Braid groups and Euclidean Lie algebras in statistical mechanics of spin systems

Group Theoretical Methods in Physics - Lecture Notes in Physics ◽

10.1007/bfb0016183 ◽

2005 ◽

pp. 438-443

Author(s):

Mario Rasetti

Keyword(s):

Statistical Mechanics ◽

Lie Algebras ◽

Braid Groups ◽

Spin Systems

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Probabilistic Inference to the Problem of Inverse-halftoning based on Statistical Mechanics of Spin Systems

2006 SICE-ICASE International Joint Conference ◽

10.1109/sice.2006.315089 ◽

2006 ◽

Cited By ~ 2

Author(s):

Yohei Saika ◽

Jun-ichi Inoue

Keyword(s):

Statistical Mechanics ◽

Probabilistic Inference ◽

Spin Systems ◽

Inverse Halftoning

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Designer spin systems via inverse statistical mechanics

Physical Review B ◽

10.1103/physrevb.88.134104 ◽

2013 ◽

Vol 88 (13) ◽

Cited By ~ 13

Author(s):

Robert A. DiStasio ◽

Étienne Marcotte ◽

Roberto Car ◽

Frank H. Stillinger ◽

Salvatore Torquato

Keyword(s):

Statistical Mechanics ◽

Spin Systems

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Random Fields: Textures and Classical Statistical Mechanics of Spin Systems

Graduate Texts in Physics - Statistical Physics ◽

10.1007/978-3-642-28684-1_4 ◽

2012 ◽

pp. 121-159

Author(s):

Josef Honerkamp

Keyword(s):

Statistical Mechanics ◽

Random Fields ◽

Spin Systems ◽

Classical Statistical Mechanics

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Random Fields: Textures and Classical Statistical Mechanics of Spin Systems

Statistical Physics ◽

10.1007/978-3-662-03709-6_4 ◽

1998 ◽

pp. 107-143

Author(s):

Josef Honerkamp

Keyword(s):

Statistical Mechanics ◽

Random Fields ◽

Spin Systems ◽

Classical Statistical Mechanics

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Spin Systems, Statistical Mechanics and Painlevé Functions

Painlevé Transcendents - NATO ASI Series ◽

10.1007/978-1-4899-1158-2_25 ◽

1992 ◽

pp. 377-391 ◽

Cited By ~ 5

Author(s):

Barry M. McCoy

Keyword(s):

Statistical Mechanics ◽

Spin Systems

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Statistical mechanics of quantum spin systems. II

Communications in Mathematical Physics ◽

10.1007/bf01646665 ◽

1968 ◽

Vol 7 (4) ◽

pp. 337-348 ◽

Cited By ~ 105

Author(s):

Derek W. Robinson

Keyword(s):

Statistical Mechanics ◽

Quantum Spin ◽

Spin Systems ◽

Quantum Spin Systems

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Separation of the Interaction Potential into Two Parts in Statistical Mechanics. II. Graph Theory for Lattice Gases and Spin Systems with Application to Systems with Long‐Range Potentials

Journal of Mathematical Physics ◽

10.1063/1.1705063 ◽

1966 ◽

Vol 7 (8) ◽

pp. 1532-1547 ◽

Cited By ~ 53

Author(s):

G. Stell ◽

J. L. Lebowitz ◽

S. Baer ◽

W. Theumann

Keyword(s):

Graph Theory ◽

Statistical Mechanics ◽

Long Range ◽

Interaction Potential ◽

Spin Systems ◽

Lattice Gases

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Braid groups, infinite Lie algebras of Cartan type and rings of invariants

Topology and its Applications ◽

10.1016/s0166-8641(98)00007-8 ◽

1999 ◽

Vol 95 (3) ◽

pp. 173-205

Author(s):

Stephen P. Humphries

Keyword(s):

Lie Algebras ◽

Braid Groups ◽

Cartan Type

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On injective homomorphisms for pure braid groups, and associated Lie algebras

Journal of Algebra ◽

10.1016/j.jalgebra.2006.01.047 ◽

2006 ◽

Vol 298 (2) ◽

pp. 363-370 ◽

Cited By ~ 1

Author(s):

F.R. Cohen ◽

Stratos Prassidis

Keyword(s):

Lie Algebras ◽

Braid Groups ◽

Injective Homomorphisms

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Statistical mechanics of quantum spin systems

Communications in Mathematical Physics ◽

10.1007/bf01654130 ◽

1967 ◽

Vol 6 (2) ◽

pp. 151-160 ◽

Cited By ~ 46

Author(s):

Derek W. Robinson

Keyword(s):

Statistical Mechanics ◽

Quantum Spin ◽

Spin Systems ◽

Quantum Spin Systems

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