Browsing 1  Oberwolfach Preprints (OWP) by Title
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Theoretical Analysis and Simulation Methods for Hawkes Processes and their Diffusion Approximation
[OWP202009] (Mathematisches Forschungsinstitut Oberwolfach, 20200330)Oscillatory systems of interacting Hawkes processes with Erlang memory kernels were introduced in Ditlevsen and Löcherbach (2017). They are piecewise deterministic Markov processes (PDMP) and can be approximated by a ... 
There is a unique real tight contact 3ball
[OWP201001] (Mathematisches Forschungsinstitut Oberwolfach, 2010)We prove that there is a unique real tight contact structure on the 3ball with convex boundary up to isotopy through real tight contact structures. We also give a partial classification of the real tight solid tori with ... 
Tilting on noncommutative rational projective curves
[OWP200914] (Mathematisches Forschungsinstitut Oberwolfach, 20090308)In this article we introduce a new class of noncommutative projective curves and show that in certain cases the derived category of coherent sheaves on them has a tilting complex. In particular, we prove that the right ... 
Time and band limiting for matrix valued functions, an example
[OWP201508] (Mathematisches Forschungsinstitut Oberwolfach, 20150729)The main purpose of this paper is to extend to a situation involving matrix valued orthogonal polynomials and spherical functions, a result that traces its origin and its importance to work of Claude Shannon in laying the ... 
Time Discretization Schemes for Hyperbolic Systems on Networks by εExpansion
[OWP201903] (Mathematisches Forschungsinstitut Oberwolfach, 20190212)We consider partial differential equations on networks with a small parameter $\epsilon$, which are hyperbolic for $\epsilon>0$ and parabolic for $\epsilon=0$. With a combination of an $\epsilon$expansion and RungeKutta ... 
Torsionfree Covers of Solvable Minimax Groups
[OWP201515] (Mathematisches Forschungsinstitut Oberwolfach, 20151118)We prove that every finitely generated solvable minimax group can be realized as a quotient of a torsionfree solvable minimax group. This result has an application to the investigation of random walks on finitely generated ... 
Totally Acyclic Complexes
[OWP201614] (Mathematisches Forschungsinstitut Oberwolfach, 20160817)We prove first (Proposition 3) that, over any ring $R$, an acyclic complex of projective modules is totally acyclic if and only if the cycles of every acyclic complex of Gorenstein projective modules are Gorenstein projective. ... 
Trivial Source Character Tables of SL2(q)
[OWP202202] (Mathematisches Forschungsinstitut Oberwolfach, 20220128)We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups SL(2,q) over a large enough field of positive characteristic $\ell$ via ... 
The Tutte Polynomial of Ideal Arrangements
[OWP201828] (Mathematisches Forschungsinstitut Oberwolfach, 20181221)The Tutte polynomial is originally a bivariate polynomial enumerating the colorings of a graph and of its dual graph. But it reveals more of the internal structure of the graph like its number of forests, of spanning ... 
Unconditional Convergence of Spectral Decompositions of 1D Dirac Operators with Regular Boundary Conditions
[OWP201021] (Mathematisches Forschungsinstitut Oberwolfach, 20100319) 
Unexpected Properties of the Klein Configuration of 60 Points in $\mathbb{P}^3$
[OWP202019] (Mathematisches Forschungsinstitut Oberwolfach, 20201007)Felix Klein in course of his study of the regular and its symmetries encountered a highly symmetric configuration of 60 points in $\mathbb{P}^3$. This configuration has appeared in various guises, perhaps post notably as ... 
A Uniform Model for KirillovReshetikhin Crystals I: Lifting the Parabolic Quantum Bruhat Graph
[OWP201218] (Mathematisches Forschungsinstitut Oberwolfach, 2012)We consider two lifts of the parabolic quantum Bruhat graph, one into the Bruhat order in the affine Weyl group and the other into a levelzero weight poset first considered by Littelmann. The lift into the affine Weyl ... 
Upper bounds for the number of solutions to quartic thue equations
[OWP201121] (Mathematisches Forschungsinstitut Oberwolfach, 2011)We will give upper bounds for the number of integral solutions to quartic Thue equations. Our main tool here is a logarithmic curve $\phi(x,y)$ that allows us to use the theory of linear forms in logarithms. This manuscript ... 
Upper tails for intersection local times of random walks in supercritical dimensions
[OWP200802] (Mathematisches Forschungsinstitut Oberwolfach, 20080306)We determine the precise asymptotics of the logarithmic upper tail probability of the total intersection local time of $p$ independent random walks in $\mathbb{Z}^d$ under the assumption $p(d2)>d$. Our approach allows a ... 
Urn Models & Operator Ordering Procedures
[OWP200806] (Mathematisches Forschungsinstitut Oberwolfach, 20080310)Ordering of operators is purely combinatorial task involving a number of commutators shuffling components of operator expression to desired form. Here we show how it can be illustrated by simple urn models in which normal ... 
The Varchenko Determinant of a Coxeter Arrangement
[OWP201733] (Mathematisches Forschungsinstitut Oberwolfach, 20171124)The Varchenko determinant is the determinant of a matrix defined from an arrangement of hyperplanes. Varchenko proved that this determinant has a beautiful factorization. It is, however, not possible to use this factorization ... 
Varieties of Invariant Subspaces Given by LittlewoodRichardson Tableaux
[OWP201401] (Mathematisches Forschungsinstitut Oberwolfach, 20140425)Given partitions $\alpha, \beta, \gamma$, the short exact sequences $0 \rightarrow N_\alpha \rightarrow N_\beta \rightarrow N_\gamma \rightarrow 0$ of nilpotent linear operators of Jordan types $\alpha, \beta, \gamma$, ... 
Vector bundles on degenerations of elliptic curves and YangBaxter equations
[OWP200704] (Mathematisches Forschungsinstitut Oberwolfach, 20070322)In this paper we introduce the notion of a gemetric associative rmatrix attached to a genus one fibration with a section and irreducible fibres. It allows us to study degenerations of solutions of the classical YangBaxter ... 
Very general monomial valuations of P2 and a Nagata type conjecture
[OWP201322] (Mathematisches Forschungsinstitut Oberwolfach, 20131029) 
Virtual Polytopes
[OWP201502] (Mathematisches Forschungsinstitut Oberwolfach, 20150410)Originating in diverse branches of mathematics, from polytope algebra and toric varieties to the theory of stressed graphs, virtual polytopes represent a natural algebraic generalization of convex polytopes. Introduced as ...