Results 41 to 50 of about 108,591 (231)

Nonequilibrium dynamics of urn models

, 2001
Dynamical urn models, such as the Ehrenfest model, have played an important role in the early days of statistical mechanics. Dynamical many-urn models generalize the former models in two respects: the number of urns is macroscopic, and thermal effects ...
Bouchaud J P, Bray A J, C Godrèche, Cugliandolo L F, Cugliandolo L F, Drouffe J M, Ehrenfest P, Franz S, Franz S, Franz S, Godrèche C, Godrèche C, Godrèche C, Godrèche C, Godrèche C, Godrèche C, Godrèche C, Hess F G, J M Luck, Janssen H K, Kac M, Kac M, Kohlrausch F, Lipowski A, Murthy K P N, Vincent E   +25 more
core   +2 more sources

A Gaussian upper bound for martingale small-ball probabilities

The Annals of Probability, 2016
Consider a discrete-time martingale $\{X_t\}$ taking values in a Hilbert space $\mathcal H$. We show that if for some $L \geq 1$, the bounds $\mathbb{E} \left[\|X_{t+1}-X_t\|_{\mathcal H}^2 \mid X_t\right]=1$ and $\|X_{t+1}-X_t\|_{\mathcal H} \leq L$ are satisfied for all times $t \geq 0$, then there is a constant $c = c(L)$ such that for $1 \leq R ...
Lee, James R., Peres, Yuval, Smart, Charles K.   +2 more
openaire   +3 more sources

Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics

Advanced Materials, EarlyView.
The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades, Pedro Hidalgo, David Maestre, Ruth Martínez‐Casado, Emilio Nogales, Beatriz Rodríguez, G. Cristian Vásquez, Bianchi Méndez   +7 more
wiley   +1 more source

2D Nanomaterials Toward Function‐Ready Superlubricity in Advanced Microsystems

Advanced Materials, EarlyView.
A unified framework links structural and transformation superlubricity with microsystem functions and deployment requirements. Mechanisms, device architectures, integration strategies, AI‐guided discovery, and benchmarking protocols are connected to define function‐ready superlubricity in advanced microsystems.
Yushan Geng, Jun Yang, Yong Yang
wiley   +1 more source

A Multiresolution Stochastic Process Model for Predicting Basketball Possession Outcomes

, 2016
Basketball games evolve continuously in space and time as players constantly interact with their teammates, the opposing team, and the ball. However, current analyses of basketball outcomes rely on discretized summaries of the game that reduce such ...
Bornn, Luke, Cervone, Daniel, D'Amour, Alex, Goldsberry, Kirk   +3 more
core   +2 more sources

Superionic Amorphous Li2ZrCl6 and Li2HfCl6

Advanced Materials, EarlyView.
Amorphous Li2HfCl6 and L2ZrCl6 are shown to be promising solid‐state electrolytes with predicted ionic conductivities >20 mS·cm−1. Molecular dynamics simulations with machine‐learning force fields reveal that anion vibrations and flexible MCl6 octahedra soften the Li coordination cage and enhance mobility. Correlation between Li‐ion diffusivity and the
Shukai Yao, De‐en Jiang
wiley   +1 more source

When Poor Exciton Dissociation Limits Photocurrents in Organic Solar Cells: Why Low Offset Non‐Fullerene Acceptor Blends Can't Be Efficient

Advanced Materials, EarlyView.
The energetic offset between the donor and the acceptor components in organic photoactive layers is central to the tradeoff between photovoltage and photocurrent losses. This Perspective covers the most important issues surrounding this topic in non‐fullerene acceptor blends, from the difficulty of accurately determining state energies and driving ...
Dieter Neher, Manasi Pranav
wiley   +1 more source

$L_2$-Small Deviations for Weighted Stationary Processes

, 2018
We find logarithmic asymptotics of $L_2$-small deviation probabilities for weighted stationary Gaussian processes (both for real and complex-valued) having power-type discrete or continuous spectrum.
Lifshits, Mikhail, Nazarov, Alexander
core   +1 more source

Advanced Separators for Liquid and Quasi‐Solid Lithium Rechargeable Batteries: Design and Development

Advanced Materials, EarlyView.
This review traces the evolution of lithium‐ion battery separators from passive barriers to multifunctional components central to cell safety and performance. Polymer‐ceramic hybrids, nanofiber architectures, and bio‐derived membranes deliver ionic conductivities above 3 mS cm−1, thermal stability beyond 200 °C, and effective suppression of lithium ...
Karthik Vishweswariah, Ningaraju Gejjiganahalli Ningappa, Anil Kumar M. R., Jeremy I. G. Dawkins, Thiago M. G. Selva, Karim Zaghib   +5 more
wiley   +1 more source

Small ball probabilities and large deviations for grey Brownian motion

Electronic Communications in Probability, 2023
We show that the uniform norm of generalized grey Brownian motion over the unit interval has an analytic density, excluding the special case of fractional Brownian motion. Our main result is an asymptotic expansion for the small ball probability of generalized grey Brownian motion, which extends to other norms on path space.
openaire   +2 more sources