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 -