Results 51 to 60 of about 202,833 (274)

Branching Random Walks on Free Products of Groups

open access: yes, 2011
We study certain phase transitions of branching random walks (BRW) on Cayley graphs of free products. The aim of this paper is to compare the size and structural properties of the trace, i.e., the subgraph that consists of all edges and vertices that ...
Candellero, Elisabetta   +2 more
core   +3 more sources

Oxidized Carbon Nanoparticles Enhance Cellular Energetics With Application to Injured Brain

open access: yesAdvanced Healthcare Materials, Volume 14, Issue 8, March 25, 2025.
Oxidized carbon nanozymes (OCNs) that catalyze the dismutation of superoxide radical and oxidation of reduced nicotinamide adenine dinucleotide (NADH) to NAD+ promote glycolytic and mitochondrial energy metabolism under impaired conditions observed in traumatic brain injury with hemorrhage.
Karthik Mouli   +11 more
wiley   +1 more source

Limit theorems for the minimal position of a branching random walk in random environment [PDF]

open access: yesarXiv, 2018
We consider a branching system of random walk in random environment (in location) in $\mathbb{N}$. We will give the exact limit value of $\frac{M_{n}}{n}$, where $M_{n}$ denotes the minimal position of branching random walk at time $n$. A key step in the proof is to transfer our branching random walks in random environment (in location) to branching ...
arxiv  

Mesoscopic description of random walks on combs [PDF]

open access: yes, 2015
Combs are a simple caricature of various types of natural branched structures, which belong to the category of loopless graphs and consist of a backbone and branches. We study continuous time random walks on combs and present a generic method to obtain their transport properties.
arxiv   +1 more source

On the boundary at infinity for branching random walk [PDF]

open access: yesarXiv, 2022
We prove that supercritical branching random walk on a transient graph converges almost surely under rescaling to a random measure on the Martin boundary of the graph. Several open problems and conjectures about this limiting measure are presented.
arxiv  

Absorbing Phase Transitions of Branching-Annihilating Random Walks

open access: yes, 2002
The phase transitions to absorbing states of the branching-annihilating reaction-diffusion processes mA --> (m+k)A, nA --> (n-l)A are studied systematically in one space dimension within a new family of models.
G. Ódor   +7 more
core   +1 more source

Hollow‐Structured Nanorobot with Excellent Magnetic Propulsion for Catalytic Pollutant Degradation, Anti‐Bacterial and Biofilm Removal

open access: yesAdvanced Healthcare Materials, EarlyView.
A hollow‐structured Fe3O4@AgAu@PDA‐ZnPc nanosphere has been developed, exhibiting controllable catalytic activity and “photothermal‐photodynamic‐Ag+” coupling antibacterial characteristics. When subjected to a rotating magnetic field, these performances are uniquely enhanced by magnetic propulsion, allowing the nanosphere to function as a magnetic ...
Jing Wang   +7 more
wiley   +1 more source

On the critical branching random walk I: Branching capacity and visiting probability [PDF]

open access: yesarXiv, 2016
We extend the theory of discrete capacity to critical branching random walk. We introduce branching capacity for any finite subset of $\Z^d, d\geq5$. Analogous to the regular discrete capacity, branching capacity is closely related to the asymptotics of the probability of visiting a fixed finite set by a critical branching random walk starting from a ...
arxiv  

One‐Shot Remote Integration of Macromolecular Synaptic Elements on a Chip for Ultrathin Flexible Neural Network System

open access: yesAdvanced Materials, EarlyView.
A novel one‐shot integration electropolymerization (OSIEP) method is developed as a breakthrough on the intricate photolithographic steps, enabling to compress all processes from synthesis to channel integration in one‐shot manufacturing. The specially designed dual bipolar electrodes provide the targeted depositions of poly(3,4‐ethylenedioxythiophene)
Jiyun Lee   +9 more
wiley   +1 more source

Survival Analysis of Particle Populations in Branching Random Walks [PDF]

open access: yesarXiv, 2018
It is a common practice to describe branching random walks in terms of birth, death and walk of particles, which makes it easier to use them in different applications. The main results obtained for the models of symmetric continuous-time heavy-tailed branching random walks on a multidimensional lattice.
arxiv  

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