Probability theory
The infinite differentiability of the speed for excited random walks
[La vitesse d'une marche aléatoire excitée est infiniment différentiable]
Comptes Rendus. Mathématique, Tome 354 (2016) no. 11, pp. 1119-1123.

Nous montrons que la vitesse d'une marche aléatoire excitée sur Zd, d2, est infiniment différentiable par rapport au paramètre de biais dans (0,1).

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 d2.

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://www.numdam.org/articles/10.1016/j.crma.2016.10.012/

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