Gibbs states on the symbolic space over an infinite alphabet

2001 ◽  
Vol 125 (1) ◽  
pp. 93-130 ◽  
Author(s):  
R. Daniel Mauldin ◽  
Mariusz Urbański
Keyword(s):  
2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Tomotaka Kuwahara ◽  
Álvaro M. Alhambra ◽  
Anurag Anshu
Keyword(s):  

2008 ◽  
Vol 20 (05) ◽  
pp. 529-595 ◽  
Author(s):  
ALINA KARGOL ◽  
YURI KONDRATIEV ◽  
YURI KOZITSKY

A unified theory of phase transitions and quantum effects in quantum anharmonic crystals is presented. In its framework, the relationship between these two phenomena is analyzed. The theory is based on the representation of the model Gibbs states in terms of path measures (Euclidean Gibbs measures). It covers the case of crystals without translation invariance, as well as the case of asymmetric anharmonic potentials. The results obtained are compared with those known in the literature.


2010 ◽  
Vol 120 (12) ◽  
pp. 2432-2446 ◽  
Author(s):  
Jorge Littin ◽  
Servet Martínez

2014 ◽  
Vol 55 (8) ◽  
pp. 083513 ◽  
Author(s):  
Alexei Daletskii ◽  
Yuri Kondratiev ◽  
Yuri Kozitsky ◽  
Tanja Pasurek
Keyword(s):  

PEDIATRICS ◽  
1961 ◽  
Vol 27 (5) ◽  
pp. 739-739
Author(s):  
ROBERT B. KUGEL

In the forward Frederic A. Gibbs states "Changed attitudes toward feeblemindedness allow the present text to start from a simple, logical, and completely realistic premise, viz., that mental retardation is due to brain disorder." Hopefully, many more physicians accept this statement as correct, but it is unfortunately clear that there are still many physicians who have not yet accepted the fact that mental retardation is a reasonable and profitable area of concern and investigation. The authors carefully and persistently present the mass of information now available to support Gibbs' statement.


1997 ◽  
Vol 11 (01n02) ◽  
pp. 203-211 ◽  
Author(s):  
K. L. Vaninsky

We present two independent approaches for computing the thermodynamics for classical particles interacting via the Moser-Calogero potential Combining the results we conjecture the form of equation of state or, what is equivalent, the asymptotics of the Jacobian between volume elements corresponding to two symplectic structures on the phase space.


1980 ◽  
Vol 11 (2) ◽  
pp. 320-334 ◽  
Author(s):  
Daniel Regan

Too often civilizational analyses remain sealed in a hermetically closed vacuum. Disembodied motifs, designs, and themes tumble over one another in symbolic space, while fragments of Hinduism, Buddhism, and other civilizational complexes vie for idealistic preeminence. Intercivilizational encounters come to resemble pure clashes of ideas, not of individuals or strategic social groups, whose relevance for collective behaviour is minimized. The power of ideas, to mobilize and transform people and be transformed themselves, is thus denied.


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