Relevant bibliographies by topics / Lattices theory / Dissertations / Theses
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Dissertations / Theses on the topic 'Lattices theory'

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Published: 25 May 2024

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1

Race, David M. (David Michael). "Consistency in Lattices." Thesis, North Texas State University, 1986. https://digital.library.unt.edu/ark:/67531/metadc331688/.

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Let L be a lattice. For x ∈ L, we say x is a consistent join-irreducible if x V y is a join-irreducible of the lattice [y,1] for all y in L. We say L is consistent if every join-irreducible of L is consistent. In this dissertation, we study the notion of consistent elements in semimodular lattices.
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2

Radu, Ion. "Stone's representation theorem." CSUSB ScholarWorks, 2007. https://scholarworks.lib.csusb.edu/etd-project/3087.

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The thesis analyzes some aspects of the theory of distributive lattices, particularly two representation theorems: Birkhoff's representation theorem for finite distributive lattices and Stone's representation theorem for infinite distributive lattices.
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3

Gragg, Karen E. (Karen Elizabeth). "Dually Semimodular Consistent Lattices." Thesis, North Texas State University, 1988. https://digital.library.unt.edu/ark:/67531/metadc330641/.

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A lattice L is said to be dually semimodular if for all elements a and b in L, a ∨ b covers b implies that a covers a ∧ b. L is consistent if for every join-irreducible j and every element x in L, the element x ∨ j is a join-irreducible in the upper interval [x,l]. In this paper, finite dually semimodular consistent lattices are investigated. Examples of these lattices are the lattices of subnormal subgroups of a finite group. In 1954, R. P. Dilworth proved that in a finite modular lattice, the number of elements covering exactly k elements is equal to the number of elements covered by exactly
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4

Cheng, Y. "Theory of integrable lattices." Thesis, University of Manchester, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.568779.

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This thesis deals with the theory of integrable lattices in "solitons" throughout. Chapter 1 is a general introduction, which includes an historical survey and a short surrunary of the "solitons" theory and the present work. In Chapter 2, we discuss the equivalence between two kinds of lattice AKNS spectral problems - one includes two potentials, while the other includes four. The two nonlinear lattice systems associated with those two spectral problems, respectively is also proved to be equivalent to each other. In Chapter 3, we derive a class of nonlinear differential-difference equations (N
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5

Heeney, Xiang Xia Huang. "Small lattices." Thesis, University of Hawaii at Manoa, 2000. http://hdl.handle.net/10125/25936.

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This dissertation introduces triple gluing lattices and proves that a triple gluing lattice is small if the key subcomponents are small. Then attention is turned to triple gluing irreducible small lattices. The triple gluing irreducible [Special characters omitted.] lattices are introduced. The conditions which insure [Special characters omitted.] small are discovered. This dissertation also give some triple gluing irreducible small lattices by gluing [Special characters omitted.] 's. Finally, K-structured lattices are introduced. We prove that a K-structured lattice L is triple gluing irreduc
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6

Craig, Andrew Philip Knott. "Lattice-valued uniform convergence spaces the case of enriched lattices." Thesis, Rhodes University, 2008. http://hdl.handle.net/10962/d1005225.

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Using a pseudo-bisymmetric enriched cl-premonoid as the underlying lattice, we examine different categories of lattice-valued spaces. Lattice-valued topological spaces, uniform spaces and limit spaces are described, and we produce a new definition of stratified lattice-valued uniform convergence spaces in this generalised lattice context. We show that the category of stratified L-uniform convergence spaces is topological, and that the forgetful functor preserves initial constructions for the underlying stratified L-limit space. For the case of L a complete Heyting algebra, it is shown that the
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7

Jipsen, Peter. "Varieties of lattices." Master's thesis, University of Cape Town, 1988. http://hdl.handle.net/11427/15851.

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Bibliography: pages 140-145.<br>An interesting problem in universal algebra is the connection between the internal structure of an algebra and the identities which it satisfies. The study of varieties of algebras provides some insight into this problem. Here we are concerned mainly with lattice varieties, about which a wealth of information has been obtained in the last twenty years. We begin with some preliminary results from universal algebra and lattice theory. The next chapter presents some properties of the lattice of all lattice sub-varieties. Here we also discuss the important notion of
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8

Bystrik, Anna. "On Delocalization Effects in Multidimensional Lattices." Thesis, University of North Texas, 1998. https://digital.library.unt.edu/ark:/67531/metadc278868/.

