Les fonctions de Green d’un opérateur stochastique sur un produit de groupes cycliques sont évaluées explicitement comme fonctions algébriques. Les spectres sont étudiés par l’argument de la théorie de Morse.
Green functions of a stochastic operator on a free product of cyclic groups are explicitly evaluated as algebraic functions. The spectra are investigated by Morse theoretic argument.
@article{AIF_1988__38_1_59_0, author = {Aomoto, K. and Kato, Y.}, title = {Green functions and spectra on free products of cyclic groups}, journal = {Annales de l'Institut Fourier}, pages = {59--85}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {38}, number = {1}, year = {1988}, doi = {10.5802/aif.1123}, mrnumber = {89m:58201}, zbl = {0639.60008}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.1123/} }
TY - JOUR AU - Aomoto, K. AU - Kato, Y. TI - Green functions and spectra on free products of cyclic groups JO - Annales de l'Institut Fourier PY - 1988 SP - 59 EP - 85 VL - 38 IS - 1 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/articles/10.5802/aif.1123/ DO - 10.5802/aif.1123 LA - en ID - AIF_1988__38_1_59_0 ER -
%0 Journal Article %A Aomoto, K. %A Kato, Y. %T Green functions and spectra on free products of cyclic groups %J Annales de l'Institut Fourier %D 1988 %P 59-85 %V 38 %N 1 %I Institut Fourier %C Grenoble %U http://archive.numdam.org/articles/10.5802/aif.1123/ %R 10.5802/aif.1123 %G en %F AIF_1988__38_1_59_0
Aomoto, K.; Kato, Y. Green functions and spectra on free products of cyclic groups. Annales de l'Institut Fourier, Tome 38 (1988) no. 1, pp. 59-85. doi : 10.5802/aif.1123. http://archive.numdam.org/articles/10.5802/aif.1123/
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