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      Geometric phases, Everett's many-worlds interpretation of quantum mechanics, and wormholes

      February 27, 2023

      Physics
      Quantum Physics
      General Relativity and Quantum Cosmology
      We present how the formalism of geometric phases in adiabatic quantum dynamics provides geometric realisations permitting to ``embody'' the Everett's many-worlds interpretation of quantum mechanics, including interferences between the world...

      Locally homogeneous holomorphic geometric structures on projective varieties

      February 27, 2023

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      Mathematics
      Differential Geometry
      Algebraic Geometry
      In any smooth projective variety with holomorphic locally homogeneous structure modelled on a homogeneous variety, we determine the subvarieties which develop to the model....

      ResQPASS: an algorithm for bounded variable linear least squares with asymptotic Krylov convergence

      February 27, 2023

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      Mathematics
      Computer Science
      Optimization and Control
      Numerical Analysis
      Numerical Analysis
      We present the Residual Quadratic Programming Active-Set Subspace (ResQPASS) method that solves large-scale linear least-squares problems with bound constraints on the variables. The problem is solved by creating a series of small problems ...

      Boundary Effects on the Controllability of Coupled KdV Systems

      February 26, 2023

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      Mathematics
      Analysis of PDEs
      Optimization and Control
      Analysis of PDEs
      Optimization and Control
      We study the exact boundary controllability of a nonlinear coupled system of two Korteweg-de Vries equations on a bounded interval. The model describes the interactions of two weakly nonlinear gravity waves in a stratified fluid. Due to the...

      Observation of tunable discrete time crystalline phases

      February 26, 2023

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      Physics
      Mesoscale and Nanoscale Physics
      Mesoscale and Nanoscale Physics
      Discrete time crystals (DTCs) are emergent non-equilibrium phases of periodically driven many-body systems, with potential applications ranging from quantum computing to sensing and metrology. There has been significant recent interest in u...

      Weighted contractivity for derivatives of functions in the Bergman space on the unit disk

      February 26, 2023

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      Mathematics
      Complex Variables
      Complex Variables
      In a recent paper, Ramos and Tilli proved certain sharp inequality for analytic functions in subdomains of the unit disk. We will generalize their main inequality for derivatives of functions from Bergman space with respect to two diferent ...

      Bi-Coupling Method and Applications

      February 26, 2023

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      Mathematics
      Probability
      Probability
      By developing a new technique called the bi-coupling argument, we estimate the relative entropy between different diffusion processes in terms of the distances of initial distributions and drift-diffusion coefficients. As an application, th...

      Key-Exchange Convolutional Auto-Encoder for Data Augmentation in Early Knee Osteoarthritis Detection

      February 26, 2023

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      Electrical Engineering and Systems Science
      Computer Science
      Image and Video Processing
      Computer Vision and Pattern Recognition
      Machine Learning
      Image and Video Processing
      Computer Vision and Pattern Recognition
      Machine Learning
      Knee Osteoarthritis (KOA) is a common musculoskeletal condition that significantly affects mobility and quality of life, particularly in elderly populations. However, training deep learning models for early KOA classification is often hampe...

      Reimplementing Mizar in Rust

      February 26, 2023

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      Computer Science
      Programming Languages
      Programming Languages
      This paper describes a new open-source proof processing tool, mizar-rs, a wholesale reimplementation of core parts of the Mizar proof system, written in Rust. In particular, the "checker" and "analyzer" of Mizar are implemented, which toget...

      Discovering Top-k Structural Hole Spanners in Dynamic Networks

      February 26, 2023

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      Computer Science
      Social and Information Networks
      Social and Information Networks
      Structural Hole (SH) theory states that the node which acts as a connecting link among otherwise disconnected communities gets positional advantages in the network. These nodes are called Structural Hole Spanners (SHS). Numerous solutions a...
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