Alex Usvyatsov's Homepage
"Never shame to hear what you have nobly done"

 
Publications and preprints

Accepted and published
  • S. Shelah, A. Usvyatsov, "Banach spaces and groups - order properties and universal models", Israel J. Math., 152, 245-270.
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  • S. Shelah, A. Usvyatsov, "More on SOP_1 and SOP_2", Ann. Pure Appl. Logic 155 (2008), no. 1, 16--31.
    dvi    ps    pdf    abstract   

  • I. Ben-Yaacov, A. Usvyatsov, "Continuous first order logic and local stability", to appear in Transactions of AMS.
    dvi    ps    pdf   

  • I. Ben-Yaacov, A.J.Berenstein, C.W.Henson, A. Usvyatsov, "Model theory for metric structures", Model theory with Applications to Algebra and Analysis Vol. 2 (Eds. Zoe Chatzidakis, Dugald Macpherson, Anand Pillay, Alex Wilkie) London Math Soc. Lecture Note Series Nr 350, Cambridge Univ Press 2008.
    pdf   

  • I. Ben-Yaacov, A. Usvyatsov, "On d-finiteness in continuous structures", Fundamenta Mathematicæ, volume 194 (2007) 67-88.
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  • A. Usvyatsov "Generic separable metric structures", Topology and its Applications, 155 (2008), 1607-1617.
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  • A. Usvyatsov "On generically stable types in dependent theories", J. Symbolic Logic Volume 74, Issue 1 (2009), 216-250.
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  • S. Shelah, A. Usvyatsov, "Model theoretic stability and categoricity for complete metric spaces", to appear in the Israel J. Math.
    ps    pdf    abstract   
Submitted
  • A. Onshuus, A. Usvyatsov "On dp-minimality, strong dependence and weight", submitted.
    dvi    ps    pdf   

  • A. Usvyatsov "Morley sequences in dependent theories", submitted.
    dvi    ps    pdf   

  • A. Onshuus, A. Usvyatsov "Orthogonality and domination in unstable theories", submitted.
    dvi    ps    pdf   

  • A. Onshuus, A. Usvyatsov "Stable domination and weight", submitted.
    dvi    ps    pdf   



Preprints
  • I. Ben-Yaacov, A. Usvyatsov, M. Zadka "Generic Automorphism of a Hilbert Space"
    dvi    ps    pdf   

  • S. Shelah, A. Usvyatsov "Unstable classes of metric structures"
    dvi    ps    pdf   

  • S. Shelah, A. Usvyatsov "Minimal types in stable Banach spaces"
    dvi    ps    pdf   

  • A. Usvyatsov "Stability and unidimensionality in monster metric spaces"
    dvi    ps    pdf   

My PhD Thesis (in Hebrew)
  • "Stability and Categoricity for metric structures"
    dvi    ps    pdf   

Some talks - slides and notes
  • Notes for SLM on Hrushovski's paper "Stable group theory and approximate subgroups"
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  • A talk at BGU Math Colloquium on Mimimal types over Banach spaces and Henson's Conjecture, April 2009
    slides   

  • A similar (more technical) talk at UCLA Logic Colloquium, November 2008
    slides   

  • Notes for my talks in Banff in February 2009
    pdf   

  • A talk on Morley sequences in dependent theories at the conference "Around Classification Theory" in Leeds, June 2008
    slides   

  • A tutorial on Dependent theories in Bogota, April 2008
    slides   

  • A talk on Generic stability at the AMS meeting in Chicago, September 2007
    slides   

  • An old talk on Model theory of metric structures at the Logic Colloquium at Berkeley
    slides   

 

 


© Alex Usvyatsov