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math.AC2024
Bizonotopal Graphical Algebras
Anatol Kirillov, Gleb Nenashev, Boris Shapiro +1
Zonotopal algebras (external, central, and internal) of an undirected graph G introduced by Postnikov-Shapiro and Holtz-Ron, are finite-dimensional commutative graded algebras whos…
math.CA2024
Semiclassical expansion for exactly solvable differential operators
Jorge A. Borrego-Morell, Boris Shapiro
Below we study a linear differential equation $\MM (v(z,η))=η^M{v(z,η)}$, where is a large spectral parameter and $\MM=\sum_{k=1}^{M}ρ_{k}(z)\frac{d^k}{dz^k},\; M\ge 2$ is a…