Oct

24

2016

The idea of recasting well-posedness problems for non-linear

parabolic-type PDE in terms of averages of associated multiplicative

cascades goes back to Le Jan and Sznitman's 1997 paper on Navier-Stokes

equation (NSE). More recently, in collaboration with N. Michalowski, E.

Waymire, and E. Thomann, we looked into the connection between uniqueness of

self-symilar (symmetry-preserving) solutions of 3D NSE and uniqueness for

general solutions. In this work we explore these ideas on a much simpler

Oct

24

2016

In (discrete) dynamical systems, the basic object of study is a function T from a set X into itself. Typically, one is interested in studying the iteration of the function T in combination with whatever structure is possessed by X, say analytic, topological, algebraic, probabilistic, number-theoretic, or some combination thereof. I am particularly interested in dynamical systems on topological spaces whose structure comes from a field K endowed with an absolute value satisfying the strong triangle inequality. Such spaces arise naturally in number theory and algebraic geometry.

Oct

24

2016

Pacific University will host two mathematics talks and an art exhibition by Frank Farris.

Public Lectures Monday, October 24, 2016 5 p.m. – 6 p.m.

Taylor-Meade Auditorium on the Forest Grove campus

Talk Title: Creating Symmetry: A New Path to Patterns Reception and book signing to follow

Tuesday, October 25, 2016 11:20 a.m. – 12:10 p.m.

Taylor-Meade Auditorium on the Forest Grove campus

Talk Title: You Can Create Symmetry

Oct

25

2016

Oct

26

2016

We consider the phenomenon of partial migration which is exhibited by populations in which some individuals migrate between habitats during their lifetime, but others do not. First, using an adaptive dynamics approach, we show that partial migration can be explained on the basis of negative density dependence in the per capita fertilities alone, provided that this density dependence is attenuated for increasing abundances of the subtypes that make up the population.