5 citations · 7 across the 5 of their papers we have counts for
6 papers
Semifinite harmonic functions on the direct product of graded graphs
Pavel Nikitin, Nikita Safonkin
Indecomposible semifinite harmonic functions on the direct product of graded graphs are classified. As a particular case, the full list of indecomposible traces for the infinite in…
Skew Howe duality and q-Krawtchouk polynomial ensemble
Anton Nazarov, Pavel Nikitin, Daniil Sarafannikov
We consider the decomposition into irreducible components of the exterior algebra regarded as a $GL_{n…
Limit shape for infinite rank limit of tensor power decomposition for Lie algebras of series so(2n+1)
Anton Nazarov, Pavel Nikitin, Olga Postnova
We consider the Plancherel measure on irreducible components of tensor powers of the spinor representation of so(2n+1). The irreducible representations correspond to the generalize…
On Number Rigidity for Pfaffian Point Processes
Alexander I. Bufetov, Pavel P. Nikitin, Yanqi Qiu
Our first result states that the orthogonal and symplectic Bessel processes are rigid in the sense of Ghosh and Peres. Our argument in the Bessel case proceeds by an estimate of th…
On the decomposition of tensor representations of symmetric groups
P. P. Nikitin, N. V. Tsilevich, A. M. Vershik
Following the general idea of Schur--Weyl scheme and using two suitable symmetric groups (instead of one), we try to make more explicit the classical problem of decomposing tensor…
Description of the Characters and Factor Representations of Infinite Symmetric Inverse Semigroup
Anatoly Vershik, Pavel Nikitin
We give a complete list of indecomposable characters of the infinite symmetric semigroup. In comparison with the analogous list for the infinite symmetric group, one should introdu…