Nous corrigeons une erreur dans [5, Proposition 2.16] et nous détaillons les modifications à apporter aux démonstrations des principaux résultats.
We correct an error in [5, Proposition 2.16], and explain the subsequent changes in the proof of the main results.
Accepté le :
Publié le :
Keywords: formal adjoint, Martin kernel, stochastic entropy
Mot clés : adjoint formel, noyau de Martin, entropie stochastique
Ledrappier, François 1 ; Shu, Lin 2
@article{AIF_2021__71_1_89_0, author = {Ledrappier, Fran\c{c}ois and Shu, Lin}, title = {Corrigendum to {{\textquotedblleft}Differentiating} the stochastic entropy in negatively curved spaces under conformal changes{\textquotedblright}}, journal = {Annales de l'Institut Fourier}, pages = {89--96}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {71}, number = {1}, year = {2021}, doi = {10.5802/aif.3389}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3389/} }
TY - JOUR AU - Ledrappier, François AU - Shu, Lin TI - Corrigendum to “Differentiating the stochastic entropy in negatively curved spaces under conformal changes” JO - Annales de l'Institut Fourier PY - 2021 SP - 89 EP - 96 VL - 71 IS - 1 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3389/ DO - 10.5802/aif.3389 LA - en ID - AIF_2021__71_1_89_0 ER -
%0 Journal Article %A Ledrappier, François %A Shu, Lin %T Corrigendum to “Differentiating the stochastic entropy in negatively curved spaces under conformal changes” %J Annales de l'Institut Fourier %D 2021 %P 89-96 %V 71 %N 1 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.3389/ %R 10.5802/aif.3389 %G en %F AIF_2021__71_1_89_0
Ledrappier, François; Shu, Lin. Corrigendum to “Differentiating the stochastic entropy in negatively curved spaces under conformal changes”. Annales de l'Institut Fourier, Tome 71 (2021) no. 1, pp. 89-96. doi : 10.5802/aif.3389. https://aif.centre-mersenne.org/articles/10.5802/aif.3389/
[1] Negatively curved manifolds, elliptic operators, and the Martin boundary, Ann. Math., Volume 125 (1987) no. 3, pp. 495-536 | DOI | MR | Zbl
[2] Harmonic measures for compact negatively curved manifolds, Acta Math., Volume 178 (1997) no. 1, pp. 39-107 | DOI | MR | Zbl
[3] Brownian motion and harmonic functions on covering manifolds. An entropic approach, Dokl. Akad. Nauk SSSR, Volume 288 (1986) no. 5, pp. 1045-1049 | MR | Zbl
[4] Brownian motion on foliations: entropy, invariant measures, mixing, Funkts. Anal. Prilozh., Volume 22 (1988) no. 4, pp. 82-83 Russian, translation in Funct. Anal. Appl. 22 (1988), no. 4, p. 326-328 | DOI | MR
[5] Differentiating the stochastic entropy for compact negatively curved spaces under conformal changes, Ann. Inst. Fourier, Volume 67 (2017) no. 3, pp. 1115-1183 | DOI | Numdam | MR | Zbl
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