Filters








16 Hits in 3.7 sec

Anzahl theorems in finite singular symplectic, unitary and orthogonal geometries

Zhe-xian Wan
1993 Discrete Mathematics  
Transitive sets of subspaces of a vector space over a finite field under extended symplectic, unitary and orthogonal groups are determined and their cardinals are computed.  ...  The number of subspaces in a transitive set contained in a given subspace of the ordinary symplectic, unitary or orthogonal geometries is also computed.  ...  Parallel to Section 1, we apply the above corollary to obtain an Anzahl theorem in ordinary orthogonal geometry.  ... 
doi:10.1016/0012-365x(93)90013-j fatcat:zhkdhjbwd5afpld6kxbhxb3fqi

Geometry of classical groups over finite fields and its applications

Zhe-xian Wan
1997 Discrete Mathematics  
This is a survey paper on the geometry of classical groups over finite fields and its applications, old and new• The contents of the paper are as follows: (1) The seed of our study; (2) The problems we  ...  (iv) What is the number of subspaces in an orbit contained in a given subspace?  ...  Why do we study the geometry of singular symplectic, unitary, and orthogonal groups over finite fields?  ... 
doi:10.1016/s0012-365x(96)00350-0 fatcat:auiznbmbkzcfxczhq223ja6dmm

Page 2222 of Mathematical Reviews Vol. , Issue 95d [page]

1995 Mathematical Reviews  
Ebert (1-DE; Newark, DE) 95d:51005 51A50 51E30 Wan, Zhe Xian (PRC-ASBJ-S; Beijing) Anzahl theorems in finite singular symplectic, unitary and orthogonal geometries.  ...  The results are useful in constructing various block designs, and can also be applied for the ordinary symplectic, unitary and orthogonal geometries.  ... 

Page 275 of Mathematical Reviews Vol. , Issue 95a [page]

1995 Mathematical Reviews  
In Chapter 4, G is pseudo-symplectic, and in Chapter 5, G is unitary; Hermitian varieties in PG(n,F,.) and AG(n,F,2) are also described in the same chapter.  ...  It can be recommended as a primer suitable for beginning graduate students intending to work in finite geometries and also as a useful reference for those working in areas related to this field.  ... 

ABSTRACTS その2

1941 Japanese Journal of Mathematics: Transactions and Abstracts  
The characters of the full orthogonal group 0(n) and the symplectic group Sp(nn were obtained by II. Weyl and enunciated as theorems in his book "The Classical Groups ".  ...  The present author makes out of these theorem rules of decompositions of characters of the groups 0(n) and Sp(n) into those of 0(n -1) and Sp(n-1) respectively.  ...  In the paper reviewed above, the author proved somes theorems on Pfaffian forms in K,m) or K*(m)n and gave some applications of these theorems to higher order differential geometry.  ... 
doi:10.4099/jjm1924.18.0_a17 fatcat:uhd64ohyobdm7lp73hf3icosje

Local cohomology – an invitation [article]

Uli Walther, Wenliang Zhang
2021 arXiv   pre-print
This article is part introduction and part survey to the mathematical area centered around local cohomology.  ...  The Kodaira Vanishing Theorem fails for singular varieties in character- istic 0 and also fails for smooth varieties in characteristic p.  ...  Fix a symplectic structure ω on C2n .  ... 
arXiv:2106.09796v2 fatcat:uyufd45vobferfub3bhnud644q

Page 933 of Mathematical Reviews Vol. 27, Issue Index [page]

Mathematical Reviews  
E., 95h:51005 Wan, Zhe Xian Anzahl theorems in finite singular symplectic, unitary and orthogonal geometries.  ...  and orthogonal spheres in n-dimensional Euclidean spaces.  ... 

Page 1444 of Mathematical Reviews Vol. 27, Issue Index [page]

Mathematical Reviews  
(Summary) 95¢:94008 94A55 (11B83) — Anzahl theorems in finite singular symplectic, unitary and orthogonal geometries. (English summary) Discrete Math. 123 (1993), no. 1-3, 131-150.  ...  (Horst Struve) 95f:15014 15A30 (16S50, 51N35) — (with Huo, Yuan Ji) Lattices generated by subspaces of the same dimension and rank in orthogonal geometry over finite fields of even characteristic.  ... 

