321 citations · 2.4k across the 166 of their papers we have counts for
4 papers · 1 filter
Symmetry, Integrable Chain Models and Stochastic Processes
Sergio Albeverio, Shao-Ming Fei
A general way to construct chain models with certain Lie algebraic or quantum Lie algebraic symmetries is presented. These symmetric models give rise to series of integrable system…
Integration Approach to Ising Models
Sergio Albeverio, Shao-Ming Fei
An integral representation of the partition function for general -dimensional Ising models with nearest or non-nearest neighbours interactions is given. The representation is us…
A Remark on Integrable Poisson Algebras and Two Dimensional Manifolds
Sergio Albeverio, Shao-Ming Fei
The relations between integrable Poisson algebras with three generators and two-dimensional manifolds are investigated. Poisson algebraic maps are also discussed.
Current Algebraic Structures over Manifolds: Poisson Algebras, q-Deformations and Quantization
Sergio Albeverio, Shao-Ming Fei
Poisson algebraic structures on current manifolds (of maps from a finite dimensional Riemannian manifold into a 2-dimensional manifold) are investigated in terms of symplectic geom…