Individual behaviors of oriented walks
نویسنده
چکیده
Given an in nite sequence t= ( k)k of −1 and +1, we consider the oriented walk de ned by Sn(t) = ∑n k=1 1 2 : : : k . The set of t’s whose behaviors satisfy Sn(t) ∼ bn is considered (b ∈ R and 0¡ 61 being xed) and its Hausdor dimension is calculated. A two-dimensional model is also studied. A three-dimensional model is described, but the problem remains open. c © 2000 Elsevier Science B.V. All rights reserved. MSC: 28A78; 42A55; 60G50
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