Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse problem for Ising connection matrix with long-range interaction   In the present paper, we examine Ising systems on d-dimensional hypercube
lattices and solve an inverse problem where we have to determine interaction
constants of an Ising connection matrix when we know a spectrum of it
eigenvalues. In addition, we define restrictions allowing a random number
sequence to be a connection matrix spectrum. We use the previously obtained
analytical expressions for the eigenvalues of Ising connection matrices
accounting for an arbitrary long-range interaction and supposing periodic
boundary conditions.

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The categories of this paper are: eess
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn