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    Global Bifurcation from Intervals for the Monge-Ampère Equations and Its Applications by Wenguo Shen

    Published 2018-01-01
    “…We shall establish the global bifurcation results from the trivial solutions axis or from infinity for the Monge-Ampère equations: det(D2u)=λm(x)-uN+m(x)f1(x,-u,-u′,λ)+f2(x,-u,-u′,λ), in B, u(x)=0, on ∂B, where D2u=(∂2u/∂xi∂xj) is the Hessian matrix of u, where B is the unit open ball of RN, m∈C(B¯,[0,+∞)) is a radially symmetric weighted function and m(r):=m(x)≢0 on any subinterval of [0,1], λ is a positive parameter, and the nonlinear term f1,f2∈C(B¯×R+3,R+), but f1 is not necessarily differentiable at the origin and infinity with respect to u, where R+=[0,+∞). …”
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    Probing entanglement dynamics and topological transitions on noisy intermediate-scale quantum computers by Huai-Chun Chang, Hsiu-Chuan Hsu, Yu-Cheng Lin

    Published 2025-01-01
    “…We consider quench protocols in which a trivial initial state evolves dynamically in time under the topological SSH Hamiltonian in the fully dimerized limit (the flat-band limit). …”
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    AIs @ School: the perception of the actors of the learning processes by Carlo Giovannella, Licia Cianfriglia, Antonello Giannelli

    Published 2024-11-01
    “…The purposes for which they are used, with a few ex-ceptions, appear to be fairly trivial and predictable: carrying out searches, generating texts and translations, generating tests and their resolutions and, in rare case, generating images. …”
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    Time, Infrastructure and Knowledge: Rethinking Temporality in the Anthropocene by Vando Borghi, Luigi Pellizzoni, Paolo Savoia

    Published 2025-02-01
    “…Addressing the concept of “non-trivial futures”, he argues that the Anthropocene aligns with and strengthens capitalism’s recursive temporality and secular eschatology, opening space for conservative or reactionary designs. …”
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