کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665972 1633840 2013 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the lplp spectrum of Laplacians on graphs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
On the lplp spectrum of Laplacians on graphs
چکیده انگلیسی

We study the p-independence of spectra of Laplace operators on graphs arising from regular Dirichlet forms on discrete spaces. Here, a sufficient criterion is given solely by a uniform subexponential growth condition. Moreover, under a mild assumption on the measure we show a one-sided spectral inclusion without any further assumptions. We study applications to normalized Laplacians including symmetries of the spectrum and a characterization for positivity of the Cheeger constant. Furthermore, we consider Laplacians on planar tessellations for which we relate the spectral p-independence to assumptions on the curvature.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 248, 25 November 2013, Pages 717–735
نویسندگان
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