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math.DS2026
First integrals of dense hard-ball gases
Gleb Smirnov
We answer two questions of Kozlov about polynomial-in-momentum first integrals of billiard systems. For billiards in bounded polytopes, such integrals are independent of position.…
math.DS2015★ 2 cited
On the monodromy of almost toric fibrations on the complex projective plane
Gleb Smirnov
The monodromy of almost toric Lagrangian fibrations on the complex projective plane is described.