Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Point-to-line polymers and orthogonal Whittaker functions   We study a one dimensional directed polymer model in an inverse-gamma random
environment, known as the log-gamma polymer, in three different geometries:
point-to-line, point-to-half line and when the polymer is restricted to a half
space with end point lying free on the corresponding half line.Via the use of
A.N.Kirillov's geometric Robinson-Schensted-Knuth correspondence, we compute
the Laplace transform of the partition functions in the above geometries in
terms of orthogonal Whittaker functions, thus obtaining new connections between
the ubiquitous class of Whittaker functions and exactly solvable probabilistic
models. In the case of the first two geometries we also provide multiple
contour integral formulae for the corresponding Laplace transforms. Passing to
the zero-temperature limit, we obtain new formulae for the corresponding last
passage percolation problems with exponential weights.

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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th