2 problems
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Algebraic-integrality conjecture for algebraic entropies of lattice equations
Algebraic-integrality conjecture. The entropy is always the logarithm of an algebraic integer, both for maps and for the lattice equations considered here.
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Four infinite sets of higher symmetries for the -dimensional Ablowitz–Ladik and Davey–Stewartson systems
The -dimensional Ablowitz–Ladik lattice and the space-discrete Davey–Stewartson system are integrable lattice systems with mutually commuting elementary flows in the lattice…