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  • 1.
    Ahlman, Ove
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
    To infinity and back: Logical limit laws and almost sure theories2014Licentiate thesis, comprehensive summary (Other academic)
  • 2.
    Alm, Sven Erick
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Monotonicity of the difference between median and mean of Gamma distributions and of a related Ramanujan sequence2002Report (Other academic)
  • 3.
    Alm, Sven Erick
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    On monoticity of some binomial probabilities2010Report (Other academic)
  • 4.
    Alsaody, Seidon
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
    Corestricted Group Actions and Eight-Dimensional Absolute Valued Algebras2012Report (Other academic)
    Abstract [en]

    A condition for when two eight-dimensional absolute valued algebras are isomorphic was given in [4]. We use this condition to deduce a description (in the sense of Dieterich, [9]) of the category of such algebras, and show how previous descriptions of some full subcategories fit in this description. Led by the structure of these examples, we aim at systematically constructing new subcategories whose classification is manageable. To this end we propose, in greater generality, the definition of sharp stabilizers for group actions, and use these to obtain conditions for when certain subcategories of groupoids are full. This we apply to the category of eight-dimensional absolute valued algebras and obtain a class of subcategories, for which we simplify, and partially solve, the classification problem.

  • 5.
    Alsaody, Seidon
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
    Morphisms in the Category of Finite Dimensional Absolute Valued Algebras2011Report (Other academic)
    Abstract [en]

    This is a study of morphisms in the category of nite dimensional absolute valued algebras, whose codomains have dimension four. We begin by citing and transferring a classication of an equivalent category. Thereafter, we give a complete description of morphisms from one-dimensional algebras, partly via solutions of real polynomials, and a complete, explicit description of morphisms from two-dimensional algebras. We then give an account of the reducibility of the morphisms, and for the morphisms from two-dimensional algebras we describe the orbits under the actions of the automorphism groups involved. Parts of these descriptions rely on a suitable choice of a cross-section of four-dimensional absolute valued algebras, and we thus end by providing an explicit means of transferring these results to algebras outside this crosssection.

  • 6.
    Alsaody, Seidon
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
    On Finite-Dimensional Absolute Valued Algebras2012Licentiate thesis, comprehensive summary (Other academic)
  • 7.
    Amiri, Saeid
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    von Rosen, Dietrich
    SLU.
    Zwanzig, Silvelyn
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    On the comparison of parametric and nonparametric bootstrap2008Report (Other academic)
  • 8.
    Bialas-Ciez, L.
    et al.
    Jagiellonian University, Krakow.
    Kosek, M.
    Jagiellonian University, Krakow.
    A note on Siciak-Łojasiewicz condition for totally disconnected attractors2008Report (Other academic)
  • 9. Bialas-Ciez, L.
    et al.
    Kosek, M.
    How to construct totally disconnected Markov sets?2009Report (Other academic)
  • 10.
    Bråting, Kajsa
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematics I -V.
    A Study of the Development of Concepts in Mathematics2004Licentiate thesis, comprehensive summary (Other academic)
  • 11.
    Darpö, Erik
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
    Some modern developments in the theory of real division algebras2008Report (Other academic)
  • 12.
    Darpö, Erik
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
    Cuenca Mira, José Antonio
    Dieterich, Ernst
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
    Classification of the Finite Dimensional Absolute Valued Algebras having a Non-Zero Central Idempotent or a One-Sided Unity2009Report (Other academic)
  • 13.
    Darpö, Erik
    et al.
    University of Oxford.
    Dieterich, Ernst
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
    The double sign of a real division algebra of finite dimension greater than one2011Report (Other academic)
    Abstract [en]

    For any real division algebra A of finite dimension greater than one, the signs of the determinants of left multiplication and right multiplication by an element a E A \ {0} are shown to form an invariant of A, called its double sign. For each n E {2, 4, 8}, the double sign causes the category Dn of all n-dimensional real division algebras to decompose into four blocks. The structures of these blocks are closely related, and their relationship is made precise for a sample of full subcategories of Dn.

