Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Calder\'on type inverse problem for tree graphs   We study the inverse problem of recovering a tree graph together with the
weights on its edges (equivalently a metric tree) from the knowledge of the
Dirichlet-to-Neumann matrix associated with the Laplacian. We prove an explicit
formula which relates this matrix to the pairwise weighted distances of the
leaves of the tree and, thus, allows to recover the weighted tree. This result
can be viewed as a counterpart of the Calder\'on problem in the analysis of
PDEs. In contrast to earlier results on inverse problems for metric graphs, we
only assume knowledge of the Dirichlet-to-Neumann matrix for a fixed energy,
not of a whole matrix-valued function.

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The categories of this paper are: alg-geom
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex