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On abelian and additive complexity in infinite words
additive complexity infinite words Combinatorics
2011/9/19
Abstract: The study of the structure of infinite words having bounded abelian complexity was initiated by G. Richomme, K. Saari, and L. Q. Zamboni. In this note we define bounded additive complexity f...
On Measures on Partitions Arising in Harmonic Analysis for Linear and Projective Characters of the Infinite Symmetric Group
Partitions Arising Harmonic Analysis the Infinite Symmetric Group Combinatorics
2011/8/25
Abstract: The z-measures on partitions originated from the problem of harmonic analysis of linear representations of the infinite symmetric group in the works of Kerov, Olshanski and Vershik (1993, 20...
Infinite words and universal free actions
Infinite words universal free actions Group Theory
2011/8/23
Abstract: This is the second paper in a series of three, where we take on the unified theory of non-Archimedean group actions, length functions and infinite words. Here, for an arbitrary group $G$ of ...
An infinite-horizon optimal control problem and the stability of the adjoint variable (in Russian)
infinite-horizon optimal control problem stability adjoint variable
2011/2/21
Определения и обозначения. Пусть задано метрическое простран-ство X △= Rm. Определим T △= {t ∈ R| t ≥ 0}.
Infinite combinatorial issues raised by lifting problems in universal algebra
Algebra congruence variety critical point ladder morass Martin’s
2010/11/30
The critical point between varieties A and B of algebras is defined as the least cardinality of the semilattice of compact congruences of a member of A but of no member of B, if it exists.
Criteria of nilpotency and influence of contranormal subgroups on the structure of infinite groups
Contranormal subgroups descending subgroups nilpotent subgroups minimax groups
2010/2/25
Following J.S. Rose, a subgroup H of a group G is called contranormal if G=HG. In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. It is well known that a finite group is ...