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Near critical density irregular sampling in bernstein spaces

[OWP-2013-16] Olevskij, Aleksandr M.; Ulanovskii, Alexander (Mathematisches Forschungsinstitut Oberwolfach, 2013-07-23)

We obtain sharp estimates for the sampling constants in Bernstein spaces when the density of the sampling set is near the critical value.

Non-stationary multivariate subdivision: joint spectral radius and asymptotic similarity

[OWP-2013-20] Charina, Maria; Conti, Costanza; Guglielmi, Nicola; Protasov, Vladimir (Mathematisches Forschungsinstitut Oberwolfach, 2013-10-29)

In this paper we study scalar multivariate non-stationary subdivision schemes with a general integer dilation matrix. We present a new numerically efficient method for checking convergence and Hölder ...

On conjugacy of MASAs and the outer automorphism group of the Cuntz algebra

[OWP-2013-21] Conti, Roberto; Hong, Jeong Hee; Szymański, Wojciech (Mathematisches Forschungsinstitut Oberwolfach, 2013-10-29)

We investigate the structure of the outer automorphism group of the Cuntz algebra and the closely related problem of conjugacy of MASAa in

$\mathcal{O}_n$ . In particular, we exhibit an uncountable family of MASAs, conjugate ...

On the autonomous metric on groups of Hamiltonian diffeomorphisms of closed hyperbolic surfaces

[OWP-2013-18] Brandenbursky, Michael (Mathematisches Forschungsinstitut Oberwolfach, 2013-07-23)

Let

$\Sigma_g$ be a closed hyperbolic surface of genus

$g$ and let Ham(

$\Sigma_ g$ ) be the group of Hamiltonian diffeomorphisms of

$\Sigma_g$ . The most natural word metric on this group is the autonomous metric. It has ...

Mesh Ratios for Best-Packing and Limits of Minimal Energy Configurations

[OWP-2013-13] Bondarenko, A. V.; Hardin, Douglas P.; Saff, Edward B. (Mathematisches Forschungsinstitut Oberwolfach, 2013-06-10)

For

$N$ -point best-packing configurations

$\omega_N$ on a compact metric space

$(A, \rho)$ , we obtain estimates for the mesh-separation ratio

$\gamma(\rho_N , A)$ , which is the quotient of the covering radius of

$\omega_N$ ...

Mehler-Heine asymptotics of a class of generalized hypergeometric polynomials :

[OWP-2013-23] Bracciali, Cleonice F.; Moreno-Balcázar, Juan José (Mathematisches Forschungsinstitut Oberwolfach, 2013-10-29)

We obtain a Mehler–Heine type formula for a class of generalized hypergeometric polynomials. This type of formula describes the asymptotics of polynomials scale conveniently. As a consequence of this formula, we obtain ...

Supertropical Quadratic Forms I

[OWP-2013-27] Knebusch, Manfred; Rowen, Louis; Izhakian, Zur (Mathematisches Forschungsinstitut Oberwolfach, 2013)

We initiate the theory of a quadratic form q over a semiring

$R$ . As customary, one can write

$q(x+y)=q(x)+q(y)+b(x,y)$ , where b is a companion bilinear form. But in contrast to the ring-theoretic case, the companion ...

A Relation Between N-Qubit and 2N-1-Qubit Pauli Groups via Binary LGr(N,2N)

[OWP-2013-25] Holweck, F. G.; Saniga, Metod; Lévay, Péter (Mathematisches Forschungsinstitut Oberwolfach, 2013-12-09)

Employing the fact that the geometry of the

$N$ -qubit (

$N\geq 2$ ) Pauli group is embodied in the structure of the symplectic polar space

$\mathcal{W}(2N-1, 2)$ and using properties of the Lagrangian Grassmannian $LGr(N, ...

On the Derived Category of Grassmannians in Arbitrary Characteristic

[OWP-2013-24] Buchweitz, Ragnar-Olaf; Leuschke, Graham J.; Van den Bergh, Michel (Mathematisches Forschungsinstitut Oberwolfach, 2013-12-09)

In this paper we consider Grassmannians in arbitrary characteristic. Generalizing Kapranov's well-known characteristic-zero results we construct dual exceptional collections on them (which are however not strong) as well ...

Enhanced Spatial Skin-Effect for Free Vibrations of a Thick Cascade Junction with "Super Heavy" Concentrated Masses

[OWP-2013-26] Čečkin, Grigorij A.; Mel'nyk, Taras A. (Mathematisches Forschungsinstitut Oberwolfach, 2013-12-13)

The asymptotic behavior (as

$\varepsilon \to 0$ ) of eigenvalues and eigenfunctions of a boundary-value problem for the Laplace operator in a thick cascade junction with concentrated masses is studied. This cascade junction ...