Throughout this work, a lattice model was used to capture the behavior of polymer systems. First, the phase behavior of solutions which contain polymer solute in an alkane solvent was investigated. The phase diagrams of these solutions are...
We present a number of findings concerning groupoid dynamical systems and groupoid crossed products. The primary result is an identification of the spectrum of the groupoid crossed product when the groupoid has continuously varying abelian...
DAM Dec '83 p.65 class '54; Pictured in front of the new Nelson A. Rockefeller Center for the Social Sciences are 12 of the many members of the class of 1954 on hand for the center's dedication in late September. From left to right, bottom row, are...
The men who make it go --The Carnival Committee: Left to Right Joe Robinson Marve Chandler Peter Knight Fergy Murch Fighter Curtis Dave Larrabee Bud Carter Ned Disque Dan Kraft Dan Hatch Brandy Marsh Pete Sawyer
Picture taken at Coolidge May 31, 1973 back row (standing): [left to right] John Lincoln, Peter Bien, Alan Gaylord, Francis Childs, David Wykes, Ned Perrin, Stearns Morse, darrel Mansell, Arthur Jensen, Sid Lea, Henry Williams, Bob Siegel, Jim...
Back row left to right Burt Connen, Ned Carter, Ernest Corner front row left to right Charlie Lewin, Angelo "Pa" Tanzi and Hal Brown Hunting trip- for two weeks to Dummer NH
Thermodynamics, and the classic balance between entropy and enthalpy, provides a proverbial zoo of exotic phase behaviour that chemists can harness to create new materials out of simple liquids and polymers. The diversity of self-assembling...
In this thesis, we characterize and enumerate the permutations which are realized by the orbits of signed shifts, a family of discrete dynamical systems on words. The permutations, which are called patterns of the signed shifts, are given by the...
Robustness to genetic perturbations is a fundamental property of all living things. The genetic code is degenerate, RNA secondary structure is robust to sequence changes, and protein structure is robust to amino acid substitutions. Complex systems...
Earlier work has suggested that various neurological or neuropsychiatric disorders may result in characteristic spatial patterns in brain activation, potentially allowing their detection from maps of brain activity under different conditions....
Coherent states. Quantum field theory. Nonlinear theories.
In this thesis we study the properties of time-dependent, nontopological configurations and their effect on the macroscopic properties of a system described by a nonlinear field theory. These structures seem to be ubiquitous in relativistic field...
Partially ordered sets and permutations are combinatorial structures having vast applications in theoretical computer science. In this thesis, we study various computational and algorithmic problems related to these structures. The first chapter of...
Siegel domains. Modular groups. Hecke algebras. Forms
In the 1960s Satake proved the existence of an isomorphism between the local Hecke algebra and the ring of polynomials invariant under the action of the signed permutation group W n (the Weyl group associated to Sp n over a local field)....
This thesis describes the development of a cell free system for the study of the organization of microtubules into mitotic asters that lack conventional centrosomes and the use of this system, in combination with in vivo approaches, for the...
Given graded C *-algebras A and B , we define the notion of an admissible pair ([straight phi], D ) for A and B . Associated to an admissible pair ([straight phi], D ) is an equivalence class of asymptotic morphisms from A to B . Under certain...
Multisensor data fusion. Sensor networks. Plumes (Fluid dynamics). Automatic tracking. Signal processing -- Digital techniques -- Mathematics.
The work in this thesis deals with a novel approach for detecting and tracking chemical plumes in distributed sensor networks. The ultimate objective is solving the inverse location problem: given unknown sources released at unknown times, the...
A metric structure on a set gives a concept of distance between any two elements of that set, and it induces a topology. In this thesis, we provide several ways to put a metric structure on the collection of CW complexes. We accomplish this by...
A polynomial is a product of distinct cyclotomic polynomials if and only if it is a divisor over [Special characters omitted.] [x ] of xn - 1 for some positive integer n. In this thesis, we will examine two natural questions concerning the divisors...
There is a renewed interest in the study of the radiation belts with the recent launch of the Van Allen Probes satellites. The mechanisms that drive the global response of the radiation belts to geomagnetic storms are not yet well understood....
We examine variations of cops and robbers games on graphs. Our goals are to introduce some randomness into their study, and to estimate (expected) capture time. We show that a cop chasing a random walker can capture him in expected time n + o(n)....
June 1919; First Row: Bard, Blakely, Robie, Andersen, Kendall, Wellman, Ferguson; Second Row: Blair, Doane, Clark, E. B. Davis, Bugbee, Dearborn, Bradley; Third Row: O. S. Davis, C. D. Hazen; Fourth Row: Wheat, Sullivan, Warden, Redfield, Moulton,...
Acquired in 1960 by gift of the files of the class of 1886; Class of 1886 assembling for their class picture at the home of President and Mrs. Hopkins, Dartmouth College, Hanover NH on the occasion of their 50th anniversary of graduation June 13...
The grouping when this picture was taken was not made with reference to ease in labelling individuals. We regret that several wives and children could not be found when the photographer arrived.