Entropy due to fragmentation of dendrimers.

Jäntschi, L.; Bolboacă, S.D.

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Displaying similar documents to “Entropy due to fragmentation of dendrimers.”

On Fully Split Lacunary Polynomials in Finite Fields

Khodakhast Bibak, Igor E. Shparlinski (2011)

Bulletin of the Polish Academy of Sciences. Mathematics

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We estimate the number of possible degree patterns of k-lacunary polynomials of degree t < p which split completely modulo p. The result is based on a combination of a bound on the number of zeros of lacunary polynomials with some graph theory arguments.

An observation on the Turán-Nazarov inequality

Omer Friedland, Yosef Yomdin (2013)

Studia Mathematica

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The main observation of this note is that the Lebesgue measure μ in the Turán-Nazarov inequality for exponential polynomials can be replaced with a certain geometric invariant ω ≥ μ, which can be effectively estimated in terms of the metric entropy of a set, and may be nonzero for discrete and even finite sets. While the frequencies (the imaginary parts of the exponents) do not enter the original Turán-Nazarov inequality, they necessarily enter the definition of ω.

Boltzmann-Gibbs entropy: Axiomatic characterization and application.

Chakrabarti, C.G., De, Kajal (2000)

International Journal of Mathematics and Mathematical Sciences

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The $β$ -polynomials of complete graphs are real.

Li, Xueliang, Gutman, Ivan, Milovanović, V.Gradimir (2000)

Publications de l'Institut Mathématique. Nouvelle Série

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On the modified entropy equation.

Gselmann, Eszter (2008)

Banach Journal of Mathematical Analysis [electronic only]

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A note on the interval-valued marginal problem and its maximum entropy solution

Jiřina Vejnarová (1998)

Kybernetika

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This contribution introduces the marginal problem, where marginals are not given precisely, but belong to some convex sets given by systems of intervals. Conditions, under which the maximum entropy solution of this problem can be obtained via classical methods using maximum entropy representatives of these convex sets, are presented. Two counterexamples illustrate the fact, that this property is not generally satisfied. Some ideas of an alternative approach are presented at the end of...