153 citations · 902 across the 65 of their papers we have counts for
68 papers
Bounds on quantum evolution complexity via lattice cryptography
Ben Craps, Marine De Clerck, Oleg Evnin +2
We address the difference between integrable and chaotic motion in quantum theory as manifested by the complexity of the corresponding evolution operators. Complexity is understood…
Complete Integrability of a New Class of Hamiltonian Hydrodynamic Type Systems
Zakhar V. Makridin, Maxim V. Pavlov
In this paper we consider a new class of Hamiltonian hydrodynamic type systems, whose conservation laws are polynomial with respect to one of field variables.
Classification of bi-Hamiltonian pairs extended by isometries
Maxim V. Pavlov, Pierandrea Vergallo, Raffaele Vitolo
The aim of this article is to classify pairs of first-order Hamiltonian operators of Dubrovin-Novikov type such that one of them has a non-local part defined by an isometry of its…
Recursion operators and the hierarchies of MKdV equations related to , and Kac-Moody algebras
V. S. Gerdjikov, A. A. Stefanov, I. D. Iliev +4
We constructed the three nonequivalent gradings in the algebra . The first one is the standard one obtained with the Coxeter automorphism $C_1=S_{α_2} S_{α_1}S_{α…
Bi-Hamiltonian structure of the Oriented Associativity Equation
M. V. Pavlov, R. F. Vitolo
The Oriented Associativity equation plays a fundamental role in the theory of Integrable Systems. In this paper we prove that the equation, besides being Hamiltonian with respect t…
On a class of third-order nonlocal Hamiltonian operators
M. Casati, E. V. Ferapontov, M. V. Pavlov +1
Based on the theory of Poisson vertex algebras we calculate skew-symmetry conditions and Jacobi identities for a class of third-order nonlocal operators of differential-geometric t…