Approximation by algebraic numbers - Cambridge Tracts in Mathematics 160

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Heterogeneous ubiquitous systems in ℝd and Hausdorff dimension (2007, background): “[35] Mandelbrot, B.B.: Intermittent turbulence in self-similar cascades: divergence of high mo- ments and dimension of the carrier.”
Transcendence of Periods: The State of the Art (2006, background): “If the integral exists, then its value is either zero or transcendental.”
Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces (2013, background): “22There are a number of results which allow this restriction to be weakened; see [16] for a detailed account.”