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Creators/Authors contains: "Shimizu, Ryosuke"

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  1. ; ; (, Annales Fennici Mathematici)
    In the context of a metric measure space \((X,d,\mu)\), we explore the potential-theoretic implications of having a finite-dimensional Besov space. We prove that if the dimension of the Besov space \(B^\theta_{p,p}(X)\) is \(k>1\), then \(X\) can be decomposed into \(k\) number of irreducible components (Theorem 1.1). Note that \(\theta\) may be bigger than \(1\), as our framework includes fractals. We also provide sufficient conditions under which the dimension of the Besov space is 1. We introduce critical exponents \(\theta_p(X)\) and \(\theta_p^{\ast}(X)\) for the Besov spaces. As examples illustrating Theorem 1.1, we compute these critical exponents for spaces \(X\) formed by glueing copies of \(n\)-dimensional cubes, the Sierpiński gaskets, and of the Sierpiński carpet. 
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    Free, publicly-accessible full text available January 2, 2026
  2. ; ; ; ; ; ; ; ; ; ; et al (, Energy & Environmental Science)
    A systematic methodology for the quantification of lithium inventory is developed and the degradation mechanisms of high-voltage lithium batteries are revealed. 
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