Geodesic
Probability theory
The infinite differentiability of the speed for excited random walks
[La vitesse d'une marche aléatoire excitée est infiniment différentiable]

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Pham, Cong-Dan1
1 Duy Tan University, Da Nang, Viet Nam
Comptes Rendus. Mathématique, Tome 354 (2016) no. 11, pp. 1119-1123.

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We prove that the speed of the excited random walk is infinitely differentiable with respect to the bias parameter in (0,1) for the dimension d⩾2.

Nous montrons que la vitesse d'une marche aléatoire excitée sur Zd, d⩾2, est infiniment différentiable par rapport au paramètre de biais dans (0,1).

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.10.012

Pham, Cong-Dan 1

1 Duy Tan University, Da Nang, Viet Nam 
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Pham, Cong-Dan. The infinite differentiability of the speed for excited random walks. Comptes Rendus. Mathématique, Tome 354 (2016) no. 11, pp. 1119-1123. doi : 10.1016/j.crma.2016.10.012. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2016.10.012/

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