12,971 research outputs found
On the building dimension of closed cones and Almgren's stratification principle
In this paper we disprove a conjecture stated in [4] on the equality of two
notions of dimension for closed cones. Moreover, we answer in the negative to
the following question, raised in the same paper. Given a compact family
of closed cones and a set such that every blow-up of at
every point is contained in some element of , is it true
that the dimension of is smaller than or equal to the largest dimension of
a vector space contained is some element of
Khinchin theorem for interval exchange transformations
We define a diophantine condition for interval exchange transformations
(i.e.t.s). When the number of intervals is two, that is for rotations on the
circle, our condition coincides with classical Khinchin condition. We prove for
i.e.t.s the same dichotomy as in Khinchin Theorem. We also develop several
results relating the Rauzy-Veech algorithm with homogeneous approximations for
i.e.t.s.Comment: 53 page
Residually many BV homeomorphisms map a null set onto a set of full measure
Let be the unit square in . We prove that in a
suitable complete metric space of homeomorphisms with
, the generical homeomorphism (in the sense of Baire
categories) maps a null set in a set of full measure and vice versa. Moreover
we observe that, for , in the most reasonable complete metric space
for such problem, the family of homemomorphisms satisfying the above
property is of first category, instead
Lusin type theorems for Radon measures
We add to the literature the following observation. If is a singular
measure on which assigns measure zero to every porous set and
is a Lipschitz function which is
non-differentiable -a.e. then for every function
it holds In other words the Lusin type approximation property of
Lipschitz functions with functions does not hold with respect to a
general Radon measure
Teaching Value-based Care: A Framework for a Family Medicine Resident Clinic
Milton Family Practice is home to the University of Vermontâs Family Medicine residency program. As efforts to improve the value of health care increase, graduate medical education accreditation organizations may begin to reward and penalize residency programs based on their commitment to teaching and providing value-based care. Residency programs currently lack a clear strategy to prepare residents to assess and deliver value-based care. In this presentation, I present the VALUE Framework (Patel, Davis, & Lypson 2012) for the University of Vermont Family Medicine residency program to teach residents to assess and deliver value-based care for their patients during preceptor sessions.https://scholarworks.uvm.edu/fmclerk/1329/thumbnail.jp
The limits to growth then and now
In this paper the indications of the 1972 report of the club of Rome about the relationship between environment and economic growth are reviewed and compared to the ideas debated nowadays on the same topic. The implications of the stages of growth approach and of the economic growth models are considered. Market failure has a central role when the environment is considered. Hence the main problems of policy design and evaluation and their implications for international cooperation, as studied in a burgeoning literature, are presented.
A multi-material transport problem and its convex relaxation via rectifiable -currents
In this paper we study a variant of the branched transportation problem, that
we call multi-material transport problem. This is a transportation problem,
where distinct commodities are transported simultaneously along a network. The
cost of the transportation depends on the network used to move the masses, as
it is common in models studied in branched transportation. The main novelty is
that in our model the cost per unit length of the network does not depend only
on the total flow, but on the actual quantity of each commodity. This allows to
take into account different interactions between the transported goods. We
propose an Eulerian formulation of the discrete problem, describing the flow of
each commodity through every point of the network. We provide minimal
assumptions on the cost, under which existence of solutions can be proved.
Moreover, we prove that, under mild additional assumptions, the problem can be
rephrased as a mass minimization problem in a class of rectifiable currents
with coefficients in a group, allowing to introduce a notion of calibration.
The latter result is new even in the well studied framework of the
"single-material" branched transportation.Comment: Accepted: SIAM J. Math. Ana
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