A labelling scheme for higher-dimensional simplex equations
نویسندگان
چکیده
منابع مشابه
A Labelling Scheme for Higher Dimensional Simplex Equations
We present a succinct way of obtaining all possible higher dimensional generalization of Quantum Yang-Baxter Equation (QYBE). Using the scheme, we could generate the two popular three-simplex equations, namely: Zamolodchikov’s tetrahedron equation (ZTE) and Frenkel and Moore equation (FME). E-mail address: [email protected] E-mail address: [email protected] The Quantum Yang-Baxter Equation (Q...
متن کاملCombinatorics of labelling in higher-dimensional automata
The main idea for interpreting concurrent processes as labelled precubical sets is that a given set of n actions running concurrently must be assembled to a labelled n-cube, in exactly one way. The main ingredient is the non-functorial construction called the labelled directed coskeleton. It is defined as a subobject of the labelled coskeleton, the latter coinciding in the unlabelled case with ...
متن کاملHigher categories, strings, cubes and simplex equations
Abstract. This survey of categorical structures, occurring naturally in mathematics, physics and computer science, deals with monoidal categories; various structures in monoidal categories; free monoidal structures; Penrose string notation; 2-dimensional categorical structures; the simplex equations of field theory and statistical mechanics; higher-order categories and computads; the (v,d)-cube...
متن کاملA Genetic Programming-based Scheme for Solving Fuzzy Differential Equations
This paper deals with a new approach for solving fuzzy differential equations based on genetic programming. This method produces some trial solutions and seeks the best of them. If the solution cannot be expressed in a closed analytical form then our method produces an approximation with a controlled level of accuracy. Furthermore, the numerical results reveal the potential of the proposed appr...
متن کاملSimplex Elements Stochastic Collocation in Higher-Dimensional Probability Spaces
A Simplex Elements Stochastic Collocation (SESC) method is introduced for robust and efficient propagation of uncertainty through computational models. The presented non– intrusive Uncertainty Quantification (UQ) method is based on adaptive grid refinement of a simplex elements discretization in probability space. The approach is equally robust as Monte Carlo (MC) simulation in terms of the Ext...
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: Journal of Physics A: Mathematical and General
سال: 1995
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/28/21/002