I knew i should have taken that left turn at albuquerque

Gady Kozma; Ariel Yadin

I knew i should have taken that left turn at albuquerque

Weizmann Institute of Science, Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

We study the Laplacian-∞ path as an extreme case of the Laplacian-α random walk. Although, in the finite α case, there is reason to believe that the process converges to SLE _κ, with κ = 6/(2α + 1), we show that this is not the case when α = ∞ In fact, the scaling limit depends heavily on the lattice structure, and is not conformal (or even rotational) invariant.

Original language	English
Pages (from-to)	225-234
Number of pages	10
Journal	Alea
Volume	8
Issue number	1
State	Published - 1 Dec 2011

All Science Journal Classification (ASJC) codes

Statistics and Probability

Cite this

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title = "I knew i should have taken that left turn at albuquerque",

abstract = "We study the Laplacian-∞ path as an extreme case of the Laplacian-α random walk. Although, in the finite α case, there is reason to believe that the process converges to SLE κ, with κ = 6/(2α + 1), we show that this is not the case when α = ∞ In fact, the scaling limit depends heavily on the lattice structure, and is not conformal (or even rotational) invariant.",

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N2 - We study the Laplacian-∞ path as an extreme case of the Laplacian-α random walk. Although, in the finite α case, there is reason to believe that the process converges to SLE κ, with κ = 6/(2α + 1), we show that this is not the case when α = ∞ In fact, the scaling limit depends heavily on the lattice structure, and is not conformal (or even rotational) invariant.

AB - We study the Laplacian-∞ path as an extreme case of the Laplacian-α random walk. Although, in the finite α case, there is reason to believe that the process converges to SLE κ, with κ = 6/(2α + 1), we show that this is not the case when α = ∞ In fact, the scaling limit depends heavily on the lattice structure, and is not conformal (or even rotational) invariant.

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M3 - مقالة

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JO - Alea

JF - Alea

IS - 1

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I knew i should have taken that left turn at albuquerque

Abstract

All Science Journal Classification (ASJC) codes

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