Results 31 to 40 of about 38,313 (309)
Survival probability of the branching random walk killed below a linear boundary
, 2010 We give an alternative proof of a result by N. Gantert, Y. Hu and Z. Shi on the asymptotic behavior of the survival probability of the branching random walk killed below a linear boundary, in the special case of deterministic binary branching and bounded
Bérard, Jean, Gouéré, Jean-Baptiste
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Survival of Branching Random Walks in Random Environment [PDF]
Journal of Theoretical Probability, 2009 We study survival of nearest-neighbour branching random walks in random environment (BRWRE) on ${\mathbb Z}$. A priori there are three different regimes of survival: global survival, local survival, and strong local survival. We show that local and strong local survival regimes coincide for BRWRE and that they can be characterized with the spectral ...
Gantert, Nina +3 more
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On the trace of branching random walks [PDF]
, 2010 We study branching random walks on Cayley graphs. A first result is that the trace of a transient branching random walk on a Cayley graph is a.s. transient for the simple random walk. In addition, it has a.s.
Benjamini, Itai, Müller, Sebastian
core
, 2015 Chen [Ann. Appl. Probab. {\bf 11} (2001), 1242--1262] derived exact convergence rates in a central limit theorem and a local limit theorem for a supercritical branching Wiener process.We extend Chen's results to a branching random walk under weaker ...
Gao, Zhiqiang, Liu, Quansheng
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Branching-rate expansion around annihilating random walks [PDF]
Physical Review E, 2012 We present some exact results for branching and annihilating random walks. We compute the nonuniversal threshold value of the annihilation rate for having a phase transition in the simplest reaction-diffusion system belonging to the directed percolation universality class.
Benitez, Federico, Wschebor, Nicolas
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Micropatterned Biphasic Printed Electrodes for High‐Fidelity on‐Skin Bioelectronics
Advanced Functional Materials, EarlyView.Micropatterned biphasic printed electrodes achieve unprecedented skin conformity and low impedance by combining liquid‐metal droplets with microstructured 3D lattices. This scalable approach enables high‐fidelity detection of ECG, EMG, and EEG signals, including alpha rhythms from the forehead, with long‐term comfort and stability.
Manuel Reis Carneiro +4 more
wiley +1 more source
Criticality for branching processes in random environment
, 2005 We study branching processes in an i.i.d. random environment, where the associated random walk is of the oscillating type. This class of processes generalizes the classical notion of criticality.
Afanasyev, V. I. +3 more
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Global survival of branching random walks and tree-like branching random walks
Latin American Journal of Probability and Mathematical Statistics, 2017 17 pages, 5 figures, added subsection on Random ...
Bertacchi, Daniela +2 more
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Advanced Functional Materials, EarlyView.This study introduces a novel multi‐scale scaffold design using L‐fractals arranged in Archimedean tessellations for tissue regeneration. Despite similar porosity, tiles display vastly different tensile responses (1–100 MPa) and deformation modes. In vitro experiments with hMSCs show geometry‐dependent growth and activity. Over 55 000 tile combinations
Maria Kalogeropoulou +4 more
wiley +1 more source
Branching Processes in Simple Random Walk [PDF]
Proceedings of the American Mathematical Society, 1975 Let N ( a ) N(a) be the number of overcrossings of height a a in a simple random walk. For p > 1 / 2 p > 1/2 , the process N ( 0 ) , N ( 1 ) ,
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