Covariant perturbation theory allows one to calculate the nonlocal kernel of evolution equation on a spin Riemannian manifold. The proposed axiomatic definition effective action introduces universal scale parameter with dimension square distance into dimensionless mathematical theory. It is shown that this purely geometric result has physical meaning field theory, including gravity. two lowest ...

Support for the Axiomatic Method. imps supports the “little theories” version of the axiomatic method, as opposed to the “big theory” version. In the big theory approach, all reasoning is carried out within one theory—usually some highly expressive theory, such as the Zermelo-Fraenkel set theory. In the little theories approach, reasoning is distributed over a network of theories. Results are t...

Concurrency theory, as developed by Carl Adam Petri, is an axiomatic theory of binary relations of concurrency (co) and causality (li). This work deals with interactions between axioms and studies properties of concurrency structures, the models of this theory. In contrast to other treatments concurrency theory will be investigated in its general form, which does not require an underlying parti...

Axiomatic characterizations of Shannon entropy, Kullback I-divergence, and some generalized information measures are surveyed. Three directions are treated: (A) Characterization of functions of probability distributions suitable as information measures. (B) Characterization of set functions on the subsets of {1, . . . , N} representable by joint entropies of components of an N -dimensional rand...

This note adds to the recent spate of derivations of the probabilistic apparatus of finite-dimensional quantum theory from various axiomatic packages. We offer two different axiomatic packages that lead easily to the Jordan algebraic structure of finite-dimensional quantum theory. The derivation relies on the Koecher-Vinberg Theorem, which sets up an equivalence between order-unit spaces having...

The increasing serial cost sharing rule of Moulin and Shenker (Econometrica 60:1009–1037, 1992) and the decreasing serial rule of de Frutos (J Econ Theory 79:245–275, 1998) are known by their intuitive appeal and striking incentive properties. An axiomatic characterization of the increasing serial rule was provided by Moulin and Shenker (J Econ Theory 64:178–201, 1994). This paper gives an axio...

the present paper is an attempt to apply bourdieu’s field theory to the political field of the islamic republic of iran. the concept of field, as explained by bourdieu, provides a suitable theoretical framework to identify and explain the complexities and intricacies of different behaviors of this system and analyze its absolutely different practices in domestic and international arenas.  the m...

We provide an axiomatic foundation for the measurement of correlation diversification in a one-period portfolio model. propose set eight desirable axioms this class measures. name measures satisfying these coherent study compatibility our with rank-dependent expected utility theory. also test them against two most frequently used methods measuring theory: variance and ratio. Lastly, we example ...