کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1156449 958831 2008 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Self-similarity and spectral asymptotics for the continuum random tree
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Self-similarity and spectral asymptotics for the continuum random tree
چکیده انگلیسی

We use the random self-similarity of the continuum random tree to show that it is homeomorphic to a post-critically finite self-similar fractal equipped with a random self-similar metric. As an application, we determine the mean and almost-sure leading order behaviour of the high frequency asymptotics of the eigenvalue counting function associated with the natural Dirichlet form on the continuum random tree. We also obtain short time asymptotics for the trace of the heat semigroup and the annealed on-diagonal heat kernel associated with this Dirichlet form.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 118, Issue 5, May 2008, Pages 730–754
نویسندگان
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