Journal article
Small Numerators Canceling Small Denominators: Is Dyson's Hierarchical Model Solvable?
Physical review. E, Statistical, nonlinear, and soft matter physics, Vol.63(5), pp.551011-551014
08/05/2000
DOI: 10.1103/PhysRevE.63.055101
Abstract
Phys.Rev. E63 (2001) 055101 We present an analytical method to solve Dyson's hierarchical model,
involving the scaling variables near the high-temperature fixed point. The
procedure seems plagued by the presence of small denominators as in
perturbative expansions near integrable systems in Hamiltonian mechanics.
However, in all cases considered, a zero denominator always comes with a zero
numerator. We conjecture that these cancellations occur in general, suggesting
that the model has remarkable features reminiscent of the integrable systems.
Details
- Title: Subtitle
- Small Numerators Canceling Small Denominators: Is Dyson's Hierarchical Model Solvable?
- Creators
- Y Meurice - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Physical review. E, Statistical, nonlinear, and soft matter physics, Vol.63(5), pp.551011-551014
- DOI
- 10.1103/PhysRevE.63.055101
- NLM abbreviation
- Phys Rev E Stat Nonlin Soft Matter Phys
- ISSN
- 1539-3755
- eISSN
- 1550-2376
- Publisher
- American Physical Society
- Language
- English
- Date published
- 08/05/2000
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199854902771
Metrics
3 Record Views