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The inviscid limit for the Landau-Lifshitz-Gilbert equation in the critical Beso ...
We prove that in dimensions three and higher the Landau-Lifshitz- Gilbert equation with small initial data in the critical Besov space is globally wellposed in a uniform way with respect to the Gilbert damping parameter. Then we ... Read More >
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Heegner divisors in generalized Jacobians and traces of singular moduli
We prove an abstract modularity result for classes of Heegner divisors in the generalized Jacobian of a modular curve associated to a cuspidal modulus. Extending the Gross-Kohnen-Zagier theorem, we prove that the generating seri ... Read More >
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Good coverings of Alexandrov spaces
In the present paper, we define a notion of good coverings of Alexandrov spaces with curvature bounded below, and prove that every Alexandrov space admits such a good covering and that it has the same homotopy type as the nerve ... Read More >
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Covering the large spectrum and generalized Riesz products
Chang's Lemma is a widely employed result in additive combinatorics. It gives bounds on the dimension of the large spectrum of probability distributions on finite abelian groups. Recently, Bloom (2016) presented a powerful varia ... Read More >
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An invariant of colored links via skein relation
In this note we define a polynomial invariant for colored links by a skein relation. It specializes to the Jones polynomial for classical links. Read More >
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A Remark on Regular Points of Ricci Limit Spaces
Let $Y$ be a Gromov-Hausdorff limit of complete Riemannian n-manifolds with Ricci curvature bounded from below. A point in $Y$ is called $k$-regular, if its tangent is unique and is isometric to an $k$-dimensional Euclidean sp ... Read More >
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The Calderón problem with partial data for conductivities with $3/2$ derivative ...
We extend a global uniqueness result for the Calder\'on problem with partial data, due to Kenig-Sj\"ostrand-Uhlmann, to the case of less regular conductivities. Specifically, we show that in dimensions $n\ge 3$, the knowledge of ... Read More >
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Cycline subalgebras of $k$-graph C*-algebras
In this paper, we prove that the cycline subalgbra of a $k$-graph C*-algebra is maximal abelian, and show when it is a Cartan subalgebra (in the sense of Renault). Read More >
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Minimum Number of Probes for Brain Dynamics Observability
In this paper, we address the problem of placing sensor probes in the brain such that the system dynamics' are generically observable. The system dynamics whose states can encode for instance the fire-rating of the neurons or th ... Read More >
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A local converse theorem for U(1,1)
In this paper, we define a $\gamma$-factor for generic representations of $\RU(1,1)\times \Res_{E/F}(\GL_1)$ and prove a local converse theorem for $\RU(1,1)$ using the $\gamma$-factor we defined. We also give a new proof of the ... Read More >