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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 ... 
Random sampling of domino and lozenge tilings
[SNAP2016002EN] (Mathematisches Forschungsinstitut Oberwolfach, 2016)A grid region is (roughly speaking) a collection of “elementary cells” (squares, for example, or triangles) in the plane. One can “tile” these grid regions by arranging the cells in pairs. In this snapshot we review different ... 
Rate of Convergence of the Density Estimation of Regression Residual
[OWP201208] (Mathematisches Forschungsinstitut Oberwolfach, 2012)Consider the regression problem with a response variable $Y$ and with a $d$dimensional feature vector $X$. For the regression function $m(x) = \mathbb{E}\{YX = x\}$, this paper investigates methods for estimating the ... 
Rational Approximation on Products of Planar Domains
[OWP201605] (Mathematisches Forschungsinstitut Oberwolfach, 20160617)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 ... 
A real algebra perspective on multivariate tight wavelet frames
[OWP201211] (Mathematisches Forschungsinstitut Oberwolfach, 20120813)Recent results from real algebraic geometry and the theory of polynomial optimization are related in a new framework to the existence question of multivariate tight wavelet frames whose generators have at least one vanishing ... 
Real Analyticity is Concentrated in Dimension 2
[OWP201823] (Mathematisches Forschungsinstitut Oberwolfach, 20181105)We prove that a realvalued function on a real analytic manifold is analytic whenever all its restrictions to $2$dimensional analytic submanifolds are analytic functions. We also obtain analogous results in the framework ... 
Real group orbits on flag indvarieties of SL (∞, C)
[OWP201601] (Mathematisches Forschungsinstitut Oberwolfach, 20160510)We consider the complex indgroup $G=SL (\infty, \mathbb{C})$ 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 ... 
Realizing Spaces as Classifying Spaces
[OWP201501] (Mathematisches Forschungsinstitut Oberwolfach, 20150410)Which spaces occur as a classifying space for fibrations with a given fibre? We address this question in the context of rational homotopy theory. We construct an infinite family of finite complexes realized (up to rational ... 
Reducing submodules of the Bergman module $\mathbb A^{(\lambda)}(\mathbb D^n)$ under the action of the symmetric group
[OWP201719] (Mathematisches Forschungsinstitut Oberwolfach, 20170720)The weighted Bergman spaces on the polydisc, $\mathbb A^{(\lambda)}(\mathbb D^n)$, $\lambda>0,$ splits into orthogonal direct sum of subspaces $\mathbb P_{\boldsymbol p}\big(\mathbb A^{(\lambda)}(\mathbb D^n)\big)$ indexed ... 
Regularity and energy conservation for the compressible Euler equations
[OWP201604] (Mathematisches Forschungsinstitut Oberwolfach, 20160510)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 ... 
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, ... 
Representation Theory of NonCommutative Association Schemes of Order
[OWP201007] (Mathematisches Forschungsinstitut Oberwolfach, 20100311)In this note, we investigate association schemes of order 6. We prove that nonnormal closed subsets of such schemes have order 2 and that normal closed subsets of noncommutative schemes have order 2 or 3. After that, ... 
Representations of Finite Groups: Local Cohomology and Support
[OWS43] (Birkhäuser Basel, 2012)The seminar focuses on a recent solution, by the authors, of a long standing problem concerning the stable module category (of not necessarily finite dimensional representations) of a finite group. The proof draws on ideas ... 
Resolution of symplectic cyclic orbifold singularities
[OWP200703] (Mathematisches Forschungsinstitut Oberwolfach, 20070321)In this paper we present a method to obtain resolutions of symplectic orbifolds arising as quotients of presymplectic semifree S1actions. This includes, in particular, all orbifolds arising from symplectic reduction of ... 
Review of the Methods of Reflections
[OWP201727] (Mathematisches Forschungsinstitut Oberwolfach, 20171018)The methods of reflections were invented to obtain approximate solutions of the motion of more than one particle in a given environment, provided that one can represent the solution for one particle rather easily. This ... 
Right Simple Singularities in Positive Characteristic
[OWP201328] (Mathematisches Forschungsinstitut Oberwolfach, 2013)We classify isolated singularities $f \in K[[x_1,...,x_n]]$, which are simple, i.e. have no moduli, w.r.t. right equivalence, where $K$ is an algebraically closed field of characteristic $p>0$. For $K=\mathbb{R}$ or ... 
Right Unimodal and Bimodal Singularities inPositive Characteristic
[OWP201514] (Mathematisches Forschungsinstitut Oberwolfach, 20151118)The problem of classification of real and complex singularities was initiated by Arnol'd in the sixties who classified simple, unimodal and bimodal w.r.t. right equivalence. The classification of right simple singularities ... 
Scaling limits and models in physical processes
[OWS28] (Birkhäuser Basel, 1998) 
Second Main Theorems and Unicity of Meromorphic Mappings with Moving Hypersurfaces
[OWP201138] (Mathematisches Forschungsinstitut Oberwolfach, 2011)In this article, we establish some new second main theorems for meromorphic mappings of $\mathbf{C}^m$ into $\mathbf{P}^n(\mathbf{C})$ and moving hypersurfaces with truncated counting functions. As an application, we prove ... 
Secondary heat flow between confocal ellipses: an application of extended thermodynamics
[OWP200711] (Mathematisches Forschungsinstitut Oberwolfach, 20070327)Much as nonNewtonian fluids exhibit secondary flows in elliptic pipes, rarefied gases exhibit secondary heat flows between elliptical cylinders. The phenomenon may be called nonFourierian, because it is not covered by ...