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Remarks on Periodic Jacobi Matrices on Trees

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 نشر من قبل Barry Simon
 تاريخ النشر 2020
  مجال البحث
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We look at periodic Jacobi matrices on trees. We provide upper and lower bounds on the gap of such operators analogous to the well known gap in the spectrum of the Laplacian on the upper half-plane with hyperbolic metric. We make some conjectures about antibound states and make an interesting observation for what [3] calls the rg-model.



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