2018
2018
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Now showing items 21-29 of 29
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Max-Linear Models on Infinite Graphs Generated by Bernoulli Bond Percolation
[OWP-2018-09] (Mathematisches Forschungsinstitut Oberwolfach, 2018-05-17)We extend previous work of max-linear models on finite directed acyclic graphs to infinite graphs, and investigate their relations to classical percolation theory. We formulate results for the oriented square lattice graph ... -
Categorical Linearly Ordered Structures
[OWP-2018-08] (Mathematisches Forschungsinstitut Oberwolfach, 2018-04-26)We prove that for every computable limit ordinal $\alpha$ there exists a computable linear ordering $\mathcal{A}$ which is $\Delta^0_\alpha$-categorical and $\alpha$ is smallest such, but nonetheless for every isomorphic ... -
On the Gauss Algebra of Toric Algebras
[OWP-2018-07] (Mathematisches Forschungsinstitut Oberwolfach, 2018-04-25)Let $A$ be a $K$-subalgebra of the polynomial ring $S=K[x_1,\ldots,x_d]$ of dimension $d$, generated by finitely many monomials of degree $r$. Then the Gauss algebra $\mathbb{G}(A)$ of $A$ is generated by monomials of ... -
Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary
[OWP-2018-06] (Mathematisches Forschungsinstitut Oberwolfach, 2018-04-16)We consider a domain $\Omega_\varepsilon\subset\mathbb{R}^N$, $N\geq2$, with a very rough boundary depending on~$\varepsilon$. For instance, if $N=3$ the domain $\Omega_\varepsilon$ has the form of a brush with an ... -
The Sylow Structure of Scalar Automorphism Groups
[OWP-2018-05] (Mathematisches Forschungsinstitut Oberwolfach, 2018-03-22)For any locally compact abelian periodic group A its automorphism group contains as a subgroup those automorphisms that leave invariant every closed subgroup of A, to be denoted by SAut(A). This subgroup is again a locally ... -
Exceptional Legendrian Torus Knots
[OWP-2018-04] (Mathematisches Forschungsinstitut Oberwolfach, 2018-03-21)We present classification results for exceptional Legendrian realisations of torus knots. These are the first results of that kind for non-trivial topological knot types. Enumeration results of Ding-Li-Zhang concerning ... -
The Martin Boundary of Relatively Hyperbolic Groups with Virtually Abelian Parabolic Subgroups
[OWP-2018-03] (Mathematisches Forschungsinstitut Oberwolfach, 2018-03-19)Given a probability measure on a finitely generated group, its Martin boundary is a way to compactify the group using the Green's function of the corresponding random walk. We give a complete topological characterization ... -
Deformation Classification of Real Non-Singular Cubic Threefolds with a Marked Line
[OWP-2018-02] (Mathematisches Forschungsinstitut Oberwolfach, 2018-02-21)We prove that the space of pairs $(X,l)$ formed by a real non-singular cubic hypersurface $X\subset P^4$ with a real line $l\subset X$ has 18 connected components and give for them several quite explicit interpretations. ... -
Herbrand’s Theorem as Higher Order Recursion
[OWP-2018-01] (Mathematisches Forschungsinstitut Oberwolfach, 2018-02-19)We provide a means to compute Herbrand disjunctions directly from sequent calculus proofs with cuts. Our approach associates to a first-order classical proof $\pi \vdash \exists v F$, where $F$ is quantifier free, an ...