Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Lanczos Algorithm for extensive Many-Body Systems in the
  Thermodynamic Limit   We establish rigourously the scaling properties of the Lanczos process
applied to an arbitrary extensive Many-Body System which is carried to
convergence n to infinity and the thermodynamic limit N to infinity taken. In
this limit the solution for the limiting Lanczos coefficients are found exactly
and generally through two equivalent sets of equations, given initial knowledge
of the exact cumulant generating function. The measure and the Orthogonal
Polynomial System associated with the Lanczos process in this regime are also
given explicitly. Some important representations of these Lanczos functions are
given, including Taylor series expansions, and theorems controlling their
general properties are proven.

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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
32
The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th