Geodesic
Bethe method: Thermodynamics and limit states
Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 3, pp. 440-450

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The hypothesis that there exists a limit density for the distribution of the numbers that parametrize the Bethe eigenvector is generalized and proved. The case of a finite number of string types is considered. A system of integrodifferential equations is derived for the string distribution densities, and particular solutions of the system are found. 
@article{TMF_1986_67_3_a8,
     author = {E. V. Gusev},
     title = {Bethe method: {Thermodynamics} and limit states},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {440--450},
     publisher = {mathdoc},
     volume = {67},
     number = {3},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_67_3_a8/}
}
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E. V. Gusev. Bethe method: Thermodynamics and limit states. Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 3, pp. 440-450. http://geodesic.mathdoc.fr/item/TMF_1986_67_3_a8/