arXiv Open Access 2013

The Spectrum of an Adelic Markov Operator

Andreas Knauf

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Abstrak

With the help of the representation of SL(2,Z) on the rank two free module over the integer adeles, we define the transition operator of a Markov chain. The real component of its spectrum exhibits a gap, whereas the non-real component forms a circle of radius 1/\sqrt{2}.

Topik & Kata Kunci

math.SP math.NT

Penulis (1)

Andreas Knauf

Format Sitasi

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Knauf, A. (2013). The Spectrum of an Adelic Markov Operator. https://arxiv.org/abs/1305.6410

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Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