τ-function of discrete isomonodromy transformations and probability
2009 ◽
Vol 145
(03)
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pp. 747-772
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AbstractWe introduce theτ-function of a difference rational connection (d-connection) and its isomonodromy transformations. We show that in a continuous limit ourτ-function agrees with the Jimbo–Miwa–Uenoτ-function. We compute theτ-function for the isomonodromy transformations leading to difference Painlevé V and difference Painlevé VI equations. We prove that the gap probability for a wide class of discrete random matrix type models can be viewed as theτ-function for an associated d-connection.
2007 ◽
Vol 202
(1)
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pp. 26-47
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2018 ◽
Vol 50
(2)
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pp. 2233-2279
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Keyword(s):
1988 ◽
Vol 46
◽
pp. 540-541
1998 ◽
Vol 77
(5)
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pp. 1161-1172
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Keyword(s):