Articles with "functional limit" as a keyword



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A conditional functional limit theorem for decomposable branching processes with two types of particles

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Published in 2017 at "Mathematical Notes"

DOI: 10.1134/s0001434617050030

Abstract: Consider a critical decomposable branching process with two types of particles in which particles of the first type give birth, at the end of their life, to descendants of the first type, as well as… read more here.

Keywords: functional limit; types particles; decomposable branching; limit theorem ... See more keywords
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A Functional Limit Theorem for Decomposable Branching Processes with Two Particle Types

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Published in 2018 at "Mathematical Notes"

DOI: 10.1134/s000143461803001x

Abstract: A decomposable Galton–Watson branching process with two particle types is studied. It is assumed that the particles of the first type produce equal numbers of particles of the first and second types, while the particles… read more here.

Keywords: two particle; limit theorem; functional limit; particle types ... See more keywords
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A generalization of functional limit theorems on the Riemann zeta process

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Published in 2019 at "Osaka Journal of Mathematics"

DOI: 10.18910/73631

Abstract: $\zeta(\cdot)$ being the Riemann zeta function, $\zeta_{\sigma}(t) := \frac{\zeta(\sigma + i t)}{\zeta(\sigma)}$ is, for $\sigma > 1$, a characteristic function of some infinitely divisible distribution $\mu_{\sigma}$. A process with time parameter $\sigma$ having $\mu_{\sigma}$ as… read more here.

Keywords: functional limit; sigma; process; riemann zeta ... See more keywords