Lee-Yang property
In statistical mechanics, the Lee–Yang theorem states that if partition functions of certain models in statistical field theory with ferromagnetic interactions are considered as functions of an external field, then all zeros are purely imaginary (or on the unit circle after a change of variable). The first version was proved for the Ising model by C. N. Yang and T. D. Lee (1952) (Lee & Yang 1952). Their result was later extended to more general models by several people. Simon & Griffiths (1973) extended the Lee–Yang theorem to certain continuous probability distributions by approximating them by a superposition of Ising models. Newman (1974) gave a general theorem stating roughly that the Lee–Yang theorem holds for a ferromagnetic interaction provided it holds for zero interaction. Lieb & Sokal (1981) generalized Newman's result from measures on R to measures on higher-dimensional Euclidean space.
There has been some speculation about a relationship between the Lee–Yang theorem and the Riemann hypothesis about the Riemann zeta function; see (Knauf 1999).

This is an excerpt from the article Lee-Yang property from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.
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Lee–Yang theorem - Wikipedia, the free encyclopedia
The Lee–Yang theorem states that if the Hamiltonian is ferromagnetic and all the measures dμj have the Lee-Yang property, and all the numbers zj have positive ...
en.wikipedia.org/wiki/Lee%E2%80%93Yang_theorem
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Some Applications of the Lee-Yang Theorem
May 30, 2012 ... A survey of models known to have the Lee-Yang property is given. We conclude by describing various applications of the aforementioned ...
arxiv.org/abs/1205.6643
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Random vectors with the Lee-Yang property - Springer
The concept of a Lee-Yang property is introduced following an analysis ... "Lee-Yang property," which in the scalar case signified the absence of zeros off the.
link.springer.com/content/pdf/10.1007%2FBF01018677.pdf
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Laguerre entire functions and the Lee–Yang property - ResearchGate
on RN , N 2 N. It is called the Lee–Yang property since, in the case N ¼ 1, ... described. Certain connections of the Lee–Yang property with other aspects of the.
www.researchgate.net/publication/223634965_Laguerre_entire_functions_and_the_LeeYang_property/file/5046351c2f9c179a59.pdf
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Some applications of the Lee-Yang theorem - Department of ...
Abstract. For lattice systems of statistical mechanics satisfying a Lee-Yang property (i.e., for which the Lee-Yang circle theorem holds), we present a simple proof ...
www.math.ethz.ch/~rpierre/LeeYang_apps.pdf
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Linear Operators Preserving Stability and the Lee-Yang Program
Zero loci/non-vanishing properties of (multivariate) polynomials & their dynamics .... Many known generalizations of the Lee-Yang the- orem: Asano, Fisher ...
www.newton.ac.uk/programmes/CSM/seminars/2008062514006.pdf
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Laguerre entire functions and the Lee-Yang property
A class of measures possessing this property is described. Certain connections of the Lee-Yang property with other aspects of the analytic theory of probability ...
dl.acm.org/citation.cfm?id=780718
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Laguerre entire functions and the Lee–Yang property
Dec 28, 2002 ... Laguerre entire functions are the polynomials of a single complex variable possessing real nonpositive zeros only or their limits on compact ...
www.sciencedirect.com/science/article/pii/S0096300302003247
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Lee-Yang Zeros for the DHL and 2D Rational Dynamics, I. Foliation ...
Sep 23, 2010 ... 19. 4. Structure of the RG transformation II: Global properties in CP2. 26. 5. Proof of the Lee-Yang Theorem for DHL. 31. 6. Algebraic cone field.
www.math.iupui.edu/~bleher/submitted_papers/Lee_Yang_Part1.pdf
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Hybrid functional - Wikipedia, the free…
Hybrid functionals are a class of approximations to the exchange - correlation energy functional in density functional theory (DFT) that incorporate a portion of ...
en.wikipedia.org/wiki/Hybrid_functional
Search results for "Lee-Yang property"
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Lee-Yang property in science
Lee University, Cleveland TN
Dr. Jo Anne Lyon, General Superintendent of the Wesleyan Church, will present a lecture titled, “Lean In: Women in Executive Leadership” at Lee University on ...
jerry lee yang chiang | LinkedIn
View jerry lee yang chiang's professional profile on LinkedIn. ... CFO at Frasers Property Australia ... National University of Singapore; St Joseph Institution.
