Výsledky vyhledávání - "Hernandez, Osvaldo"

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On Multitype Random Forests with a Given Degree Sequence, the Total Population of Branching Forests and Enumerations of Multitype Forests

Autor: Hernández, Osvaldo Angtuncio

The degree sequence $(N_{i,j}(k),1\leq i,j\leq d,k\geq 0)$ of a multitype forest with $d$ types, is the number of individuals type $i$, having $k$ children type $j$. We construct a multitype forest sampled uniformly from all multitype forest with a g

Externí odkaz: http://arxiv.org/abs/2003.03036

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Multidimensional random walks conditioned to stay ordered via generalized ladder height functions

Autor: Hernández, Osvaldo Angtuncio

Random walks conditioned to stay positive are a prominent topic in fluctuation theory. One way to construct them is as a random walk conditioned to stay positive up to time $n$, and let $n$ tend to infinity. A second method is conditioning instead to

Externí odkaz: http://arxiv.org/abs/1905.05693

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Dini derivatives for Exchangeable Increment processes and applications

Autor: Hernández, Osvaldo Angtuncio, Bravo, Gerónimo Uribe

Publikováno v: Trans. Amer. Math. Soc. Ser. B 7 (2020), 24-45

Let $X$ be an exchangeable increment (EI) process whose sample paths are of infinite variation. We prove that, for any fixed $t$ almost surely, \[ \limsup_{h\to 0 \pm} (X_{t+h}-X_t)/h=\infty \quad\text{and}\quad \liminf_{h\to 0\pm} (X_{t+h}-X_t)/h=-\

Externí odkaz: http://arxiv.org/abs/1903.04745

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