The goal of this paper is to present rigorous mathematical formulations and results for Lorentzian models, introduced in physical papers. Lorentzian models represent two dimensional models, where instead of a two-dimensional lattice one considers an ensemble of triangulations of a cylinder, and natural probability measure (Gibbs family) on this ensemble. It appears that correlation functions of...

Non-Abelian gauge theories may have continuum limits in more than four dimensions, supported by non-trivial ultra-violet fixed points. Moreover, such theories can be expected to be accessible to Wilson’s epsilon expansion. We investigate this series for SU(N) Yang-Mills, in particular for the fixed point coupling and exponent ν, up to four loops. From the model-building point of view, such theo...

Local quantum physics of systems with infinitely many interacting degrees of freedom leads to situations whose understanding often requires new physical intuition and mathematical concepts beyond that acquired in quantum mechanics and perturbative constructions in quantum field theory. In this situation twodimensional soluble models turned out to play an important role. On the one hand they ill...

This paper presents two methodologies for estimating the impact of infiltration facilities on reducing stormwater runoff volumes, and pollutant loads, from urban drainage systems. The methodologies have previously been developed using derived probability distribution theory, often referred to in the literature as analytical probabilistic modelling, and differ in that they employ different hydro...

Quantitative data are presented regarding cell proliferation and migration on (a) collagen films (b) the surface of 3-dimensional gels of native collagen fibres and (c) within the 3-dimensional collagen gel matrix, as part of a study of the effects of the extracellular matrix on cell behaviour. The nature of the collagen environment was found to influence the proliferation of certain cell types...

*R. D. Lentz and D.L. Bjorneberg, USDA-ARS, Northwest Irrigation and Soils Research Lab., 3793 N. 3600 E., Kimberly, ID 83341 USA. *Corresponding author: [email protected] ABSTRACT For surface irrigation, the rate and spatial characteristics of infiltration processes influence crop productivity, water use efficiency, and erosion potential of stream flows. A change in infiltration rate a...

The theory presented in this paper differs from previous ones in that no arbitrary loop shape is assumed. Rather a strophoid curve, that is similar to knitted fabric Loop shape, has been assumed as the basic mathematical function. Additionally, the theory is improved by adapting buckled elastic rod theory, leading to a new equation from a certain mathematical curve. This loop model is assumed t...