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Endpoint distribution of directed polymers in 1+1 dimensions
directed polymers Endpoint distribution Probability
2011/7/28
Abstract: We give an explicit formula for the joint density of the max and argmax of the Airy$_2$ process minus a parabola. The argmax has a universal distribution which governs the rescaled endpoint ...
Duality mapping and unbinding transitions of semiflexible and directed polymers
Duality mapping unbinding transitions of semiflexible directed polymers
2010/11/19
Directed polymers (strings) and semiflexible polymers (filaments) are one-dimensional objects governed by tension and bending energy, respectively.They undergo unbinding transitions in the presence of...
Asymmetric directed polymers in random environments
Directed polymers in random environment Directed polymers in Brownian environments
2010/12/14
The model of Brownian Percolation has been introduced as an approx-imation of discrete last-passage percolation models close to the axis. It allowed to compute some explicit limits and prove fluctuati...