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Statements

Subject Item
n2:RIV%2F60076658%3A12510%2F09%3A00011060%21RIV10-MSM-12510___
rdf:type
skos:Concept n14:Vysledek
dcterms:description
Reflection positivity (RP) is a property of Gibbs measures exhibited by a class of lattice spin systems that include the Ising, Potts and Heisenberg models. The RP property is useful because of its two basic consequences: infrared bound and chessboard estimates. These are one of basic (and rather efficient) tools for proving phase transitions in many models of physical interest. The notes presented hereby summarize the lectures on reflection positivity and its consequences that the author delivered at the Prague Summer School on Mathematical Statistical Mechanics in September 2006. The text features both the classical material on the subject from the late 1970s as well as some of the more recent developments. Reflection positivity (RP) is a property of Gibbs measures exhibited by a class of lattice spin systems that include the Ising, Potts and Heisenberg models. The RP property is useful because of its two basic consequences: infrared bound and chessboard estimates. These are one of basic (and rather efficient) tools for proving phase transitions in many models of physical interest. The notes presented hereby summarize the lectures on reflection positivity and its consequences that the author delivered at the Prague Summer School on Mathematical Statistical Mechanics in September 2006. The text features both the classical material on the subject from the late 1970s as well as some of the more recent developments.
dcterms:title
Reflection Positivity and Phase Transitions in Lattice Spin Models Reflection Positivity and Phase Transitions in Lattice Spin Models
skos:prefLabel
Reflection Positivity and Phase Transitions in Lattice Spin Models Reflection Positivity and Phase Transitions in Lattice Spin Models
skos:notation
RIV/60076658:12510/09:00011060!RIV10-MSM-12510___
n3:aktivita
n16:V
n3:aktivity
V
n3:cisloPeriodika
1970
n3:dodaniDat
n8:2010
n3:domaciTvurceVysledku
n13:1888315
n3:druhVysledku
n6:J
n3:duvernostUdaju
n15:S
n3:entitaPredkladatele
n5:predkladatel
n3:idSjednocenehoVysledku
338510
n3:idVysledku
RIV/60076658:12510/09:00011060
n3:jazykVysledku
n9:eng
n3:klicovaSlova
reflection positivity; infrared bound; chessboard estimates; Ising model; Potts model; Heisenberg model; spin systems; mean-field theory; phase transition
n3:klicoveSlovo
n4:infrared%20bound n4:chessboard%20estimates n4:Potts%20model n4:Ising%20model n4:spin%20systems n4:reflection%20positivity n4:phase%20transition n4:Heisenberg%20model n4:mean-field%20theory
n3:kodStatuVydavatele
DE - Spolková republika Německo
n3:kontrolniKodProRIV
[5B48728B6BE0]
n3:nazevZdroje
Methods of Contemporary Mathematical Statistical Physic, Lecture Notes in Mathematics
n3:obor
n17:BB
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:rokUplatneniVysledku
n8:2009
n3:svazekPeriodika
1
n3:tvurceVysledku
Biskup, Marek
n3:wos
000265216400001
s:issn
0075-8434
s:numberOfPages
86
n10:organizacniJednotka
12510