A random tiling of rectangles and triangles displaying a decagonal phase is solved by Bethe Ansatz. Analogously to the solutions of the dodecagonal square triangle and the octagonal rectangle triangle tiling an exact expression for the maximum of the entropy is found. PACS numbers: 05.20.-y, 05.50.+q, 04.20.Jb, 61.44.Br Short title: Solution of a decagonal random tiling February 1, 2008 † Elect...

We present a syntactic annotation scheme for spoken French that is currently used in the Rhapsodie project. This annotation is dependency-based and includes coordination and disfluency as analogously encoded types of paradigmatic phenomena. Furthermore, we attempt a thorough definition of the discourse units required by the systematic annotation of other phenomena beyond usual sentence boundari...

We define and study the noncommutative spectral flow for paths of regular selfadjoint Fredholm operators on a Hilbert C∗-module. We give an axiomatic description and discuss some applications. One of them is the definition a noncommutative Maslov index for paths of Lagrangians which appears in a splitting formula for the spectral flow. Analogously we study the spectral flow for odd operators on...

The main definition. A parametrized curve : I ! R n is called nonde-generate if for any t 2 I the vectors 0 (t); : : : ; (n) (t) are linearly independent. Analogously : I ! S n is called nondegenerate if for any t 2 I the covariant derivatives 0 (t); : : : ; (n) (t) span the tangent hyperplane to S n at the point (t) (compare with the notion of n-freedom in G]).

A positive, di eomorphism-invariant generalized measure on the space of metrics of a two-dimensional smooth manifold is constructed. We use the term generalized measure analogously with the generalized measures of Ashtekar and Lewandowski and of Baez. A family of actions is presented which, when integrated against this measure give the two-dimensional axiomatic topological quantum eld theories,...

We use unified algebraic methods to investigate the properties of polynomial Bezoutians with respect to a general basis. Not only can three known results be easily verified, but also some new properties of polynomial Bezoutians are obtained. Nonsymmetric Lyapunov-type equations of polynomial Bezoutians are also discussed. It turns out that most properties of classical Bezoutians can be analogou...

We introduce fractal Tsallis entropy and show that it satisfies Shannon–Khinchin axioms. Analogously to divergence (or relative entropy, according some authors), is defined properties of are studied. Within this framework, Lesche stability verified an example concerning the microcanonical ensemble given. generalize LMC complexity measure (LMC Lopez-Ruiz, Mancini Calbert), apply a two-level syst...

Abstract We prove that the homotopic distance between two maps defined on a manifold is bounded above by sum of their subspace distances critical submanifolds any Morse–Bott function. This generalizes Lusternik–Schnirelmann theorem (for Morse functions) and similar result Farber for topological complexity. Analogously, we that, analytic manifolds, submanifold its cut locus. As an application, s...

In the present paper we study representations of Jacobi algebra. More concretely, define, analogously to case semi-simple Lie algebras, Verma modules over algebra ${\cal G}_2$. We their reducibility and give explicit construction reducible exhibiting corresponding singular vectors. Using this information a complete classification modules. than exhibit interrelation embeddings between these Thes...

We show that, in any space-time dimension, the on-shell (electric) conformal Carrollian scalar can be interpreted as flat-space limit of singleton representation algebra. In fact, a recently proposed higher-spin algebra for Minkowski spacetime amounts to Poincar\'e enveloping on corresponding module. This is contraction that entering Vasiliev's equations, which constructed analogously from also...