Results 91 to 100 of about 220,579 (315)
On the multifractal analysis of the branching random walk in R^d [PDF]
arXiv, 2013 We establish the almost sure validity of the multifractal formalism for R^d-valued branching random walks on the whole relative interior of the natural convex domain of study.
arxiv
The multitype branching random walk, II
Journal of Multivariate Analysis, 1982 AbstractThe limiting behaviour of the multitype branching random walk is studied. A limit theorem is proven for the supercritical process. Steady‐state distributions are shown to exist for the subcritical process with immigration, and for the critical transient process beginning with Poisson random fields.
openaire +3 more sources
Machine Learning in Polymer Research
Advanced Materials, Volume 37, Issue 11, March 19, 2025.Artificial intelligence (AI) has permeated every aspect of science, including polymer research. Researchers from both fields need to collaborate to understand the challenges and opportunities of each domain. This review is therefore written by mathematicians and polymer chemists to highlight the key research questions polymer chemists aim to address ...
Wei Ge +4 more
wiley +1 more source
Colored Radiative Cooling: from Photonic Approaches to Fluorescent Colors and Beyond
Advanced Materials, Volume 37, Issue 15, April 16, 2025.Colored radiative cooling (CRC) has become a prevailing technology for achieving colorful appearance and simultaneously enhancing the effective solar reflectance of cooling coatings. This review presents recent advancements in CRC and its profound impact on energy savings in real‐world applications.
Tao Wang +5 more
wiley +1 more source
Derivation and travelling wave analysis of phenotype-structured haptotaxis models of cancer invasion
European Journal of Applied MathematicsWe formulate haptotaxis models of cancer invasion wherein the infiltrating cancer cells can occupy a spectrum of states in phenotype space, ranging from ‘fully mesenchymal’ to ‘fully epithelial’. The more mesenchymal cells are those that display stronger
Tommaso Lorenzi +2 more
doaj +1 more source
Approximating critical parameters of branching random walks [PDF]
J.Appl.Probab., 46 (2009), 463-478, 2007 Given a branching random walk on a graph, we consider two kinds of truncations: by inhibiting the reproduction outside a subset of vertices and by allowing at most $m$ particles per site. We investigate the convergence of weak and strong critical parameters of these truncated branching random walks to the analogous parameters of the original branching ...
arxiv
Non-intersection of transient branching random walks [PDF]
Probability Theory and Related Fields, 2020 AbstractLet G be a Cayley graph of a nonamenable group with spectral radius $$\rho < 1$$ ρ < 1 . It is known that branching random walk on G with offspring distribution $$\mu $$ μ is transient, i.e., visits the origin at most finitely often almost surely, if and only if the expected number of offspring $${\overline{\mu }}$$ μ ¯ satisfies $$\
openaire +5 more sources
Advanced Materials, EarlyView.Protein can undergo liquid–liquid phase separation and liquid‐to‐solid transition to form liquid condensates and solid aggregates. These phase transitions can be influenced by post‐translational modifications, mutations, and various environmental factors.
Tianchen Li +3 more
wiley +1 more source
Electrons energy distribution in helium plasma, generated by fission fragments
Physical Sciences and Technology, 2015 The problem of ionization and excitation pair prices in any gas medium can be solved by modeling the process of exchanging energy of the primary electrons with neutrals by Monte Carlo technique.
S. Kunakov, E. Son, Zh. Bolatov
doaj
Connectivity properties of Branching Interlacements [PDF]
arXiv, 2016 We consider connectivity properties of the Branching Interlacements model in $\mathbb{Z}^d,~d\ge5$, recently introduced by Angel, R\'ath and Zhu in 2016. Using stochastic dimension techniques we show that every two vertices visited by the branching interlacements are connected via at most $\lceil d/4\rceil$ conditioned critical branching random walks ...
arxiv