92 citations · 246 across the 5 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
math-ph2005★ 88 cited
A determinantal formula for the GOE Tracy-Widom distribution
Patrik L. Ferrari, Herbert Spohn
Investigating the long time asymptotics of the totally asymmetric simple exclusion process, Sasamoto obtains rather indirectly a formula for the GOE Tracy-Widom distribution. We es…
math-ph2004★ 92 cited
Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues
Patrik L. Ferrari
We consider the polynuclear growth (PNG) model in 1+1 dimension with flat initial condition and no extra constraints. Through the Robinson-Schensted-Knuth (RSK) construction, one o…
math-ph2002★ 3 cited
Last Branching in Directed Last Passage Percolation
Patrik L. Ferrari, Herbert Spohn
The 1+1 dimensional directed polymers in a Poissonean random environment is studied. For two polymers of maximal length with the same origin and distinct end points we establish th…