TY - JOUR
T1 - Corrigendum and Addendum
T2 - Identification of the Polaron Measure I: Fixed Coupling Regime and the Central Limit Theorem for Large Times
AU - Mukherjee, Chiranjib
AU - Varadhan, S. R.S.
N1 - Publisher Copyright:
© 2022 Wiley Periodicals LLC.
PY - 2022/7
Y1 - 2022/7
N2 - The proof of [7, theorem 4.8] for large coupling constant α has a gap (while the proof remains correct for small α). We correct this error by giving a direct proof of [7, theorem 4.8], which holds for any coupling parameter α > 0. Consequently, the main results of [7] on existence and identification of the Polaron measure and its CLT now hold for any α > 0.
AB - The proof of [7, theorem 4.8] for large coupling constant α has a gap (while the proof remains correct for small α). We correct this error by giving a direct proof of [7, theorem 4.8], which holds for any coupling parameter α > 0. Consequently, the main results of [7] on existence and identification of the Polaron measure and its CLT now hold for any α > 0.
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U2 - 10.1002/cpa.22052
DO - 10.1002/cpa.22052
M3 - Article
AN - SCOPUS:85130041619
SN - 0010-3640
VL - 75
SP - 1642
EP - 1653
JO - Communications on Pure and Applied Mathematics
JF - Communications on Pure and Applied Mathematics
IS - 7
ER -