A Simple Path to Biggins' Martingale Convergence for Branching Random Walk [PDF]
Classical and Modern Branching Processes, K. Athreya and P. Jagers
(editors), Springer, New York, 1997, pp. 217--222, 1998 We give a simple non-analytic proof of Biggins' theorem on martingale convergence for branching random walks.
arxiv
Harnessing Photo‐Energy Conversion in Nanomaterials for Precision Theranostics
Advanced Materials, EarlyView.Harnessing photo‐energy conversion in nanomaterials enables precision theranostics through light‐driven mechanisms such as photoluminescence, photothermal, photoelectric, photoacoustic, photo‐triggered surface‐enhanced Raman scattering (SERS), and photodynamic processes. This review explores six fundamental principles of photo‐energy conversion, recent
Jingyu Shi +4 more
wiley +1 more source
Toward Zero‐Excess Alkali Metal Batteries: Bridging Experimental and Computational Insights
Advanced Materials, EarlyView.This review explores zero‐excess alkali metal batteries, highlighting anode–electrolyte interfaces, metal nucleation, dendrite growth, and SEI formation while comparing Li, Na, and K metals. It critically examines electrolyte and separator roles, emphasizing substrate design, electrolyte modifications, interfacial engineering, and solid‐state ...
Pan He +6 more
wiley +1 more source
Critical exponents for branching annihilating random walks with an even number of offspring [PDF]
, 1994 Iwan Jensen
openalex +1 more source
Ionic Liquid‐Reinforced Multifunctional Hydrogel for the Treatment of Enterocutaneous Fistula
Advanced Materials, EarlyView.ECFGel is a multifunctional hydrogel engineered to treat infection‐associated ECFs. ECFGel demonstrates outstanding mechanical and biological properties, facilitating easy application, reliable occlusion, and sterilization, while promoting effective healing of infected fistula tracts.
Jinjoo Kim +7 more
wiley +1 more source
Enumerations of trees and forests related to branching processes and random walks [PDF]
, 1998 James C. Pitman
openalex +1 more source
Particle systems with locally dependent branching : long-time behaviour, genealogy and critical parameters [PDF]
, 2003 We consider the long-time behaviour of spatially extended random populations with locally dependent branching. We treat two classes of models: 1) Systems of continuous-time random walks on the d-dimensional grid with state dependent branching rate. While
Birkner, Matthias
core
Differentiability of multiplicative processes related to branching random walks [PDF]
, 2000 Jean-Pierre Barral
openalex +1 more source
Tuning the Morphological Properties of Granular Hydrogels to Control Lymphatic Capillary Formation
Advanced Materials Interfaces, EarlyView.Tuning the morphological properties of granular hydrogels is essential to generate robust lymphatic capillary networks that express key lymphatic gene and protein markers. The study demonstrates that 3D in vitro lymphatic tube formation is controlled not by the mechanical properties of the gel, but by the pore size and topology (periodicity) of the gel
Daniel Montes +7 more
wiley +1 more source
A Note on Branching Random Walks on Finite Sets [PDF]
, 2005 Thomas Mountford, Rinaldo B. Schinazi
openalex +2 more sources