TY - JOUR ID - 964 TI - The concentration function problem for $G$-spaces JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Mojahedi Moakhar, M.S. AD - Department of Mathematics‎, ‎Tarbiat Modares University‎, ‎Tehran 14115-134‎, ‎Iran. Y1 - 2017 PY - 2017 VL - 43 IS - 3 SP - 763 EP - 769 KW - Concentration function‎ KW - ‎irreducible‎ KW - ‎spread-out‎ KW - ‎stationary measure‎ DO - N2 - ‎In this note‎, ‎we consider the concentration function problem for a continuous action of a locally compact group $G$ on a locally compact Hausdorff space $X$‎. ‎We prove a necessary and sufficient condition for the concentration functions of a‎ ‎spread-out irreducible probability measure $\mu$ on $G$ to converge to zero. UR - http://bims.iranjournals.ir/article_964.html L1 - http://bims.iranjournals.ir/article_964_1896a9ee98295b306dd85cddf8f84de2.pdf ER -