Results 61 to 70 of about 102,837 (286)

Free Stein kernels and an improvement of the free logarithmic Sobolev inequality

, 2016
We introduce a free version of the Stein kernel, relative to a semicircular law. We use it to obtain a free counterpart of the HSI inequality of Ledoux, Peccatti and Nourdin, which is an improvement of the free logarithmic Sobolev inequality of Biane and
Fathi, Max, Nelson, Brent
core   +1 more source

Integrals of weighted maximal logarithmic kernels on bounded Vilenkin groups [PDF]

Periodica Mathematica Hungarica, 2012
Let \(\{m_k\}_{k=0}^\infty\) be a sequence of natural numbers that are greater than \(1\), let \(M_0=1\), \(M_{k+1}=M_km_k\), \(k\geq 1\), and let \(\mathbb Z_{m_k}\) be the \(m_k\)-th cyclic group with discrete topology and measure \(\mu(x)=1/m_k\) for all \(x\in \mathbb Z_{m_k}\). Then \(G_m:=\prod^\infty_{k=0} \mathbb Z_{m_k}\) is a compact Vilenkin
Mező, István, Nagy, Károly
openaire   +2 more sources

Allosteric DNAzyme‐Enabled Sensitive and Multiplex Detection of Biomarkers for Rapid Diagnosis of Urinary Tract Infections

Advanced Science, EarlyView.
A catalytic allosteric DNAzyme assay (SMART) is developed by engineering DNAzyme into a unimolecular biosensor, enabling highly sensitive and multiplex detection of small molecules and nucleic acids. SMART enables extraction‐free, one‐pot, one‐step, isothermal, and cost‐effective detection of biological markers, achieving >95% accuracy for rapid ...
Yanzhe Shen, Chenzhi Shi, Xiaowei Ma, Pengfei Hou, Haomin Zhang, Juanxiu Qin, Li Pan, Guilin Li, Lifei Gao, Qian Ma, Donglei Yang, Min Li, Pengfei Wang   +12 more
wiley   +1 more source

Graviton 1-loop partition function for 3-dimensional massive gravity

, 2010
The graviton 1-loop partition function in Euclidean topologically massive gravity (TMG) is calculated using heat kernel techniques. The partition function does not factorize holomorphically, and at the chiral point it has the structure expected from a ...
A Maloney, A Maloney, AA Bytsenko, D Grumiller, D Grumiller, D Grumiller, Daniel Grumiller, DDK Chow, DDK Chow, Dmitri Vassilevich, DV Vassilevich, DV Vassilevich, E Elizalde, E Mottola, EA Bergshoeff, EA Bergshoeff, GW Gibbons, JR David, K Skenderis, M Bañados, M Flohr, Matthias R. Gaberdiel, MR Gaberdiel, MR Gaberdiel, MR Gaberdiel, R Camporesi, R Camporesi, RB Mann, S Carlip, S Carlip, S Deser, S Deser, S Ertl, S Giombi, V Gurarie, W Li   +35 more
core   +1 more source

Logarithmic convexity of fixed points of stochastic kernel operators [PDF]

Positivity, 2018
In this article we prove results on logaritmic convexity of fixed points of stochastic kernel operators. These results are expected to play a key role in the economic application to strategic market games.
openaire   +2 more sources

Short time behavior of logarithmic derivatives of the heat kernel [PDF]

Asian Journal of Mathematics, 1997
Consider Varadhan's formula, that is (1) \(\lim_{T\downarrow 0}T\log p_T(x,y)=- \frac{\text{dist} (x,y)^2}{2}\) uniformly in \((x,y)\in M\times M\), where \(M\) is a compact connected Riemannian manifold, and \(P_t(x,y)\) is the fundamental solution to Cauchy's initial value problem for the heat equation \(\frac{\partial u}{\partial t}= \frac 12 ...
Stroock, Daniel W., Turetsky, James
openaire   +1 more source

Prediction of Structural Stability of Layered Oxide Cathode Materials: Combination of Machine Learning and Ab Initio Thermodynamics

Advanced Energy Materials, EarlyView.
In this work, we developed a phase‐stability predictor by combining machine learning and ab initio thermodynamics approaches, and identified the key factors determining the favorable phase for a given composition. Specifically, a lower TM ionic potential, higher Na content, and higher mixing entropy favor the O3 phase.
Liang‐Ting Wu, Milica Zdravković, Dijana Milosavljević, Konstantin Köster, Olivier Guillon, Jyh‐Chiang Jiang, Payam Kaghazchi   +6 more
wiley   +1 more source

Toeplitz matrix and product Nystrom methods for solving the singular integral equation

Le Matematiche, 2002
The Toeplitz matrix and the product Nystrom methods are applied to an integral equation of the second kind. We consider two cases: logarithmic kernel and Hilbert kernel.
M. A. Abdou, Khamis J. Mohamed, A. S. Ismal   +2 more
doaj  

Six-dimensional one-loop divergences in quantum gravity from the N $$ \mathcal{N} $$ = 4 spinning particle

Journal of High Energy Physics, 2023
In this work, we investigate the computation of the counterterms necessary for the renormalization of the one-loop effective action of quantum gravity using both the worldline formalism and the heat kernel method.
Fiorenzo Bastianelli, Francesco Comberiati, Filippo Fecit, Fabio Ori   +3 more
doaj   +1 more source

Asymptotic behavior of Bergman kernels with logarithmic weight

Journal of Mathematical Analysis and Applications, 2012
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openaire   +1 more source