  • 14.
    Darpö, Erik
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
    Hershend, Martin
    On the representation ring of the polynomial algebra over a perfect field2008Report (Other academic)
  • 15.
    Dieterich, Ernst
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
    A general approach to finite dimensional division algebras2011Report (Other academic)
    Abstract [en]

    We present a short and rather self-contained introduction to the theory of finite dimensional division algebras, setting out from the basic definitions and leading up to recent results and current directions of research. In sections 2-3 we develop the general theory over an arbitrary ground field k, with emphasis on the trichotomy of fields imposed by the dimensions in which a division algebra exists, the groupoid structure of the level subcategories Dn(k), and the role played by the irreducible morphisms. Sections 4-5 deal with the classical case of real division algebras, emphasizing the double sign decomposition of the level subcategories Dn(R) for n E {2, 4, 8} and the problem of describing their blocks, along with an account of known partial solutions to this problem.

  • 16.
    Dieterich, Ernst
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
    Rubinsztein, Ryszard
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
    The Degree of an Eight-Dimensional Real Quadratic Division Algebra is 1, 3, or 52009Report (Other academic)
  • 17.
    Dimitroglou Rizell, Georgios
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
    Knotted Legendrian surfaces with few Reeb chords2010Licentiate thesis, monograph (Other academic)
  • 18.
    Dyrssen, Hannah
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory.
    Option Pricing in Jump-to-Default Models2015Licentiate thesis, comprehensive summary (Other academic)
  • 19. Eklund, Martin
    et al.
    Zwanzig, Silvelyn
    An extension to the variable selection method SimSel to test the relevance of the selected variables2009Report (Other (popular science, discussion, etc.))
  • 20.
    Enstedt, Mattias
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
    On the existence and non-existence of a solution to the Hartree-Fock equations with an external magnetic field2007Licentiate thesis, monograph (Other academic)
  • 21.
    Enstedt, Mattias
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
    Melgaard, Michael
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
    Existence of infinitely many distinct solutions to the quasi-relativistic Hartree-Fock equations2009Report (Other academic)
  • 22.
    Enstedt, Mattias
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
    Tintarev, Kyril
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
    Weighted spectral gap for magnetic Schrödinger operator with a potential term2008Report (Other academic)
  • 23.
    Eriksson, Måns
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Two simple tests for normality with high power2010Report (Other academic)
    Abstract [en]

    We derive explicit expressions for the correlation coefficients between the sample mean and the sample variance and between the sample mean and the third central sample moment in terms of sample moments. Using these we show that two tests for normality, proposed by Lin and Mudholkar (1980) and Mudholkar et al. (2002), can be simplified by using moment estimators; particularly the sample skewness and kurtosis; rather than the jackknife estimators previously used. In an extensive simulation power study the tests exhibit higher power than some common tests for normality against a wide range of distributions.

  • 24.
    Forsberg, Love
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
    On Effective Representations of Path Semigroups and Multi-Multisemigroups2016Licentiate thesis, comprehensive summary (Other academic)
    List of papers
    1. Effective representations of path semigroups
    Open this publication in new window or tab >>Effective representations of path semigroups
    2016 (English)In: Semigroup Forum, ISSN 0037-1912, E-ISSN 1432-2137, Vol. 92, no 2, p. 449-459Article in journal (Refereed) Published
    Abstract [en]

    We give formulas which determine the effective dimensions of path semigroups over an uncountable field and of truncated path semigroups over a field which is uncountable or of characteristic zero.

    Keywords
    path semigroup, effective dimension, quiver, matrix representation
    National Category
    Algebra and Logic
    Research subject
    Mathematics
    Identifiers
    urn:nbn:se:uu:diva-275205 (URN)10.1007/s00233-015-9697-1 (DOI)000372436200007 ()
    Available from: 2016-02-01 Created: 2016-02-01 Last updated: 2017-11-30Bibliographically approved
    2. Multisemigroups with multiplicities and complete ordered semi-rings
    Open this publication in new window or tab >>Multisemigroups with multiplicities and complete ordered semi-rings
    2017 (English)In: Beitraege zur Algebra und Geometrie, ISSN 0138-4821, E-ISSN 2191-0383, Vol. 58, no 2, p. 405-426Article in journal (Refereed) Published
    Abstract [en]

    Motivated by the apperance of multisemigroups in the study of additive 2-categories, we define and investigate the notion of a multisemigroup with multiplicities. This notion seems to be better siutable for applications in higher representation theory.

