Recursos de colección

DSpace at MIT (104.280 recursos)

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Mathematics - Ph.D. / Sc.D.

Mostrando recursos 1 - 20 de 723

  1. Maximality of algebras of holomorphic functions

    Rossi, Hugo
    by Hugo Rossi.

  2. Transport methods and universality for [beta]-ensembles

    Bekerman, Florent
    In this thesis, we investigate the local and global properties of the eigenvalues of [beta]-ensembles. A lot of attention has been drawn recently on the universal properties of [beta]-ensembles, and how their local statistics relate to those of Gaussian ensembles. We use transport methods to prove universality of the eigenvalue gaps in the bulk and at the edge, in the single cut and multicut regimes. In a different direction, we also prove Central Limit Theorems for the linear statistics of [beta]-ensembles at the macroscopic and mesoscopic scales.

  3. Theta functions and division points on Abelian varieties of dimension two

    Grant, David R., MD, FRCSC
    by David R. Grant.

  4. The Picard scheme of a curve and its compactification

    Kleppe, Hans
    by Hans Kleppe.

  5. Link complements and imaginary quadratic number fields

    Baker, Mark David
    by Mark David Baker.

  6. Progressing wave solutions to nonlinear hyperbolic Cauchy problems

    Ritter, Niles David
    by Niles David Ritter.

  7. On evasiveness, permutation embeddings, and mappings on sequences.

    Kwiatkowski, David Joseph
    Thesis. 1975. Ph.D.--Massachusetts Institute of Technology. Dept. of Mathematics.

  8. Regularity aspects of the theory of infinite dimensional representations of Lie groups.

    Poulsen, Niels Kristian Skovhus
    Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1970.

  9. Symplectic singularities, periodic orbits of the billiard ball map, and the obstacle problem

    Magnuson, Alan William
    by Alan William Magnuson.

  10. Pure bending of thin shells of revolution: a nonlinear dislocation problem.

    Smith, William Allan
    Massachusetts Institute of Technology. Dept. of Mathematics. Thesis. 1966. Ph.D.

  11. Parallel repetition of multi-party and quantum games via anchoring and fortification

    Bavarian, Mohammad
    Parallel repetition is a fundamental operation for amplifying the hardness inherent in multiplayer games. Through the efforts of many researchers in the past two decades (e.g. Feige, Kilian, Raz, Holentstein, Rao, Braverman, etc.), parallel repetition of two-player classical games has become relatively well-understood. On the other hand, games with entangled players (quantum games), crucial to the study of quantum non-locality and quantum cryptography, and multi-player games were poorly understood until recently. In this thesis, we resolve some of the major problems regarding the parallel repetition of quantum and multi-player games by establishing the first exponential-rate hardness amplification results for these...

  12. Computing the Lusztig-Vogan bijection

    Rush, David B., Ph. D. Massachusetts Institute of Technology
    Let G be a connected complex reductive algebraic group with Lie algebra g. The Lusztig-Vogan bijection relates two bases for the bounded derived category of G-equivariant coherent sheaves on the nilpotent cone 11 of g. One basis is indexed by ..., the set of dominant weights of G, and the other by [Omega], the set of pairs ... consisting of a nilpotent orbit ... and an irreducible G-equivariant vector bundle ... The existence of the Lusztig-Vogan bijection ... was proven by Bezrukavnikov, and an algorithm computing [gamma] in type A was given by Achar. Herein we present a combinatorial description...

  13. Contributions to recursion theory on higher types (or, a proof of Harrington's conjecture),

    Harrington, Leo Anthony
    by Leo A. Harrington.

  14. Contributions to recursion theory on higher types (or, a proof of Harrington's conjecture),

    Harrington, Leo Anthony
    by Leo A. Harrington.

  15. On the equivalence of two continuous homology theories

    Giever, John Bertram, 1919-
    by John Bertram Giever.

  16. On the equivalence of two continuous homology theories

    Giever, John Bertram, 1919-
    by John Bertram Giever.

  17. On the formula of de Jonquières for multiple contacts.

    Vainsencher, Israel
    Thesis. 1977. Ph.D.--Massachusetts Institute of Technology. Dept. of Mathematics.

  18. On the formula of de Jonquières for multiple contacts.

    Vainsencher, Israel
    Thesis. 1977. Ph.D.--Massachusetts Institute of Technology. Dept. of Mathematics.

  19. Rational matrix differential operators and integrable systems of PDEs

    Carpentier, Sylvain, Ph. D. Massachusetts Institute of Technology
    A key feature of integrability for systems of evolution PDEs ut = F(u), where F lies in a differential algebra of functionals V and u = (U1, ... , ul) depends on one space variable x and time t, is to be part of an infinite hierarchy of generalized symmetries. Recall that V carries a Lie algebra bracket {F, G} = XF(G) - XG(F), where XF denotes the evolutionnary vector field attached to F. In all known examples, these hierarchies are constructed by means of Lenard-Magri sequences: one can find a pair of matrix differential operators (A(a), B(a)) and a...

  20. Rational matrix differential operators and integrable systems of PDEs

    Carpentier, Sylvain, Ph. D. Massachusetts Institute of Technology
    A key feature of integrability for systems of evolution PDEs ut = F(u), where F lies in a differential algebra of functionals V and u = (U1, ... , ul) depends on one space variable x and time t, is to be part of an infinite hierarchy of generalized symmetries. Recall that V carries a Lie algebra bracket {F, G} = XF(G) - XG(F), where XF denotes the evolutionnary vector field attached to F. In all known examples, these hierarchies are constructed by means of Lenard-Magri sequences: one can find a pair of matrix differential operators (A(a), B(a)) and a...

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