Self-Similarity and Power Laws
نویسنده
چکیده
منابع مشابه
The power of power laws and an
Although already defined in 1926 by A. Lotka, power laws are becoming more and more important since they have been found valid in social networks such as the Internet. In this paper we prove some unique properties of power laws. We show that they characterise functions with the scale-free property (also called self-similarity property) as well as functions with the product property. They also h...
متن کاملData Mining Using Fractals and Power Laws
Overview • Goals/ motivation: find patterns in large datasets: – (A) Sensor data – (B) network/graph data • Solutions: self-similarity and power laws • Discussion MSU, 2005 Applications of sensors/streams • 'Smart house': monitoring temperature, humidity etc
متن کامل4 Power laws in surface physics : The deep , the shallow and the useful
The growth and dynamics of solid surfaces displays a multitude of power law relationships, which are often associated with geometric self-similarity. In many cases the mechanisms behind these power laws are comparatively trivial, and require little more than dimensional analysis for their derivation. The information of interest to surface physicists then resides in the prefactors. This point wi...
متن کاملReconstructing Generalized Exponential Laws by Self-Similar Exponential Approximants
We apply the technique of self-similar exponential approximants based on successive truncations of continued exponentials to reconstruct functional laws of the quasi-exponential class from the knowledge of only a few terms of their power series. Comparison with the standard Padé approximants shows that, in general, the self-similar exponential approximants provide significantly better reconstru...
متن کاملThe self - similar science system 1
A system with a self-similar property is scale-independent and statistically exhibits that property at all levels of observation. In addition, a power law describes the distribution of a scale-independent property. Many investigators have observed social activities and structures, particularly in the science system, that are best described by a power-law distribution. However, unlike classical ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005