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Showing 2005 · math-phShow all
3 papers · 2 filters
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-ph2005★ 64 cited
Kinetic Limit for Wave Propagation in a Random Medium
Jani Lukkarinen, Herbert Spohn
We study crystal dynamics in the harmonic approximation. The atomic masses are weakly disordered, in the sense that their deviation from uniformity is of order epsilon^(1/2). The d…
math-ph2005★ 6 cited
The Continuum Potts Model at the Disorder-Order Transition -- a Study by Cluster Dynamics
Hans-Otto Georgii, Jozsef Lorinczi, Jani M. Lukkarinen
We investigate the continuum q-Potts model at its transition point from the disordered to the ordered regime, with particular emphasis on the coexistence of disordered and ordered…