Results 21 to 30 of about 3,295 (140)

Fixing Einstein's equations [PDF]

, 1999
Einstein's equations for general relativity, when viewed as a dynamical system for evolving initial data, have a serious flaw: they cannot be proven to be well-posed (except in special coordinates).
Anderson, Arlen, York, Jr, James W.
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Hamiltonian Time Evolution for General Relativity [PDF]

, 1998
Hamiltonian time evolution in terms of an explicit parameter time is derived for general relativity, even when the constraints are not satisfied, from the Arnowitt-Deser-Misner-Teitelboim-Ashtekar action in which the slicing density $\alpha(x,t)$ is ...
A. Abrahams, A. Abrahams, A. Abrahams, A. Abrahams, A. Anderson, A. Ashtekar, A. Ashtekar, A. Lichnerowicz, Arlen Anderson, C. Teitelboim, C. Teitelboim, C. Teitelboim, C. Teitelboim, H. Friedrich, H. Friedrich, J. W. York, J. W. York, James W. York, N. O'Murchadha, N. O'Murchadha, P. A. M. Dirac, P. A. M. Dirac, R. Arnowitt, S. Frittelli, S. Frittelli, Y. Choquet(Foures)-Bruhat, Y. Choquet-Bruhat, Y. Choquet-Bruhat, Y. Choquet-Bruhat, Y. Choquet-Bruhat, Y. Choquet-Bruhat   +30 more
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Large Outgoing Solutions to Supercritical Wave Equations

, 2017
We prove the existence of global solutions to the energy-supercritical wave equation in R^{3+1} u_{tt}-\Delta u + |u|^N u = 0, u(0) = u_0, u_t(0) = u_1 ...
Beceanu, Marius, Soffer, Avy
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Mathematical general relativity: a sampler [PDF]

, 2010
We provide an introduction to selected recent advances in the mathematical understanding of Einstein's theory of gravitation.Comment: Some updates. A shortened version, to appear in the Bulletin of the AMS, is available online at http://www.ams.org ...
Chruściel, Piotr T., Galloway, Gregory J., Pollack, Daniel   +2 more
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On dynamic spectral risk measures, a limit theorem and optimal portfolio allocation

, 2017
In this paper we propose the notion of continuous-time dynamic spectral risk-measure (DSR). Adopting a Poisson random measure setting, we define this class of dynamic coherent risk-measures in terms of certain backward stochastic differential equations ...
Madan, Dilip, Pistorius, Martijn, Stadje, Mitja   +2 more
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Nonlinear quantum gravity on the constant mean curvature foliation

, 2004
A new approach to quantum gravity is presented based on a nonlinear quantization scheme for canonical field theories with an implicitly defined Hamiltonian.
Arnowitt R, Carlip S, Charles H-T Wang, Choquet-Bruhat Y, Choquet-Bruhat Y, DeWitt B S, Dirac P A M, Dirac P A M, Dirac P A M, Dirac P A M, Fischer A E, Fischer A E, Fischer A E, Fischer A E, Gotay M J, Gotay M J, Hojman S A, Isenberg J A, Kibble T W B, Kucha? K V, Kucha? K V, Kucha? K V, Kucha? K V, Kucha? K V, Kucha? K V G Kunstatter D E Vicent J G Williams, Laloë F, Lichnerowicz A, MacCallum M A H, Marsden J E, Marsden J E, Mielnik B, Pearle P, Pons J M, Pons J M, Ryan M P, Schoen R, Seiler W M, Stephani H, Tomonaga S, Torre C G, Torre C G, Vilenkin A, Wang C H-T, Wang C H-T, Wheeler J A, Yamabe H   +45 more
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Distribution functions of linear combinations of lattice polynomials from the uniform distribution [PDF]

, 2007
We give the distribution functions, the expected values, and the moments of linear combinations of lattice polynomials from the uniform distribution. Linear combinations of lattice polynomials, which include weighted sums, linear combinations of order ...
Kojadinovic, Ivan, Marichal, Jean-Luc
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Cost‐Optimal Building Energy System Scheduling Integrating Solar Irradiance Forecasting via LSTM‐Attention‐TCN Model

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT Building energy systems integrating multiple energy sources can effectively reduce energy consumption and facilitate renewable energy integration. Integrating electrical energy storage (EES) into these systems helps accommodate the increasing share of renewables; however, the stochastic and intermittent nature of solar power still poses ...
Zhengtian Wu, Jianyu Li, Yang Gao, Chuangyin Dang, Chao Tang, Yuansheng Li, Xinmiao Wang, Jinpeng Chen, Hongbo Gao, Xinyin Xu   +9 more
wiley   +1 more source

Hausdorff Outer Measures and the Representation of Coherent Upper Conditional Previsions by the Countably Additive Möbius Transform

Fractal and Fractional
This paper explores coherent upper conditional previsions, a class of nonlinear functionals that generalize expectations while preserving consistency properties.
Serena Doria
doaj   +1 more source

The Cauchy Problem for the Einstein Equations [PDF]

, 2000
Various aspects of the Cauchy problem for the Einstein equations are surveyed, with the emphasis on local solutions of the evolution equations. Particular attention is payed to giving a clear explanation of conceptual issues which arise in this context ...
A. Abrahams, A. Anderson, A. Besse, A. D. Rendall, A. D. Rendall, A. D. Rendall, A. E. Fischer, A. E. Fischer, A. Lichnerowicz, A. Lichnerowicz, A. Majda, B. Y, C. Bona, C. Lanczos, D. Bancel, D. Bao, D. Bao, D. Christodoulou, E. Witten, F. Treves, G. Pichon, H. Elst, H. Friedrich, H. Friedrich, H. Friedrich, H. Friedrich, H. Friedrich, H. Friedrich, H. Friedrich, H.-O. Kreiss, J. Binney, J. D. Barrow, J. Dieudonné, J. Dieudonné, J. Frauendiener, J. Hadamard, J. Isenberg, J. Isenberg, J. Kánnár, J. L. Kazdan, J. Rauch, J. Stewart, L. Andersson, L. Andersson, L. C. Evans, L. Hörmander, M. E. Taylor, M. E. Taylor, M. E. Taylor, M. S. Iriondo, M. Shibata, O. Gués, P. Griffiths, P. Hartman, P. R. Garabedian, P. Secchi, P. Secchi, R. Courant, R. Geroch, R. Palais, R. Penrose, R. S. Hamilton, R. Schoen, S. Alinhac, S. Frittelli, S. Kind, S. Kobayashi, s. L. Shapiro, S. W. Hawking, S. Wu, T. Damour, T. Kato, T. W. Baumgarte, V. S. Varadarajan, W. A. Hiscock, W. Rudin, W. Rudin, Y. Choquet-Bruhat, Y. Choquet-Bruhat, Y. Choquet-Bruhat, Y. Choquet-Bruhat, Y. Choquet-Bruhat, Y. Choquet-Bruhat   +82 more
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