Browsing 2013 by MFO Scientific Program "Research in Pairs 2013"
Now showing items 1-11 of 11
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Enhanced Spatial Skin-Effect for Free Vibrations of a Thick Cascade Junction with "Super Heavy" Concentrated Masses
[OWP-2013-26] (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 ... -
Grassmannian connection between three- and four-qubit observables, Mermin's contextualities and black holes
[OWP-2013-17] (Mathematisches Forschungsinstitut Oberwolfach, 2013-07-23)We invoke some ideas from finite geometry to map bijectively 135 heptads of mutually commuting three-qubit observables into 135 symmetric four-qubit ones. After labeling the elements of the former set in terms of a ... -
Linking and Closed Orbits
[OWP-2013-15] (Mathematisches Forschungsinstitut Oberwolfach, 2013-06-10)We show that the Lagrangian of classical mechanics on a Riemannian manifold of bounded geometry carries a periodic solution of motion with prescribed energy, provided the potential satis es an asymptotic growth ... -
Local asymptotics for the area of random walk excursions
[OWP-2013-19] (Mathematisches Forschungsinstitut Oberwolfach, 2013-09-05)We prove a local limit theorem for the area of the positive exursion of random walks with zero mean and finite variance. Our main result complements previous work of Caravenna and Chaumont, Sohier, as well as ... -
Mehler-Heine asymptotics of a class of generalized hypergeometric polynomials :
[OWP-2013-23] (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 ... -
Non-stationary multivariate subdivision: joint spectral radius and asymptotic similarity
[OWP-2013-20] (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] (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 ... -
A Relation Between N-Qubit and 2N-1-Qubit Pauli Groups via Binary LGr(N,2N)
[OWP-2013-25] (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, ... -
Sharp constants in the classical weak form of the John-Nirenberg inequality
[OWP-2013-07] (Mathematisches Forschungsinstitut Oberwolfach, 2013-03-14)The sharp constants in the classical John-Nirenberg inequality are found by using Bellman function approach. -
Solid extensions of the Cesàro operator on the Hardy space H2(D)
[OWP-2013-11] (Mathematisches Forschungsinstitut Oberwolfach, 2013-04-23)We introduce and study the largest Banach space of analytic functions on the unit disc which is solid for the coefficient-wise order and to which the classical Ces`aro operator $\mathcal{C}:H^2 \to H^2$ can be continuously ... -
Very general monomial valuations of P2 and a Nagata type conjecture
[OWP-2013-22] (Mathematisches Forschungsinstitut Oberwolfach, 2013-10-29)