Flows of constant mean curvature tori in the 3-sphere: The equivariant case

We present a deformation for constant mean curvature tori in the 3-sphere. We show that the moduli space of equivariant constant mean curvature tori in the 3-sphere is connected, and we classify the minimal, the embedded, and the Alexandrov embedded tori therein. We conclude with an instability result.Comment: v2: 33 pages, 9 figures. Instability result adde

Improving the pricing of options: a neural network approach

In this paper we apply statistical inference techniques to build neural network models which are able to explain the prices of call options written on the German stock index DAX. By testing for the explanatory power of several input variables serving as network inputs, some insight into the pricing process of the option market is obtained. The results indicate that statistical specification strategies lead to parsimonious networks which have a superior out-of-sample performance when compared to the Black/Scholes model. We further validate our results by providing plausible hedge parameters. --Option Pricing,Neural Networks,Statistical Inference,Model Selection

Improving the pricing of options: a neural network approach

In this paper we apply statistical inference techniques to build neural network models which are able to explain the prices of call options written on the German stock index DAX. By testing for the explanatory power of several input variables serving as network inputs, some insight into the pricing process of the option market is obtained. The results indicate that statistical specification strategies lead to parsimonious networks which have a superior out-of-sample performance when compared to the Black/Scholes model. We further validate our results by providing plausible hedge parameters

Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution

Over the past two decades, there has been much progress on the classification of symplectic linear quotient singularities V/G admitting a symplectic (equivalently, crepant) resolution of singularities. The classification is almost complete but there is an infinite series of groups in dimension 4 - the symplectically primitive but complex imprimitive groups - and 10 exceptional groups up to dimension 10, for which it is still open. In this paper, we treat the remaining infinite series and prove that for all but possibly 39 cases there is no symplectic resolution. We thereby reduce the classification problem to finitely many open cases. We furthermore prove non-existence of a symplectic resolution for one exceptional group, leaving 39+9=48 open cases in total. We do not expect any of the remaining cases to admit a symplectic resolution

Ro 15-4513 Antagonizes Alcohol-Induced Sedation in Mice Through aß¿2-type GABA(A) Receptors

Peer reviewedPublisher PD

Reframing a novel decentralized knowledge management concept as a desirable vision: As we may realize the Memex

CITATION: Schmitt, Ulrich. 2021. "Reframing a Novel Decentralized Knowledge Management Concept as a Desirable Vision: As We May Realize the Memex" Sustainability 13(7): 4038. doi.10.3390/su13074038The original publication is available at https://www.mdpi.com/journal/sustainabilityProposing a major (though envisaged synergetic) shift in the knowledge management (KM) paradigm needs to convince a skeptical audience. This article attempts such a feat and motivates its conceptual considerations by fusing a wide scope of theoretical KM-related foundations in response to current KM unsustainabilities and emerging enabling technologies. The envisioned workflows, infrastructure, affordances, and impact resulting from the progressing design science research and prototyping efforts are consolidated and reframed, guided by a five-step visioneering process and twelve triple-criteria-clusters combining innovative, technological, and vision-related qualities. Inspired by Bush’s “Memex”, a desirable vision never realized since its suggestion three quarters of a century ago, the novel KM system (KMS) pursues the scenario of a mutually beneficial co-evolution between individual and institutional KM activities. This article follows up on the unsatisfactory and unsustainable state of current KM affairs suffering from accelerating information abundance, invisible work, structural interdisciplinary holes, lacking personal tools, and widening opportunity divides. By portraying a potentially transformative and game-changing technology, the crafting and drafting of a desirable, sustainable, and viable KMS vision assures transparency and can be more easily shared with a critical mass of stakeholders as a prerequisite for creating the respective future KM reality. The drafting of the “Desirable Sustainability Vision” is envisaged to assist a currently accepted KMS start-up project and investment.Publisher’s versio

(Neg)Entropic scenarios affecting the wicked design spaces of knowledge management systems

CITATION: Schmitt, U. 2020. (Neg)Entropic scenarios affecting the wicked design spaces of knowledge management systems. Entropy, 22(2):169, doi:10.3390/e22020169.The original publication is available at https://www.mdpi.comThe envisioned embracing of thriving knowledge societies is increasingly compromised by threatening perceptions of information overload, attention poverty, opportunity divides, and career fears. This paper traces the roots of these symptoms back to causes of information entropy and structural holes, invisible private and undiscoverable public knowledge which characterize the sad state of our current knowledge management and creation practices. As part of an ongoing design science research and prototyping project, the article’s (neg)entropic perspectives complement a succession of prior multi-disciplinary publications. Looking forward, it proposes a novel decentralized generative knowledge management approach that prioritizes the capacity development of autonomous individual knowledge workers not at the expense of traditional organizational knowledge management systems but as a viable means to foster their fruitful co-evolution. The article, thus, informs relevant stakeholders about the current unsustainable status quo inhibiting knowledge workers; it presents viable remedial options (as a prerequisite for creating the respective future generative Knowledge Management (KM) reality) to afford a sustainable solution with the generative potential to evolve into a prospective general-purpose technology.https://www.mdpi.com/1099-4300/22/2/169Publisher's versio

Towards a Twist Conjecture in Non-Commutative Iwasawa Theory

In this thesis we study three conjectures of K. Kato. The first one concerns p-adic Lie extensions F/Q with Galois group G containing the cyclotomic Z_p-extension Q_cyc and the existence of an element L_p,u in K_1(Z_p[[G]]_S) depending on a global unit u. L_p,u is required to map to a specified element under the connecting homomorphism from K-theory and to satisfy a prescribed interpolation property. We state an analogous conjecture for imaginary quadratic number felds K and, under a torsion assumption, prove it for certain abelian CM elliptic curve cases. The second conjecture is Kato's local main conjecture for p-adic Lie extensions L/Q_p with Galois group G' containing Q_p,cyc and concerns the existence of an element E_p,u' in K_1(Z_p^ur[[G']]_S') depending on a global unit u. E_p,u' is required to map to a specified element under the connecting homomorphism and to satisfy a prescribed interpolation property. In a paper by O. Venjakob, for certain abelian extensions an element E_p,u' is constructed and we prove that it satisfies the desired interpolation property. Regarding the third conjecture, we prove the following for certain CM elliptic curves E/Q and good ordinary primes p. Up to an element \Omega_p,u,u' reflecting a base change related to u and u', twists of L_p,u and E_p,u' by representations related to E assemble to an element L_p,u,E that, up to an Euler factor, is a characteristic element of the dual Selmer group of E and that has an interpolation property related to that expected of a p-adic L-function of E