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A cubic lattice with random parameters is reduced to a linear chain by the means of the projection technique. The continued fraction expansion (c.f.e.) approach is herein applied to the density of states. Coefficients of the c.f.e. are obtained numerically by the recursion procedure. Properties of the non-stationary second moments (correlations and dispersions) of their distribution are studied in a connection with the other evidences of transport in a one-dimensional Mori chain. The second moments and the spectral density are computed for the various degrees of disorder in the prototype latti
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9

Madison, Kirk William. "Quantum transport in optical lattices /." Digital version accessible at:, 1998. http://wwwlib.umi.com/cr/utexas/main.

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10

Ocansey, Evans Doe. "Enumeration problems on lattices." Thesis, Stellenbosch : Stellenbosch University, 2013. http://hdl.handle.net/10019.1/80393.

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Thesis (MSc)--Stellenbosch University, 2013.<br>ENGLISH ABSTRACT: The main objective of our study is enumerating spanning trees (G) and perfect matchings PM(G) on graphs G and lattices L. We demonstrate two methods of enumerating spanning trees of any connected graph, namely the matrix-tree theorem and as a special value of the Tutte polynomial T(G; x; y). We present a general method for counting spanning trees on lattices in d 2 dimensions. In particular we apply this method on the following regular lattices with d = 2: rectangular, triangular, honeycomb, kagomé, diced, 9 3 lattic
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11

Short, A. J. "Localisation, diffraction and hyperfinite lattices in quantum theory." Thesis, University of Oxford, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.403987.

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12

Goosen, Gerrit. "Relational representations for bounded lattices with operators." Thesis, Stellenbosch : University of Stellenbosch, 2010. http://hdl.handle.net/10019.1/4343.

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Thesis (MSc (Mathematics))--University of Stellenbosch, 2010.<br>ENGLISH ABSTRACT: Within lattice theory, an interesting question asked is whether a given abstract lattice may be represented concretely as subsets of a closure system on a topological space. This is true for boolean algebras, bounded distributive lattices and arbitrary bounded lattices. In particular, there are a multitude of ways to represent bounded lattices. We present some of these ideas, as well as an analysis of the differences between them. We further investigate the attempts that were made to extend the above repre
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13

Catterall, Simon Marcus. "Numerical studies of field theories on random lattices." Thesis, University of Oxford, 1988. http://ora.ox.ac.uk/objects/uuid:48c22ec6-0096-4a2c-be45-cbb20ba7a5b6.

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In this thesis we shall be concerned with the study of models which arise as a consequence of adopting discrete regularisations for various Euclidean space quantum field theories. Specifically, we employ a random triangulation of the continuum space, and define the fields only over nodes or links of the mesh. Lattice field theories, together with the Renormalisation Group, are introduced in the first chapter. Continuum physics is shown to depend on the positions and stabilities of zeroes of the β-function, which in turn requires a knowledge of the critical behaviour of the associated statistic
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14

Harkins, Andrew. "Combining lattices of soluble lie groups." Thesis, University of Newcastle Upon Tyne, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.341777.

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15

Janzen, David. "The smallest irreducible lattices in the product of trees /." Thesis, McGill University, 2007. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=101884.

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We produce a nonpositively curved square complex, X, containing exactly four squares. Its universal cover, X̃ ≅ T4 x T 4, is isomorphic to the product of two 4-valent trees. The group, pi1X, is a lattice in Aut (X̃) but π1X is not virtually a nontrivial product of free groups. There is no such example with fewer than four squares. The main ingredient in our analysis is that X̃ contains an "anti-torus" which is a certain aperiodically tiled plane.
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16

Matsoha, Moroli David Vusi. "Lattices of properties of countable graphs and the Hedetniemi Conjecture." Diss., University of Pretoria, 2013. http://hdl.handle.net/2263/33313.

