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Description:: In this thesis we study the $L^p$ Dirichlet problem for second order divergence-form operators having a BMO antisymmetric part. To be precise, for the divergence-form …
Year:: 2019
Contributor:: Li, Linhan (creator); Pipher, Jill (Advisor); Dong, Hongjie (Reader); Pausader, Benoit (Reader); Brown University. Department of Mathematics (sponsor)
Genre:: theses
Subject:: Differential equations, Partial; Harmonic analysis
Collection:: Mathematics; Theses and Dissertations

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Description:: Part I of this thesis studies some results related to sparse bounds in harmonic analysis. We provide a brief overview of sparse bounds in Chapter …
Year:: 2019
Contributor:: Barron, Alexander Andreas (creator); Pipher, Jill (Advisor); Pausader, Benoit (Reader); Treil, Sergei (Reader); Brown University. Department of Mathematics (sponsor)
Genre:: theses
Subject:: Differential equations, Partial; Harmonic analysis
Collection:: Mathematics; Theses and Dissertations

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Description:: The famous domino shuffling algorithm was invented to generate the domino tilings of the Aztec Diamond. Using the domino height function, we view the domino …
Year:: 2019
Contributor:: Zhang, Xufan (creator); Kenyon, Richard (Advisor); Ramanan, Kavita (Reader); Pausader, Benoit (Reader); Brown University. Department of Mathematics (sponsor)
Genre:: theses
Subject:: Probability; Mathematical physics
Collection:: Mathematics; Theses and Dissertations

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