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      Deep DNA Storage: Scalable and Robust DNA Storage via Coding Theory and Deep Learning

      August 31, 2021

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      Computer Science
      Mathematics
      Information Theory
      Artificial Intelligence
      Information Theory
      DNA-based storage is an emerging technology that enables digital information to be archived in DNA molecules. This method enjoys major advantages over magnetic and optical storage solutions such as exceptional information density, enhanced ...

      Extrapolated DIscontinuity Tracking for complex 2D shock interactions

      August 31, 2021

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      Physics
      Computer Science
      Mathematics
      Fluid Dynamics
      Computational Physics
      Numerical Analysis
      Numerical Analysis
      A new shock-tracking technique that avoids re-meshing the computational grid around the moving shock-front was recently proposed by the authors (Ciallella et al., 2020). The method combines the unstructured shock-fitting (Paciorri and Bonfi...

      Sheaves of modules on atomic sites and discrete representations of topological groups

      August 30, 2021

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      Mathematics
      Representation Theory
      Algebraic Topology
      Category Theory
      Group Theory
      Representation Theory
      Algebraic Topology
      Category Theory
      Group Theory
      The main goal of this paper is to establish close relations among sheaves of modules on atomic sites, representations of categories, and discrete representations of topological groups. We characterize sheaves of modules on atomic sites as s...

      Highly efficient nonvolatile magnetization switching and multi-level states by current in single van der Waals topological ferromagnet Fe3GeTe2

      August 30, 2021

      | | | | | | | | | | and others

      Physics
      Materials Science
      Other Condensed Matter
      Applied Physics
      Quantum Physics
      Materials Science
      Other Condensed Matter
      Applied Physics
      Quantum Physics
      Robust multi-level spin memory with the ability to write information electrically is a long-sought capability in spintronics, with great promise for applications. Here we achieve nonvolatile and highly energy-efficient magnetization switchi...

      Class field towers and minimal models

      August 30, 2021

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      Mathematics
      Number Theory
      Algebraic Geometry
      Operator Algebras
      Number Theory
      Algebraic Geometry
      Operator Algebras
      We use the notion of an Etesi C∗C^*C∗-algebra to prove that the real class field towers are always finite....

      Toward an Actionable Socioeconomic-Aware HCI

      August 30, 2021

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      Computer Science
      Human-Computer Interaction
      Human-Computer Interaction
      Although inequities for individuals in different socioeconomic situations are starting to capture widespread attention, less attention has been given to the socioeconomic inequities that saturate socioeconomic-diverse individuals' user expe...

      Local Maa{\ss} forms and Eichler--Selberg type relations for negative weight vector-valued mock modular forms

      August 30, 2021

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      Mathematics
      Number Theory
      Number Theory
      By comparing two different evaluations of a modified (\`{a} la Borcherds) higher Siegel theta lift on even lattices of signature (r,s)(r,s)(r,s), we prove Eichler--Selberg type relations for a wide class of negative weight vector-valued mock modula...

      Functional Data Representation with Merge Trees

      August 30, 2021

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      Statistics
      Mathematics
      Methodology
      Statistics Theory
      Other Statistics
      Statistics Theory
      In this paper we face the problem of representation of functional data with the tools of algebraic topology. We represent functions by means of merge trees, which, like the more commonly used persistence diagrams, are invariant under homeom...

      A Finitely Stable Edit Distance for Functions Defined on Merge Trees

      August 30, 2021

      Mathematics
      Combinatorics
      Algebraic Topology
      In this work we define a metric structure to compare functions defined on different merge trees. The metric introduced possesses some stability properties and can be computed with a dynamical binary linear programming approach. We showcase ...

      Complete intersection hyperk\"{a}hler fourfolds with respect to equivariant vector bundles over rational homogeneous varieties of Picard number one

      August 30, 2021

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      Mathematics
      Algebraic Geometry
      Differential Geometry
      Representation Theory
      We classify fourfolds with trivial canonical bundle which are zero loci of general global sections of completely reducible equivariant vector bundles over exceptional homogeneous varieties of Picard number one. By computing their Hodge numb...
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