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- $J$-selfadjoint operator (1)
- Aleksandrov measure (1)
- Aleksandrov-Clark operator (1)
- Banach spaces (1)
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- Complex symmetric operator (1)
- Compressed shift (1)
- DNA (1)
- Gene expression patterns (1)
- Inner function (1)
- Jordan operator (1)
- Knots (1)
- Microarrays (1)
- Pearson correlation (1)
- Positive Toeplitz operators (1)
- Recombination (1)
- Reflexive Toeplitz operators (1)
- Sturm-Liouville problem (1)
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Articles 1 - 6 of 6
Full-Text Articles in Mathematics
Complex Symmetric Operators And Applications Ii, Stephan Ramon Garcia, Mihai Putinar
Complex Symmetric Operators And Applications Ii, Stephan Ramon Garcia, Mihai Putinar
Pomona Faculty Publications and Research
A bounded linear operator T on a complex Hilbert space H is called complex symmetric if T = CT*C, where C is a conjugation (an isometric, antilinear involution of H). We prove that T = CJ|T|, where J is an auxiliary conjugation commuting with |T| = √{T*T). We consider numerous examples, including the Poincaré-Neumann singular integral (bounded) operator and the Jordan model operator (compressed shift). The decomposition T = CJ|T| also extends to the class of unbounded C-self adjoint operators, originally introduced by Glazman. In this context, it provides a method for estimating the norms …
Review: An Intertwining Property For Positive Toeplitz Operators, Stephan Ramon Garcia
Review: An Intertwining Property For Positive Toeplitz Operators, Stephan Ramon Garcia
Pomona Faculty Publications and Research
No abstract provided.
Review: On A Class Of Reflexive Toeplitz Operators, Stephan Ramon Garcia
Review: On A Class Of Reflexive Toeplitz Operators, Stephan Ramon Garcia
Pomona Faculty Publications and Research
No abstract provided.
Review: Certain Shifts On Banach Spaces Of Formal Power Series, Stephan Ramon Garcia
Review: Certain Shifts On Banach Spaces Of Formal Power Series, Stephan Ramon Garcia
Pomona Faculty Publications and Research
No abstract provided.
A Robust Measure Of Correlation Between Two Genes On A Microarray, Johanna S. Hardin, Aya Mitani '06, Leanne Hicks, Brian Vankoten
A Robust Measure Of Correlation Between Two Genes On A Microarray, Johanna S. Hardin, Aya Mitani '06, Leanne Hicks, Brian Vankoten
Pomona Faculty Publications and Research
Background
The underlying goal of microarray experiments is to identify gene expression patterns across different experimental conditions. Genes that are contained in a particular pathway or that respond similarly to experimental conditions could be co-expressed and show similar patterns of expression on a microarray. Using any of a variety of clustering methods or gene network analyses we can partition genes of interest into groups, clusters, or modules based on measures of similarity. Typically, Pearson correlation is used to measure distance (or similarity) before implementing a clustering algorithm. Pearson correlation is quite susceptible to outliers, however, an unfortunate characteristic when dealing …
A Model Of Dna Knotting And Linking, Erica Flapan, Dorothy Buck
A Model Of Dna Knotting And Linking, Erica Flapan, Dorothy Buck
Pomona Faculty Publications and Research
We present a model of how DNA knots and links are formed as a result of a single recombination event, or multiple rounds of (processive) recombination events, starting with an unknotted, unlinked, or a (2,m)-torus knot or link substrate. Given these substrates, according to our model all DNA products of a single recombination event or processive recombination fall into a single family of knots and links.