104 citations · 717 across the 51 of their papers we have counts for
49 papers
Hamiltonian structure of isomonodromic deformation dynamics in linear systems of PDE's
J. Harnad
The Hamiltonian approach to isomonodromic deformation systems for generic rational covariant derivative operators on the Riemann sphere, having any matrix dimension and any num…
Hamiltonian structure of rational isomonodromic deformation systems
M. Bertola, J. Harnad, J. Hurtubise
The Hamiltonian approach to isomonodromic deformation systems is extended to include generic rational covariant derivative operators on the Riemann sphere with irregular singularit…
Tau functions, infinite Grassmannians and lattice recurrences
S. Arthamonov, J. Harnad, J. Hurtubise
The addition formulae for KP -functions, when evaluated at lattice points in the KP flow group orbits in the infinite dimensional Sato-Segal-Wilson Grassmannian, give infinite p…
Lagrangian Grassmannians, CKP hierarchy and hyperdeterminantal relations
S. Arthamonov, J. Harnad, J. Hurtubise
This work concerns the relation between the geometry of Lagrangian Grassmannians and the CKP integrable hierarchy. The Lagrange map from the Lagrangian Grassmannian of maximal isot…
Fredholm Pfaffian -functions for orthogonal isospectral and isomonodromic systems
M. Bertola, F. Del Monte, J. Harnad
We extend the approach to -functions as Widom constants developed by Cafasso, Gavrylenko and Lisovyy to orthogonal loop group Drinfeld-Sokolov hierarchies and isomonodromic defo…
Polynomial KP and BKP -functions and correlators
J. Harnad, A. Yu. Orlov
Lattices of polynomial KP and BKP -functions labelled by partitions, with the flow variables equated to finite power sums, as well as associated multipair KP and multipoint BKP…