TY - JOUR
T1 - Hausdorff dimension of harmonic measures on negatively curved manifolds
AU - Kifer, Yuri
AU - Ledrappier, Francois
PY - 1990/4
Y1 - 1990/4
N2 - We show by probabilistic means that harmonic measures on manifolds, whose curvature is sandwiched between two negative constants have positive Hausdorff dimensions. A lower bound for harmonic measures of open sets is derived, as we l. We end with the results concerning the Hausdorff dimension of harmonic measures on universal covers of compact negatively curved manifolds.
AB - We show by probabilistic means that harmonic measures on manifolds, whose curvature is sandwiched between two negative constants have positive Hausdorff dimensions. A lower bound for harmonic measures of open sets is derived, as we l. We end with the results concerning the Hausdorff dimension of harmonic measures on universal covers of compact negatively curved manifolds.
UR - http://www.scopus.com/inward/record.url?scp=0348181413&partnerID=8YFLogxK
U2 - 10.1090/S0002-9947-1990-0951889-7
DO - 10.1090/S0002-9947-1990-0951889-7
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AN - SCOPUS:0348181413
SN - 0002-9947
VL - 318
SP - 685
EP - 704
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 2
ER -