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math-ph2000
Trivalent Graphs and Solitons
I. Krichever, S Novikov
It is shown that the fourth order real self-adjoint difference operator on the Tivalent Tree admits nontrivial deformations preserving one energy level and therefore defines a nont…
math-ph2000
Holomorphic bundles and Scalar Difference Operators: One-Point Constructions
I. M. Krichever, S. P. Novikov
Commutative rings of one-dimensional difference operators of rank l>1 and their deformations are effectively constructed. Our analytical constructions are based on the so-called ''…
math-ph2000
Periodic and almost periodic potentials in the inverse problems
I. M. Krichever, S. P. Novikov
We review basic ideas and basic examples of the theory of the inverse spectral problems.