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>