ar X iv : m at h / 05 08 20 7 v 1 [ m at h . R A ] 1 1 A ug 2 00 5 ON DETERMINING MINIMAL SPECTRALLY ARBITRARY PATTERNS

ar X iv : m at h / 05 08 29 7 v 1 [ m at h . ST ] 1 6 A ug 2 00 5 CONVERGENCE OF ESTIMATORS IN LLS ANALYSIS

We establish necessary and sufficient conditions for consistency of estimators of mixing distribution in linear latent structure analysis.

ar X iv : m at h / 06 08 37 7 v 1 [ m at h . R T ] 1 5 A ug 2 00 6 ALGEBRAS OF DERIVED DIMENSION ZERO

ar X iv : m at h / 05 08 44 5 v 1 [ m at h . L O ] 2 4 A ug 2 00 5 INVARIANT MEASURES IN LUKASIEWICZ LOGIC

We prove that on the finitely generated free MV-algebras the only automorphism-invariant truth averaging process that detects pseudotrue propositions is the integral with respect to Lebesgue measure.

ar X iv : m at h / 02 08 08 7 v 1 [ m at h . O A ] 1 1 A ug 2 00 2 WHEN ARE CROSSED PRODUCTS BY MINIMAL DIFFEOMORPHISMS ISOMORPHIC ?

We discuss the isomorphism problem for both C* and smooth crossed products by minimal diffeomorphisms. For C* crossed products, examples demonstrate the failure of the obvious analog of the Giordano-PutnamSkau Theorem on minimal homeomorphisms of the Cantor set. For smooth crossed products, there are many open problems.

ar X iv : m at h / 05 08 63 6 v 1 [ m at h . SG ] 3 1 A ug 2 00 5 Cotangent bundle reduction

This encyclopedia article briefly reviews without proofs some of the main results in cotangent bundle reduction. The article recalls most the necessary prerequisites to understand the main