17,279 research outputs found
Effect of a science communication event on students’ attitudes towards science and technology
Peer ReviewedPostprint (author's final draft
Curriculum Guidelines for Undergraduate Programs in Data Science
The Park City Math Institute (PCMI) 2016 Summer Undergraduate Faculty Program
met for the purpose of composing guidelines for undergraduate programs in Data
Science. The group consisted of 25 undergraduate faculty from a variety of
institutions in the U.S., primarily from the disciplines of mathematics,
statistics and computer science. These guidelines are meant to provide some
structure for institutions planning for or revising a major in Data Science
Zero-one law for directional transience of one-dimensional random walks in dynamic random environments
We prove the trichotomy between transience to the right, transience to the
left and recurrence of one-dimensional nearest-neighbour random walks in
dynamic random environments under fairly general assumptions, namely:
stationarity under space-time translations, ergodicity under spatial
translations, and a mild ellipticity condition. In particular, the result
applies to general uniformly elliptic models and also to a large class of
non-uniformly elliptic cases that are i.i.d. in space and Markovian in time. An
immediate consequence is the recurrence of models that are symmetric with
respect to reflection through the origin.Comment: 14 pages, 1 figure. Added Corollary 2.
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