8 citations · 14 across the 10 of their papers we have counts for
5 papers · 1 filter
Breaking the Infinite Barrier in the -- Conjecture
Max Aires, Swee Hong Chan, Igor Pak +1
The balance constant is a poset parameter measuring how well random linear extensions can be split according to their relative order on two elements. We give an -impro…
On the largest Littlewood--Richardson coefficient
Igor Pak, Daniel Soskin
We study partitions which attain the largest Littlewood-Richardson coefficient. More precisely, we prove that the largest is attained at partitions such that $μ\subseteq…
Quantum determinants in polynomial time
Igor Pak, Daniel Soskin
We give an algebraic branching program of polynomial size which computes Cayley determinant of right quantum matrices. This is a rare example of an efficient computation of a nonco…
Equality conditions for correlation inequalities
Swee Hong Chan, Igor Pak
We prove equality conditions for the Ahlswede--Daykin (AD) inequality and the Fortuin--Kasteleyn--Ginibre (FKG) inequality. We then present a number of applications and special cas…
Correlation inequalities for Schur positivity
Swee Hong Chan, Hong Chen, Igor Pak +1
We generalize the Ahlswede--Daykin inequality (1978) to a Schur positive \emph{ADS inequality}, which also contains the Lam--Postnikov--Pylyavskyy inequality (2007) as a special ca…