Results 81 to 90 of about 87,335 (264)

Asymptotic Behaviour of a Random Walk Killed on a Finite Set [PDF]

open access: yesPotential Analysis, 2016
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

open access: yesAdvanced Functional Materials, EarlyView.
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

open access: yesSensors, 2019
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

open access: yesAdvanced Functional Materials, EarlyView.
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

open access: yesJournal of Combinatorial Theory, Series A, 1983
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

open access: yesAdvanced Functional Materials, EarlyView.
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

A Variational Random Finite-Set Approach to Highly Robust Active-Sonar Multi-Target Tracking Under Strong Reverberation

open access: yesRemote Sensing
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

Embedded Ferroelectric Nanoclusters Can Drive Polarization Reversal in a Non‐Ferroelectric Polar Film via the Proximity Effect

open access: yesAdvanced Functional Materials, EarlyView.
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

open access: yesStochastic Processes and their Applications, 2017
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

open access: yesAdvanced Functional Materials, EarlyView.
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

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