Results 31 to 40 of about 1,983,959 (269)
A N-branching random walk with random selection
Latin American Journal of Probability and Mathematical Statistics, 2017 We consider an exactly solvable model of branching random walk with random selection, which describes the evolution of a population with $N$ individuals on the real line. At each time step, every individual reproduces independently, and its offspring are positioned around its current locations.
Cortines, Aser, Mallein, Bastien
openaire +4 more sources
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
openaire +3 more sources
A probabilistic model for martensitic avalanches
MATEC Web of Conferences, 2015 We present a probabilistic model for the description of martensitic avalanches. Our approach to the analysis of the model is based on an associated general branching random walk process. Comparisons are reported for numerical and analytical solutions and
Ball John M. +2 more
doaj +1 more source
COVER TIME FOR THE FROG MODEL ON TREES
Forum of Mathematics, Sigma, 2019 The frog model is a branching random walk on a graph in which particles branch only at unvisited sites. Consider an initial particle density of $\unicode[STIX]{x1D707}$ on the full $d$-ary tree of height $n$.
CHRISTOPHER HOFFMAN +2 more
doaj +1 more source
Random walk on barely supercritical branching random walk [PDF]
Probability Theory and Related Fields, 2019 Let $\mathcal{T}$ be a supercritical Galton-Watson tree with a bounded offspring distribution that has mean $μ>1$, conditioned to survive. Let $φ_{\mathcal{T}}$ be a random embedding of $\mathcal{T}$ into $\mathbb{Z}^d$ according to a simple random walk step distribution.
Remco van der Hofstad +2 more
openaire +3 more sources
Random walk on the range of random walk [PDF]
We study the random walk X on the range of a simple random walk on ℤ d in dimensions d≥4. When d≥5 we establish quenched and annealed scaling limits for the process X, which show that the intersections of the original simple random walk path are ...
Croydon, David A.
core +1 more source
Biological network growth in complex environments: A computational framework.
PLoS Computational Biology, 2020 Spatial biological networks are abundant on all scales of life, from single cells to ecosystems, and perform various important functions including signal transmission and nutrient transport.
Torsten Johann Paul +1 more
doaj +1 more source
Random walks on Galton-Watson trees with infinite variance offspring distribution conditioned to survive [PDF]
, 2008 We establish a variety of properties of the discrete time simple random walk on a Galton-Watson tree conditioned to survive when the offspring distribution, Z say, is in the domain of attraction of a stable law with index alpha is an element of (1,2]. In
Croydon, David A., Kumagai, Takashi
core
Molecular Oncology, EarlyView.Single‐cell DNA methylation (scDNAme) profiling maps epimutational clonal evolution, revealing mechanisms of malignancy and therapeutic resistance across diverse cancer types. By providing a high‐resolution landscape of intratumoral heterogeneity, these technologies empower precise patient stratification, guide the development of enhanced ...
Ik Soo Kim
wiley +1 more source
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