Relevant bibliographies by topics / Pfaffian structure

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  2. Dissertations / Theses
  3. Books
  4. Book chapters

Academic literature on the topic 'Pfaffian structure'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Pfaffian structure"

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Mizusaki, Takahiro, and Peter Schuck. "Alpha correlations in terms of the hyper-Pfaffian." EPJ Web of Conferences 223 (2019): 01040. http://dx.doi.org/10.1051/epjconf/201922301040.

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We find that the overlap between alpha-like four-body condensation wave function and m-scheme basis state can be represented by the hyper-Pfaffian, which is a natural extension of the Pfaffian for thepair-condensation wave function. This overlap is useful for nuclear structure calculations with the variational Monte Carlo method. As the hyper-Pfaffian has, however, only a few mathematical relations, it is quite difficult to use for numerical computations. We also find that a specific case of hyper-Pfaffian can be expressed by the sum of standard Pfaffians.
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Xie, Xi-Yang, Bo Tian, Wen-Rong Sun, and Yun-Po Wang. "Prolongation Structure of a Generalised Inhomogeneous Gardner Equation in Plasmas and Fluids." Zeitschrift für Naturforschung A 71, no. 4 (2016): 337–43. http://dx.doi.org/10.1515/zna-2015-0490.

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AbstractIn this article, the prolongation structure technique is applied to a generalised inhomogeneous Gardner equation, which can be used to describe certain physical situations, such as the stratified shear flows in ocean and atmosphere, ion acoustic waves in plasmas with a negative ion, interfacial solitary waves over slowly varying topographies, and wave motion in a non-linear elastic structural element with large deflection. The Lax pairs, which are derived via the prolongation structure, are more general than the Lax pairs published before. Under the Painlevé conditions, the linear-damp
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Speissegger, Patrick. "The Pfaffian closure of an o-minimal structure." Journal für die reine und angewandte Mathematik (Crelles Journal) 1999, no. 508 (1999): 189–211. http://dx.doi.org/10.1515/crll.1999.508.189.

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Miller, Chris, and Patrick Speissegger. "Pfaffian differential equations over exponential o-minimal structures." Journal of Symbolic Logic 67, no. 1 (2002): 438–48. http://dx.doi.org/10.2178/jsl/1190150053.

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In this paper, we continue investigations into the asymptotic behavior of solutions of differential equations over o-minimal structures.Let ℜ be an expansion of the real field (ℝ, +, ·).A differentiable map F = (F1,…, F1): (a, b) → ℝi is ℜ-Pfaffian if there exists G: ℝ1+l → ℝl definable in ℜ such that F′(t) = G(t, F(t)) for all t ∈ (a, b) and each component function Gi: ℝ1+l → ℝ is independent of the last l − i variables (i = 1, …, l). If ℜ is o-minimal and F: (a, b) → ℝl is ℜ-Pfaffian, then (ℜ, F) is o-minimal (Proposition 7). We say that F: ℝ → ℝl is ultimately ℜ-Pfaffian if there exists r ∈
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Speissegger, Patrick, and Jean-Marie Lion. "Analytic stratification in the Pfaffian closure of an o-minimal structure." Duke Mathematical Journal 103, no. 2 (2000): 215–31. http://dx.doi.org/10.1215/s0012-7094-00-10322-5.

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Wang, L. J., F. Q. Chen, Y. Sun, T. Mizusaki, and M. Oi. "Application of the Pfaffian Algorithm in the Nuclear Structure Study at High Spins." Acta Physica Polonica B 46, no. 3 (2015): 497. http://dx.doi.org/10.5506/aphyspolb.46.497.

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Jones, G. O. "Zero sets of smooth functions in the Pfaffian closure of an o-minimal structure." Proceedings of the American Mathematical Society 136, no. 11 (2008): 4019–25. http://dx.doi.org/10.1090/s0002-9939-08-09373-8.

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Akemann, Gernot, and Eugene Kanzieper. "Integrable Structure of Ginibre’s Ensemble of Real Random Matrices and a Pfaffian Integration Theorem." Journal of Statistical Physics 129, no. 5-6 (2007): 1159–231. http://dx.doi.org/10.1007/s10955-007-9381-2.

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Sun, Yang, Jiaqi Wang, Saumi Dutta, and Long-Jun Wang. "A novel projected shell model method for nuclear level density." EPJ Web of Conferences 329 (2025): 02002. https://doi.org/10.1051/epjconf/202532902002.

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We introduce a shell model method for calculating nuclear level density (NLD) generally applicable for arbitrarily heavy deformed nuclei. The method is novel because of our use of physical guidance for the construction of its configuration space and the computational breakthrough with the Pfaffian algorithm. Taking a well deformed even-even 164 Dy nucleus as an example, we solve exactly the eigenvalue equation to obtain a large ensemble of eigenstates of angular momentum and parity. Our results indicate a potential need to revise some common understanding of the structural behavior in the pair
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Shevchenko, Yu. "Сurvature-torsion tensor for Cartan connection". Differential Geometry of Manifolds of Figures, № 50 (2019): 155–68. http://dx.doi.org/10.5922/0321-4796-2019-50-18.

