3 papers
math.RT2013
Asymptotic Freeness of Jucys-Murphy element and a certain projection
Lech Jankowski
We explain the appearance of the free compression of a transition measure in the problem of the restriction of the representation of the symmetric group to a subgroup by showing th…
math.RT2012
Asymptotic freeness of Jucys-Murphy elements
Lech Jankowski
We explain the appearance of free convolution of Kerov transition measures in the outer product of representations of S_n by showing that some elements of the group algebra are asy…
math.PR2010
Remarks on restricted Nevanlinna transforms
Lech Jankowski, Zbigniew J. Jurek
The Nevanlinna transform K(z), of a measure and a real constant, plays an important role in the complex analysis and more recently in the free probability theory (boolean convoluti…