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Musical Chemistry and Spectroscopy: Analogies Bridging Two Worlds in Multiple Dimensions
Music and spectroscopy speak the same language: that of fluctuations, line shapes, and ensembles. Herein, we establish useful analogies between music, chemistry, and spectroscopy, extending even to multidimensional and time‐resolved spectroscopies, with a mathematically‐grounded derivation and motivation.
Ricardo J. Fernández‐Terán
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CHAPTER 2 ERGODIC THEORY ON COMPACT METRIC SPACES
Introduction. We discuss equilibria, namely measures on which supremum is attained. This Chapter provides an introduction to the theory called thermodynamical formalism, which will be the main technical tool in this book.
Ergodic Theory On
core
ABSTRACT HR faces a conundrum over how to organize hybrid working patterns given the pros and cons associated with conducting work across multiple domains. Many organizations are currently seeking to clarify and often increase the requirements for employee presence at employer premises, meaning studies are needed to better understand how HR should look
Michael E. Clinton +3 more
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Finite‐Time Protocols Stabilize Charging in Noisy Ising Quantum Batteries
A transverse‐field quantum Ising chain is charged as a quantum battery using finite‐time ramps, which suppress energy oscillations and stabilize charging compared to sudden quenches. When time‐correlated noise is introduced, the outcome depends entirely on the protocol: noise can either boost stored energy or improve efficiency, never both ...
Riccardo Grazi +3 more
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Navigating Classical and Nonclassical Realms of Nucleation and Crystallization
Classical nucleation and growth theories have long been foundational, yet recent nonclassical concepts have challenged and refined our understanding of solid‐state genesis. This paradigm shift introduced new, often ambiguous vocabulary. Here, we clarify key concepts, correct common misconceptions, and provide a terminological field guide across systems,
Stephan E. Wolf, Peter G. Vekilov
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Protein deep learning is moving from single structure prediction toward bound complex modeling and conformational ensemble generation. An architectural perspective shows how symmetry, evolutionary information, generative sampling, and energetic grounding shape performance and generalization.
Daniele Angioletti +3 more
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Compact well-bounded operators [PDF]
Every compact well-bounded operator has a representation as a linear combination of disjoint projections reminiscent of the representation of compact self-adjoint operators. In this note we show that the converse of this result holds, thus characterizing
Qingping, C., Doust, I.
core
The Concept of the Mixing Index
Abstract Many current measures of mixing, such as the statistics of concentration, the scalar dissipation rate, or dilution index, are based on the dilution of a single component or pseudo‐component. Because of this, they miss the influence of numerous conditions that directly change true mixing, such as initial separation of chemically distinct water ...
David A. Benson +2 more
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Likelihood Estimation for Stochastic Differential Equations with Mixed Effects
ABSTRACT Stochastic differential equations provide a powerful tool for modelling dynamic phenomena affected by random noise. When time series are observed for several experimental units, it is often the case that some of the parameters vary between the individual experimental units.
Fernando Baltazar‐Larios +2 more
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Convergence and combinatorics of the Reverse algorithm
Abstract We study the Reverse algorithm, a multidimensional continued fraction algorithm, which is not unimodular. We show that the Reverse algorithm is ergodic and, by proving that its second Lyapunov exponent is negative, that it is a.e. exponentially convergent.
Hiroaki Ito +2 more
wiley +1 more source

