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Please use this identifier to cite or link to this item: http://arks.princeton.edu/ark:/88435/dsp01mc87pt34s
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dc.contributor.advisorDauvergne, Duncan-
dc.contributor.authorR.T. Thiyageswaran, Vydhourie-
dc.date.accessioned2021-07-26T14:00:03Z-
dc.date.available2021-07-26T14:00:03Z-
dc.date.created2021-04-30-
dc.date.issued2021-07-26-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/dsp01mc87pt34s-
dc.description.abstractThe conjectured universal scaling limit in the KPZ universality class, including that of last passage percolation, is the directed landscape. We investigate the fluctuations of the directed landscape along its temporal and spatial coordinates separately. It is known that exponential and geometric last passage percolations demonstrate KPZ scaling exponents of 1/3 and 2/3 for their length and transversal fluctuations respectively, and the conjectured KPZ universal scaling relationship in dimension d = 2, where 2/3 = 2(1/3). We investigate this and related behaviours with paths/geodesics in last passage percolation in relation to their lengths/weights in the large-n regime.en_US
dc.format.mimetypeapplication/pdf
dc.language.isoenen_US
dc.titleLast Passage Percolation And Its Scaling Limit Behaviouren_US
dc.typePrinceton University Senior Theses
pu.date.classyear2021en_US
pu.departmentMathematicsen_US
pu.pdf.coverpageSeniorThesisCoverPage
pu.contributor.authorid920191199
pu.mudd.walkinNoen_US
Appears in Collections:Mathematics, 1934-2023

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