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Lattices of hereditary properties of nite graphs have been extensively studied. We investigate the lattice L of induced-hereditary properties of countable graphs. Of interest to us will be some of the members of L. Much of our focus will be on hom-properties. We analyze their behaviour and consider their link to solving the long standing Hedetniemi Conjecture. We then discuss universal graphs and construct a universal graph for hom-properties. We then use these universal graphs to prove a theorem by Szekeres and Wilf. Lastly we off er a new proof of a theorem by Du ffus, Sands and Wood
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17

Codogni, Giulio. "Satake compactifications, lattices and Schottky problem." Thesis, University of Cambridge, 2014. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.648555.

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18

Kotecha, Vinay. "Solitons on lattices and curved space-time." Thesis, Durham University, 2001. http://etheses.dur.ac.uk/3845/.

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This thesis is concerned with solitons (solutions of certain nonlinear partial differential equations) in certain cases when the underlying space is either a lattice or curved. Chapter 2 of the thesis is concerned with the outcome of collisions between a kink (a 1-dimensional soliton) and an antikink for certain topological discrete (TD) systems. The systems considered are the TD sine-Gordon and the TD ø(^4) For the TD sine-Gordon system it is found that the kink can support an internal shape mode which plays an important role during the collisions. In particular, this mode can be excited duri
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19

Sellapillay, Kevissen. "Quantum dynamics on lattices." Electronic Thesis or Diss., Aix-Marseille, 2022. http://www.theses.fr/2022AIXM0429.

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Le domaine de l’informatique quantique a connu ces dernières années un fort développement. Un nouveau phénomène a récemment été découvert sur atomes de Rydberg, le scarring, qui s’est révélé être un nouveau mécanisme de brisure d’ergodicité: certains états initiaux n’explorent pas l’entièreté de l’espace de Hilbert mais restent localisés. Ce type de mécanisme a un potentiel intérêt pour encoder de l’information dans des systèmes quantiques.Dans cette thèse, on étudie des dynamiques discrètes en espace temps, qui sont des modèles quantiques simples à plusieurs corps. Des exemples de ces dynamiq
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20

Zschalig, Christian. "Characterizations of Planar Lattices by Left-relations." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2009. http://nbn-resolving.de/urn:nbn:de:bsz:14-ds-1240834941828-67021.

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Recently, Formal Concept Analysis has proven to be an efficient method for the analysis and representation of information. However, the possibility to visualize concept hierarchies is being affected by the difficulty of drawing attractive diagrams automatically. Reducing the number of edge crossings seems to increase the readability of those drawings. This dissertation concerns with a mandatory prerequisite of this constraint, namely the characterization and visual representation of planar lattices. The manifold existing approaches and algorithms are thereby considered under a different point
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21

Kwuida, Leonard. "Dicomplemented Lattices." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2004. http://nbn-resolving.de/urn:nbn:de:swb:14-1101148726640-29266.

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Das Ziel dieser Arbeit ist es die mathematische Theorie der Begriffsalgebren zu entwickeln. Wir betrachten dabei hauptsaechlich das Repraesentationsproblem dieser vor Kurzem eingefuehrten Strukturen. Motiviert durch die Suche nach einer geeigneten Negation sind die Begriffsalgebren entstanden. Sie sind nicht nur fuer die Philosophie oder die Wissensrepraesentation von Interesse, sondern auch fuer andere Felder, wie zum Beispiel Logik oder Linguistik. Das Problem Negationen geeignet einzufuehren, ist sicher eines der aeltesten der wissenschaftlichen oder philosophischen Gemeinschaft und erregt
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22

Boykin, Charles Martin. "The Study of Translation Equivalence on Integer Lattices." Thesis, University of North Texas, 2003. https://digital.library.unt.edu/ark:/67531/metadc4345/.

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This paper is a contribution to the study of countable Borel equivalence relations on standard Borel spaces. We concentrate here on the study of the nature of translation equivalence. We study these known hyperfinite spaces in order to gain insight into the approach necessary to classify certain variables as either being hyperfinite or not. In Chapter 1, we will give the basic definitions and examples of spaces used in this work. The general construction of marker sets is developed in this work. These marker sets are used to develop several invariant tilings of the equivalence classes of spec
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23

Parviainen, Robert. "Connectivity Properties of Archimedean and Laves Lattices." Doctoral thesis, Uppsala : Matematiska institutionen, Univ. [distributör], 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-4251.

