Comptes Rendus
no. 11
Probability theory
The infinite differentiability of the speed for excited random walks
[La vitesse d'une marche aléatoire excitée est infiniment différentiable]

Présenté par : the Editorial Board

Cong-Dan Pham1
1 Duy Tan University, Da Nang, Viet Nam
Comptes Rendus. Mathématique, Volume 354 (2016) no. 11, pp. 1119-1123.

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).

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.

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

Cong-Dan Pham 1

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

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