We are inviting IDEALS users, both people looking for materials in IDEALS and those who want to deposit their work, to give us feedback on improving this service through an interview. Participants will receive a $20 VISA gift card. Please sign up via https://forms.illinois.edu/sec/4069811 # Browse Dissertations and Theses - Mathematics by Title • (1996) We study some of the complexity classes below P and, in particular, we concentrate on$AC\sp0\subseteq NC\sp1\subseteq L=$LogSpace. We also study the nondeterministic classes$NAC\sp{i}$and$NNC\sp{i},$for$i\ge0,$which ... application/pdf PDF (4MB) • (2013-08-22) In this dissertation we are interested in the study of dynamical systems that display rigidity and weak mixing. We are particularly interested in the topological analogue of rigidity, called uniform rigidity. A map$T$... application/pdf PDF (536kB) • (1961) application/pdf PDF (3MB) • (1957) application/pdf PDF (2MB) • (2008) We then define the units of equivariant spectra in terms of equivariant Gamma-spaces. Thus showing that units of equivariant spectra are equivariant spectra. application/pdf PDF (2MB) • (1995) The whole area of deformations of Galois representations started in 1986 with a ground-breaking paper by Barry Mazur where he established the first existence theorem and some examples in the case of odd two-dimensional ... application/pdf PDF (3MB) • (1989) The Updated Conjugate Subspaces method, an modified quasi-Newton method for solving nonlinear unconstrained minimization problems, has flexibility of choosing different quadratic approximation at each iteration and therefore ... application/pdf PDF (4MB) • (1959) application/pdf PDF (4MB) • (1970) application/pdf PDF (5MB) • (2003) More generally, the thesis considers arbitrary valued fields instead of (k((t)), v), with the Frobenius map replaced by an arbitrary self-embedding of the valued field. Many results go through in this more general setting ... application/pdf PDF (4MB) • (1967) application/pdf PDF (2MB) • (1999) In 1967, Vasconcelos and Ferrand independently demonstrated that an ideal I in a Noetherian local ring R is generated by a regular sequence if and only if I/ I2 is free over R/I and pdRI < infinity. In this thesis, we prove ... application/pdf PDF (1MB) • (1996) Dade has made a conjecture expressing the number$k(B, d)$of characters of a given defect d in a given p-block B of a finite group G in terms of the corresponding numbers$k(b, d)$for blocks b of certain p-local subgroups of G. application/pdf PDF (2MB) • (1992) The McKay-Alperin-Dade Conjecture states that the number of complex irreducible characters with a given defect d in a p-block B of a finite group G can be expressed in terms of an alternating sum of the numbers of complex ... application/pdf PDF (7MB) • (1975) application/pdf PDF (2MB) • (2017-03-27) This thesis focuses on using techniques from probability to solve problems from extremal and structural combinatorics. The main problem in Chapter 2 is determining the typical structure of$t$-intersecting families in ... application/pdf PDF (741kB) • (2018-07-11) This thesis is divided into three major topics. In the first, we study questions concerning the distribution of lattice points in dimensions two and higher. We give asymptotic formulas for the number of integer lattice ... application/pdf PDF (642kB) • (1998) The production and presentation of sc RTICA are described as are the techniques for generating pic and Mathematica illustrations to be embedded into$\rm T\sb{E}X\$ documents.

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Much work has been done on minimal submanifolds of a given manifold and also on harmonic maps between manifolds. It is known, for instance, that the critical sets of the volume functional and the energy functional coincide ...

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