Browsing 1 - Oberwolfach Preprints (OWP) by Title
Now showing items 303-322 of 405
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A Quantitative Analysis of the “Lion-Man” Game
[OWP-2019-18] (Mathematisches Forschungsinstitut Oberwolfach, 2019-07-08)In this paper we analyze, based on an interplay between ideas and techniques from logic and geometric analysis, a pursuit-evasion game. More precisely, we focus on a discrete lion and man game with an $\varepsilon$-capture ... -
Quantities that frequency-dependent selection maximizes
[OWP-2008-18] (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-18)We consider a model of frequency-dependent selection, to which we refer as the Wildcard Model, that accommodates as particular cases a number of diverse models of biologically specific situations. Two very different ... -
Quasi-Equilibria and Click Times for a Variant of Muller's Ratchet
[OWP-2022-18] (Mathematisches Forschungsinstitut Oberwolfach, 2022-11-30)Consider a population of $N$ individuals, each of them carrying a type in $\mathbb N_0$. The population evolves according to a Moran dynamics with selection and mutation, where an individual of type $k$ has the same selective ... -
Quotients of Index Two and General Quotients in a Space of Orderings
[OWP-2011-36] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-30)In this paper we investigate quotient structures and quotient spaces of a space of orderings arising from subgroups of index two. We provide necessary and sufficient conditions for a quotient structure to be a quotient ... -
Random dynamics of transcendental functions
[OWP-2014-12] (Mathematisches Forschungsinstitut Oberwolfach, 2014-08-20)This work concerns random dynamics of hyperbolic entire and meromorphic functions of finite order and whose derivative satisfies some growth condition at infinity. This class contains most of the classical families of ... -
Rank Deviations for Overpartitions
[OWP-2023-11] (Mathematisches Forschungsinstitut Oberwolfach, 2023-07-12)We prove general fomulas for the deviations of two overpartition ranks from the average, namely \begin{equation*} \overline{D}(a, M) := \sum_{n \geq 0} \Bigl( \overline{N}(a, M, n) - \frac{\overline{p}(n)}{M} \Bigr) q^n ... -
Rate of Convergence of the Density Estimation of Regression Residual
[OWP-2012-08] (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 $m(x) = \mathbb{E}\{Y|X = x\}$, this paper investigates methods for estimating the ... -
Rational Approximation on Products of Planar Domains
[OWP-2016-05] (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)We consider $A(\Omega)$, the Banach space of functions $f$ from $ \overline{\Omega}=\prod_{i \in I} \overline{U_i}$ to $\mathbb{C}$ that are continuous with respect to the product topology and separately holomorphic, where ... -
Rational Functions with Small Value Set
[OWP-2020-05] (Mathematisches Forschungsinstitut Oberwolfach, 2020-03-14)In connection with Galois Theory and Algebraic Curves, this paper investigates rational functions $h(x) = f(x)/g(x) \in \mathbb{F}_q(x)$ for which the value set $V_h = {\{h(α) | α \in \mathbb{F}_q \cup\{\infty\}}\}$ is ... -
A real algebra perspective on multivariate tight wavelet frames
[OWP-2012-11] (Mathematisches Forschungsinstitut Oberwolfach, 2012-08-13)Recent results from real algebraic geometry and the theory of polynomial optimization are related in a new framework to the existence question of multivariate tight wavelet frames whose generators have at least one vanishing ... -
Real Analyticity is Concentrated in Dimension 2
[OWP-2018-23] (Mathematisches Forschungsinstitut Oberwolfach, 2018-11-05)We prove that a real-valued function on a real analytic manifold is analytic whenever all its restrictions to $2$-dimensional analytic submanifolds are analytic functions. We also obtain analogous results in the framework ... -
Real Enumerative Invariants Relative to the Anti-Canonical Divisor and their Refinement
[OWP-2023-02] (Mathematisches Forschungsinstitut Oberwolfach, 2023-03-24)We introduce new invariants of the projective plane (and, more generally, of certain toric surfaces) that arise from the appropriate enumeration of real elliptic curves. These invariants admit a refinement (according to ... -
Real group orbits on flag ind-varieties of SL (∞, C)
[OWP-2016-01] (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)We consider the complex ind-group $G=SL (\infty, \mathbb{C})$ and its real forms $G^0=SU(\infty,\infty)$, $SU(p,\infty)$, $SL(\infty,\mathbb{R})$, $SL(\infty,\mathbb{H})$. Our main object of study are the $G^0$-orbits on ... -
Realizing Spaces as Classifying Spaces
[OWP-2015-01] (Mathematisches Forschungsinstitut Oberwolfach, 2015-04-10)Which spaces occur as a classifying space for fibrations with a given fibre? We address this question in the context of rational homotopy theory. We construct an infinite family of finite complexes realized (up to rational ... -
Reducing sub-modules of the Bergman module $\mathbb A^{(\lambda)}(\mathbb D^n)$ under the action of the symmetric group
[OWP-2017-19] (Mathematisches Forschungsinstitut Oberwolfach, 2017-07-20)The weighted Bergman spaces on the polydisc, $\mathbb A^{(\lambda)}(\mathbb D^n)$, $\lambda>0,$ splits into orthogonal direct sum of subspaces $\mathbb P_{\boldsymbol p}\big(\mathbb A^{(\lambda)}(\mathbb D^n)\big)$ indexed ... -
Reflection Positivity and Hankel Operators- the Multiplicity Free Case
[OWP-2021-10] (Mathematisches Forschungsinstitut Oberwolfach, 2021-12-15)We analyze reflection positive representations in terms of positive Hankel operators. This is motivated by the fact that positive Hankel operators are described in terms of their Carleson measures, whereas the compatibility ... -
Reflective Prolate-Spheroidal Operators and the KP/KdV Equations
[OWP-2019-24] (Mathematisches Forschungsinstitut Oberwolfach, 2019-11-05)Commuting integral and differential operators connect the topics of Signal Processing, Random Matrix Theory, and Integrable Systems. Previously, the construction of such pairs was based on direct calculation and ... -
Regularity and energy conservation for the compressible Euler equations
[OWP-2016-04] (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)We give sufficient conditions on the regularity of solutions to the inhomogeneous incompressible Euler and the compressible isentropic Euler systems in order for the energy to be conserved. Our strategy relies on commutator ... -
A Relation Between N-Qubit and 2N-1-Qubit Pauli Groups via Binary LGr(N,2N)
[OWP-2013-25] (Mathematisches Forschungsinstitut Oberwolfach, 2013-12-09)Employing the fact that the geometry of the $N$-qubit ($N\geq 2$) Pauli group is embodied in the structure of the symplectic polar space $\mathcal{W}(2N-1, 2)$ and using properties of the Lagrangian Grassmannian $LGr(N, ... -
Representation Theory of Non-Commutative Association Schemes of Order
[OWP-2010-07] (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-11)In this note, we investigate association schemes of order 6. We prove that non-normal closed subsets of such schemes have order 2 and that normal closed subsets of non-commutative schemes have order 2 or 3. After that, ...