Jordan curves and funnel sections

We study the case when solution of an ODE at a given initial condition fail to be unique and investigate what are the possible time-1 sections of the `solution funnel'. Along the way we give construction of a natural complete metric on the space of Jordan curves and prove that the generic Jordan curve is nowhere pierceable by arcs of finite length.Comment: 22 pages, 16 figure

DEVELOPMENT AND EXECUTION OF A PUBLIC POLICY EDUCATION PROGRAM: REQUIREMENTS FOR EFFECTIVE PUBLIC POLICY EDUCATION

Teaching/Communication/Extension/Profession,

H\"older foliations, revisited

We investigate transverse H\"older regularity of some canonical leaf conjugacies in partially hyperbolic dynamical systems and transverse H\"older regularity of some invariant foliations. Our results validate claims made elsewhere in the literature.Comment: 52 pages, to appear in Journal of Modern Dynamic

APPROACH E: CHANGING MARKET SUPPLY BY RESTRICTING INPUTS

Agricultural and Food Policy,

EDUCATIONAL PROGRAMS FOR COMMERCIAL AGRICULTURE AND AGRIBUSINESS

Agribusiness,