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130 papers · 1 filter
Exact non-Markovian evolution with multiple reservoirs
A. E. Teretenkov
The model of a multi-level system interacting with several reservoirs is considered. The exact reduced density matrix evolution could be obtained for this model without Markov appr…
Non-commutative graphs in the Fock space over one-particle Hilbert space
G. G. Amosov, A. S. Mokeev
In the present paper we continue our study of non-commutative operator graphs in infinite-dimensional spaces. We consider examples of the non-commutative operator graphs generated…
Symplectic structures on Teichmüller spaces and cluster algebras
Leonid O. Chekhov
We recall the fat-graph description of Riemann surfaces and the corresponding Teichmüller spaces with holes and bordered cusps in the…
Conjectural large genus asymptotics of Masur-Veech volumes and of area Siegel-Veech constants of strata of quadratic differentials
Amol Aggarwal, Vincent Delecroix, Elise Goujard +2
We state conjectures on the asymptotic behavior of the Masur-Veech volumes of strata in the moduli spaces of meromorphic quadratic differentials and on the asymptotics of their are…
RecVAE: a New Variational Autoencoder for Top-N Recommendations with Implicit Feedback
Ilya Shenbin, Anton Alekseev, Elena Tutubalina +2
Recent research has shown the advantages of using autoencoders based on deep neural networks for collaborative filtering. In particular, the recently proposed Mult-VAE model, which…
Zero sets, entropy, and pointwise asymptotics of orthogonal polynomials
Roman Bessonov, Sergey Denisov
Let be a measure from Szegő class on the unit circle and let be the family of Schur functions generated by . In this paper, we prove a version of the c…