Cells of Voronoi diagrams in two dimensions are usually considered as having edges of zero width. However, this is not the case in several experimental situations in which the thickness of the edges of the cells is relatively large. In this paper, the concept of a thick Voronoi tessellation,...

We develop a framework based on microeconomic theory from which the ideal gas like market models can be addressed. A kinetic exchange model based on that framework is proposed and its distributional features have been studied by considering its moments. Next, we derive the moments of the CC...

Starting from the generalized exponential function <InlineEquation ID="Equ1"> <EquationSource Format="TEX">$\exp_{\kappa}(x)=(\sqrt{1+\kappa^{2}x^{2}}+\kappa x)^{1/\kappa}$</EquationSource> </InlineEquation>, with exp <Subscript>0</Subscript>(x)=exp (x), proposed in reference [G. Kaniadakis, Physica A <Emphasis Type="Bold">296, 405 (2001)], the survival function P<Subscript></Subscript>(x)=exp <Subscript>κ</Subscript>(-βx<Superscript>α</Superscript>), where x∈R<Superscript>+</Superscript>, α,β0, and <InlineEquation ID="Equ2"> <EquationSource Format="TEX">$\kappa\in[0,1)$</EquationSource>...</equationsource></inlineequation></superscript></superscript></subscript></subscript></emphasis></subscript></equationsource></inlineequation>

The correlation function of a one-dimensional interface over a random substrate, bound to the substrate by a pressure term, is studied by Monte-Carlo simulation. It is found that the height correlation 〈h<Subscript>i</Subscript>;h<Subscript>i+j</Subscript> 〉, averaged over the substrate disorder, fits a form $ae^{-(j/b)^c}$ to a...</subscript></subscript>