Browsing by MFO Scientific Program "Research in Pairs 2013"
Now showing items 120 of 23

Enhanced Spatial SkinEffect for Free Vibrations of a Thick Cascade Junction with "Super Heavy" Concentrated Masses
[OWP201326] (Mathematisches Forschungsinstitut Oberwolfach, 20131213)The asymptotic behavior (as $\varepsilon \to 0$) of eigenvalues and eigenfunctions of a boundaryvalue problem for the Laplace operator in a thick cascade junction with concentrated masses is studied. This cascade junction ... 
Equidistribution of Elements of Norm 1 in Cyclic Extensions
[OWP201413] (Mathematisches Forschungsinstitut Oberwolfach, 20140820)Upon quotienting by units, the elements of norm 1 in a number field $K$ form a countable subset of a torus of dimension $r_1+r_21$ where $r_1$ are the numbers of real and pairs of complex embeddings. When $K$ is Galois ... 
Grassmannian connection between three and fourqubit observables, Mermin's contextualities and black holes
[OWP201317] (Mathematisches Forschungsinstitut Oberwolfach, 20130723)We invoke some ideas from finite geometry to map bijectively 135 heptads of mutually commuting threequbit observables into 135 symmetric fourqubit ones. After labeling the elements of the former set in terms of a ... 
Hight functions on quaternionic Stiefel manifolds
[OWP201510] (Mathematisches Forschungsinstitut Oberwolfach, 20150729)In this note, we study height functions on quaternionic Stiefel manifolds and prove that all these height functions are MorseBott. Among them, we characterize the Morse functions and give a lower bound for their number ... 
Linking and Closed Orbits
[OWP201315] (Mathematisches Forschungsinstitut Oberwolfach, 20130610)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
[OWP201319] (Mathematisches Forschungsinstitut Oberwolfach, 20130905)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 ... 
Maximal CohenMacaulay modules over nonisolated surface singularities and matrix problems
[OWP201506] (Mathematisches Forschungsinstitut Oberwolfach, 20150513)In this article we develop a new method to deal with maximal CohenMacaulay modules over nonisolated surface singularities. In particular, we give a negative answer on an old question of Schreyer about surface singularities ... 
MehlerHeine asymptotics of a class of generalized hypergeometric polynomials :
[OWP201323] (Mathematisches Forschungsinstitut Oberwolfach, 20131029)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 ... 
Nonstationary multivariate subdivision: joint spectral radius and asymptotic similarity
[OWP201320] (Mathematisches Forschungsinstitut Oberwolfach, 20131029)In this paper we study scalar multivariate nonstationary subdivision schemes with a general integer dilation matrix. We present a new numerically efficient method for checking convergence and Hölder ... 
Observability of systems with delay convoluted observation
[OWP201410] (Mathematisches Forschungsinstitut Oberwolfach, 20140513)This paper analyzes finite dimensional linear timeinvariant systems with observation of a delay, where that delay satisfies a particular implicit relation with the state variables, rendering the entire problem nonlinear. ... 
On conjugacy of MASAs and the outer automorphism group of the Cuntz algebra
[OWP201321] (Mathematisches Forschungsinstitut Oberwolfach, 20131029)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 periodic solutions and global dynamics in a periodic differential delay equation
[OWP201408] (Mathematisches Forschungsinstitut Oberwolfach, 20140513)Several aspects of global dynamics and the existence of periodic solutions are studied for the scalar differential delay equation $x'(t) = a(t)f(x([tK]))$, where $f(x)$ is a continuous negative feedback function, $x \cdot ... 
On the prediction of stationary functional time series
[OWP201406] (Mathematisches Forschungsinstitut Oberwolfach, 20140425)This paper addresses the prediction of stationary functional time series. Existing contributions to this problem have largely focused on the special case of firstorder functional autoregressive processes because of their ... 
Random dynamics of transcendental functions
[OWP201412] (Mathematisches Forschungsinstitut Oberwolfach, 20140820)This work concerns random dynamics of hyperbolic entire and meromorphic functions of finite order and whose derivative satisfies some growth condition at infinity. This class contains most of the classical families of ... 
A Relation Between NQubit and 2N1Qubit Pauli Groups via Binary LGr(N,2N)
[OWP201325] (Mathematisches Forschungsinstitut Oberwolfach, 20131209)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 $\mathcal{W}(2N1, 2)$ and using properties of the Lagrangian Grassmannian $LGr(N, ... 
Sharp constants in the classical weak form of the JohnNirenberg inequality
[OWP201307] (Mathematisches Forschungsinstitut Oberwolfach, 20130314)The sharp constants in the classical JohnNirenberg inequality are found by using Bellman function approach. 
Solid extensions of the Cesàro operator on the Hardy space H2(D)
[OWP201311] (Mathematisches Forschungsinstitut Oberwolfach, 20130423)We introduce and study the largest Banach space of analytic functions on the unit disc which is solid for the coefficientwise order and to which the classical Ces`aro operator $\mathcal{C}:H^2 \to H^2$ can be continuously ... 
Some Results Related to Schiffer's Problem
[OWP201818] (Mathematisches Forschungsinstitut Oberwolfach, 20180816)We consider the following semilinear overdetermined problem on a two dimensional bounded or unbounded domain $\Omega$ with analytic boundary $\partial\Omega$ having at least one bounded connected component \begin{eqnarray*} ... 
Spectral triples and finite summability on CuntzKrieger algebras
[OWP201403] (Mathematisches Forschungsinstitut Oberwolfach, 20140513)We produce a variety of odd bounded Fredholm modules and odd spectral triples on CuntzKrieger algebras by means of realizing these algebras as "the algebra of functions on a noncommutative space" coming from a sub shift ... 
Square wave periodic solutions of a differential delay equation
[OWP201409] (Mathematisches Forschungsinstitut Oberwolfach, 20140513)We prove the existence of periodic solutions of the differential delay equation $\varepsilon\dot{x}(t) + x(t)= f(x(t1)), \varepsilon>0$ under the assumptions that the continuous nonlinearity $f(x)$ satisfies the negative ...