Sharp estimates for distinguished random walks on affine buildings of type Ar

التفاصيل البيبلوغرافية
العنوان: Sharp estimates for distinguished random walks on affine buildings of type Ar
المؤلفون: Anker, Jean-Philippe, Schapira, Bruno, Trojan, Bartosz
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Classical Analysis and ODEs
الوصف: We study a distinguished random walk on affine buildings of type Ar , which was already considered by Cartwright, Saloff-Coste and Woess. In rank r=2, it is the simple random walk and we obtain optimal global bounds for its transition density (same upper and lower bound, up to multiplicative constants). In the higher rank case, we obtain sharp uniform bounds in fairly large space-time regions which are sufficient for most applications.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2312.01781
رقم الانضمام: edsarx.2312.01781
قاعدة البيانات: arXiv