    Place, publisher, year, edition, pages
    Berlin: Springer, 2017
    Keywords
    Multi-multisemigroup, multisemigroup, 2-category
    National Category
    Algebra and Logic
    Research subject
    Mathematics
    Identifiers
    urn:nbn:se:uu:diva-275206 (URN)10.1007/s13366-016-0320-8 (DOI)000431549600012 ()
    Available from: 2016-02-01 Created: 2016-02-01 Last updated: 2018-07-05Bibliographically approved
  • 25.
    Frisk Dubsky, Brendan
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
    On the Koszulity of some quiver algebras2016Licentiate thesis, comprehensive summary (Other academic)
    List of papers
    1. Koszulity of some path categories
    Open this publication in new window or tab >>Koszulity of some path categories
    2017 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 45, no 9, p. 4084-4092Article in journal (Refereed) Published
    Abstract [en]

    We prove Koszulity of certain linear path categories obtained from connected graphs with some infinite directed walk. These categories can be viewed as locally quadratic dual to preprojective algebras.

    Place, publisher, year, edition, pages
    Taylor & Francis, 2017
    Keywords
    Koszul algebras
    National Category
    Algebra and Logic
    Research subject
    Mathematics
    Identifiers
    urn:nbn:se:uu:diva-303546 (URN)10.1080/00927872.2016.1260727 (DOI)000399458900033 ()
    Available from: 2016-09-20 Created: 2016-09-20 Last updated: 2018-10-18Bibliographically approved
    2. Incidence category of the Young lattice, injections between finite sets, and Koszulity
    Open this publication in new window or tab >>Incidence category of the Young lattice, injections between finite sets, and Koszulity
    (English)Article in journal (Other academic) Submitted
    Abstract [en]

    We study the quadratic quotients of the incidence category of the Young lattice defined using the zero relations corresponding to adding two boxes to the same row, or to the same column or both. We show that the latter quotient corresponds to the Koszul dual of the original incidence category while the first two quotients are, in a natural way, Koszul duals of each other, hence they are in particular Koszul self-dual. Both of these two quotients are known to be basic representatives in the Morita equivalence class of the category of injections between finite sets. We also present a new, rather direct, argument establishing this Morita equivalence.

    National Category
    Algebra and Logic
    Research subject
    Mathematics
    Identifiers
    urn:nbn:se:uu:diva-303704 (URN)
    Available from: 2016-09-22 Created: 2016-09-22 Last updated: 2018-10-18
  • 26.
    Garner, Richard
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
    A homotopy-theoretic universal property of Leinster’s operad for weak ω-categories2008Report (Other academic)
  • 27.
    Garner, Richard
    Cambridge.
    Homomorphisms of higher categories2008Report (Other academic)
  • 28.
    Garner, Richard
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
    On the strength of dependent products in the type theory of Martin-Löf2008Report (Other academic)
  • 29.
    Garner, Richard
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
    Two-dimensional models of type theory2008Report (Other academic)
  • 30.
    Garner, Richard
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
    Gambino, Nicola
    The identity type weak factorisation system2008Report (Other academic)
  • 31.
    Garner, Richard
    et al.
    Cambridge.
    van den Berg, Benno
    Darmstadt.
    Types are weak ω-groupoids2008Report (Other academic)
  • 32.
    Gut, Allan
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Anscombe’s theorem 60 years later2011Report (Other academic)
    Abstract [en]

    The point of departure of the present paper is Anscombe's seminal 1952-paper on limit theo-rems for randomly indexed processes. We discuss the importance of this result and mentionsome of its impact, mainly on stopped random walks. The main aim of the paper is to illus-trate the beauty and eciency of, what will be called, the Stopped Random Walk-method (theSRW-method).

