On the vectorial multifractal analysis in a metric space
Multifractal analysis is typically used to describe objects possessing some type of scale invariance. During the last few decades, multifractal analysis has shown results of outstanding significance in theory and applications. In particular, it is widely
Najmeddine Attia, Amal Mahjoub
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Exact Derivation of a Finite-Size Scaling Law and Corrections to Scaling in the Geometric Galton-Watson Process. [PDF]
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
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
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]
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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On statistical models on super trees
We consider a particular example of interplay between statistical models related to CFT on one hand, and to the spectral properties of ODE, known as ODE/IS correspondence, on the other hand. We focus at the representation of wave functions of Schrödinger
A. S. Gorsky, S. K. Nechaev, A. F. Valov
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Critical Branching Random Walks with Small Drift [PDF]
We study critical branching random walks (BRWs) $U^{(n)}$ on~$\mathbb{Z}_{+}$ where for each $n$, the displacement of an offspring from its parent has drift~$2\beta/\sqrt{n}$ towards the origin and reflection at the origin.
Zheng, Xinghua
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Branching random walks and multi-type contact-processes on the percolation cluster of ${\mathbb{Z}}^{d}$ [PDF]
In this paper we prove that, under the assumption of quasi-transitivity, if a branching random walk on ${{\mathbb{Z}}^d}$ survives locally (at arbitrarily large times there are individuals alive at the origin), then so does the same process when ...
Bertacchi, Daniela, Zucca, Fabio
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Stochastic Dynamics of Proteins and the Action of Biological Molecular Machines
It is now well established that most if not all enzymatic proteins display a slow stochastic dynamics of transitions between a variety of conformational substates composing their native state.
Michal Kurzynski, Przemyslaw Chelminiak
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Moment asymptotics for multitype branching random walks in random environment [PDF]
We study a discrete time multitype branching random walk on a finite space with finite set of types. Particles follow a Markov chain on the spatial space whereas offspring distributions are given by a random field that is fixed throughout the evolution ...
Gün, Onur+2 more
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