Yang Li - UPRM
Ph.D. University of Science and Technology Beijing ... E-Mail: yang.li@upr.edu ... Study of magnetic and thermoelectric properties of clathrates as new energy ... Joseph H. Ross and Yang Li, Chapter IV, Superconductivity and Magnetism in ...
Lee–Yang theorem - Wikipedia, the free encyclopedia
Some examples of measure with the Lee-Yang property are: ... 1, Cambridge Monographs on Mathematical Physics, Cambridge University Press, ISBN ...
Santa Clara University - Hohyun Lee
Hohyun Lee. ... Santa Clara University School of Engineering ... and therefore engineering thermal properties of nanomaterials for the purpose of energy harvest. ... X. Wang, H.Lee, Y.C. Lan, G. H. Zhu, G. Joshi, D. Z. Wang, J. Yang, A. J. Muto ...
Laguerre entire functions and the Lee-Yang property
Certain connections of the Lee-Yang property with other aspects of the analytic ... The P (φ) 2 Euclidean (Quantum) Field Theory, Princeton University Press, ...
LEE, Jim Yang - NUS - National University of Singapore
Some of these membranes also have interesting properties suitable for forward osmosis ... Yang, J., J.Y. Lee, and J.Y. Ying, Phase transfer and its applications in  ...
Yang Li: Son of Chinese government official tried to bribe his Bath ...
Apr 23, 2013 ... Yang Li told university don 'I'm a businessman' before placing cash on ... 'One of Mr Li's pleasures is shooting in the garden of his house, and ...
Prof. Yang Yang, UCLA — UCLA Materials Science and Engineering
Hua-Hsien Liao, Li-Min Chen, Zheng Xu, Gang Li, and Yang Yang. ... 307-354. on “Electronic and Optical Properties of Conjugated Molecular Systems in ... Visiting professor, Department of Materials Science of Zhenan University, China.
Yi Cui Group - Stanford University
... B. Lee, L.-W. Wang, and M. Salmeron "Mechanical and Electrical Properties of ... D. K. Kim, P. Muralidharan, H. W. Lee, R. Ruffo, Y. Yang, C. K. Chan, H. Peng, ...
Books on the term Lee-Yang property
Statistical Mechanics: Selecta of Elliott H. Lieb
Statistical Mechanics: Selecta of Elliott H. Lieb
Bruno Nachtergaele, Jan Philip Solovej, Jakob Yngvason, 2004
Unfortunately, however, the only base-measure u0 for which this idea is known to work is the uncoupled spin-| Ising measure n d/i» = [1 K*
Optofluidics: Fundamentals, Devices, and Applications (Biophotonics)
Optofluidics: Fundamentals, Devices, and Applications (Biophotonics)
2009
Cutting-Edge Optofluidics Theories, Techniques, and PracticesAdd novel functionalities to your optical design projects by incorporating state-of-the-art microfluidic technologies and tools. Co-written by industry experts, Optofluidics: Fundamentals, Devices, and Applications covers the latest functional integration of optical devices and microfluid...
The Statistical Mechanics of Quantum Lattice Systems: A Path ...
The Statistical Mechanics of Quantum Lattice Systems: A Path ...
2009
The function f^h) = 0, for all 6 6 R. (2.4.5) So far, no necessary conditions for measures to possess the Lee- Yang property are known. The most general ...
Order, Disorder and Criticality: Advanced Problems of Phase ...
Order, Disorder and Criticality: Advanced Problems of Phase ...
Yurij Holovatch, 2004
Definition 1: A symmetric probability measure e on the real line R is said to possess the Lee- Yang property if z € C, (22) R is an entire function which has either imaginary zeros or none at all. Then the Lee- Yang theorem in the version of E.H. ...
Securing Intellectual Property: Protecting Trade Secrets and ...
Securing Intellectual Property: Protecting Trade Secrets and ...
Information Security, 2008
Lee, Yang, and Yang's daughter, Hwei Chen Yang—a.k.a., Sally Yang— conspired to provide the Yangs with Avery Dennison's intellectual property and business methodologies. In exchange, Lee would be paid substantial sums of money—to ...
Density Functional Theory
Density Functional Theory
Eberhard K.U. Gross, Reiner M. Dreizler, 1995
respect to properties (51), (20), and (22-24). It is noteworthy that the Lee- Yang- Parr functional [51] satisfies constraint (19) and that the Perdew-Wang (91), or PW(91), functional satisfies constraints (22) and (23) even though these functional ...
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