16,317 research outputs found
Regularization of Discontinuous Foliations: Blowing up and Sliding Conditions via Fenichel Theory
We study the regularization of an oriented 1-foliation on where is a smooth manifold and is a
closed subset, which can be interpreted as the discontinuity locus of
. In the spirit of Filippov's work, we define a sliding and sewing
dynamics on the discontinuity locus as some sort of limit of the
dynamics of a nearby smooth 1-foliation and obtain conditions to identify
whether a point belongs to the sliding or sewing regions.Comment: 32 page
Global Analytic Solutions for the Nonlinear Schr\"odinger Equation
We prove the existence of global analytic solutions to the nonlinear
Schr\"odinger equation in one dimension for a certain type of analytic initial
data in .Comment: Corrected errors in proofs in section
A Remark on Unconditional Uniqueness in the Chern-Simons-Higgs Model
The solution of the Chern-Simons-Higgs model in Lorenz gauge with data for
the potential in and for the Higgs field in is
shown to be unique in the natural space for , where corresponds to finite energy. Huh and Oh
recently proved local well-posedness for , but uniqueness was obtained
only in a proper subspace of Bourgain type. We prove that any solution in
must in fact belong to the space
, hence it is the unique solution obtained by Huh and Oh
Generalized Flow-Box property for singular foliations
We introduce a notion of generalized Flow-Box property valid for general
singular distributions and sub-varieties (based on a dynamical interpretation).
Just as in the usual Flow-Box Theorem, we characterize geometrical and
algebraic conditions of (quasi) transversality in order for an analytic
sub-variety (not necessarily regular) to be a section of a line foliation.
We also discuss the case of more general foliations.
This study is originally motivated by a question of Jean-Francois Mattei
(concerning the strengthening of a Theorem of Mattei) about the existence of
local slices for a (non-compact) Lie group action.Comment: Changes in Section
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Trans Tessituras: Confounding, Unbearable, and Black Transgender Voices in Luso-Afro-Brazilian Popular Music
This dissertation shows how gay, trans and queer performers in Brazil, Portugal, and Angola, working in traditionally misogynistic, homo- and transphobic popular music genres, have successfully claimed and refigured those genres and repertoires through iterations of transgender voices and bodies. I show how Pabllo Vittar, Fado Bicha and Titica refigure normative gendered conventions of sex and song through trans formations of popular music genres. I locate them within a genealogy of queer Luso-Afro-Brazilian popular music practices and performances that deploy trans formations of voice, body, and repertoire. I trace a genealogy of transgender voice in Brazilian popular music to Ney Matogrosso’s 1975 debut release, through which I reveal a cacophony of queer, indigenous and Afro-Brazilian intersections; and in Portuguese popular music to António Variações 1982 debut, through whom I trace a fado genealogy of Afro-diasporic cultural practices, gender transgression and sexual deviance. Finally, I locate Titica’s music in practices of the black queer diaspora as a refiguring of Angolan postcolonial aesthetics. Together, these artists and their music offer a queer Luso-Afro-Brazilian diaspora in spectacular popular music formations that transit beside and beyond the Portuguese-speaking world, unbound by it, and refiguring hegemonic Luso-Afro-Brazilian discourses of gender, sexuality, race and nation
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