Ahlfors circle maps and total reality: from Riemann to Rohlin [article]

Alexandre Gabard
2013 arXiv   pre-print
Works by Yamada 1978--2001, Gouma 1998 and Coppens 2011 suggest sharper degree controls than available in Ahlfors' era.  ...  The theory in question has some well-known intersection with real algebraic geometry, especially Klein's ortho-symmetric curves via the paradigm of total reality.  ...  The topic is then strongly allied to deep methods in differential topology, Galois cohomology, symplectic geometry, Gromov-Witten, enumerative problems, tropical geometry, etc.  ... 
arXiv:1211.3680v2 fatcat:zxpgxttfofd4tlfd46hc4t57cm

N = 1 and non-supersymmetric open string theories in six and four space-time dimensions [article]

Lars Görlich, Humboldt-Universität Zu Berlin, Humboldt-Universität Zu Berlin
2017
In diesem ist die Anzahl der chiralen Fermionen durch die topologische Schnittzahl der D-Branen gegeben.  ...  In chapter 4 we quantize open strings with linear boundary conditions, as they show up in electro-magnetic fields. We quantize the zero- and momentum-modes for toroidal compactifications, too.  ...  I am very grateful to Ralph Blumenhagen, who taught me a lot of things in string theory. I would also like to thank Boris Körs who was Ph.D. student in Berlin during my Diploma and early Ph.D. time.  ... 
doi:10.18452/14978 fatcat:evcl5u7n5zebnkuebvcehuecbe

Semiclassics beyond the diagonal approximation

Marko Turek
2004
This conjecture has been confirmed in many experiments and numerical studies but a formal proof is still lacking.  ...  Insbesondere wird in der vorliegenden Arbeit gezeigt, daß die Anwendung dieser semiklassischen Methoden auf die viel größere Klasse nicht-uniformer hyperbolischer Systeme mit beliebiger Anzahl von Freiheitsgraden  ...  This is in accordance with (5.24) and Shnirelman's theorem.  ... 
doi:10.5283/epub.10195 fatcat:wug3jojkonae7b3tbcivx7wvpy

Multilevel convergence analysis : parallel-in-time integration for fluid-structure interaction problems with applications in cardiac flow modeling [article]

Andreas Hessenthaler, Universität Stuttgart
2021
The convergence framework is applied to a number of test problems relevant to FSI modeling, both linear and nonlinear as well as parabolic and hyperbolic in nature.  ...  Convergence of MGRIT is studied for the solution of linear and nonlinear (systems of) PDEs: from single- to multiphysics applications relevant to FSI problems in two and three dimensions.  ...  with F-and FCF-relaxation in [36, Section 4.2]. 4.16), (4.20) and (4.21) follows the nilpotent operator, Theorem 5 . 5 Let { `} be simultaneously diagonalizable by the same unitary transformation  ... 
doi:10.18419/opus-11260 fatcat:bcu72v4yujbozaoqujdext6z2a

Wave packet dynamics in atomic systems and Bose-Einstein condensates [article]

Tomaz Fabcic, Universität Stuttgart, Universität Stuttgart
2008
The wave packet dynamics in atomic systems and in Bose-Einstein condensates is investigated by means of a time-dependent variational principle.  ...  The exact analytic evolution of the restricted GWP is presented, and the expansion of a localized initial wave function in the restricted Gaussian basis set and its analytic propagation in the fictitious  ...  to zero width occurs within finite time.  ... 
doi:10.18419/opus-4834 fatcat:c72zrrvchbfrrk3lzphhbknc34

Semiclassical Treatment of Interference Phenomena in Bosonic Quantum Many-Body Systems

Josef Rammensee
2019
A major goal of the semiclassical theory is to understand and treat a quantum system in the regime of large quantum numbers using information from its classical limit.  ...  For later times, one observes a saturation of the OTOC as a consequence of unitary quantum [...]  ...  However, since the systems of choice to study OTOCs in this thesis are Bose-Hubbard models with a finite number of sites and thus a finite index set I, we omit such a discussion here.  ... 
doi:10.5283/epub.40727 fatcat:b3mrr6ukffejxltkg6f6ojebuq

Semiclassical Treatment of Interference Phenomena in Bosonic Quantum Many-Body Systems

Josef Rammensee
2019
A major goal of the semiclassical theory is to understand and treat a quantum system in the regime of large quantum numbers using information from its classical limit.  ...  For later times, one observes a saturation of the OTOC as a consequence of unitary quantum [...]  ...  However, since the systems of choice to study OTOCs in this thesis are Bose-Hubbard models with a finite number of sites and thus a finite index set I, we omit such a discussion here.  ... 
doi:10.5283/epub.40547 fatcat:kuhvjhgxtzb5zbxl7h72xcx4py
« Previous Showing results 1 — 15 out of 16 results