Results 101 to 110 of about 5,030,646 (292)

Ergodic SDEs on submanifolds and related numerical sampling schemes

open access: yes, 2019
In many applications, it is often necessary to sample the mean value of certain quantity with respect to a probability measure {\mu} on the level set of a smooth function $\xi: \mathbb{R}^d\rightarrow \mathbb{R}^k$, $1\le k < d$.
Zhang, Wei
core   +1 more source

A smoother ergodic average

open access: yesIllinois Journal of Mathematics, 2000
Let \(\{T_t\}_{t\in\mathbb{R}}\) be a measure preserving flow on a probability space \((X,\beta, m)\). Let \((\varepsilon_k)\) be a sequence in \((0,1)\), and let \(\phi\) be a positive integrable function on \(\mathbb{R}\) satisfying (i) \(\int\phi(x) dx= 1\), and (ii) the function \(\Phi(x)= \sup_{|y|\geq|x|}\phi(y)\) is integrable.
openaire   +3 more sources

Wave Tracing: Generalizing The Path Integral To Wave Optics

open access: yesComputer Graphics Forum, EarlyView.
Abstract Modeling the wave nature of light and the propagation and diffraction of electromagnetic fields is crucial for the accurate simulation of many phenomena, yet wave simulations are significantly more computationally complex than classical ray‐based models.
Shlomi Steinberg, Matt Pharr
wiley   +1 more source

Making sense of snapshot data: ergodic principle for clonal cell populations

open access: yesJournal of the Royal Society Interface, 2017
Population growth is often ignored when quantifying gene expression levels across clonal cell populations. We develop a framework for obtaining the molecule number distributions in an exponentially growing cell population taking into account its age ...
Philipp Thomas
semanticscholar   +1 more source

A Comparative Review of Specification Tests for Diffusion Models

open access: yesInternational Statistical Review, EarlyView.
Summary Diffusion models play an essential role in modelling continuous‐time stochastic processes in the financial field. Therefore, several proposals have been developed in the last decades to test the specification of stochastic differential equations.
A. López‐Pérez   +3 more
wiley   +1 more source

Convergence of weighted ergodic averages

open access: yes, 2020
Let $(X, \mathcal{A}, )$ be a probability space and let $T$ be a contraction on $L^2( )$. We provide suitable conditions over sequences $(w_k)$, $(u_k)$ and $(A_k)$ in such a way that the weighted ergodic limit $\lim\limits_{N\rightarrow\infty}\frac{1}{A_N}\sum_{k=0}^{N-1} w_k T^{u_k}(f)=0$ $ $-a.e. for any function $f$ in $L^2( )$.
Darwiche, Ahmad, Schneider, Dominique
openaire   +2 more sources

On Integral Priors for Multiple Comparison in Bayesian Model Selection

open access: yesInternational Statistical Review, EarlyView.
Summary Noninformative priors constructed for estimation purposes are usually not appropriate for model selection and testing. The methodology of integral priors was developed to get prior distributions for Bayesian model selection when comparing two models, modifying initial improper reference priors. We propose a generalisation of this methodology to
Diego Salmerón   +2 more
wiley   +1 more source

ERGODIC AVERAGES FOR INDEPENDENT POLYNOMIALS AND APPLICATIONS [PDF]

open access: yesJournal of the London Mathematical Society, 2006
12 ...
Frantzikinakis, Nikos, Kra, Bryna
openaire   +2 more sources

Does any fish scale of a fish have the same number of marks? A case study for two Mugilidae species

open access: yesJournal of Fish Biology, EarlyView.
Abstract This study evaluates the difference in growth marks in scales from nine body areas of two Mugilidae species from the Gulf of Mexico: Mugil curema and Mugil cephalus. It addresses whether the different body areas show more (or fewer) marks, and which area(s) would be more useful in fish biology studies relying on mark analysis.
Ebenecer Guerra   +6 more
wiley   +1 more source

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