The number of saddles of the spherical $p$-spin model

التفاصيل البيبلوغرافية
العنوان: The number of saddles of the spherical $p$-spin model
المؤلفون: Auffinger, Antonio, Gold, Julian
سنة النشر: 2020
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Probability, 60F10, 82D30
الوصف: We show that the quenched complexity of saddles of the spherical pure $p$-spin model agrees with the annealed complexity when both are positive. Precisely, we show that the second moment of the number of critical values of a given finite index in a given interval has twice the growth rate of the first moment.
Comment: 52 pages, 1 figure
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2007.09269
رقم الأكسشن: edsarx.2007.09269
قاعدة البيانات: arXiv