Yury Neretin

activity

19992016

most citedAlgebras of conjugacy classes in symmetric groups

3 citations · 4 across the 3 of their papers we have counts for

collaborators

6 papers

math.GR2016★ 3 cited

Algebras of conjugacy classes in symmetric groups

Yury A. Neretin

In 1999 V. Ivanov and S. Kerov observed that structure constants of algebras of conjugacy classes of symmetric groups $S_{n}$ admit a stabilization (in a non-obvious sense) as $n\to…

math.GR2013

Several remarks on groups of automorphisms of free groups

Yury Neretin

Let $G$ be the group of automorphisms of a free group $F_{\infty}$ of infinite order. Let $H$ be the stabilizer of first $m$ generators of $F_{\infty}$ . We show that the double cosets…

math.FA2011★ 1 cited

On the boundary of the group of transformations leaving a measure quasi-invariant

Yury Neretin

Let $A$ be a Lebesgue measure space. We interpret measures on $A \times A \times R_{+}$ as 'maps' from $A$ to $A$ , which spread $A$ along itself; their Radon-Nikodym derivatives also a…

math.CA2005

Perturbations of Jacobi polynomials and piece-wise hypergeometric orthogonal systems

Yurii A. Neretin

We construct noncomplete orthogonal systems on the ray $[0, \infty)$ that look like Jacobi polynomials $P_{n} (x)$ after a shift of degree $n \mapsto n + a$ , where $a$ is a real constant.…

math-ph2001

Spreading maps (polymorphisms), symmetries of Poisson processes and matching summation

Yurii A. Neretin

The matrix of a permutation is a partial case of Markov transition matrices. In the same way, a measure preserving bijection of a space A with finite measure is a partial case of M…

math.DG1999

Pseudoriemannian symmetric spaces: one-type realizations and open embeddings to grassmannians

Yu. A. Neretin

We show that each classical pseudoriemann symmetric space G/H can be realized as space of pairs of complementary subspaces in a linear space. For each classical symmetric space we…