Heavy-tailed branching random walks on multidimensional lattices. A moment approach [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2020 We study a continuous-time branching random walk (BRW) on the lattice ℤd, d ∈ ℕ, with a single source of branching, that is the lattice point where the birth and death of particles can occur.
A. Rytova, E. Yarovaya
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Branching Random Walks with One Particle Generation Center and Possible Absorption at Every Point
Mathematics, 2023 We consider a new model of a branching random walk on a multidimensional lattice with continuous time and one source of particle reproduction and death, as well as an infinite number of sources in which, in addition to the walk, only the absorption of ...
Elena Filichkina, Elena Yarovaya
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On large-deviation probabilities for the empirical distribution of branching random walks with heavy tails [PDF]
Journal of Applied Probability, 2020 Given a branching random walk $(Z_n)_{n\geq0}$ on $\mathbb{R}$ , let $Z_n(A)$ be the number of particles located in interval A at generation n. It is well known that under some mild conditions, $Z_n(\sqrt nA)/Z_n(\mathbb{R})$ converges almost ...
Shuxiong Zhang
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A Note on the Transience of Critical Branching Random Walks on the Line [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Gantert and Müller (2006) proved that a critical branching random walk (BRW) on the integer lattice is transient by analyzing this problem within the more general framework of branching Markov chains and making use of Lyapunov functions. The main purpose
Gerold Alsmeyer, Matthias Meiners
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Patchy nuclear chain reactions
Communications Physics, 2021 Understanding and predicting fluctuations of the neutron population within a nuclear reactor is of fundamental importance for nuclear safety, especially in connection with reactor control at startup and shutdown.
Eric Dumonteil +11 more
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Branching Random Walk with Catalysts [PDF]
Electronic Journal of Probability, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kesten, Harry, Sidoravicius, Vladas
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Exact Derivation of a Finite-Size Scaling Law and Corrections to Scaling in the Geometric Galton-Watson Process. [PDF]
PLoS ONE, 2016 The theory of finite-size scaling explains how the singular behavior of thermodynamic quantities in the critical point of a phase transition emerges when the size of the system becomes infinite. Usually, this theory is presented in a phenomenological way.
Álvaro Corral +2 more
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Note on the Generalized Branching Random Walk on the Galton–Watson Tree
Fractal and Fractional, 2023 Let ∂T be a super-critical Galton–Watson tree. Recently, the first author computed almost surely and simultaneously the Hausdorff dimensions of the sets of infinite branches of the boundary of ∂T along which the sequence SnX(t)/SnX˜(t) has a given set of
Najmeddine Attia, Rim Amami, Rimah Amami
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Algorithm for branching and population control in correlated sampling
Physical Review Research, 2023 Correlated sampling has wide-ranging applications in Monte Carlo calculations. When branching random walks are involved, as commonly found in many algorithms in quantum physics and electronic structure, population control is typically not applied with ...
Siyuan Chen +3 more
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On subcritical multi-type branching process in random environment [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We investigate a multi-type Galton-Watson process in a random environment generated by a sequence of independent identically distributed random variables.
Elena Dyakonova
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