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      Optimal control under uncertainty: Application to the issue of CAT bonds

      September 25, 2018

      Mathematics
      Optimization and Control
      We propose a general framework for studying optimal issue of CAT bonds in the presence of uncertainty on the parameters. In particular, the intensity of arrival of natural disasters is inhomogeneous and may depend on unknown parameters. Giv...

      Equivariant category of wedges

      September 24, 2018

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      Mathematics
      Algebraic Topology
      Algebraic Topology
      We prove the formula \begin{equation*} \text{cat}_G(X\vee Y)=\max\{\text{cat}_G(X),\text{cat}_G(Y)\} \end{equation*} for the equivariant category of the wedge X∨YX\vee YX∨Y. As a direct application, we have that the wedge $\bigvee_{i=1}^m X_i...

      A Novel Approach to Neutrino-Hydrogen Measurements

      September 24, 2018

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      Physics
      High Energy Physics - Phenomenology
      High Energy Physics - Experiment
      Nuclear Experiment
      Nuclear Theory
      Instrumentation and Detectors
      High Energy Physics - Phenomenology
      High Energy Physics - Experiment
      Nuclear Experiment
      Nuclear Theory
      Instrumentation and Detectors
      The limited statistics of the available (anti)neutrino-hydrogen (H) interactions has been a longstanding impediment for high-energy neutrino physics. We discuss a practical way to achieve accurate (anti)neutrino-hydrogen measurements, addre...

      Toric degenerations of cluster varieties and cluster duality

      September 21, 2018

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      Mathematics
      Algebraic Geometry
      Combinatorics
      Rings and Algebras
      Representation Theory
      We introduce the notion of a YYY-pattern with coefficients and its geometric counterpart: a cluster X\mathcal{X}X-variety with coefficients. We use these constructions to build a flat degeneration of every skew-symmetrizable specially compl...

      The special Aronszajn tree property at ℵ2\aleph_2ℵ2​ and GCHGCHGCH

      September 20, 2018

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      Mathematics
      Logic
      Starting from the existence of a weakly compact cardinal, we build a generic extension of the universe in which GCHGCHGCH holds and all ℵ2\aleph_2ℵ2​-Aronszajn trees are special and hence there are no ℵ2\aleph_2ℵ2​-Souslin trees. This result answers ...

      The distribution of Weierstrass points on a tropical curve

      September 20, 2018

      Mathematics
      Metric Geometry
      Combinatorics
      Algebraic Geometry
      We show that on a metric graph of genus ggg, a divisor of degree nnn generically has g(n−g+1)g(n-g+1)g(n−g+1) Weierstrass points. For a sequence of generic divisors on a metric graph whose degrees grow to infinity, we show that the associated Weierstrass...

      Prediction and observation of the first antiferromagnetic topological insulator

      September 19, 2018

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      Physics
      Materials Science
      Materials Science
      Magnetic topological insulators (MTIs) are narrow gap semiconductor materials that combine non-trivial band topology and magnetic order. Unlike their nonmagnetic counterparts, MTIs may have some of the surfaces gapped due to breaking the ti...

      Global residue formula for logarithmic indices of foliations

      September 19, 2018

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      Mathematics
      Algebraic Geometry
      Complex Variables
      Differential Geometry
      Dynamical Systems
      We prove a global residual formula in terms of logarithmic indices for one-dimensional holomorphic foliations, with isolated singularities, and logarithmic along normal crossing divisors. We also give a formula for the total sum of the loga...

      Boltzmann Diffusive Limit with Maxwell Boundary Condition

      September 18, 2018

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      Mathematics
      Analysis of PDEs
      Analysis of PDEs
      Diffusive limit from the Boltzmann equation to the incompressible Navier-Stokes-Fourier system was established for the celebrated Maxwell boundary condition in the framework of renormalized solutions by Saint-Raymond2009 and Jiang-Masmoudi2...

      Moduli of Nodal Sextic Curves via Periods of K3 Surfaces

      September 18, 2018

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      Mathematics
      Algebraic Geometry
      In this paper we study the moduli spaces of nodal sextic curves. We realize each irreducible component of the GIT space of sextic curves with given number of nodes as an open subspace of type IV arithmetic quotients. We then focus on the co...
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