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A Lie group containing a subgroup is considered. Such a group is a principal bundle, a typical fiber of this principal bundle is the subgroup and a base is a homogeneous space, which is obtained by factoring the group by the subgroup. Starting from this group, we constructed structure equations of a space with Cartan connection, which generalizes the Cartan point projective connection, Akivis’s linear projective connection, and a plane projective connection. Structure equations of this Cartan connection, containing the components of the curvature-torsion object, allowed: 1) to show that the cu
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Dissertations / Theses on the topic "Pfaffian structure"

1

Norine, Serguei. "Matching structure and Pfaffian orientations of graphs." Diss., Georgia Institute of Technology, 2005. http://hdl.handle.net/1853/7232.

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The first result of this thesis is a generation theorem for bricks. A brick is a 3-connected graph such that the graph obtained from it by deleting any two distinct vertices has a perfect matching. The importance of bricks stems from the fact that they are building blocks of a decomposition procedure of Kotzig, and Lovasz and Plummer. We prove that every brick except for the Petersen graph can be generated from K_4 or the prism by repeatedly applying certain operations in such a way that all the intermediate graphs are bricks. We use this theorem to prove an exact upper bound on the number of
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Lyaudet, Laurent. "Graphes et hypergraphes : complexités algorithmique et algébrique." Phd thesis, Ecole normale supérieure de lyon - ENS LYON, 2007. http://tel.archives-ouvertes.fr/tel-00905137.

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Attention, ce résumé comporte un peu d'ironie et d'humour. Dans ce mémoire, nous défendons l'idée selon laquelle, pour tout modèle de calcul raisonnable, ce n'est plus tant le modèle qui compte pour caractériser les classes de complexité importantes que la complexité de la structure combinatoire sous-jacente et en définitive d'un graphe sous-jacent. Pour prendre l'exemple des circuits booléens ou algébriques comme modèles, tout ce qui importe est la complexité du graphe orienté sous-jacent au circuit. Par modèle de calcul raisonnable, nous entendons, comme il se doit, un modèle qui étudié sur
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Books on the topic "Pfaffian structure"

1

Mann, Peter. Autonomous Geometrical Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0022.

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This chapter examines the structure of the phase space of an integrable system as being constructed from invariant tori using the Arnold–Liouville integrability theorem, and periodic flow and ergodic flow are investigated using action-angle theory. Time-dependent mechanics is formulated by extending the symplectic structure to a contact structure in an extended phase space before it is shown that mechanics has a natural setting on a jet bundle. The chapter then describes phase space of integrable systems and how tori behave when time-dependent dynamics occurs. Adiabatic invariance is discussed
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Book chapters on the topic "Pfaffian structure"

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Byun, Sung-Soo, and Peter J. Forrester. "Eigenvalue Statistics for GinOE and Elliptic GinOE." In KIAS Springer Series in Mathematics. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-5173-0_7.

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AbstractFor GinUE matrices the (complex) Schur decomposition underpinned our ability to compute the eigenvalue PDF. This has a real analogue, although it is necessary to condition on the number of real eigenvalues. Consequently, the eigenvalue PDF is no longer absolutely continuous, but rather breaks up into sectors depending on the number of real eigenvalues. Nonetheless, as for real symmetric GOE matrices, structures giving rise to a Pfaffian point process result, the further development of which requires identifying particular skew-orthogonal polynomials. Questions relating to the distribut
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2

Speissegger, Patrick. "Pfaffian Sets and O-minimality." In Lecture Notes on O-Minimal Structures and Real Analytic Geometry. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-4042-0_5.

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"PDE systems, pfaffian systems and vector field systems." In Lie's Structural Approach to PDE Systems. Cambridge University Press, 2000. http://dx.doi.org/10.1017/cbo9780511569456.003.

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Bracken, Paul. "An Introduction to the Generalized Gauss-Bonnet-Chern Theorem." In Manifolds - Recent Developments and Applications [Working Title]. IntechOpen, 2022. http://dx.doi.org/10.5772/intechopen.105716.

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This work studies the mathematical structures which are relevant to differentiable manifolds needed to prove the Gauss-Bonnet-Chern theorem. These structures include de Rham cohomology vector spaces of the manifold, characteristic classes such as the Euler class, pfaffians, and some fiber bundles with useful properties. The paper presents a unified approach that makes use of fiber bundles and leads to a non-computational proof of the Gauss-Bonnet-Chern Theorem. It is indicated how it can be generalized to manifolds with boundary.
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"The equivalence problem for general 3-dimensional pfaffian systems in five variables." In Lie's Structural Approach to PDE Systems. Cambridge University Press, 2000. http://dx.doi.org/10.1017/cbo9780511569456.018.

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Journal articles
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