Browsing 2017 by MFO Scientific Program "Research in Pairs 2016"
Now showing items 1-8 of 8
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Analysis and Simulation of a New Multi-Component Two-Phase Flow Model with Phase Transitions and Chemical Reactions
[OWP-2017-08] (Mathematisches Forschungsinstitut Oberwolfach, 2017-03-15)A class-II model for multi-component mixtures recently introduced in D. Bothe, W. Dreyer, Continuum thermodynamics of chemically reacting fluid mixtures, Acta Mech., 226 (2015), 1757–1805 is investigated for simple mixtures. ... -
The Colored Jones Polynomial and Kontsevich-Zagier Series for Double Twist Knots
[OWP-2017-29] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-20)Using a result of Takata, we prove a formula for the colored Jones polynomial of the double twist knots $K_{(-m,-p)}$ and $K_{(-m,p)}$ where $m$ and $p$ are positive integers. In the $(-m,-p)$ case, this leads to new ... -
Holonomy Groups of $G_2^*$-Manifolds
[OWP-2017-07] (Mathematisches Forschungsinstitut Oberwolfach, 2017-03-07)We classify the holonomy algebras of manifolds admitting an indecomposable torsion free $G_2^*$-structure, i.e. for which the holonomy representation does not leave invariant any proper non-degenerate subspace. We realize ... -
Non-Extendability of Holomorphic Functions with Bounded or Continuously Extendable Derivatives
[OWP-2017-30] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-21)We consider the spaces $H_{F}^{\infty}(\Omega)$ and $\mathcal{A}_{F}(\Omega)$ containing all holomorphic functions $f$ on an open set $\Omega \subseteq \mathbb{C}$, such that all derivatives $f^{(l)}$, $l\in F \subseteq ... -
Numerical Invariants and Moduli Spaces for Line Arrangements
[OWP-2017-02] (Mathematisches Forschungsinstitut Oberwolfach, 2017-02-01)Using several numerical invariants, we study a partition of the space of line arrangements in the complex projective plane, given by the intersection lattice types. We offer also a new characterization of the free plane ... -
On the Markov inequality in the $L_2$-norm with the Gegenbauer weight
[OWP-2017-05] (Mathematisches Forschungsinstitut Oberwolfach, 2017-02-22)Let $w_{\lambda}(t) := (1-t^2)^{\lambda-1/2}$, where ${\lambda} > -\frac{1}{2}$, be the Gegenbauer weight function, let $\|\cdot\|_{w_{\lambda}}$ be the associated $L_2$-norm, $$ |f\|_{w_{\lambda}} = \left\{\int_{-1}^1 ... -
Overlap Synchronisation in Multipartite Random Energy Models
[OWP-2017-13] (Mathematisches Forschungsinstitut Oberwolfach, 2017-04-29)In a multipartite random energy model, made of coupled GREMs, we determine the joint law of the overlaps in terms of the ones of the single GREMs. This provides the simplest example of the so-called synchronisation of the ... -
Some Results on Reducibility of Parabolic Induction for Classical Groups
[OWP-2017-09] (Mathematisches Forschungsinstitut Oberwolfach, 2017-03-30)Given a (complex, smooth) irreducible representation $\pi$ of the general linear group over a non-archimedean local field and an irreducible supercuspidal representation $\sigma$ of a classical group, we show that ...