy." Sensors 19, no. 11 (2019): 2465. http://dx.doi.org/10.3390/s19112465.

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The infotaxis scheme is a search strategy for a diffusive source, where the sensor platform is driven to reduce the uncertainty about the source through climbing the information gradient. The infotaxis scheme has been successfully applied in many source searching tasks and has demonstrated fast and stable searching capabilities. However, the infotaxis scheme focuses on gathering information to reduce the uncertainty down to zero, rather than chasing the most probable estimated source when a reliable estimation is obtained. This leads the sensor to spend more time exploring the space and yields

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Yevseiev, Serhii, Khazail Rzayev, Oleksandr Laptiev, et al. "Development of a hardware cryptosystem based on a random number generator with two types of entropy sources." Eastern-European Journal of Enterprise Technologies 5, no. 9(119) (2022): 6–16. http://dx.doi.org/10.15587/1729-4061.2022.265774.

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In modern software, crypto-algorithms are widely used for both data encryption tasks, and authentication and integrity checks. There are well-known and proven crypto-algorithms. Their cryptoresistance is either mathematically proven or based on the need to solve a mathematically complex problem (factorization, discrete logarithm, etc.). On the other hand, in the computer world, information constantly appears about errors or «holes» in a particular program (including one that uses crypto-algorithms) or that it was broken (cracked). This creates distrust both in specific programs and in the poss

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32

Fattahi, Abolfazl, Ebrahim Rahmani, Nader Karimi, and S. Mostafa Hosseinalipour. "On the decay of entropic-compositional sources of indirect noise in combustors." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 265, no. 2 (2023): 5167–78. http://dx.doi.org/10.3397/in_2022_0750.

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For nearly half a century, indirect combustion noise in gas turbine combustors was entirely attributed to entropy waves, as the convecting hot spots. However, recent studies identified another source of indirect noise called compositional waves, which consists of convecting chemical blobs. Understanding the evolution of this new source during its journey throughout the combustor requires attention due to the unknown physics of the turbulent, heat transferring flow in which it moves. In the current study, a hot chemical blob including a mixture of combustion products is introduced at the channe

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Dwivedi, Divyanshu, Ashutosh Chamoli, and Sandip Kumar Rana. "Wavelet Entropy: A New Tool for Edge Detection of Potential Field Data." Entropy 25, no. 2 (2023): 240. http://dx.doi.org/10.3390/e25020240.

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Subsurface source boundary identification is a major step in the interpretation of potential field anomalies in geophysical exploration. We investigated the behavior of wavelet space entropy over the boundaries of 2D potential field source edges. We tested the robustness of the method for complex source geometries with distinct source parameters of prismatic bodies. We further validated the behavior with two datasets by delineating the edges of (i) the magnetic anomalies due to the popular Bishop model and (ii) the gravity anomalies of the Delhi fold belt region, India. The results showed prom

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Zhang, Yang, Li-Chun Zhang, and Ren Zhao. "Entropy of higher-dimensional topological dS black holes with nonlinear source." Modern Physics Letters A 34, no. 31 (2019): 1950254. http://dx.doi.org/10.1142/s0217732319502547.

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On the basis of the first law of black hole thermodynamics, we propose the concept of effective temperature of de Sitter (dS) black holes and conjecture that the effective temperature should be the temperature of the dS black holes when the Hawking radiation temperatures of the black hole horizon and the cosmological horizon are equal. Choosing different independent variables, we can find a differential equation satisfied by the entropy of the dS black hole. It is shown that the differential equation of entropy is independent of the choice of independent variables. From the differential equati

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35

Charlot, Patrick, Jean-François Lestrade, and Claude Boucher. "Radio source structures in VLBI astrometry." Symposium - International Astronomical Union 128 (1988): 91–96. http://dx.doi.org/10.1017/s0074180900119321.

