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On Branching Processes in Random Environments
The Annals of Mathematical Statistics, 1969 $\{\zeta_n\}$ is a sequence of $\operatorname{iid}$ "environmental" variables in an abstract space $\Theta$. Each point $\zeta \varepsilon \Theta$ is associated with a $\operatorname{pgf} \phi_\zeta(s)$. The branching process $\{Z_n\}$ is defined as a Markov chain such that $Z_0 = k$, a finite integer, and given $Z_n$ and $\zeta_n, Z_{n+1}$ is ...
Smith, Walter L., Wilkinson, William E.
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Branching Processes in Random Environment with Sibling Dependence [PDF]
Journal of Mathematical Sciences, 2020 We consider a population of particles with unit life length. Dying each particle produces offspring whose size depends on the random environment specifying the reproduction law of all particles of the given generation and on the number of relatives of the particle.
Vatutin, V. A., Dyakonova, E. E.
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Quenched invariance principles for random walks and elliptic diffusions in random media with boundary [PDF]
, 2014 Via a Dirichlet form extension theorem and making full use of two-sided heat kernel estimates, we establish quenched invariance principles for random walks in random environments with a boundary.
Croydon, David A. +5 more
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φ-branching processes in a random environment [PDF]
Applicationes Mathematicae, 1984 Let \(\phi\) be a function mapping the set of non-negative integers into itself such that \(\phi (0)=0\). Consider a sequence of integer valued random variables \(\{Z_ n\), \(n=0,1,...\}\) and suppose that they satisfy the condition \[ Z_ 0=m,\quad E(s^{Z_{n+1}}| {\mathcal F}_ n({\bar\xi }))=[f_{\xi_ n}(s)]^{\phi (Z_ n)},\quad n\geq 0,| s|\leq 1 ...
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Applied Sciences, 2021 Probabilistic models of corrosion rate estimation in the case of two NiTi alloys obtained by different technological processes are analysed in this paper.
Nataša Kovač +4 more
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New Journal of Physics, 2018 A considerable number of systems have recently been reported in which Brownian yet non-Gaussian dynamics was observed. These are processes characterised by a linear growth in time of the mean squared displacement, yet the probability density function of ...
Vittoria Sposini +4 more
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mSystems, 2021 In recent years, our appreciation of the extent of habitable environments in Earth’s subsurface has greatly expanded, as has our understanding of the biodiversity contained within.
Lindsay I. Putman +7 more
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Frequency-specific modulation of population-level frequency tuning in human auditory cortex
BMC Neuroscience, 2009 Background Under natural circumstances, attention plays an important role in extracting relevant auditory signals from simultaneously present, irrelevant noises.
Roberts Larry E +4 more
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IEEE AccessThis study explores the potential to predict turbulent kinetic energy (TKE) from more readily acquired temperature data using temperature profiles and turbulence data collected concurrently at 10 Hz during a small experimental prescribed burn in the New ...
Dipak Dulal +4 more
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Multivariate analysis of functional metagenomes
Frontiers in Genetics, 2013 Metagenomics is a primary tool for the description of microbial and viral communities. The sheer magnitude of the data generated in each metagenome makes identifying key differences in the function and taxonomy between communities difficult to elucidate.
Elizabeth A. Dinsdale +16 more
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