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Last-Passage Percolation with constraints, and applications to polymers in random environment

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If you have a question about this talk, please contact Perla Sousi .

Hammersley’s Last-Passage Percolation (LPP) problem can be described as follows: let m points be drawn uniformly and independently in [0,1]^2, then what is the maximal number of points that can be collected by an up-right path? In this talk, I will introduce a generalization of this problem, where the up-right condition is changed to a global condition on the path. Results on this new LPP with constraints are limited, but they already have some applications, in particular in the context of polymers in random environment. (Joint work with Niccolò Torri)

This talk is part of the Probability series.

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Faculty of Education, 184 Hills Road, Cambridge, CB2 8PQ, DMB, Room GS3 Department of Engineering - LT1 Boys Smith Room

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