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In astrometry, celestial radio sources with extended structures are useful. An algorithm to correct for structure in VLBI delays and delay rates is developed. The radio source NRAO140 is mapped from data with limited u-v coverage by the hybrid method and the Maximum Entropy procedure. The magnitude of the structure corrections in astrometry is discussed in the case of NRAO140.

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36

Du, Yang, and Ma. "Multi-Harmonic Source Localization Based on Sparse Component Analysis and Minimum Conditional Entropy." Entropy 22, no. 1 (2020): 65. http://dx.doi.org/10.3390/e22010065.

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Aiming at the fact that the independent component analysis algorithm requires more measurement points and cannot solve the problem of harmonic source location under underdetermined conditions, a new method based on sparse component analysis and minimum conditional entropy for identifying multiple harmonic source locations in a distribution system is proposed. Under the condition that the network impedance is unknown and the number of harmonic sources is undetermined, the measurement node configuration algorithm selects the node position to make the separated harmonic current more accurate. The

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37

SGARRO, ANDREA, and LIVIU PETRIŞOR DINU. "POSSIBILISTIC ENTROPIES AND THE COMPRESSION OF POSSIBILISTIC DATA." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 10, no. 06 (2002): 635–53. http://dx.doi.org/10.1142/s0218488502001697.

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We re-take the possibilistic model for information sources recently put forward by the first author, as opposed to the standard probabilistic models of information theory. Based on an interpretation of possibilistic source coding inspired by utility functions, we define a notion of possibilistic entropy for a suitable class of interactive possibilistic sources, and compare it with the possibilistic entropy of stationary non-interactive sources. Both entropies have a coding-theoretic nature, being obtained as limit values for the rates of optimal compression codes. We list properties of the two

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Florio, Giovanni, and Maurizio Fedi. "Depth estimation from downward continuation: An entropy-based approach to normalized full gradient." GEOPHYSICS 83, no. 3 (2018): J33—J42. http://dx.doi.org/10.1190/geo2016-0681.1.

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The normalized full gradient is based on the noticeable stability of the modulus of the analytic signal of downward potential fields. We have developed a new approach to the study of the normalized full gradient, based on assessing the entropy of the normalized modulus of the analytic signal at each level of continuation. The increased disorder of progressively downward continued fields implies an increase of the computed entropy. However, a local decrease of the entropy is expected at the source level, where the field gets singular, as entropy decreases when the information is concentrated. T

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Delgado-Bonal, Alfonso, and Alexander Marshak. "Approximate Entropy and Sample Entropy: A Comprehensive Tutorial." Entropy 21, no. 6 (2019): 541. http://dx.doi.org/10.3390/e21060541.

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Approximate Entropy and Sample Entropy are two algorithms for determining the regularity of series of data based on the existence of patterns. Despite their similarities, the theoretical ideas behind those techniques are different but usually ignored. This paper aims to be a complete guideline of the theory and application of the algorithms, intended to explain their characteristics in detail to researchers from different fields. While initially developed for physiological applications, both algorithms have been used in other fields such as medicine, telecommunications, economics or Earth scie

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Mahalingam, Hemalatha, Sivaraman Rethinam, Siva Janakiraman, and Amirtharajan Rengarajan. "Non-Identical Inverter Rings as an Entropy Source: NIST-90B-Verified TRNG Architecture on FPGAs for IoT Device Integrity." Mathematics 11, no. 4 (2023): 1049. http://dx.doi.org/10.3390/math11041049.

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True random key generator (TRNG) architectures play a notable role in strengthening information security infrastructure. The development of new entropy sources based on reconfigurable hardware is always in demand, especially for the integrity of devices in IoT applications. TRNGs can be adopted for generating unique device IDs that form the data network in the IoT. A ring oscillator (RO) is an efficient entropy source which can be implemented on FPGAs or realised as ASIC hardware. This work proposes a non-identical RO array as an entropy source. The TRNG architecture, based on an increasing od

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BÜRGER, R., A. GARCIA, K. H. KARLSEN, and J. D. TOWERS. "On an extended clarifier-thickener model with singular source and sink terms." European Journal of Applied Mathematics 17, no. 3 (2006): 257–92. http://dx.doi.org/10.1017/s0956792506006619.

