We construct a phenomenological Landau theory for the two-dimensional helical Fermi liquid found on the surface of a three-dimensional time-reversal invariant topological insulator. In the presence of rotation symmetry, interactions between quasiparticles are described by ten independent Landau parameters per angular momentum channel, by contrast with the two (symmetric and antisymmetric) Landa...

Recently, there has been renewed interest about incomplete security markets. Hart (1975) provided an example of nonexistence of competitive equilibria for incomplete real securities, which are claims to commodity bundles. Given this finding, Duffie and Shafer (1985, 1986a, b) prove generic existence of competitive equilibria of incomplete real security markets. Husseini et al. (1990) Geanakoplo...

Multi-classifier combination based on Dempster-Shafer theory of evidence has demonstrated it’s superior performance. In the approach based on Dempster-Shafer theory, the basic probability assignments for evidence are usually derived from classifiers’ global performance. However, our study discovered that while using classifiers’ global performance as basic probability assignments doesn’t necess...

This paper introduces the idea of using the Dempster-Shafer theory of evidence with qualitative values. Dempster-Shafer theory is a formalism for reasoning under uncertainty which may be viewed as a generalisation of probability theory with special advantages in its treatment of ambiguous data and the ignorance arising from it. Here we are interested in applying the theory when the numbers that...

How to measure gain from the use of intelligent inference ? How can the complexity of the recognition/ classification task be estimated? What is the type of evidence which best suits an .inference mechanism? These questions are addressed here in their theoretical and methodological aspects. Their practical implications are demonstrated with 'real' crop mapping task. For this purpose, simple rul...

In recent years attempts were made to extend the equilibrium existence results of Gale and Mas-Colell (1975, J. Math. Econ. 2, 9 15) and Shafer and Sonnenschein (1975, J. Math. Econ. 2, 345 348) to continuum economies. Here it is shown that the usual conditions used for these attempts force the ``preferred to'' correspondence to be empty-valued almost everywhere on the nonatomic part of the mea...