Results 41 to 50 of about 792 (81)
Principal Solutions Revisited [PDF]
, 2015 The main objective of this paper is to identify principal solutions associated with Sturm-Liouville operators on arbitrary open intervals $(a,b) \subseteq \mathbb{R}$, as introduced by Leighton and Morse in the scalar context in 1936 and by Hartman in ...
Clark, Stephen +2 more
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Towards a statement of the S-adic conjecture through examples [PDF]
, 2011 The $S$-adic conjecture claims that there exists a condition $C$ such that a sequence has a sub-linear complexity if and only if it is an $S$-adic sequence satisfying Condition $C$ for some finite set $S$ of morphisms.
Fabien Durand +5 more
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Integers in number systems with positive and negative quadratic Pisot base
, 2013 We consider numeration systems with base $\beta$ and $-\beta$, for quadratic Pisot numbers $\beta$ and focus on comparing the combinatorial structure of the sets $\Z_\beta$ and $\Z_{-\beta}$ of numbers with integer expansion in base $\beta$, resp ...
Masáková, Zuzana, Vávra, Tomáš
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Nondispersive two-electron wave packets in driven helium [PDF]
, 2002 We provide a detailed quantum treatment of the spectral characteristics and of the dynamics of nondispersive two-electron wave packets along the periodically driven, collinear frozen planet configuration of helium.
Buchleitner, Andreas, Schlagheck, Peter
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Picone-type identity for pseudo p-Laplacian with variable power
Electronic Journal of Differential Equations, 2012 A Picone type identity is established for homogeneous differential operators involving the pseudo p-Laplacian with variable exponent p=p(x). Using this identity, it is shown that the classical Sturmian theory extends to the associated partial ...
Gabriella Bognar, Ondrej Dosly
doaj
More on the dynamics of the symbolic square root map
, 2018 In our earlier paper [A square root map on Sturmian words, Electron. J. Combin. 24.1 (2017)], we introduced a symbolic square root map. Every optimal squareful infinite word $s$ contains exactly six minimal squares and can be written as a product of ...
Peltomäki, Jarkko, Whiteland, Markus
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Picone-type inequalities for nonlinear elliptic equations and their applications
Journal of Inequalities and Applications, 2001 Picone-type inequalities are derived for nonlinear elliptic equations, and Sturmian comparison theorems are established as applications. Oscillation theorems for forced super-linear elliptic equations and superlinear-sublinear elliptic equations are ...
Takaŝi Kusano +2 more
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Generic Continuous Spectrum for Ergodic Schr"odinger Operators
, 2007 We consider discrete Schr"odinger operators on the line with potentials generated by a minimal homeomorphism on a compact metric space and a continuous sampling function. We introduce the concepts of topological and metric repetition property.
A. Avila +28 more
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Pairwise Well-Formed Modes and Transformations
, 2017 One of the most significant attitudinal shifts in the history of music occurred in the Renaissance, when an emerging triadic consciousness moved musicians towards a new scalar formation that placed major thirds on a par with perfect fifths. In this paper
D Clampitt +7 more
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, 2014 Partial autoionization rates of doubly excited one-dimensional helium in the collinear Zee and eZe configuration are obtained by means of the complex rotation method.
Bouri, Celsus +7 more
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