Results 51 to 60 of about 455 (156)
Information‐Theoretic Approach to Financial Market Modeling
ABSTRACT The paper treats the financial market as a communication system, using four information‐theoretic assumptions to derive an idealized model with only one parameter. State variables are scalar stationary diffusions. The model maximizes the surprisal of the market and minimizes the Kullback–Leibler divergence between the benchmark‐neutral pricing
Eckhard Platen
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Too Much Finance: Mechanisms That Harm Growth and Policy Implications
ABSTRACT The mechanisms for the financial sector to harm growth arise through short‐termism of financial markets. This leads to the misallocation of resources in the private sector, leading to financial crises and damage to growth. However, harm to growth comes not only from financial crises, but also from the failure of short‐termist financial markets
Arup Daripa +2 more
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The spinor and Weierstrass representations of surfaces in space
In this paper, following Sullivan, Kusner, and Schmitt, we study conformal immersions of Riemann surfaces into the three-dimensional Euclidean space. Regarding such immersions as special bundle maps from the tangent bundle of the surface to the cotangent bundle of the 2-dimensional sphere, we generalize the classical Weierstrass representation of ...
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Weierstrass representations for harmonic morphisms on Euclidean spaces and spheres.
We construct large families of harmonic morphisms which are holomorphic with respect to Hermitian structures by finding heierarchies of Weierstrass-type representations. This enables us to find new examples of complex-valued harmonic morphisms from Euclidean spaces and spheres.
Baird, P., Wood, J.C.
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The Long Shadow of Karl Weierstraß Over the Calculus of Variations
ABSTRACT At first glance, it appears that the contents of Karl Weierstraß's (1815–1897) lecture courses on the calculus of variations were made available to the public only in the seventh volume of his Mathematische Werke, and thus not until 30 years after his death.
Peter Ullrich
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Corrugated Surfaces with Slow Modulation and Quasiclassical Weierstrass Representation [PDF]
Quasiclassical generalized Weierstrass representation for highly corrugated surfaces with slow modulation in the three-dimensional space is proposed. Integrable deformations of such surfaces are described by the dispersionless Veselov-Novikov hierarchy.
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ABSTRACT This study presents a three‐dimensional cohesive phase field framework for simulating quasi‐static fracture in Gyroid lattice structures. To the authors' knowledge, this is one of the first experimentally validated applications of a diffuse cohesive phase field model to describe damage and fracture evolution in additively manufactured ...
Deison Preve +4 more
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ABSTRACT In this paper, we consider the optimal control problem for an unknown continuous‐time nonlinear system, and present a framework that integrates model‐based and model‐free methods to solve it. Each approach offers distinct advantages: model‐based techniques provide offline synthesis and data efficiency, while model‐free procedures excel at ...
Surabhi Athalye +2 more
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A Weierstrass Representation Formula for Discrete Harmonic Surfaces
A discrete harmonic surface is a trivalent graph which satisfies the balancing condition in the 3-dimensional Euclidean space and achieves energy minimizing under local deformations. Given a topological trivalent graph, a holomorphic function, and an associated discrete holomorphic quadratic form, a version of the Weierstrass representation formula for
Kotani, Motoko, Naito, Hisashi
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Transformation Discriminant Analysis for Constructing Optimal Biomarker Combinations
ABSTRACT Accurate diagnostic tests are essential for effective screening and treatment. However, individual biomarkers often fail to provide sufficient diagnostic accuracy, as they typically capture only one aspect of the complex disease process. Combining multiple biomarkers, each capturing a distinct mechanism, can help construct more informative ...
Ainesh Sewak +2 more
wiley +1 more source

