作者：De Jeu, M
作者单位：Leiden University; Leiden University - Excl LUMC
摘要：We prove in a direct fashion that a multidimensional probability measure mu is determinate if the higher-dimensional analogue of Carleman's condition is satisfied. In that case, the polynomials, as well as certain proper subspaces of the trigonometric functions, are dense in all associated L-p-spaces for 1 less than or equal to p < infinity. In particular these three statements hold if the reciprocal of a quasi-analytic weight has finite integral under mu. We give practical examples of such we...
作者：Limic, V
作者单位：University of British Columbia
摘要：Using martingale techniques and comparison with the generalized Urn scheme, it is shown that the edge reinforced random walk on a graph of bounded degree, with the weight function W(k) = k(rho), rho > 1, traverses (crosses) a random attracting edge at all large times. If the graph is a triangle, the above result is in agreement with a conjecture of Sellke.
