تقرير
Strong large deviation principles for pair empirical measures of random walks in the Mukherjee-Varadhan topology
| العنوان: | Strong large deviation principles for pair empirical measures of random walks in the Mukherjee-Varadhan topology |
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| المؤلفون: | Erhard, Dirk, Poisat, Julien |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Probability |
| الوصف: | In this paper we introduce a topology under which the pair empirical measure of a large class of random walks satisfies a strong Large Deviation principle. The definition of the topology is inspired by the recent article by Mukherjee and Varadhan [16]. This topology is natural for translation-invariant problems such as the downward deviations of the volume of a Wiener sausage or simple random walk, known as the Swiss cheese model [18]. We also adapt our result to some rescaled random walks and provide a contraction principle to the single empirical measure despite a lack of continuity from the projection map, using the notion of diagonal tightness. Comment: Corrected mistake in Corollary 3.4 of the previous version. Added Section 8 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2304.00814 |
| رقم الأكسشن: | edsarx.2304.00814 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |