Results 21 to 30 of about 65 (54)
Ewald's Conjecture and integer points in algebraic and symplectic toric geometry
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract We solve several open problems concerning integer points of reflexive smooth polytopes, also known as monotone polytopes. While the paper belongs to the realm of discrete geometry, the connection with symplectic and algebraic geometry appears naturally since these polytopes have an important role in both areas.
Luis Crespo +2 more
wiley +1 more source
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract In this paper, we investigate the following D1,p$D^{1,p}$‐critical quasi‐linear Hénon equation involving p$p$‐Laplacian −Δpu=|x|αupα∗−1,x∈RN,$$\begin{equation*} -\Delta _p u=|x|^{\alpha }u^{p_\alpha ^*-1}, \qquad x\in \mathbb {R}^N, \end{equation*}$$where N⩾2$N\geqslant 2$, 1
Wei Dai +3 more
wiley +1 more source
Approximation of Discontinuous Functions by Positive Linear Operators. A Probabilistic Approach
Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4184-4197, 30 March 2026.ABSTRACT We obtain approximation results for general positive linear operators satisfying mild conditions, when acting on discontinuous functions and absolutely continuous functions having discontinuous derivatives. The upper bounds, given in terms of a local first modulus of continuity, are best possible, in the sense that we can construct particular ...
J.A. Adell +2 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2135-2160, 15 March 2026.ABSTRACT It is an elementary fact in the scientific literature that the Lipschitz norm of the realization function of a feedforward fully connected rectified linear unit (ReLU) artificial neural network (ANN) can, up to a multiplicative constant, be bounded from above by sums of powers of the norm of the ANN parameter vector.
Arnulf Jentzen, Timo Kröger
wiley +1 more source
Scandinavian Journal of Statistics, Volume 53, Issue 1, Page 364-394, March 2026.ABSTRACT Latent Gaussian models (LGMs) are a subset of Bayesian Hierarchical models where Gaussian priors, conditional on variance parameters, are assigned to all effects in the model. LGMs are employed in many fields for their flexibility and computational efficiency. However, practitioners find prior elicitation on the variance parameters challenging
Luisa Ferrari, Massimo Ventrucci
wiley +1 more source
Roots of Kostlan polynomials: moments, strong Law of Large Numbers and Central Limit Theorem
, 2019 We study the number of real roots of a Kostlan (or elliptic) random polynomial of degree d in one variable. More generally, we are interested in the distribution of the counting measure of the set of real roots of such a polynomial.
Letendre, Thomas, Ancona, Michele
core
Polynomial and horizontally polynomial functions on Lie groups. [PDF]
Ann Mat Pura Appl, 2022 Antonelli G, Le Donne E.
europepmc +1 more source
Random holomorphic sections associated with asequence of line bundles on compact kähler manıfolds [PDF]
The study of zeros of random polynomials is a fascinating subject due to its numerousconnections within mathematics and physics. In particular, the distribution of thesezeros is crucial for understanding chaotic dynamics and quantum ergodicity, as ...
Bojnik, Afrim
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Asymptotic Performance of Port-Based Teleportation. [PDF]
Commun Math Phys, 2021 Christandl M +5 more
europepmc +1 more source
, 2017 International audienceThere exist two variants of the change of variables formula for multiple integrals very useful in integral geometry.The first one corresponds to smooth, locally bijective functions G from Rd to Rd and the second applies to smooth ...
Berzin, Corinne +2 more
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