2,338 research outputs found
Start with the Self: Modelling Constructive Self-Statements and Growing with Others
I explore in this paper the importance of starting with the self
to model constructive self-statements and create both individual
and collective healing. My intended audience within this paper
is student affairs professionals of color who exist in predominantly
white institutions (PWIs) of higher education. I ground this paper
in my lived experiences as a queer and 1st generation student
affairs graduate student of color at a PWI. Within my writing, I
detail practices that help me manifest constructive self-statements,
to share with other student affairs professionals of color to practice
healing self-statements for themselves. Lastly, I conclude with
the ways practicing constructive self-statements implicates social
justice as student affairs professionals
Percival Lagrangian approach to Aubry-Mather theory
We present some streamlined proofs of some of the basic results in
Aubry-Mather theory (existence of quasi-periodic minimizers, multiplicity
results when there are gaps among minimizers) based on the study of hull
functions. We present results in arbitrary number of dimensions
We also compare the proofs and results with those obtained in other
formalisms
Localized Stable Manifolds for Whiskered Tori in Coupled Map Lattices with Decaying Interaction
In this paper we consider lattice systems coupled by local interactions. We
prove invariant manifold theorems for whiskered tori (we recall that whiskered
tori are quasi-periodic solutions with exponentially contracting and expanding
directions in the linearized system). The invariant manifolds we construct
generalize the usual (strong) (un) stable manifolds and allow us to consider
also non-resonant manifolds. We show that if the whiskered tori are localized
near a collection of specific sites, then so are the invariant manifolds.
We recall that the existence of localized whiskered tori has recently been
proven for symplectic maps and flows in Fontich et. al. (submitted), but our
results do not need that the systems are symplectic. For simplicity we will
present first the main results for maps, but we will show tha the result for
maps imply the results for flows. It is also true that the results for flows
can be proved directly following the same ideas.Comment: This version corrects a bibliographical typo that appears in the
version published in Annales Henri Poincare: Reference [FdlLS12] was wrongly
listed by the publisher as "submitted to Jour. Diff. Equ." in the published
version. Reference [FdlLS12] has not been submitted to Jour. Diff. Eq
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