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X-WR-CALNAME:Brown Bag Seminar
X-WR-CALDESC:Brown Bag Seminar Calendar, University of Arizona Program in A
 pplied Mathematics
X-WR-TIMEZONE:US/Arizona
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TZID:US/Arizona
BEGIN:STANDARD
DTSTART:19700101T000000
TZOFFSETFROM:-0700
TZOFFSETTO:-0700
TZNAME:MST
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BEGIN:VEVENT
CATEGORIES:Brown Bag
DESCRIPTION:Paleoclimatologists must rely on natural proxy records\, such a
 s tree rings\, to make inferences about past climate. Classically\, statis
 tical relationships between the proxy signal and climate are calibrated du
 ring times when instrumental records of climate exist. These relationships
  are then extrapolated back into the past\, when only the proxy records ex
 ist\, to reconstruct climate.\n\nIn this talk\, I will present Bayes's hie
 rarchical models (BHMs) as a 'new and improved' climate reconstruction met
 hod. I will argue that BHMs provide a framework in which information from 
 multiple proxy signals can be combined more naturally\, uncertainty can be
  quantified more rigorously and knowledge of the mechanistic relationships
  between proxy and climate can be exploited.\n
DTSTAMP:20080925T200658Z
DTSTART;TZID=US/Arizona:20080926T120000
DURATION:PT1H
LOCATION:Math 402
SUMMARY:Suz Tolwinski: Bayesian Hierarchical Models for Reconstructions of 
 Climate
UID:20080925T220658CEST-XcJr5IuRT5@appliedmath.arizona.edu
END:VEVENT
BEGIN:VEVENT
CATEGORIES:Brown Bag
DESCRIPTION:What do spacing probabilities of the Riemann zeta function\, re
 sonances of nuclear scattering\, and the bus system in Cuernavaca\, Mexico
 \, have in common?  Each of these has been modeled using random matrices. 
 The goal of this talk is to sketch the crazy connection between random mat
 rices and orthogonal polynomials. Using this connection we will then write
  down formulas for some of the important statistical quantities that arise
  in the problems mentioned above.\n
DTSTAMP:20080925T200658Z
DTSTART;TZID=US/Arizona:20080919T120000
DURATION:PT1H
LOCATION:Math 402
SUMMARY:Robert Jenkins: Random Matrices and Orthogonal Polynomials
UID:20080925T220658CEST-TAuxrBXeg0@appliedmath.arizona.edu
END:VEVENT
BEGIN:VEVENT
CATEGORIES:Brown Bag
DESCRIPTION:Dune modeling efforts are currently able to replicate isolated 
 dune structures through consistent and reasonable parameter manipulation. 
 However\, these models often assume simple\, steady environmental conditio
 ns. Additionally\, they do not yield information about the apparent (ir)re
 gularity and limitations that appear in actual dune fields. To understand 
 how dunes evolve in the presence of other dunes and in complicated natural
  environments\, we must consider models of dunes in complicated natural en
 vironments\, and then relate that information into models of the higher-or
 der structure: the dune field itself.\n\nThis past summer\, I considered t
 he larger-scale problem to isolate the influential elements in dune field 
 evolution models. The aim was to address the open question about whether\,
  in the presence of steady environmental conditions\, dune fields exhibit 
 self-organizing behavior or will continually coalesce. I was able to show 
 that both how dunes are initialized at the start of the field and how dune
 s exchange sand through collisions are vitally important in predicting the
  long-term dynamics of a dune field. I am now back to considering the dune
  model\, as I try to understand what processes and parameters are importan
 t in dune nucleation\, and how dunes interact with variable topography and
  with other dunes.\n\nThis talk will present an overview of my work on bot
 h dune and dune field models. The mathematics I use is fairly basic\, and 
 should be accessible to all graduate students.
DTSTAMP:20080925T200658Z
DTSTART;TZID=US/Arizona:20080912T120000
DURATION:PT1H
LOCATION:Math 402
SUMMARY:Serina Diniega: Dunes and Dune Fields: What Sets their Sizes?
UID:20080925T220658CEST-kMuPd459Gx@appliedmath.arizona.edu
END:VEVENT
BEGIN:VEVENT
CATEGORIES:Brown Bag
DESCRIPTION:The null controllability problem is considered for 2-D plates u
 nder hinged mechanical boundary conditions. The resulting partial differen
 tial equation (PDE) system referred to as a structurally damped equation i
 s considered to obtain optimal rates of blowup for the associated minimal 
 energy function E_2(T)\, as terminal time T->0. The optimal blowup rate is
  O(T3/2)\, which is abnormal\, considering that null controllable PDEs gen
 erally have at least exponential blowup rates. It has been shown\, in a pa
 per by Roberto Trigianni\, that finite dimensional spectral truncations of
  the PDE achieve the same rates. We set out to show that one achieves the 
 same result by using the more complicated finite difference method to appr
 oximate the PDE.
DTSTAMP:20080925T200658Z
DTSTART;TZID=US/Arizona:20080905T120000
DURATION:PT1H
LOCATION:Math 402
SUMMARY:Scott Hottovy: Numerical Approximations on Null Controllability of 
 Structurally Ramped Equations
UID:20080925T220658CEST-vBhceXbaLB@appliedmath.arizona.edu
END:VEVENT
BEGIN:VEVENT
CATEGORIES:Brown Bag
DESCRIPTION:Compact waves are finite-extent solitary waves. In the context 
 of planar Kirchhoff rods with a linear constitutive relation\, such soluti
 ons do not exist since the system is described by the pendulum equation. S
 tepping into the realm of nonlinear elasticity\, however\, the equation be
 comes singular\, uniqueness of solutions no longer holds\, and this proves
  to be a key ingredient for constructing a compact wave.
DTSTAMP:20080925T200658Z
DTSTART;TZID=US/Arizona:20080829T120000
DURATION:PT1H
LOCATION:Math 402
SUMMARY:Bojan Durickovic: Compact Waves on Planar Elastic Rods
UID:20080925T220658CEST-Plltx96AgV@appliedmath.arizona.edu
END:VEVENT
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