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24

Goodwin, Michelle. "Lattices and Their Application: A Senior Thesis." Scholarship @ Claremont, 2016. http://scholarship.claremont.edu/cmc_theses/1317.

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Lattices are an easy and clean class of periodic arrangements that are not only discrete but associated with algebraic structures. We will specifically discuss applying lattices theory to computing the area of polygons in the plane and some optimization problems. This thesis will details information about Pick's Theorem and the higher-dimensional cases of Ehrhart Theory. Closely related to Pick's Theorem and Ehrhart Theory is the Frobenius Problem and Integer Knapsack Problem. Both of these problems have higher-dimension applications, where the difficulties are similar to those of Pick's Theor
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25

Semegni, Jean Yves. "On the computation of freely generated modular lattices." Thesis, Stellenbosch : Stellenbosch University, 2008. http://hdl.handle.net/10019.1/1207.

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26

McKinney, Sarah. "Dynamics of Bose-Einstein condensates in optical lattices /." Thesis, Connect to this title online; UW restricted, 2004. http://hdl.handle.net/1773/9805.

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27

Johnston, I. J. "Modularity and distributivity in directed multilattices." Thesis, Queen's University Belfast, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.373530.

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28

Zschalig, Christian. "Characterizations of Planar Lattices by Left-relations." Doctoral thesis, Technische Universität Dresden, 2008. https://tud.qucosa.de/id/qucosa%3A23687.

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Recently, Formal Concept Analysis has proven to be an efficient method for the analysis and representation of information. However, the possibility to visualize concept hierarchies is being affected by the difficulty of drawing attractive diagrams automatically. Reducing the number of edge crossings seems to increase the readability of those drawings. This dissertation concerns with a mandatory prerequisite of this constraint, namely the characterization and visual representation of planar lattices. The manifold existing approaches and algorithms are thereby considered under a different point
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29

LANCELLOTTI, BENEDETTA. "Linear source lattices and their relevance in the representation theory of finite groups." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2018. http://hdl.handle.net/10281/199015.

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Molti dei problemi ancora aperti nella teoria delle rappresentazioni dei gruppi finiti riguardano la struttura locale-globale dei gruppi. Sia G un gruppo finito, p un primo che ne divide l'ordine e (K,O,F) un sistema p-modulare di spezzamento. Lo studio locale-globale delle rappresentazioni di G cerca gli invarianti di G che possono essere individuati nei suoi sottogruppi locali, i.e, nel normalizzatore N di un p-sottogruppo D di G, e viceversa. Uno strumento chiave in questo contesto è la corrispondenza di Green, che stabilisce una biezione tra gli OG-reticoli indecomponibili che hanno D (o
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30

Hausmann, Markus [Verfasser]. "Symmetric products, subgroup lattices and filtrations of global K-theory / Markus Hausmann." Bonn : Universitäts- und Landesbibliothek Bonn, 2016. http://d-nb.info/1113688408/34.

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31

Huff, Cheryl Rae. "Countable Additivity, Exhaustivity, and the Structure of Certain Banach Lattices." Thesis, University of North Texas, 1999. https://digital.library.unt.edu/ark:/67531/metadc278330/.

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The notion of uniform countable additivity or uniform absolute continuity is present implicitly in the Lebesgue Dominated Convergence Theorem and explicitly in the Vitali-Hahn-Saks and Nikodym Theorems, respectively. V. M. Dubrovsky studied the connection between uniform countable additivity and uniform absolute continuity in a series of papers, and Bartle, Dunford, and Schwartz established a close relationship between uniform countable additivity in ca(Σ) and operator theory for the classical continuous function spaces C(K). Numerous authors have worked extensively on extending and generalizi
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32

Underwood, Devin Lane. "Microwave cavity lattices for quantum simulation with photons." Thesis, Princeton University, 2015. http://pqdtopen.proquest.com/#viewpdf?dispub=3686679.

