Results 41 to 50 of about 38,416 (305)
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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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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Molecular Oncology, EarlyView.Pancreatic sensory neurons innervating healthy and PDAC tissue were retrogradely labeled and profiled by single‐cell RNA sequencing. Tumor‐associated innervation showed a dominant neurofilament‐positive subtype, altered mitochondrial gene signatures, and reduced non‐peptidergic neurons.
Elena Genova +14 more
wiley +1 more source
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
The range of tree-indexed random walk in low dimensions
, 2015 We study the range $R_n$ of a random walk on the $d$-dimensional lattice $\mathbb{Z}^d$ indexed by a random tree with $n$ vertices. Under the assumption that the random walk is centered and has finite fourth moments, we prove in dimension $d\leq3$ that ...
Gall, Jean-François Le, Lin, Shen
core +1 more source
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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FEBS Open Bio, EarlyView.Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei +3 more
wiley +1 more source
Branching Random Walks with Ageing
MathematicsBranching processes are stochastic models describing the evolution of populations in which individuals reproduce and die independently over time. In the classical setting, an individual’s reproductive capacity is fixed throughout its lifetime.
Daniela Bertacchi +2 more
doaj +1 more source
Strong local survival of branching random walks is not monotone
, 2013 The aim of this paper is the study of the strong local survival property for discrete-time and continuous-time branching random walks. We study this property by means of an infinite dimensional generating function G and a maximum principle which, we ...
Bertacchi, Daniela, Zucca, Fabio
core +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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