Browsing 1  Oberwolfach Preprints (OWP) by Title
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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*} ... 
SpaceTime Euler Discretization Schemes for the Stochastic 2D NavierStokes Equations
[OWP202012] (Mathematisches Forschungsinstitut Oberwolfach, 20200506)We prove that the implicit time Euler scheme coupled with finite elements space discretization for the 2D NavierStokes equations on the torus subject to a random perturbation converges in $L^2(\Omega)$, and describe the ... 
SpatialSkin Effect for a Spectral Problem with "Slightly Heavy" Concentrated Masses in a Thick Cascade Junction
[OWP201210] (Mathematisches Forschungsinstitut Oberwolfach, 20120703)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 ... 
Spectral Continuity for Aperiodic Quantum Systems II. Periodic Approximations in 1D
[OWP201827] (Mathematisches Forschungsinstitut Oberwolfach, 20181217)The existence and construction of periodic approximations with convergent spectra is crucial in solid state physics for the spectral study of corresponding Schrödinger operators. In a forthcoming work [9] this task was ... 
Spectral Sequences in Combinatorial Geometry: Cheeses, Inscribed Sets, and BorsukUlam Type Theorems
[OWP201008] (Mathematisches Forschungsinstitut Oberwolfach, 20100312)Algebraic topological methods are especially suited to determining the nonexistence of continuous mappings satisfying certain properties. In combinatorial problems it is sometimes possible to define a mapping from a space ... 
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 ... 
Spherical Actions on Flag Varieties
[OWP201404] (Mathematisches Forschungsinstitut Oberwolfach, 20140425)For every finitedimensional vector space $V$ and every $V$ flag variety $X$ we list all connected reductive subgroups in $GL(V)$ acting spherically on $X$. 
Spherical ArcLength as a Global Conformal Parameter for Analytic Curves in the Riemann Sphere
[OWP201621] (Mathematisches Forschungsinstitut Oberwolfach, 20161111)We prove that for every analytic curve in the complex plane $\mathbb{C}$, Euclidean and spherical arclengths are global conformal parameters. We also prove that for any analytic curve in the hyperbolic plane, hyperbolic ... 
Splitting Necklaces, with Constraints
[OWP202003] (Mathematisches Forschungsinstitut Oberwolfach, 20200211)We prove several versions of Alon's "necklacesplitting theorem", subject to additional constraints, as illustrated by the following results. (1) The "almost equicardinal necklacesplitting theorem" claims that, without ... 
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 ... 
Stein's method for dependent random variables occuring in statistical mechanics
[OWP200909] (Mathematisches Forschungsinstitut Oberwolfach, 20090303)We obtain rates of convergence in limit theorems of partial sums $S_n$ for certain sequences of dependent, identically distributed random variables, which arise naturally in statistical mechanics, in particular, in the ... 
Steinberg groups for Jordan pairs
[OWP201129] (Mathematisches Forschungsinstitut Oberwolfach, 20110526)We introduce categories of groups with commutator relations with respect to root groups and Weyl elements, permuting the root groups. This allows us to view the classical Steinberg groups, for example the Steinberg group ... 
Stochastic mean payoff game: smoothed analysis and approximation schemes
[OWP201022] (Mathematisches Forschungsinstitut Oberwolfach, 20100320)We consider twoperson zerosum stochastic mean payoff games with perfect information modeled by a digraph with black, white, and random vertices. These BWRgames games are polynomially equivalent with the classical Gillette ... 
Stratifying modular representations of finite groups
[OWP200820] (Mathematisches Forschungsinstitut Oberwolfach, 20080320)We classify localising subcategories of the stable module category of a finite group that are closed under tensor product with simple (or, equivalently all) modules. One application is a proof of the telescope conjecture ... 
Strongly Consistent Density Estimation of Regression Redidual
[OWP201207] (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 ... 
A study on gradient blow up for viscosity solutions of fully nonlinear, uniformly elliptic equations
[OWP200910] (Mathematisches Forschungsinstitut Oberwolfach, 20090304)We investigate sharp conditions for boundary and interior gradient estimates of continuous viscosity solutions to fully nonlinear, uniformly elliptic equations under Dirichlet boundary conditions. When these conditions are ... 
Supertropical linear algebra
[OWP201014] (Mathematisches Forschungsinstitut Oberwolfach, 2010)The objective of this paper is to lay out the algebraic theory of supertropical vector spaces and linear algebra, utilizing the key antisymmetric relation of "ghost surpasses." Special attention is paid to the various ... 
Supertropical Matrix Algebra III : Powers of Matrices and Generalized Eigenspaces
[OWP201020] (Mathematisches Forschungsinstitut Oberwolfach, 2010)We investigate powers of supertropical matrices, with special attention to the role of the coefficients of the supertropical characteristic polynomial (especially the supertropical trace) in controlling the rank of a power ... 
Supertropical Quadratic Forms I
[OWP201327] (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 ringtheoretic case, the companion ... 
Supertropical semirings and supervaluations
[OWP201005] (Mathematisches Forschungsinstitut Oberwolfach, 2010)We interpret a valuation $\upsilon$ on a ring $R$ as a map $\upsilon:R \rightarrow M$ into a so called bipotent semiring $M$ (the usual maxplus setting), and then define a supervaluation $\varphi$ as a suitable map into ...