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<p> Historically our understanding of the microscopic world has been impeded by limitations in systems that behave classically. Even today, understanding simple problems in quantum mechanics remains a difficult task both computationally and experimentally. As a means of overcoming these classical limitations, the idea of using a controllable quantum system to simulate a less controllable quantum system has been proposed. This concept is known as quantum simulation and is the origin of the ideas behind quantum computing. </p><p> In this thesis, experiments have been conducted that address the
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33

Goswick, Lee Michael. "On the dynamical, geometric, and arithmetic properties of Euclidean lattices." Birmingham, Ala. : University of Alabama at Birmingham, 2007. https://www.mhsl.uab.edu/dt/2007p/goswick.pdf.

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Thesis (Ph. D.)--University of Alabama at Birmingham, 2007.<br>Additional advisors: Nikolai Chernov, S. S. Ravindran, Alan Sprague, Min Sun. Description based on contents viewed Feb. 6, 2008; title from title screen. Includes bibliographical references.
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34

Kallio, Karn. "Static potential between adjoint quarks on coarse lattices in SU(2) gauge theory." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0022/MQ51373.pdf.

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35

Osborne, Charles Allen. "Some Aspects of the Theory of the Adelic Zeta Function Associated to the Space of Binary Cubic Forms." Diss., Temple University Libraries, 2010. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/74040.

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Mathematics<br>Ph.D.<br>This paper examines the theory of an adelization of Shintani's zeta function, especially as it relates to density theorems for discriminants of cubic extensions of number fields.<br>Temple University--Theses
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36

Meyer, Nicolas David. "Determination of Quadratic Lattices by Local Structure and Sublattices of Codimension One." OpenSIUC, 2015. https://opensiuc.lib.siu.edu/dissertations/1026.

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For definite quadratic lattices over the rings of integers of algebraic number fields, it is shown that lattices are determined up to isometry by their local structure and sublattices of codimension 1. In particular, a theorem of Yoshiyuki Kitaoka for $\mathbb{Z}$-lattices is generalized to definite lattices over algebraic number fields.
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37

Gatica, Perez Daniel. "Extensive operators in lattices of partitions for digital video analysis /." Thesis, Connect to this title online; UW restricted, 2001. http://hdl.handle.net/1773/5874.

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38

Santos, Francisco Ednilson Alves dos [Verfasser]. "Ginzburg-Landau theory for bosonic gases in optical lattices / Francisco Ednilson Alves dos Santos." Berlin : Freie Universität Berlin, 2011. http://d-nb.info/1026266092/34.

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39

Prabaharan, Kanagarajah. "Topics in ergodic theory : existence of invariant elements and ergodic decompositions of Banach lattices /." The Ohio State University, 1991. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487688973685025.

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40

Taylor, Imogen T. F. "Control and synchronisation of coupled map lattices : interdisciplinary modelling of synchronised dynamic behaviour (insects in particular)." Thesis, University of Derby, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.275687.

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41

Sale, Andrew W. "The length of conjugators in solvable groups and lattices of semisimple Lie groups." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:ea21dab2-2da1-406a-bd4f-5457ab02a011.

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The conjugacy length function of a group Γ determines, for a given a pair of conjugate elements u,v ∈ Γ, an upper bound for the shortest γ in Γ such that uγ = γv, relative to the lengths of u and v. This thesis focuses on estimating the conjugacy length function in certain finitely generated groups. We first look at a collection of solvable groups. We see how the lamplighter groups have a linear conjugacy length function; we find a cubic upper bound for free solvable groups; for solvable Baumslag--Solitar groups it is linear, while for a larger family of abelian-by-cyclic groups we get either
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42

Maeda, Kazuki. "Theory of Discrete and Ultradiscrete Integrable Finite Lattices Associated with Orthogonal Polynomials and Its Applications." 京都大学 (Kyoto University), 2014. http://hdl.handle.net/2433/188859.

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43

Klein, Alexander. "Special purpose quantum information processing with atoms in optical lattices." Thesis, University of Oxford, 2007. http://ora.ox.ac.uk/objects/uuid:bc67ec3e-3cc7-4d13-ae11-b436b2ca897b.

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Atoms in optical lattices are promising candidates to implement quantum information processing. Their behaviour is well understood on a microscopic level, they exhibit excellent coherence properties, and they can be easily manipulated using external fields. In very deep optical lattices, each atom is restricted to a single lattice site and can be used as a qubit. If the lattice is shallow enough such that the atoms can move, their properties can be used to simulate certain condensed matter phenomena such as superconductivity. In this thesis, we show how technical problems of optical lattices s
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44

Wild, Marcel Wolfgang. "Dreieckverbande : lineare und quadratische darstellungstheorie." Thesis, University of Zurich, 1987. http://hdl.handle.net/10019.1/70322.

