Erratum to: Tensionless contact of a finite circular plate

In the electronic version of the original article, the issue number shown in the header of the article opening page was wrong. It should be Issue 5 as in Acta Mechanica Sinica (2012) 28(5): 1374-1381.     

Does ignorance promote norm compliance?

A large extent of undetected norm violations may have positive effects for society. If many norm violations are hidden, society seems to be in good order so that actors are more willing to comply with the norms themselves. In this sense, ignorance promotes norm compliance. We challenge this view by arguing that in scenarios, in which norms are controlled and enforced by third parties who receive rewards for their success, the opposite is true: Ignorance promotes norm violations. The reason is that unsuspicious inspectors who believe that little hidden norm violations are committed will spend less effort for detection, some formerly detected norm violations will go undetected, norm targets will be less deterred from the lower detection probability and will commit more norm violations over time. This article develops a respective mathematical model and confirms the above described intuition.     

Visco-penalization of the sum of two monotone operators

A new type of approximating curve for finding a particular zero of the sum of two maximal monotone operators in a Hilbert space is investigated. This curve consists of the zeros of perturbed problems in which one operator is replaced with its Yosida approximation and a viscosity term is added. As the perturbation vanishes, the curve is shown to converge to the zero of the sum that solves a particular strictly monotone variational inequality. As an off-spring of this result, we obtain an approximating curve for finding a particular zero of the sum of several maximal monotone operators. Applications to convex optimization are discussed.     

On p-adic classification

A p-adic modification of the split-LBG classification method is presented in which first clusterings and then cluster centers are computed which locally minimize an energy function. The outcome for a fixed dataset is independent of the prime number p with finitely many exceptions. The methods are applied to the construction of p-adic classifiers in the context of learning.     

Les dispositifs de lutte contre les effets des évanouissements sélectifs dans les faisceaux hertziens numériques

An overview of the countermeasure techniques used in digital radio systems for combatting the effects of selective fading due to multipath propagation is presented. Basic principles are analyzed. Their performances, based upon experimental measurements carried out throughout the world are compared. Frequency diversity techniques and channel interference cancellation techniques specific to a multichannel environment are not investigated. Future trends in the field are finally discussed.