Product-free sets with high density
Pär Kurlberg, Jeffrey C. Lagarias, Carl Pomerance (2012)
Acta Arithmetica
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Pär Kurlberg, Jeffrey C. Lagarias, Carl Pomerance (2012)
Acta Arithmetica
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Xavier Ros-Oton, Joaquim Serra (2019)
Matematica, Cultura e Società. Rivista dell'Unione Matematica Italiana
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Free boundary problems are those described by PDEs that exhibit a priori unknown (free) interfacesor boundaries. The most classical example is the melting of ice to water (the Stefan problem). In this case, the freeboundary is the liquid-solid interface between ice and water. A central mathematical challenge in this context is to understand the regularity and singularities of free boundaries. In this paper we provide a gentle introduction to this topic by presenting some classical results...
A. J. Kfoury (1988)
Banach Center Publications
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Hentzel, I.R., Peresi, L.A. (2006)
Experimental Mathematics
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R. Z. Buzyakova, A. Chigogidze (2011)
Fundamenta Mathematicae
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Our main result states that every fixed-point free continuous self-map of ℝⁿ is colorable. This result can be reformulated as follows: A continuous map f: ℝⁿ → ℝⁿ is fixed-point free iff f̃: βℝⁿ → βℝⁿ is fixed-point free. We also obtain a generalization of this fact and present some examples
Caro, Yair (1990)
International Journal of Mathematics and Mathematical Sciences
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Karl Dilcher, Lutz G. Lucht (2006)
Acta Arithmetica
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Jean Berstel (1985)
Publications du Département de mathématiques (Lyon)
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B. Tilson (1972)
Semigroup forum
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Walter Thirring (1972)
Recherche Coopérative sur Programme n°25
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Tomasz Schoen (2001)
Acta Arithmetica
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W. Klotz (1977)
Acta Arithmetica
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C. Salueña, L. Almazán, N. V. Brilliantov (2011)
Mathematical Modelling of Natural Phenomena
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The evolution of a force-free granular gas with a constant restitution coefficient is studied by means of granular hydrodynamics. We numerically solve the hydrodynamic equations and analyze the mechanisms of cluster formation. According to our findings, the presently accepted mode-enslaving mechanism may not be responsible for the latter phenomenon. On the contrary, we observe that the cluster formation is mainly driven by shock-waves,...
Jan Mycielski (1958)
Fundamenta Mathematicae
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Ekhad, Shalosh B., Zeilberger, Doron (1998)
Journal of Integer Sequences [electronic only]
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