49 citations · 185 across the 47 of their papers we have counts for
4 papers · 1 filter
Lagrangian Matroids: Representations of Type
Richard F. Booth, Alexandre V. Borovik, Neil White
We introduce the concept of orientation for Lagrangian matroids represented in the flag variety of maximal isotropic subspaces of dimension N in the real vector space of dimension…
Lagrangian Pairs and Lagrangian Orthogonal Matroids
Richard F. Booth, Alexandre V. Borovik, Neil White
Represented Coxeter matroids of types and , that is, symplectic and orthogonal matroids arising from totally isotropic subspaces of symplectic or (even-dimensional) orth…
Multiplicative measures on free groups
Alexandre V. Borovik, Alexei G. Myasnikov, Vladimir N. Remeslennikov
We introduce a family of atomic measures on free groups generated by no-return random walks. These measures are shown to be very convenient for comparing "relative sizes" of subgro…
Measuring sets in infinite groups
Alexandre V. Borovik, Alexei G. Myasnikov, Vladimir Shpilrain
We are now witnessing a rapid growth of a new part of group theory which has become known as "statistical group theory". A typical result in this area would say something like ``a…