Browsing 2016 by Title
Now showing items 3-22 of 26
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The Berry-Keating Operator on a Lattice
[OWP-2016-23] (Mathematisches Forschungsinstitut Oberwolfach, 2016-11-17)We construct and study a version of the Berry-Keating operator with a built-in truncation of the phase space, which we choose to be a two-dimensional torus. The operator is a Weyl quantisation of the classical Hamiltonian ... -
Boundary Representations of Operator Spaces, and Compact Rectangular Matrix Convex Sets
[OWP-2016-24] (Mathematisches Forschungsinstitut Oberwolfach, 2016-12-13)We initiate the study of matrix convexity for operator spaces. We define the notion of compact rectangular matrix convex set, and prove the natural analogs of the Krein-Milman and the bipolar theorems in this context. We ... -
Dirichlet Approximation and Universal Dirichlet
[OWP-2016-12] (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-16)We characterize the uniform limits of Dirichlet polynomials on a right half plane. We extend the approximation theorems of Runge, Mergelyan and Vitushkin to the Dirichlet setting with respect to the Euclidean distance and ... -
Finitary Proof Systems for Kozen's μ
[OWP-2016-26] (Mathematisches Forschungsinstitut Oberwolfach, 2016-12-30)We present three finitary cut-free sequent calculi for the modal $μ$-calculus. Two of these derive annotated sequents in the style of Stirling’s ‘tableau proof system with names’ (2014) and feature special inferences that ... -
Fourier-Mukai transform on Weierstrass cubics and commuting differential operators
[OWP-2016-03] (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)In this article, we describe the spectral sheaves of algebras of commuting differential operators of genus one and rank two with singular spectral curve, solving a problem posed by Previato and Wilson. We also classify all ... -
Generalized Entropy Method for the Renewal Equation with Measure Data
[OWP-2016-07] (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)We study the long-time asymptotics for the so-called McKendrick-Von Foerster or renewal equation, a simple model frequently considered in structured population dynamics. In contrast to previous works, we can admit a bounded ... -
Getzler rescaling via adiabatic deformation and a renormalized local index formula
[OWP-2016-18] (Mathematisches Forschungsinstitut Oberwolfach, 2016-10)We prove a local index theorem of Atiyah-Singer type for Dirac operators on manifolds with a Lie structure at infinity (Lie manifolds for short). After introducing a renormalized supertrace on Lie manifolds with spin ... -
A graphical interface for the Gromov-Witten theory of curves
[OWP-2016-06] (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)We explore the explicit relationship between the descendant Gromov–Witten theory of target curves, operators on Fock spaces, and tropical curve counting. We prove a classical/tropical correspondence theorem for descendant ... -
The Initial and Terminal Cluster Sets of an Analytic Curve
[OWP-2016-25] (Mathematisches Forschungsinstitut Oberwolfach, 2016-12-21)For an analytic curve $\gamma : (a,b) \to \mathbb{C}$, the set of values approaches by $\gamma(t)$, as $t ↘a$ and as $t↗b$ can be any two continuua of $\mathbb{C} \cup \{\infty\}$. -
Killing Tensors on Tori
[OWP-2016-20] (Mathematisches Forschungsinstitut Oberwolfach, 2016-11-10)We show that Killing tensors on conformally at n-dimensional tori whose conformal factor only depends on one variable, are polynomials in the metric and in the Killing vector fields. In other words, every first integral ... -
Late-Time Behaviour of Israel Particles in a FLRW Spacetime with Λ>0
[OWP-2016-19] (Mathematisches Forschungsinstitut Oberwolfach, 2016-10)In this paper we study the relativistic Boltzmann equation in a spatially flat FLRW space-time. We consider Israel particles, which are the relativistic counterpart of the Maxwellian particles, and obtain global-in-time ... -
Legendrian Lens Space Surgeries
[OWP-2016-10] (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)We show that every tight contact structure on any of the lens spaces $L(ns^2 - s + 1,s^2)$ with $n\geq 2, s \geq 1$, can be obtained by a single Legendrian surgery along a suitable Legendrian realisation of the negative ... -
On densities of lattice arrangements intersecting every i-dimensional affine subspace
[OWP-2016-08] (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)In 1978, Makai Jr. established a remarkable connection between the volume-product of a convex body, its maximal lattice packing density and the minimal density of a lattice arrangement of its polar body intersecting every ... -
On Local Combinatorial Formulas for Chern Classes of Triangulated Circle Bundle
[OWP-2016-16] (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-17)Principal circle bundle over a PL polyhedron can be triangulated and thus obtains combinatorics. The triangulation is assembled from triangulated circle bundles over simplices. To every triangulated circle bundle over a ... -
On the L2 Markov Inequality with Laguerre Weight
[OWP-2016-15] (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-17) -
On Weak Weighted Estimates of Martingale Transform
[OWP-2016-22] (Mathematisches Forschungsinstitut Oberwolfach, 2016-11-12)We consider several weak type estimates for singular operators using the Bellman function approach. We disprove the $A_1$ conjecture, which stayed open after Muckenhoupt-Wheeden's conjecture was disproved by Reguera-Thiele. -
Plethystic Vertex Operators and Boson-Fermion Correspondences
[OWP-2016-11] (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)We study the algebraic properties of plethystic vertex operators, introduced in J. Phys. A: Math. Theor. 43 405202 (2010), underlying the structure of symmetric functions associated with certain generalized universal ... -
Rational Approximation on Products of Planar Domains
[OWP-2016-05] (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)We consider $A(\Omega)$, the Banach space of functions $f$ from $ \overline{\Omega}=\prod_{i \in I} \overline{U_i}$ to $\mathbb{C}$ that are continuous with respect to the product topology and separately holomorphic, where ... -
Real group orbits on flag ind-varieties of SL (∞, C)
[OWP-2016-01] (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)We consider the complex ind-group $G=SL (\infty, \mathbb{C})$ and its real forms $G^0=SU(\infty,\infty)$, $SU(p,\infty)$, $SL(\infty,\mathbb{R})$, $SL(\infty,\mathbb{H})$. Our main object of study are the $G^0$-orbits on ... -
Regularity and energy conservation for the compressible Euler equations
[OWP-2016-04] (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)We give sufficient conditions on the regularity of solutions to the inhomogeneous incompressible Euler and the compressible isentropic Euler systems in order for the energy to be conserved. Our strategy relies on commutator ...