Limit theorems for sums of dependent random variables occurring in statistical mechanics

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete

Volumn 44, Issue 2, 1978, Pages 117-139

  Ellis, Richard S ^a   Newman, Charles M ^b  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

^b INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008999076     PISSN: 00443719     EISSN: 14322064     Source Type: Journal    
DOI: 10.1007/BF00533049     Document Type: Article

References (26)

1. Critical indices for Dyson's asymptotically hierarchical models
2. Ising model for the λ transition and phase separation in He3-He4 mixtures
3. Phase transitions
4. Multicomponent field theories and classical rotators
5. The GHS and other correlation inequalities for a class of even ferromagnets
6. Necessary and sufficient conditions for the GHS inequality with applications to probability and analysis
7. Limit theorems for multi-dimensional Markov processes
8. Concavity of magnetization of an Ising ferromagnet in a positive external field
9. Mathematical mechanisms of phase transitions
10. Scaling, universality, and operator algebras
11. Limit theorems on the self-normalized range for weakly and strongly dependent processes
12. Gibbs states in the spherical model
13. Multidimensional local limit theorems for large deviations
14. The (ϑ)24 field theory as a classical Ising model
15. Approximate integration formulae for certain spherically symmetric regions
16. Weak convergence to fractional Brownian motion and to the Rosenblatt process