Integrable systems via polynomial inverse integrating factors
نویسندگان
چکیده
منابع مشابه
Normalization Factors, Reflection Amplitudes and Integrable Systems
We calculate normalization factors and reflection amplitudes in the Winvariant conformal quantum field theories. Using these CFT data we derive vacuum expectation values of exponential fields in affine Toda theories and related perturbed conformal field theories. We apply these results to evaluate explicitly the expectation values of order parameters in the field theories associated with statis...
متن کاملIntegrable Mappings and Polynomial Growth
We describe birational representations of discrete groups generated by involutions, having their origin in the theory of exactly solvable vertex-models in lattice statistical mechanics. These invo-lutions correspond respectively to two kinds of transformations on q × q matrices: the inversion of the q × q matrix and an (involutive) permutation of the entries of the matrix. We concentrate on the...
متن کاملMorphisms and Inverse Problems for Darboux Integrating Factors
Polynomial vector fields which admit a prescribed Darboux integrating factor are quite well-understood when the geometry of the underlying curve is nondegenerate. In the general setting morphisms of the affine plane may remove degeneracies of the curve, and thus allow more structural insight. In the present paper we establish some properties of integrating factors subjected to morphisms, and we...
متن کاملPolynomial and Inverse Forms
In a recent paper, this author studied invariant ideals in abelian group algebras under the action of certain infinite, locally finite, quasi-simple groups. While the main result was reasonably definitive, there are nevertheless certain natural extensions that should be considered. One approach to a proof of such extensions is to improve the basic tools that were used in the original work. Howe...
متن کاملPolynomial Residue Systems via Unitary Transforms
A polynomial, A(z), can be represented by a polynomial residue system and, given enough independent residues, the polynomial can be reconstituted from its residues by the Chinese remainder theorem (CRT). A special case occurs when the discrete Fourier transform and its inverse realise the residue evaluations and CRT respectively, in which case the residue system is realised by the action of a m...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin des Sciences Mathématiques
سال: 2002
ISSN: 0007-4497
DOI: 10.1016/s0007-4497(02)01111-9