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A one-dimensional model of clarifier-thickener units in engineering applications can be expressed as a conservation law with a flux that is discontinuous with respect to the spatial variable. This model also includes a singular feed source. In this paper, the clarifier-thickener model studied in a previous paper (Numer. Math.97 (2004) 25–65) is extended by a singular sink through which material is extracted from the unit. A difficulty is that in contrast to the singular source, the sink term cannot be incorporated into the flux function; rather, the sink is represented by a new non-conservativ

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Zang, Tianlei, Zhengyou He, Ling Fu, Jing Chen, and Qingquan Qian. "Harmonic Source Localization Approach Based on Fast Kernel Entropy Optimization ICA and Minimum Conditional Entropy." Entropy 18, no. 6 (2016): 214. http://dx.doi.org/10.3390/e18060214.

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Nalewajski, Roman F. "Resultant Information Descriptors, Equilibrium States and Ensemble Entropy †." Entropy 23, no. 4 (2021): 483. http://dx.doi.org/10.3390/e23040483.

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In this article, sources of information in electronic states are reexamined and a need for the resultant measures of the entropy/information content, combining contributions due to probability and phase/current densities, is emphasized. Probability distribution reflects the wavefunction modulus and generates classical contributions to Shannon’s global entropy and Fisher’s gradient information. The phase component of molecular states similarly determines their nonclassical supplements, due to probability “convection”. The local-energy concept is used to examine the phase equalization in the equ

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Cai, Wan Tong, Wen Ying Liu, Wei Zheng, and Chen Liang. "The Analysis of Influences of Source-Network-Load's Operation Mode on Power Grids Self-Organized Criticality." Advanced Materials Research 732-733 (August 2013): 1375–81. http://dx.doi.org/10.4028/www.scientific.net/amr.732-733.1375.

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The distribution of power flow is a determinant of power grids self-organized criticality, and the uniformity of power flows distribution can be quantified by power flow entropy. The theory of power flow entropy is applied in this article to the research of influencing factors of power grids self-organized criticality. First the mathematics mechanism of self-organized criticalitys quantifying by power flow entropy is researched. And then the influence of start-up mode (source), running state (network), load distribution (load) on power flow entropy is analyzed respectively. Finally, the Hexi g

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45

Behnia, Kamran. "The Mysterious Source of Current-Induced Entropy in Ca2RuO4." JPSJ News and Comments 14 (January 15, 2017): 10. http://dx.doi.org/10.7566/jpsjnc.14.10.

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Linder, T., and A. Gyorgy. "Optimal entropy-constrained scalar quantization of a uniform source." IEEE Transactions on Information Theory 46, no. 7 (2000): 2704–11. http://dx.doi.org/10.1109/18.887885.

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Ang, Wah Khim, and Paul W. Jowitt. "Path entropy method for multiple-source water distribution networks." Engineering Optimization 37, no. 7 (2005): 705–15. http://dx.doi.org/10.1080/03052150500114255.

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WALTERS, G. A. "DISCUSSION ON: MAXIMUM ENTROPY FLOWS IN SINGLE SOURCE NETWORKS3." Engineering Optimization 25, no. 2 (1995): 155–63. http://dx.doi.org/10.1080/03052159508941260.

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Amblard, C., E. Lapalme, and J. M. Lina. "Biomagnetic Source Detection by Maximum Entropy and Graphical Models." IEEE Transactions on Biomedical Engineering 51, no. 3 (2004): 427–42. http://dx.doi.org/10.1109/tbme.2003.820999.

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Bercher, J. F. "Source coding with escort distributions and Rényi entropy bounds." Physics Letters A 373, no. 36 (2009): 3235–38. http://dx.doi.org/10.1016/j.physleta.2009.07.015.

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