 |
|
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers) The five-vertex model and boxed plane partitions V. S. Kapitonova, A. G. Pronkob a State Technological Institute of St. Petersburg b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences Abstract: Boxed plane partitions are considered in terms of the five-vertex model on a finite lattice with fixed boundary conditions. Assuming that all weights of the model have the same value, the one-point correlation function describing the probability of having a given state on an arbitrary horizontal edge of the lattice is calculated. This is equivalent to the enumeration of boxed plane partitions that correspond to rhombus tilings of a hexagon with one fixed rhombus of a particular type. The solution of the problem is given for the case of a box of generic size. Bibl. – 27 titles.  Full text:
PDF file (262 kB)
References:
PDF file
HTML file
English version: Journal of Mathematical Sciences (New York), 2009, 158:6,  Bibliographic databases:  
UDC: 517.958 Received: 10.12.2008 Citation: V. S. Kapitonov, A. G. Pronko, “The five-vertex model and boxed plane partitions”, Representation theory, dynamics systems, combinatorial methods. Part XVI, Zap. Nauchn. Sem. POMI, 360, POMI, St. Petersburg, 2008, 
Citation in format AMSBIB
\Bibitem{KapPro08}Linking options:
Citing articles on Google Scholar: Russian citations, English citations Related articles on Google Scholar: Russian articles, English articles This publication is cited in the following articles:
|
|
||||||||||||||||||||||||||||||||||||||||||
|
|
Contact us: |
 Terms of Use
|
Registration |
Logotypes |
|