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Stochastic mean payoff game: smoothed analysis and approximation schemes

[OWP-2010-22] Boros, Endre; Elbassioni, Khaled; Fouz, Mahmoud; Gurvich, Vladimir; Manthey, Bodo (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-20)

We consider two-person zero-sum stochastic mean payoff games with perfect information modeled by a digraph with black, white, and random vertices. These BWR-games games are polynomially equivalent with the classical Gillette ...

Weak-duality based adaptive finite element methods for PDE-constrained optimization with pointwise gradient state-constraints

[OWP-2010-15] Hintermüller, Michael; Hinze, Michael; Hoppe, Ronald H. W. (Mathematisches Forschungsinstitut Oberwolfach, 2010)

Adaptive finite element methods for optimization problems for second order linear elliptic partial di erential equations subject to pointwise constraints on the

$\ell^2$ -norm of the gradient of the state are considered. ...

Supertropical linear algebra

[OWP-2010-14] Izhakian, Zur; Knebusch, Manfred; Rowen, Louis (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 ...

Plethysms, replicated Schur functions and series, with applications to vertex operators

[OWP-2010-12] Fauser, Bertfried; Jarvis, Peter D.; King, Ronald C. (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-14)

Specializations of Schur functions are exploited to define and evaluate the Schur functions

$s_\lambda [\alpha X]$ and plethysms

$s_\lambda [\alpha s_\nu(X))]$ for any

$\alpha$ -integer, real or complex. Plethysms are then ...

There is a unique real tight contact 3-ball

[OWP-2010-01] Öztürk, Ferit; Salepci, Nermin (Mathematisches Forschungsinstitut Oberwolfach, 2010)

We prove that there is a unique real tight contact structure on the 3-ball with convex boundary up to isotopy through real tight contact structures. We also give a partial classification of the real tight solid tori with ...

Supertropical Matrix Algebra III : Powers of Matrices and Generalized Eigenspaces

[OWP-2010-20] Izhakian, Zur; Rowen, Louis (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 semirings and supervaluations

[OWP-2010-05] Izhakian, Zur; Knebusch, Manfred; Rowen, Louis (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 max-plus setting), and then define a supervaluation

$\varphi$ as a suitable map into ...

Locally conformally Kähler manifolds admitting a holomorphic conformal flow

[OWP-2010-13] Ornea, Liviu; Verbitsky, Misha (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-15)

A manifold

$M$ is locally conformally Kähler (LCK) if it admits a Kähler covering

$\tilde{M}$ with monodromy acting by holomorphic homotheties. Let

$M$ be an LCK manifold admitting a holomorphic conformal flow of ...

Shape Theory and Extensions of C*-Algebras

[OWP-2010-16] Manujlov, Vladimir M.; Thomsen, Klaus (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-16)

Let A, A' be separable

$C^*$ -algebras,

$B$ a stable

$\sigma$ -unital

$C^*$ -algebra. Our main result is the construction of the pairing

$[[A', A]] \times Ext^{-1/2}(A,B) \to Ext^{-1/2}(A',B)$ , where

$[[A', A]]$ denotes the ...

Spectral Sequences in Combinatorial Geometry: Cheeses, Inscribed Sets, and Borsuk-Ulam Type Theorems

[OWP-2010-08] Blagojevic, Pavle V. M.; Blagojevic, Aleksandra; Dimitrijevic McCleary, John (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-12)

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 ...