We solve exactly the 6-vertex model on a dynamical random lattice, using its representation as a large N matrix model. The model describes a gas of dense nonintersecting oriented loops coupled to the local curvature defects on the lattice. The model can be mapped to the c = 1 string theory, compactified at some length depending on the vertex coupling. We give explicit expression for the disk am...

Inheriting from a long experience about modules, objects and interfaces, component programming has emerged as a programming methodology ensuring both re-usability and composability. Among the components models, Fractal [6] provides hierarchical composition for a better structure, and specification of control interfaces for dynamic management. Fractal defines a highly extensible component model ...

the purpose of this study is to identify the effect of ordinary kriging (ok) and inverse distance weighted (idw) estimation methods for the delineation of mineralized zones based on subsurface data using concentration–volume (c–v) multifractal modeling in the dardevey iron ore deposit, ne iran. variograms and anisotropic ellipsoid were generated for the fe distribution by the above estimation m...

We use the fractional integrals in order to describe dynamical processes in the fractal medium. We consider the ‘‘fractional’’ continuous medium model for the fractal media and derive the fractional generalization of the equations of balance of mass density, momentum density, and internal energy. The fractional generalization of Navier–Stokes and Euler equations are considered. We derive the eq...

we start this article by rebuilding higher operads of weak higher transformations, and correct those in cite{cambat}. as in cite{cambat} we propose an operadic approach for weak higher $n$-transformations, for each $ninmathbb{n}$, where such weak higher $n$-transformations are seen as algebras for specific contractible higher operads. the last chapter of this article asserts that, up to precise...

We numerically investigate the fractal structure of two-dimensional quantum gravity coupled to matter central charge c for −2 ≤ c ≤ 1. We reformulate Q-state Potts model into the model which can be identified as a weighted percolation cluster model and can make continuous change of Q, which relates c, on the dynamically triangulated lattice. The c-dependence of the critical coupling is measured...

We study the complexity of geometric problems on spaces of low fractal dimension. It was recently shown by [Sidiropoulos & Sridhar, SoCG 2017] that several problems admit improved solutions when the input is a pointset in Euclidean space with fractal dimension smaller than the ambient dimension. In this paper we prove nearly-matching lower bounds, thus establishing nearly-optimal bounds for var...