A new method to compute the symplectic structure of a quantum field theory with non trivial boundary conditions is proposed. Following the suggestion in [1, 2], we regard that the boundary conditions are second class constraints in the sense of the Dirac’s method. However, we show that this proposal is more useful if we consider an inverse of the Holographic map between a theory defined in the ...

Consistent phoneme segmentation is essential in building high quality Text-to-Speech (TTS) voice fonts. In this paper we propose to adapt an existing well-trained Context Dependent Boundary Model (CDBM) for refining segment boundaries to a new speaker with limited, manually segmented data. Three adaptation approaches: MLLR, MAP, and a combination of the two, are studied. The combined one, MLLR+...

The principal result of this paper is a reduction of the word problem for one relator semigroups. Crudely, a relator (w,w′) on the alphabet X is achievable if the letters in the relator can actively participate in sequences of transitions for the semigroup presentation 〈X ; (w,w′)〉. (A precise definition of achievable relators is given in section 3.) Empirically, achievable relators are rare. W...

We prove an index theorem for boundary value problems in Boutet de Monvel’s calculus on a compact manifold X with boundary. The basic tool is the tangent semigroupoid T −X generalizing the tangent groupoid defined by Connes in the boundaryless case, and an associated continuous field C∗ r (T −X) of C∗-algebras over [0, 1]. Its fiber in ~ = 0, C∗ r (T−X), can be identified with the symbol algebr...

We study the question of whether one can uniquely determine scalar quasilinear conductivity in an anisotropic medium by making voltage and current measurements at boundary. prove a global uniqueness $ C^{2,\alpha} category, showing that be determined boundary, i.e., Dirichlet to Neumann map, assuming linear identified its map up diffeomorphism fixes

Dynamic analysis of the coupled logistic map redounds to know and predict the characteristics of high-dimension complex nonlinear system. Using the method combining calculation and experiment, the following conclusions are shown: (1) The boundary equation of the first bifurcation of the coupled logistic map in the parameter space is given out. (2) Chaotic patterns of the coupled logistic map ma...

Let X be a compact 2-manifold with nonempty boundary ∂X and let f : (X, ∂X) → (X, ∂X) be a boundary-preserving map. Denote by MF∂ [f ] the minimum number of fixed point among all boundary-preserving maps that are homotopic through boundary-preserving maps to f . The relative Nielsen number N∂(f) is the sum of the number of essential fixed point classes of the restriction f̄ : ∂X → ∂X and the num...

Motivated by boundary problems for linear differential equations, we define an abstract boundary problem as a pair consisting of a surjective linear map (“differential operator”) and an orthogonally closed subspace of the dual space (“boundary conditions”). Defining the composition of boundary problems corresponding to their Green’s operators in reverse order, we characterize and construct all ...

We study spatially periodic orbits for a coupled map lattice of sine circle maps with nearest neighbour coupling and periodic boundary conditions. The stability analysis for an arbitrary spatial period k is carried out in terms of the independent variables of the problem and the stability matrix is reduced to a neat block diagonal form. For a lattice of size kN , we show that the largest eigenv...