Results 101 to 110 of about 33,013 (283)
Fractional Laplacian with Supercritical Killings
Communications in Mathematical PhysicsIn this paper, we study Feynman-Kac semigroups of symmetric $\alpha$-stable processes with supercritical killing potentials belonging to a large class of functions containing functions of the form $b|x|^{-\beta}$, where $b>0$ and $\beta>\alpha$. We obtain two-sided estimates on the densities $p(t, x, y)$ of these semigroups for all $t>0$, along with ...
Soobin Cho, Renming Song
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Fractional Laplacian in conformal geometry
Advances in Mathematics, 2011 In this note, we study the connection between the fractional Laplacian operator that appeared in the recent work of Caffarelli-Silvestre and a class of conformally covariant operators in conformal geometry.
González Nogueras, María del Mar +1 more
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Methods in Ecology and Evolution, EarlyView.Abstract Quantifying the structure and dynamics of species interactions in ecological communities is fundamental to studying ecology and evolution. While there are numerous approaches to analysing ecological networks, there is not yet an approach that can (1) quantify dissimilarity in the global structure of ecological networks that range from ...
Kai M. Hung +4 more
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Nontrivial Solution for the Fractional p-Laplacian Equations via Perturbation Methods
Advances in Mathematical Physics, 2017 We study the existence of nontrivial solution of the following equation without compactness: (-Δ)pαu+up-2u=f(x,u), x∈RN, where N,p≥2, α∈(0,1), (-Δ)pα is the fractional p-Laplacian, and the subcritical p-superlinear term f∈C(RN×R) is 1-periodic in xi ...
Huxiao Luo, Shengjun Li, Xianhua Tang
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, 2014 The 1D discrete fractional Laplacian operator on a cyclically closed (periodic) linear chain with finitenumber $N$ of identical particles is introduced. We suggest a "fractional elastic harmonic potential", and obtain the $N$-periodic fractionalLaplacian
Collet, Bernard +3 more
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An inverse problem for fractional connection Laplacians [PDF]
, 2022 Chun-Kai Kevin Chien
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A complex network perspective on brain disease
Biological Reviews, EarlyView.ABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
David Papo, Javier M. Buldú
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Cryptocurrency Bubbles and Costly Mining
International Economic Review, EarlyView.ABSTRACT This paper develops a model of a cryptocurrency by incorporating mining into the otherwise standard search‐theoretic monetary framework. As usual, multiple equilibria exist. To obtain a sharp prediction on whether a cryptocurrency' s value will last in the future, I propose a notion of equilibrium refinement based on the feature that mining ...
Kohei Iwasaki
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On the Fourier transform of measures in Besov spaces
Bulletin of the London Mathematical Society, EarlyView.Abstract We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of the negative exponent: ∥Iαμ̂∥Lp,∞⩽C∥μ∥Mb12supt>0td−β2∥pt*μ∥∞12,$$\begin{align*} \Vert \widehat{I_{\alpha }\mu }\Vert _{L^{p, \infty }} \leqslant C \Vert \mu \Vert _{M_b}^{\frac{1}{2}}{\left(\sup _{t ...
Riju Basak +2 more
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A Modular Approach to Asymmetric Mg(I) Complexes Using a Unique Cyclopentadienyl Mg(I) Complex
Angewandte Chemie, Volume 137, Issue 50, December 8, 2025.Like changing the tire of a car: The synthesis of a unique MgI complex with a Cp* ligand enabled facile ligand exchange by salt metathesis, giving access to a first aryloxide‐stabilized MgI complex. This concept paves the way for the syntheses of a large variety of asymmetric MgI dimers in which one of the MgI centres is stabilized by a non‐nitrogen ...
Hannah Stecher +6 more
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