Results 11 to 20 of about 23,701 (249)
Journal of Differential Geometry, 2021 Parabolic geometric flows are smoothing for short time however, over long time, singularities are typically unavoidable, can be very nasty and may be impossible to classify. The idea of [CM6] and here is that, by bringing in the dynamical properties of the flow, we obtain also smoothing for large time for generic initial conditions. When combined with [
Colding, Tobias Holck +1 more
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Physical Review E, 2020 to be published in Physical Review ...
Sakaguchi, Hidetsugu, Malomed, Boris A.
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Singular Continuous Spectrum for Singular Potentials [PDF]
Communications in Mathematical Physics, 2017 We prove that Schr dinger operators with meromorphic potentials $(H_{ , }u)_n=u_{n+1}+u_{n-1}+ \frac{g( +n )}{f( +n )} u_n$ have purely singular continuous spectrum on the set $\{E: L(E)
Svetlana Jitomirskaya, Fan Yang
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Physical Review E, 2001 We consider the statistical distribution of zeros of random meromorphic functions whose poles are independent random variables. It is demonstrated that correlation functions of these zeros can be computed analytically and explicit calculations are performed for the 2-point correlation function. This problem naturally appears in e.g.
Bogomolny, E., Gerland, U., Schmit, C.
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Physical Review D, 2023 Two spatial regions $B$ and $R$ are hyperentangled if the generalized entropy satisfies $S_{\text{gen}}^{B\cup R}
Raphael Bousso, Arvin Shahbazi-Moghaddam
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Physical Review D, 2015 We prove that a homogeneous and isotropic universe containing a scalar field with a power-law potential, $V( )=A ^{n}$, with $00$ always develops a finite-time singularity at which the Hubble rate and its first derivative are finite, but its second derivative diverges.
Barrow, John D, Graham, Alexander AH
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On the Generalized Curvature [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2006 By using methods of nonstandard analysis given by Robinson, A., and axiomatized by Nelson, E., we try in this paper to establish the generalized curvature of a plane curve at regular points and at points infinitely close to a singular point.
Tahir Ismail, Ibrahim Hamad
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Energy Singularity: From Scarcity to Abundance
Foresight and STI Governance, 2013 The ability to extract and use energy played a decisive role in the development of human civilization. Energy consumption is growing exponentially, thus the only way to avoid future energy crisis is to explore renewable, more abundant sources.
José Luis Cordeiro
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Strength of the naked singularity in critical collapse
European Physical Journal C: Particles and Fields, 2020 The critical collapse of a scalar field is a threshold solution of black hole formation, in which a naked singularity arises. We study here the curvature strength of this singularity using a numerical ansatz.
Jun-Qi Guo +4 more
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Universe, 2023 It is advisable to avoid and, even better, demystify such grandiose terms as “infinity” or “singularity” in the description of the cosmos. Its proliferation does not positively contribute to the understanding of key concepts that are essential for an ...
Emilio Elizalde
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