Published August 8, 2003
| Version v1
Journal article
High-precision entropy values for spanning trees in lattices
Creators
- 1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139 (United States)
- 2. Department of Mathematics, Indiana University, Bloomington, IN 47405-5701 (United States)
Description
Shrock and Wu have given numerical values for the exponential growth rate of the number of spanning trees in Euclidean lattices. We give a new technique for numerical evaluation that gives much more precise values, together with rigorous bounds on the accuracy. In particular, the new values resolve one of their questions
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/36/8361/a33101.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/36/8361/a33101.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/36/31/301;
- PII
- S0305-4470(03)62934-3;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 36
- Journal Issue
- 31
- Journal Page Range
- p. 8361-8365
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35000315
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ENTROPY; EUCLIDEAN SPACE; GRAPH THEORY; LATTICE FIELD THEORY; NUMERICAL ANALYSIS
- Descriptors DEC
- CONSTRUCTIVE FIELD THEORY; FIELD THEORIES; MATHEMATICAL SPACE; MATHEMATICS; PHYSICAL PROPERTIES; QUANTUM FIELD THEORY; RIEMANN SPACE; SPACE; THERMODYNAMIC PROPERTIES