Results 81 to 90 of about 87,335 (264)
Asymptotic Behaviour of a Random Walk Killed on a Finite Set [PDF]
We study asymptotic behavior, for large time $n$, of the transition probability of a two-dimensional random walk killed when entering into a non-empty finite subset $A$. We show that it behaves like $4 \tilde u_A(x) \tilde u_{-A}(-y) (\lg n)^{-2} p^n(y- x)$ for large $n$, uniformly in the parabolic regime $|x|\vee |y| =O(\sqrt n)$, where $p^n(y-x)$ is ...
openaire +2 more sources
Structure‐Guided Dynamical Mechanics in Bioinspired Double Twisted Laminated Thin Films
This work explores a dynamic mechanistic study of crack propagation and puncture testing via real‐time monitoring of crack initiation, propagation, and termination through nature‐inspired single and double twisted architectures fabricated from cellulose nanocrystals.
Justin Brackenridge +4 more
wiley +1 more source
Multi-Objective Optimization Based Multi-Bernoulli Sensor Selection for Multi-Target Tracking
This paper presents a novel multi-objective optimization based sensor selection method for multi-target tracking in sensor networks. The multi-target states are modelled as multi-Bernoulli random finite sets and the multi-Bernoulli filter is used to ...
Yun Zhu, Jun Wang, Shuang Liang
doaj +1 more source
Optical Signature of Moiré Superlattices Formed by Twisted SrTiO3 Membranes
We discover optical signatures from bonded interfaces in twisted SrTiO3 moiré superlattices, including low‐frequency Raman vibrational modes and strong second‐harmonic generation, consistent with strong interlayer coupling inferred from cross‐sectional electron microscopy and ab initio calculations. ABSTRACT Moiré superlattices formed at the interfaces
T. A. M. Ragib Shahriar +13 more
wiley +1 more source
Generation of a random partition of a finite set by an urn model
AbstractA random partition of Nn = {1,…,n} may be generated by putting the elements of Nn at random into a stochastic number of cells. This representations is used to prove asymptotic results about the random partition for n → ∞.
openaire +3 more sources
Electrospun Wood‐Derived Biopolymers as Electrodes in Electrochemical Energy Storage Technologies
Electrospinning transforms wood‐derived cellulose and lignin into architecturally defined, binder‐free carbon electrodes with tuneable porosity and functionality. This review shows how fibre design enables decoupled charge and mass transport, enhancing performance across battery systems, while identifying key challenges in spinnability, scalability ...
Michael W. Thielke +3 more
wiley +1 more source
Active sonar tracking of multiple underwater targets is frequently challenged by intense reverberation, which leads to sonar returns that are both non-stationary and non-Gaussian.
Kaiqiang Yang, Xianghao Hou, Yixin Yang
doaj +1 more source
Ferroelectric nanoclusters create local internal fields in a normally non‐switchable polar film because of polarization mismatch at their interfaces. That field opposes polarization in the regions with larger polarization and reinforces polarization in the regions with smaller polarization.
Anna N. Morozovska +5 more
wiley +1 more source
One dimensional random walks killed on a finite set
We study the transition probability, say $p_A^n(x,y)$, of a one-dimensional random walk on the integer lattice killed when entering into a non-empty finite set $A$. The random walk is assumed to be irreducible and have zero mean and a finite variance $σ^2$.
openaire +2 more sources
Interaction‐Driven Assembly Pathways in Heterogeneous Active Microrobotic Systems
Peanut‐ and cube‐shaped light‐powered microrobots exhibit distinct magnetic and photocatalytic responses that determine their heterogeneous self‐assembly. In the dark, magnetic dipole interactions drive colloidal copolymerization with cubes acting as nucleation centers, whereas under light irradiation, phoretic interactions compete with magnetic ...
Domenico Calabrò +5 more
wiley +1 more source

