Singularities in the Entropy of Asymptotically Large Simple Graphs

Radin Charles; Sadun Lorenzo

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Singularities in the Entropy of Asymptotically Large Simple Graphs

机译：渐近大简单图的熵的奇点

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摘要

We prove that the asymptotic entropy of large simple graphs, as a function of fixed edge and triangle densities, is nondifferentiable along a certain curve. We also determine the precise modified-bipartite structure of asymptotic graphs with edge density 1/2 and triangle density in the interval [0, 1/8].

机译：我们证明，作为固定边和三角形密度的函数的大型简单图的渐近熵在某条曲线上是不可微的。我们还确定了渐近图的精确修改二分结构，渐近图的边密度为1/2，三角形密度为[0，1/8]。

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来源
《Journal of Statistical Physics》 |2015年第4期|共13页
作者
Radin Charles; Sadun Lorenzo;
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原文格式 PDF
正文语种 eng
中图分类统计物理学;
关键词
Grapon; Extremal graphs; Phase transition; Random graph; Graph limits;

机译：Grapon;极值图;相变;随机图;图极限;

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专利

1. Singularities in the Entropy of Asymptotically Large Simple Graphs [J] . Radin Charles, Sadun Lorenzo Journal of Statistical Physics . 2015,第4期

机译：渐近大简单图的熵的奇点
2. A singular initial-boundary value problem for nonlinear wave equations and holography in asymptotically anti-de Sitter spaces [J] . Enciso Alberto, Kamran Niky Journal de Mathematiques Pures et Appliquees . 2015,第4期

机译：渐近反de Sitter空间中非线性波动方程和全息的奇异初值问题
3. Holographic entanglement entropies for Schwarzschild and Reisner-Nordström black holes in asymptotically Minkowski spacetimes [J] . Yuan Sun, Liu Zhao Physical Review D . 2017,第5a8CD期

机译：Schwarzschild和Reisner-nordström黑洞的全息纠缠熵在渐近Minkowski Spacetimes
4. Homomorphic Encryption from Learning with Errors: Conceptually-Simpler, Asymptotically-Faster, Attribute-Based [C] . Craig Gentry, Amit Sahai, Brent Waters Annual cryptology conference . 2013

机译：错误学习的同态加密：概念上更简单，渐近更快，基于属性
5. Derivation and implementation of the asymptotics for approximate entropy (ApEn) with application to medicine. [D] . Wang, Xin. 2009

机译：渐近渐近熵（ApEn）在医学上的应用和推导。
6. Asymptotically scale-invariant occupancy of phase space makes the entropy Sq extensive [O] . Constantino Tsallis, Murray Gell-Mann, Yuzuru Sato 2005

机译：相空间的渐近尺度不变占有使得熵Sq扩展
7. 3 SINGULARITIES IN THE ENTROPY OF ASYMPTOTICALLY LARGE SIMPLE GRAPHS [O] . Charles Radin, Lorenzo Sadun 2016

机译：在渐近大的简单图的熵中的3个奇异性

Singularities in the Entropy of Asymptotically Large Simple Graphs

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