We propose a discrete model whose continuum limit reproduces the string susceptibility and the scaling dimensions of (2, 4m)-minimal superconformal models coupled to 2D-supergravity. The basic assumption in our presentation is a set of super-Virasoro constraints imposed on the partition function. We recover the Neveu-Schwarz and Ramond sectors of the theory, and we are also able to evaluate all...

Modularity was introduced as a measure of goodness for the community structure induced by a partition of the set of vertices in a graph. Then, it also became an objective function used to find good partitions, with high success. Nevertheless, some works have shown a scaling limit and certain instabilities when finding communities with this criterion. Modularity has been studied proposing severa...

We study the double scaling limit of mKdV type, realized in the two-cut Hermitian matrix model. Building on the work of Periwal and Shevitz and of Nappi, we find an exact solution including all odd scaling operators, in terms of a hierarchy of flows of 2× 2 matrices. We derive from it loop equations which can be expressed as Virasoro constraints on the partition function. We discover a “pure to...

The equation (1) arises from an intrinsic (arc-length preserving) invariant planar curve flow in Euclidean geometry and it can be regarded as a Euclidean-invariant version of the Camassa-Holm equation in [1]. It has the form of a modified Camassa-Holm equation with cubic nonlinearity. By Fuchssteiner [2] and Olver and Rosenau[3], it can be derived as a new integrable system by applying the gene...

We establish a connection between the uniform infinite planar triangulation and some critical time-reversed branching process. This allows to find a scaling limit for the principal boundary component of a ball of radius R for large R (i.e. for a boundary component separating the ball from infinity). We show also that outside of R-ball a contour exists that has length linear in R. Introduction T...

The question of scaling of 2MpWI and v W2 as a function of w is discussed. Scaling is verified for a large kinematic range. Also, a new scaling variable which reduces to w in the Bjorken limit is introduced which extends the scaling region. The behavior of crT and us are also discussed as a function of v and q2a Various weighted sum rules of v W2 are evaluated. (Submitted to Phys. Rev. Letters....

A two parameter family of multiresolution analyses of L 2 (R 2) each generated by three orthogonal, continuous, compactly supported scaling functions is constructed using fractal interpolation surfaces. The scaling functions remain orthogonal when restricted to certain triangles making them useful for problems with bounded domains. In the usual construction of a wavelet using a multiresolution ...

Recent advances in metabolic scaling theory have highlighted the importance of exchange surfaces and vascular network geometry in understanding the integration and scaling of whole-plant form and function. Additional work on leaf form and function has also highlighted general scaling relationships for many leaf traits. However, it is unclear if a common theoretical framework can reveal the gene...