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Taming reluctant random walks in the positive quadrant

Jeremie Lumbroso 1, 2 Marni Mishna 2 Yann Ponty 3, 4
1 Computer Science Department [Princeton]
2 SFU - Department of Mathematics [Burnaby]
3 AMIB - Algorithms and Models for Integrative Biology
LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau], LRI - Laboratoire de Recherche en Informatique, UP11 - Université Paris-Sud - Paris 11, Inria Saclay - Ile de France
4 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
Abstract : A lattice walk model is said to be reluctant if the defining step set has a strong drift towards the boundaries. We describe efficient random generation strategies for these walks.
Keywords : 2D walks Random generation analytic combinatorics
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Submitted on : Monday, March 21, 2016 - 9:50:23 AM
Last modification on : Thursday, July 8, 2021 - 3:49:26 AM
Long-term archiving on: : Wednesday, June 22, 2016 - 10:38:39 AM

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CNRS | X | LIX | X-LIX | INRIA | X-DEP-INFO | GS-COMPUTER-SCIENCE

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Jeremie Lumbroso, Marni Mishna, Yann Ponty. Taming reluctant random walks in the positive quadrant. GASCOM - 10th conference on random generation of combinatorial structures - 2016, Jun 2016, Bastia, France. pp.99 -- 114, ⟨10.1016/j.endm.2017.05.008⟩. ⟨hal-01291164⟩

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