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Adaptive Vibrational Coordinates <i>via</i> Symmetry-Aware Normalizing Flows. [PDF]
Vogt E, Fernández Corral Á, Saleh Y.
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Xtricorder: a likelihood-enhanced self-rotation function and application to a machine learning-enhanced Matthews prediction of asymmetric unit copy number. [PDF]
McCoy AJ, Read RJ.
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Intrinsic Quantization of Linear Hamiltonian Systems. [PDF]
Accardi L, Pandiscia C.
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Symmetries II: Discrete Symmetries
2011This is probably the most technical chapter of this book. Discrete symmetries play a fundamental role in modern particle physics and cosmology. We have delayed their study until now to be able to develop all the tools required to explore some or their fascinating consequences.
Luis Álvarez-Gaumé +1 more
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Continuous symmetries of discrete equations
Physics Letters A, 1991Abstract Lie group techniques for solving differential equations are extended to differential-difference equations. As an application, it is shown that the two-dimensional Toda lattice has an infinite dimensional symmetry group with a Kac-Moody-Virasoro Lie algebra.
LEVI, Decio, WINTERNITZ P.
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ON TESTS OF SYMMETRY FOR DISCRETE POPULATIONS
Australian Journal of Statistics, 1974SummaryIn this paper problems of tests of symmetry about the origin with discrete samples are considered. Recently Vorličková established the asymptotic normality of linear rank statistics and signed rank statistics in [5] and [6]. Here we propose statistics which are conditionally the sum of independent variables, including the locally most powerful ...
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Symmetries of the Discrete Nonlinear Schrödinger Equation
Theoretical and Mathematical Physics, 2001The authors study the relation between the symmetries of the discrete nonlinear Schrödinger equation \[ \dot{Q}_{n}=\frac{i\gamma}{h^{2}}\left[\left(1-\varepsilon|Q_{n}|^{2 } \right)\left(Q_{n+1}+Q_{n-1}\right)-2Q_{n}\right] \tag{1} \] and the nonlinear Schrödinger equation \[ iu_{t}+\gamma u_{xx}-2\varepsilon\gamma|u|^{2}u=0.
Heredero RH, LEVI, Decio, Winternitz P.
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Representation of Discrete Symmetry Operators
Journal of Mathematical Physics, 1966Representations of discrete symmetry operators (DSO's) connected with space (𝒫), time (T), and generalized charge (𝒞) are considered. It is shown that if one writes a DSO as exp (iπΩ) × a phase transformation, then (under certain conditions on Ωs) to each DSO there corresponds a set of Ωs which is closed with respect a Lie algebra, which is isomorphic ...
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Symmetries in Discrete-Time Mechanics
Annals of Physics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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