Branching Stochastic Processes: Regulation, Regeneration, Estimation, Applications [PDF]
, 2009 2000 Mathematics Subject Classification: 60J80.This is a survey of the works of Bulgarian mathematicians in the area of Branching Stochastic ...
M. Yanev, Nikolay, V. Mitov, Kosto
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An almost sure limit theorem for super-Brownian motion [PDF]
, 2006 We establish an almost sure scaling limit theorem for super-Brownian motion on $\mathbb{R}^d$ associated with the semi-linear equation $u_t = {1/2}\Delta u +\beta u-\alpha u^2$, where $\alpha$ and $\beta$ are positive constants.
A.K. Zvonkin +13 more
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Asymptotic Behaviour of a Supercritical Galton-Watson Process with Controlled Binomial Migration [PDF]
, 2000 AMS subject classification: 60J80, 62F12, 62P10.This paper considers a branching process generated by an offspring ...
Jacob, Christine
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The Maximal Number of Particles in a Branching Process with State-Dependent Immigration [PDF]
, 2000 AMS subject classification: 60J80, 60J15.The limiting behavior of the maximal number of particles in the first n generations of a Bienaymé-Galton-Watson branching process with immigration in the state zero is ...
Mitov, Kosto
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Large deviations for the rightmost position in a branching Brownian motion
, 2017 We study the lower deviation probability of the position of the rightmost particle in a branching Brownian motion and obtain its large deviation ...
Derrida, Bernard, Shi, Zhan
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Robust Estimation in Multitype Branching Processes Based on their Asymptotic Properties [PDF]
, 2011 2000 Mathematics Subject Classification: 60J80.In this work we propose two procedures for robust estimation of the individual distributions of multitype discrete-time Galton-Watson branching processes with an increasing number of ancestors, using the ...
Atanasov, Dimitar, Stoimenova, Vessela
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Extremes of Bivariate Geometric Variables with Application to Bisexual Branching Processes [PDF]
, 2005 2000 Mathematics Subject Classification: 60J80, 60G70.We obtain a limit theorem for the row maximum of a triangular array of bivariate geometric random vectors.
V. Mitov, Kosto
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Weak convergence for the minimal position in a branching random walk: a simple proof
, 2010 Consider the boundary case in a one-dimensional super-critical branching random walk. It is known that upon the survival of the system, the minimal position after $n$ steps behaves in probability like ${3\over 2} \log n$ when $n\to \infty$.
Aidekon, Elie, Shi, Zhan
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On the transience of processes defined on Galton--Watson trees
, 2006 We introduce a simple technique for proving the transience of certain processes defined on the random tree $\mathcal{G}$ generated by a supercritical branching process. We prove the transience for once-reinforced random walks on $\mathcal{G}$, that is, a
Collevecchio, Andrea
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Branching Processes in Autoregressive Random Environment [PDF]
, 2009 2000 Mathematics Subject Classification: 60J80, 60K05.We consider the model of alternating branching processes where two Markov branching processes act alternately at random observation and treatment times. The sequences of cycles (observation, treatment)
Mayster, Penka
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