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Limit theorems for Bajraktarević and Cauchy quotient means of independent identically distributed random variables
We derive strong laws of large numbers and central limit theorems for Bajraktarević, Gini and exponential- (also called Beta-type) and logarithmic...
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Relativistic Chaotic Scattering
The phenomenon of chaotic scattering is very relevant in different fields in science and engineering, and it has been mainly studied in the context...
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Regularization of Inverse Problems by Neural Networks
Inverse problems arise in a variety of imaging applications, including computed tomography, non-destructive testing, and remote sensing....
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Gaussian Number Theory: \(\mathbb {Z}[i]\) of the Storm
We have in our mid a veritable maelstrom of pedagogical threads: what is a number? How do we solve Diophantine equations? How do the Fundamental...
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Applications to Analysis in Several Complex Variables
In this chapter we shall present a multitude of applications of the body of results developed so far in the area of Geometric Harmonic Analysis to...
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Equilibrium effects of intraday order-splitting benchmarks
This paper presents a continuous-time model of intraday trading, pricing, and liquidity with dynamic TWAP and VWAP benchmarks. The model is solved in...
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Discretization Methods for Convection-Dominated Problems
As we have seen in the introductory Chapter 0 , the modelling of transport and reaction processes in porous...
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Incidence: Projective Geometry
Projective geometry is the proper domain for the notion of incidence for straight lines and points; it knows no other basic notions. The basic ideas...
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Bifurcations and Early-Warning Signs for SPDEs with Spatial Heterogeneity
Bistability is a key property of many systems arising in the nonlinear sciences. For example, it appears in many partial differential equations...
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Optimal fast Johnson–Lindenstrauss embeddings for large data sets
Johnson–Lindenstrauss embeddings are widely used to reduce the dimension and thus the processing time of data. To reduce the total complexity, also...
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Visualization of 14C-labeled Gas Fixation in a Plant—Development of Real-Time Radioisotope Imaging
The development of a real-time radioisotope imaging system was summarized. The first stage was just imaging the 32P-labeled phosphate taken up by the...
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The Great Yogurt Project: Models and Symmetry Principles in Early Particle Physics
According to the received view of the development of particle physics, mathematics, and more specifically group theory, provided the key which,...
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Existence and stability of invariant/periodic measures of lattice reversible Selkov systems driven by locally Lipschitz noise
This article is concerned with the existence and stability of invariant or periodic probability measures for a wide class of lattice reversible...
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Lifting convex inequalities for bipartite bilinear programs
The goal of this paper is to derive new classes of valid convex inequalities for quadratically constrained quadratic programs (QCQPs) through the...
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Space-Aware Reconfiguration
We consider the problem of reconfiguring a set of physical objects into a desired target configuration, a typical (sub)task in robotics and...
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Zeroth-Order Nonconvex Stochastic Optimization: Handling Constraints, High Dimensionality, and Saddle Points
In this paper, we propose and analyze zeroth-order stochastic approximation algorithms for nonconvex and convex optimization, with a focus on...
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Spiral and Cyclic Structures in the Abiotic Inorganic Material World
Spiral structures such as galaxies, hurricanes, tornados, whirlpools and mollusk shells and cyclic motion such as waves and rotations abound in the...