Browsing Mathematics & Statistics Department by Issue Date
Now showing items 1-20 of 269
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Growing heterogeneous tumors in silico
(The American Physical Society, 11/16/2009)An in silico tool that can be utilized in the clinic to predict neoplastic progression and propose individualized treatment strategies is the holy grail of computational tumor modeling. Building such a tool requires the ... -
Comparison of simian immunodeficiency virus isolates
(Nature Publishing Group, 1988)Information on the extent of genetic variability among non-human primate lentiviruses related to human immunodeficiency virus (HIV) is sorely lacking. Here we describe the isolation of two molecular clones from the simian ... -
Generalized Casson Invariants for SO(3),U(2),Spin(4) , and SO(4)
(American Mathematical Society, 1994)We investigate Casson-type invariants corresponding to the low-rank groups $\mathrm{SO}(3), \mathrm{SU}(2) \times S^1, \mathrm{U}(2), \operatorname{Spin}(4)$ and SO(4). The invariants are defined following an approach ... -
Stochastic differentiability in maximum likelihood theory
(Springer, 1994) -
Commutators in Free Products
(World Scientific Publishing, 1995)Topological methods are used to show that for certain subgroups S of a free product F, if w∈S is a commutator in F, then w is a commutator in S. -
Tesselations of S2 and equations over torsion-free groups
(Cambridge University Press, 1995)Let G be a torsion free group, F the free group generated by t. The equation r(t) = 1 is said to have a solution over G if there is a solution in some group that contains G. In this paper we generalize a result due to ... -
A decomposition theorem for h-cobordant smooth simply-connected compact 4-manifolds
(Springer Verlag, 1996) -
A New Method for Spectral Decomposition Using a Bilinear Bayesian Approach
(Elsevier, 1999)A frequent problem in analysis is the need to find two matrices, closely related to the underlying measurement process, which when multiplied together reproduce the matrix of data points. Such problems arise throughout ... -
Compact cores of coverings
(Elsevier, 1999)Let H be a subgroup of G. In this paper we discuss the following questions: Is there a two-complex L so that pi(1)(L) = G and so that the cover of L corresponding to H has a compact core? Is there an L so that pi(1)(L) = ... -
Hausdorff dimension of symmetric perfect sets
(Springer, 1999-09) -
Groups and Several Equations in one Variable
(World Scientific Publishing, 2001)This paper addresses the question of simultaneously solving a set of equations in one variable over torsion-free groups. -
An intersection theory count of the -representations of the fundamental group of a 3-manifold
(Elsevier, 2001)We define an invariant of closed 3-manifolds counting the signed equivalence classes of representations of the fundamental group in . The invariant is an -analog of the Casson-Walker invariant for SU(2). We reinterpret the ... -
Signal transduction driving technology driving signal transduction: factors in the design of targeted therapies
(Wiley, 2001)A significant number of human diseases can be attributed to defects in cellular signal transduction pathways. Large-scale proteomics projects now in progress seek to better define critical components of signal transduction ... -
A Dehn surgery description of regular finite cyclic covering spaces of rational homology spheres
(World Scientific Publishing, 2001)We provide related Dehn surgery descriptions for rational homology spheres and a class of their regular finite cyclic covering spaces. As an application, we use the surgery descriptions to relate the Casson invariants of ... -
Hausdorff dimension of centered sets
(Michigan State University Press, 2001)In this paper we will consider nowhere dense perfect subsets of [0, 1] that arise as a natural generalization of symmetric perfect sets in a paper of Humke, called centered sets. These sets have relatively large basic ... -
The Group <G,t|e> When G is Torsion-Free
(Elsevier, 2001)In this paper we discuss classes of nontrivial elements in the group with a relative presentation <G, t \e >, where G is torsion free and e is solvable over G. -
Equations with Torsion-Free Coefficients
(Cambridge University Press, 2001)In this paper we generalize techniques used by Klyachko and the authors to prove some tessellation results about S-2. These results are applied to prove the solvability of certain equations with torsion-free coefficients.
