Three-point correlation function in perturbed conformal field theory coupled to twodimensional quantum gravity (perturbed Liouville gravity) is explicitly computed by using the free field approach. The representation considered here is the one recently proposed in [1] to describe the string theory in AdS3 space. Consequently, this computation extends previous results which presented free field ...

We present a novel representation of parse trees as lists of paths (leaf projection paths) from leaves to the top level of the tree. This representation allows us to achieve significantly higher accuracy in the task of HPSG parse selection than standard models, and makes the application of string kernels natural. We define tree kernels via string kernels on projection paths and explore their pe...

Understanding a block of handwritten text means mapping it into a semantic representation, We describe an approach to reading a I>lock of handwritten text when there arc certain loose constraints placed on the spatial layout and syntax 01 the tnt. Early recognition of primitives guides the location of syntactic components. A system to read handwritten postal addresses is described as an instanc...

We represent strings over a finite alphabet by the data structures, called string structs, introduced in the evolving transformation system (ETS) model, which was proposed as a general model for structural object representation and classification and has been formalized recently. Then we describe string languages as classes of structs generated by a finite set of context-sensitive transformatio...

It is shown that a zero curvature representation for D– dimensional p–brane equations of motion originates naturally in the geometric (Lund– Regge– Omnes) approach. To study the possibility to use this zero curvature representation for investigation of nonlinear equations of p– branes, the simplest case of D– dimensional string (p = 1) is considered. The connection is found between the SO(1, 1)...

The loop quantum gravity technique is applied to the free bosonic string. A Hilbert space similar to loop space in loop quantum gravity as well as representations of diffeomorphism and hamiltonian constraints on it are constructed. The string in this representation can be viewed as a set of interacting relativistic particles each carrying a certain momentum. Two different regularizations of the...

The nature of M–theory on K3×I, where I is a line interval, is considered, with a view towards formulating a “matrix theory” representation of that situation. Various limits of this compactification of M–theory yield a number of well known N=1 six dimensional compactifications of the heterotic and type I string theories. Geometrical relations between these limits give rise to string/string dual...

Recently, the use of string kernels that compare documents as a string of letters has been shown to achieve good results on text classiication problems. In this paper we introduce the application of the string kernel in conjunction with syllables. Using syllables shortens the representation of documents and as a result reduces computation time. Moreover syllables provide a more natural represen...