Some characterizations of the n-dimensional Peano derivative
Isreal Zirman (1978)
Studia Mathematica
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Isreal Zirman (1978)
Studia Mathematica
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Calixto Calderón (1971)
Studia Mathematica
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Elena Kosygina, Thomas Mountford (2011)
Annales de l'I.H.P. Probabilités et statistiques
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We consider excited random walks (ERWs) on ℤ with a bounded number of i.i.d. cookies per site without the non-negativity assumption on the drifts induced by the cookies. Kosygina and Zerner [15] have shown that when the total expected drift per site, , is larger than 1 then ERW is transient to the right and, moreover, for >4 under the averaged measure it obeys the Central Limit Theorem. We show that when ∈(2, 4] the limiting behavior of an appropriately centered and scaled excited...
A. J. Stam (1968)
Compositio Mathematica
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O. Blasco (1987)
Studia Mathematica
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H. Kesten, M. V. Kozlov, F. Spitzer (1975)
Compositio Mathematica
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R. Coifman, Guido Weiss (1970)
Studia Mathematica
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M. B. Levin (1996)
Journal de théorie des nombres de Bordeaux
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We construct a Markov normal sequence with a discrepancy of . The estimation of the discrepancy was previously known to be .
Lynn Williams, J. Wells, T. Hayden (1971)
Studia Mathematica
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