System of Recursive Equations for the Partition Functions of 1D Models

被引：2
作者：
Rozikov, U. A. [1 ]
机构：
[1] Inst Math & Informat Technol, 29 Dormon Yoli Str, Tashkent 100125, Uzbekistan
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2011年 / 32卷 / 02期
关键词：
One-dimension; configuration; partition function; recursive equation;
D O I：
10.1134/S1995080211020120
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we consider several kind of partition functions of one-dimensional models with nearest - neighbor interactions In, n is an element of Z and spin values +/- 1. We derive systems of recursive equations for each kind of such functions. These systems depend on parameters In, n is an element of Z. Under some conditions on the parameters we describe solutions of the systems of recursive equations.
引用
收藏
页码：109 / 113
页数：5
相关论文
共 14 条
[1]   SYSTEMS, MEMORY, CAUSALITY, EVOLUTION AND RECURSIVE EQUATIONS [J].
DALESSANDRO, P ;
DALLAMORA, M .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1984, 10 (01) :61-69
[2]  
Devaney R. L., 2003, INTRO CHAOTIC DYNAMI, DOI 10.4324/9780429502309
[3]  
Dobrushin R. L., 1968, FUNCTIONAL ANAL APPL, V2, P292, DOI DOI 10.1007/BF01075681
[4]   PRESCRIBING A SYSTEM OF RANDOM VARIABLES BY CONDITIONAL DISTRIBUTIONS [J].
DOBRUSHIN, RL .
THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1970, 15 (03) :458-+
[5]   On quadratic stochastic operators generated by Gibbs distributions [J].
Ganikhodzhaev, N. N. ;
Rozikov, U. A. .
REGULAR & CHAOTIC DYNAMICS, 2006, 11 (04) :467-473
[6]  
Georgii H-O., 1988, GIBBS MEASURES PHASE
[7]   A RECURSIVE EQUATIONS BASED REPRESENTATION OF THE G G M QUEUE [J].
KRIVULIN, NK .
APPLIED MATHEMATICS LETTERS, 1994, 7 (03) :73-77
[8]   On a recursive equation over a p-adic field [J].
Mukhamedov, Farrukh .
APPLIED MATHEMATICS LETTERS, 2007, 20 (01) :88-92
[9]  
Niven I., 1965, MATH CHOICE, V15
[10]   Countably periodic Gibbs measures of the Ising model on the Cayley tree [J].
Rozikov, UA .
THEORETICAL AND MATHEMATICAL PHYSICS, 2002, 130 (01) :92-100
12