Nous montrons que la vitesse d'une marche aléatoire excitée sur , , est infiniment différentiable par rapport au paramètre de biais dans .
We prove that the speed of the excited random walk is infinitely differentiable with respect to the bias parameter in for the dimension .
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@article{CRMATH_2016__354_11_1119_0, author = {Pham, Cong-Dan}, title = {The infinite differentiability of the speed for excited random walks}, journal = {Comptes Rendus. Math\'ematique}, pages = {1119--1123}, publisher = {Elsevier}, volume = {354}, number = {11}, year = {2016}, doi = {10.1016/j.crma.2016.10.012}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2016.10.012/} }
TY - JOUR AU - Pham, Cong-Dan TI - The infinite differentiability of the speed for excited random walks JO - Comptes Rendus. Mathématique PY - 2016 SP - 1119 EP - 1123 VL - 354 IS - 11 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2016.10.012/ DO - 10.1016/j.crma.2016.10.012 LA - en ID - CRMATH_2016__354_11_1119_0 ER -
%0 Journal Article %A Pham, Cong-Dan %T The infinite differentiability of the speed for excited random walks %J Comptes Rendus. Mathématique %D 2016 %P 1119-1123 %V 354 %N 11 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2016.10.012/ %R 10.1016/j.crma.2016.10.012 %G en %F CRMATH_2016__354_11_1119_0
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://archive.numdam.org/articles/10.1016/j.crma.2016.10.012/
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