Results 61 to 70 of about 468,745 (232)
Uniform Harbourne–Huneke bounds via flat extensions [PDF]
Journal of Algebra, 2018 Over an arbitrary field $\mathbb{F}$, Harbourne conjectured that $$I^{(N (r-1)+1)} \subseteq I^r$$ for all $r>0$ and all homogeneous ideals $I$ in $S = \mathbb{F} [\mathbb{P}^N] = \mathbb{F} [x_0, \ldots, x_N]$. The conjecture has been disproven for select values of $N \ge 2$: first by Dumnicki, Szemberg, and Tutaj-Gasińska in characteristic zero ...
openaire +3 more sources
Electrical properties of random checkerboards at finite scales
AIP Advances, 2015 Under investigation is the scale dependent electrical conductivity (and resistivity) of two-phase random checkerboards at arbitrary volume fractions and phase contrasts.
Bharath V. Raghavan +2 more
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Uniform bounds on growth in o-minimal structures
, 2010 We prove that a function definable with parameters in an o-minimal structure is bounded away from infinity as its argument goes to infinity by a function definable without parameters, and that this new function can be chosen independently of the ...
Friedman +4 more
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Uniform Concentration Bounds toward a Unified Framework for Robust Clustering [PDF]
, 2021 Debolina Paul +3 more
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, 2011 The Jensen's inequality plays a crucial role in the analysis of time-delay and sampled-data systems. Its conservatism is studied through the use of the Gr\"{u}ss Inequality.
Briat, Corentin
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Improved uniform error bounds of exponential wave integrator method for long-time dynamics of the space fractional Klein-Gordon equation with weak nonlinearity [PDF]
, 2023 Junqing Jia, Xiaoyun Jiang
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Uniform bounds under increment conditions [PDF]
Transactions of the American Mathematical Society, 2005 We apply a majorizing measure theorem of Talagrand to obtain uniform bounds for sums of random variables satisfying increment conditions of the type considered in Gál-Koksma Theorems. We give some applications.
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Tight Bounds on the Convergence of Noisy Random Circuits to the Uniform Distribution
PRX Quantum, 2022 We study the properties of output distributions of noisy random circuits. We obtain upper and lower bounds on the expected distance of the output distribution from the “useless” uniform distribution.
Abhinav Deshpande +5 more
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Analytic properties of spherical cusp forms on GL(n)
, 2020 Let $\phi$ be an $L^2$-normalized spherical vector in an everywhere unramified cuspidal automorphic representation of $\mathrm{PGL}_n$ over $\mathbb{Q}$ with Laplace eigenvalue $\lambda_{\phi}$.
Blomer, Valentin +2 more
core
Relations Between Conditional Shannon Entropy and Expectation of $\ell_{\alpha}$-Norm
, 2016 The paper examines relationships between the conditional Shannon entropy and the expectation of $\ell_{\alpha}$-norm for joint probability distributions.
Iwata, Ken-ichi, Sakai, Yuta
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