14 citations · 16 across the 4 of their papers we have counts for
4 papers
Longest increasing subsequence as expectation of a simple nonlinear stochastic PDE with a low noise intensity
E. Katzav, S. Nechaev, O. Vasilyev
We report some new observation concerning the statistics of Longest Increasing Subsequences (LIS). We show that the expectation of LIS, its variance, and apparently the full distri…
Multifractality in uniform hyperbolic lattices and in quasi-classical Liouville field theory
A. Comtet, S. Nechaev, R. Voituriez
We introduce a deterministic model defined on a two dimensional hyperbolic lattice. This model provides an example of a non random system whose multifractal behaviour has a number…
Statistical properties of braid groups in locally free approximation
A. M. Vershik, S. Nechaev, R. Bikbov
Statistical and probabilistic characteristics of locally free group with growing number of generators are defined and their application to statistics of braid groups is given.
On the limiting power of set of knots generated by 1+1- and 2+1- braids
R. Bikbov, S. Nechaev
We estimate from above the set of knots, , generated by closure of n-string 1+1- and 2+1-dimensional braids of irreducible length () in the limit n>>1.