  • 33.
    Gut, Allan
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Limit theorems for a generalized St. Petersburg game2009Report (Other academic)
  • 34.
    Gut, Allan
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Renewal theory with a trend2010Report (Other academic)
  • 35.
    Gut, Allan
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Strong limit theorems for random fields2011Report (Other academic)
  • 36.
    Gut, Allan
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Hüsler, Jürg
    Shock models2009Report (Other academic)
  • 37.
    Gut, Allan
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Jonsson, Fredrik
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Stadtmüller, Ulrich
    Ulm.
    Between the LIL and the LSL2008Report (Other academic)
  • 38.
    Gut, Allan
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Mukhopadhyay, Nitis
    University of Connecticut, Storrs.
    On Asymptotic and Strict Monotonicity of a Sharper Lower Bound for Student’s t Percentiles2008Report (Other academic)
  • 39.
    Gut, Allan
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Stadtmüller, Ulrich
    Ulm.
    An asymmetric Marcinkiewicz-Zygmund LLN for random fields2008Report (Other academic)
  • 40.
    Gut, Allan
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Stadtmüller, Ulrich
    An intermediate Baum-Katz theorem2011Report (Other academic)
  • 41.
    Gut, Allan
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Stadtmüller, Ulrich
    Ulm.
    Cesàro summation for random fields2008Report (Other academic)
  • 42.
    Gut, Allan
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Stadtmüller, Ulrich
    University of Ulm.
    Laws of the single logarithm for delayed sums of random fields II2008Report (Other academic)
  • 43.
    Gut, Allan
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Stadtmüller, Ulrich
    On the Hsu-Robbins-Erdős-Spitzer-Baum-Katz theorem for random fields2011Report (Other academic)
  • 44.
    Gut, Allan
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Stadtmüller, Ulrich
    On the LSL for random fields2009Report (Other academic)
  • 45.
    Gut, Allan
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Stadtmüller, Ulrich
    On the strong law of large numbers fordelayed sums and random fields2009Report (Other academic)
  • 46.
    Gut, Allan
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Steinebach, Josef
    Asymptotics for Increments of Stopped Renewal Processes2009Report (Other academic)
  • 47.
    Gut, Allan
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Steinebach, Josef
    Convergence rates in precise asymptotics2011Report (Other academic)
  • 48.
    Gut, Allan
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Steinebach, Josef
    University of Cologne.
    Convergence rates in precise asymptotics II2011Report (Other academic)
  • 49.
    Gut, Allan
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Steinebach, Josef
    University of Cologne.
    Precise asymptotics: a general approach2011Report (Other academic)
    Abstract [en]

    The legendary 1947-paper by Hsu and Robbins, in which the authors introduced the concept of \complete convergence", generated a series of papers culminating in the like-wise famous Baum-Katz 1965-theorem, which provided necessary and su_cient conditions for the convergence of the series P1 n=1 nr=p2P(jSnj _ "n1=p) for suitable values of r and p, in which Sn denotes the n-th partial sum of an i.i.d. sequence. Heyde followed up the topic in his 1975-paper in that he investigated the rate at which such sums tend to in_nity as " & 0 (for the case r = 2 and p = 1). The remaining cases have been taken care of later under the heading \precise asymptotics". An abundance of papers have since then appeared with various extensions and modi_cations of the i.i.d.-setting. The aim of the present paper is to show that the basis for the proof is essentially the same throughout, and to collect a number of examples. We close by mentioning that Klesov, in 1994, initiated work on rates in the sense that he determined the rate, as " & 0, at which the discrepancy between such sums and their \Baum-Katz limit" converges to a nontrivial quantity for Heyde's theorem. His result has recently been extended to the complete set of r- and p-values by the present authors.

  • 50.
    Gut, Allan
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
    Steinebach, Josef
    Köln.
    Truncated sequential change-point detection based on renewal counting processes II2008Report (Other academic)
123 1 - 50 of 140
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