Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lp expander Complexes   We discuss two combinatorical ways of generalizing the definition of expander
graphs and Ramanujan graphs, to quotients of buildings of higher dimension. The
two possible definitions are equivalent for affine buildings, giving the notion
of an Lp-expander complex. We calculate explicit spectral gaps on many
combinatorical operators, on any Lp-expander complex.
  We associate with any complex a natural "zeta function", generalizing the
Ihara-Hashimoto zeta function of a finite graph. We generalize a well known
theorem of Hashimoto, showing that a complex is Ramanujan if and only if the
zeta function satisfies the Riemann hypothesis.

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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph