This proceedings volume gathers together selected works from the 2018 Asymptotic, Algebraic and Geometric Aspects of Integrable Systems workshop that was held at TSIMF Yau Mathematical Sciences Center in Sanya, China, honoring Nalini Joshi on her 60th birthday. The papers cover recent advances in asymptotic, algebraic and geometric methods in the study of discrete integrable systems.
The workshop brought together experts from fields such as asymptotic analysis, representation theory and geometry, creating a platform to exchange current methods, results and novel ideas.
This volume's articles reflect these exchanges and can be of special interest to a diverse group of researchers and graduate students interested in learning about current results, new approaches and trends in mathematical physics, in particular those relevant to discrete integrable systems.
Quadrangular Sets in Projective LIne and in Moebius Space and Geometric
Interpretation of the Non-Commutative Discrete Schwarzian
Kadomtsev-Petviashvili Equation (Doliwa et al.).- Complexity and
integrability in 4D bi-rational maps with two invariants (Gubbiotti et
al.).- A non-linear relation for certain hypergeometric functions(Schmalz et
al.).- An algebraically stable variety for a four-dimensional dynamical
system reduced from the lattice super-KdV equation (Carstea et al.).- On the
Lattice Potential KP Equation(Cao et al.).- Opers for higher states of the
quantum Boussinesq model (Masoero et al.).- Nonsingular Rational Solutions to
Integrable models (Gegenhasi et al.).- Stokes phenomenon arising in the
conuence of the Gauss hypergeometric equation (Horrobin et al.).- Periodic
trajectories of ellipsoidal billiards in the 3-dimensional Minkowski space
(Dragovi“c et al.).- Analogues of Kahans method for higher order equations
of higher degree (Hone et al.).- On some explicit representations of the
elliptic Painlev“e equation (Noumi et al.).
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