The properties of one???step Markov, rotationally and m???step (m=1 or 2) translationally invariant (MRT) probability measures on q???state???site (qSS) Bethe lattices are studied. A theorem is proven, which completely defines such measures in terms of m(q2+q) fundamental probabilities. These are explicitly calculated for any MRT???qSS Hamiltonian model. As a consequence of our approach, the dychotomy between alternative solutions of Hamiltonian models on Bethe lattices is solved.
Probability measures and Hamiltonian models on Bethe lattices. I. Properties and construction of MRT probability measures / Peruggi, Fulvio. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 25:11(1984), pp. 3303-3315. [10.1016/0378-4371(84)90110-9]
Probability measures and Hamiltonian models on Bethe lattices. I. Properties and construction of MRT probability measures
PERUGGI, FULVIO
1984
Abstract
The properties of one???step Markov, rotationally and m???step (m=1 or 2) translationally invariant (MRT) probability measures on q???state???site (qSS) Bethe lattices are studied. A theorem is proven, which completely defines such measures in terms of m(q2+q) fundamental probabilities. These are explicitly calculated for any MRT???qSS Hamiltonian model. As a consequence of our approach, the dychotomy between alternative solutions of Hamiltonian models on Bethe lattices is solved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
