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nlin.SI2002
Rational solutions to the Pfaff lattice and Jack polynomials
Mark Adler, Vadim B. Kuznetsov, Pierre van Moerbeke
The finite Pfaff lattice is given by commuting Lax pairs involving a finite matrix L (zero above the first subdiagonal) and a projection onto Sp(N). The lattice admits solutions su…
math-ph2002
Recursion relations for Unitary integrals, Combinatorics and the Toeplitz Lattice
Mark Adler Pierre van Moerbeke
The Toeplitz determinants (of increasing size) associated with the symbols or satisfy recursion relations, thus expressing all the T…