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Prof. Marcel Wild completed his PhD with Zurick University and this is a copy of the original works<br>The original works can be found at http://www.hbz.uzh.ch/<br>ABSTRACT: A linear representation of a modular lattice L is a homomorphism from L into the lattice Sub(V) of all subspaces of a vector space V. The representation theory of lattices was initiated by the Darmstadt school (Wille, Herrmann, Poguntke, et al), to large extent triggered by the linear representations of posets (Gabriel, Gelfand-Ponomarev, Nazarova, Roiter, Brenner, et al). Even though posets are more general than lattices,
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45

Sercombe, Damian. "A family of uniform lattices acting on a Davis complex with a non-discrete set of covolumes." Thesis, The University of Sydney, 2015. http://hdl.handle.net/2123/16026.

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Let (W,S) be a Coxeter system with Davis complex Σ. The polyhedral automorphism group G of Σ is a locally compact group under the compact-open topology. If G is a discrete group (as characterised by Haglund-Paulin), then the set Vu(G) of uniform lattices in G is discrete. Whether the converse is true remains an open problem. Under certain assumptions on (W,S), we show that Vu(G) is non-discrete and contains rationals (in lowest form) with denominators divisible by arbitrarily large powers of any prime less than a fixed integer. We explicitly construct our lattices as fundamental groups of comp
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46

Usatine, Jeremy. "Arithmetical Graphs, Riemann-Roch Structure for Lattices, and the Frobenius Number Problem." Scholarship @ Claremont, 2014. http://scholarship.claremont.edu/hmc_theses/57.

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If R is a list of positive integers with greatest common denominator equal to 1, calculating the Frobenius number of R is in general NP-hard. Dino Lorenzini defines the arithmetical graph, which naturally arises in arithmetic geometry, and a notion of genus, the g-number, that in specific cases coincides with the Frobenius number of R. A result of Dino Lorenzini's gives a method for quickly calculating upper bounds for the g-number of arithmetical graphs. We discuss the arithmetic geometry related to arithmetical graphs and present an example of an arithmetical graph that arises in this contex
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47

Kelvey, Robert J. Kelvey. "Properties of groups acting on Twin-Trees and Chabauty space." Bowling Green State University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1479423366082688.

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48

Hasselfield, Matthew. "Localization of a particle due to dissipation in 1 and 2 dimensional lattices." Thesis, Vancouver : University of British Columbia, 2006. http://hdl.handle.net/2429/74.

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We study two aspects of the problem of a particle moving on a lattice while subject to dissipation, often called the "Schmid model." First, a correspondence between the Schmid model and boundary sine-Gordon field theory is explored, and a new method is applied to the calculation of the partition function for the theory. Second, a traditional condensed matter formulation of the problem in one spatial dimension is extended to the case of an arbitrary two-dimensional Bravais lattice. A well-known mathematical analogy between one-dimensional dissipative quantum mechanics and string theory provid
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49

Tsuchiya, Shunji. "Theory of Bose-Einstein condensates in optical lattices = Hikari kōshichū no Bōsu-Ainshutain gyōshukutai ni kansuru rironteki kenkyū /." Electronic version of text Electronic version of summary Electronic version of examination, 2005. http://www.wul.waseda.ac.jp/gakui/honbun/4003/.

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Thesis (Sci. D.)--Waseda University, 2005.<br>Accompanied by summary (6 p. ; 30 cm.) in Japanese. Includes bibliographical references (p. 83-88). "List of publications [by Shunji Tsuchiya]": p. 89-90.
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Schauch, Tim Konstantin [Verfasser], and Urs [Akademischer Betreuer] Hartl. "Weak admissibility of Hodge-Pink lattices in terms of Geometric Invariant Theory / Tim Konstantin Schauch ; Betreuer: Urs Hartl." Münster : Universitäts- und Landesbibliothek Münster, 2014. http://d-nb.info/1138285722/34.

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