Corrigendum and Addendum: Identification of the Polaron Measure I: Fixed Coupling Regime and the Central Limit Theorem for Large Times

Chiranjib Mukherjee, S. R.S. Varadhan

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)1642-1653
Number of pages12
JournalCommunications on Pure and Applied Mathematics
Volume75
Issue number7
DOIs
StatePublished - Jul 2022

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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