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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"harmonic explorer"" "subject:"harmonic dexplorer""

1

Random curves and their scaling limits

Wächter, Jonatan January 2023 (has links)
We focus on planar Random Walks and some related stochastic processes. The discrete models are introduced and some of their core properties examined. We then turn to the question of continuous analogues, starting with the well-known convergence of the Random Walk to Brownian Motion. For the Harmonic Explorer and the Loop Erased Random Walk, we discuss the idea for convergence to SLE(\kappa) and carry out parts of the proof in the former case using a martingale observable to pin down the Loewner driving process.
Stochastic processes
Schramm-Loewner-Evolution
Random Walk
Brownian Motion
Harmonic Explorer
Mathematics
Matematik

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