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Articles 1 - 14 of 14

Full-Text Articles in Physical Sciences and Mathematics

Harmonic Functions On R-Covered Foliations And Group Actions On The Circle, Sergio Fenley, Renato Feres, Kamlesh Parwani Jul 2009

Harmonic Functions On R-Covered Foliations And Group Actions On The Circle, Sergio Fenley, Renato Feres, Kamlesh Parwani

Kamlesh Parwani

Let (M,F) be a compact codimension-one foliated manifold whose leaves are equipped with Riemannian metrics, and consider continuous functions on M that are harmonic along the leaves of F. If every such function is constant on leaves we say that (M,F) has the Liouville property. Our main result is that codimension-one foliated bundles over compact negatively curved manifolds satisfy the Liouville property. Related results for R-covered foliations, as well as for discrete group actions and discrete harmonic functions, are also established.


Harmonic Functions On R-Covered Foliations And Group Actions On The Circle, Sergio Fenley, Renato Feres, Kamlesh Parwani Jul 2009

Harmonic Functions On R-Covered Foliations And Group Actions On The Circle, Sergio Fenley, Renato Feres, Kamlesh Parwani

Faculty Research and Creative Activity

Let (M,F) be a compact codimension-one foliated manifold whose leaves are equipped with Riemannian metrics, and consider continuous functions on M that are harmonic along the leaves of F. If every such function is constant on leaves we say that (M,F) has the Liouville property. Our main result is that codimension-one foliated bundles over compact negatively curved manifolds satisfy the Liouville property. Related results for R-covered foliations, as well as for discrete group actions and discrete harmonic functions, are also established.


Harmonic Functions On R-Covered Foliations And Group Actions On The Circle, Sergio Fenley, Renato Feres, Kamlesh Parwani Jul 2009

Harmonic Functions On R-Covered Foliations And Group Actions On The Circle, Sergio Fenley, Renato Feres, Kamlesh Parwani

Faculty Research and Creative Activity

Let (M,F) be a compact codimension-one foliated manifold whose leaves are equipped with Riemannian metrics, and consider continuous functions on M that are harmonic along the leaves of F. If every such function is constant on leaves we say that (M,F) has the Liouville property. Our main result is that codimension-one foliated bundles over compact negatively curved manifolds satisfy the Liouville property. Related results for R-covered foliations, as well as for discrete group actions and discrete harmonic functions, are also established.


A Plotless Density Estimator Based On The Asymptotic Limit Of Ordered Distance Estimation Values, Barry J. Kronenfeld Jan 2009

A Plotless Density Estimator Based On The Asymptotic Limit Of Ordered Distance Estimation Values, Barry J. Kronenfeld

Barry J. Kronenfeld

Estimation of tree density from point-tree distances is an attractive option for quick inventory of new sites, but estimators that are unbiased in clustered and dispersed situations have not been found. Noting that bias of an estimator derived from distances to the kth nearest neighbor from a random point tends to decrease with increasing k, a method is proposed for estimating the limit of an asymptotic function through a set of ordered distance estimators. A standard asymptotic model is derived from the limiting case of a clustered distribution. The proposed estimator is evaluated against 13 types of simulated generating processes, …


A Tikz Tutorial: Generating Graphics In The Spirit Of Tex, Andrew Mertz, William Slough Jan 2009

A Tikz Tutorial: Generating Graphics In The Spirit Of Tex, Andrew Mertz, William Slough

Andrew Mertz

TikZ is a system which can be used to specify graphics of very high quality. For example, accurate place- ment of picture elements, use of TEX fonts, ability to incorporate mathematical typesetting, and the possi- bility of introducing macros can be viewed as positive factors of this system. The syntax uses an amal- gamation of ideas from METAFONT, METAPOST, PSTricks, and SVG, allowing its users to \program" their desired graphics. The latest revision to TikZ introduces many new features to an already feature- packed system, as evidenced by its 560-page user manual. Here, we present a tutorial overview of this …


The Two Covering Radius Of The Two Error Correcting Bch Code, Andrew Klapper, Andrew Mertz Jan 2009

The Two Covering Radius Of The Two Error Correcting Bch Code, Andrew Klapper, Andrew Mertz

Andrew Mertz

The m-covering radii of codes are natural generalizations of the covering radii of codes. In this paper we analyze the 2-covering radii of double error correcting BCH code.


A Tikz Tutorial: Generating Graphics In The Spirit Of Tex, Andrew Mertz, William Slough Jan 2009

A Tikz Tutorial: Generating Graphics In The Spirit Of Tex, Andrew Mertz, William Slough

Faculty Research and Creative Activity

TikZ is a system which can be used to specify graphics of very high quality. For example, accurate place- ment of picture elements, use of TEX fonts, ability to incorporate mathematical typesetting, and the possi- bility of introducing macros can be viewed as positive factors of this system. The syntax uses an amal- gamation of ideas from METAFONT, METAPOST, PSTricks, and SVG, allowing its users to \program" their desired graphics. The latest revision to TikZ introduces many new features to an already feature- packed system, as evidenced by its 560-page user manual. Here, we present a tutorial overview of this …


A Plotless Density Estimator Based On The Asymptotic Limit Of Ordered Distance Estimation Values, Barry Kronenfeld Jan 2009

A Plotless Density Estimator Based On The Asymptotic Limit Of Ordered Distance Estimation Values, Barry Kronenfeld

Faculty Research and Creative Activity

Estimation of tree density from point-tree distances is an attractive option for quick inventory of new sites, but estimators that are unbiased in clustered and dispersed situations have not been found. Noting that bias of an estimator derived from distances to the kth nearest neighbor from a random point tends to decrease with increasing k, a method is proposed for estimating the limit of an asymptotic function through a set of ordered distance estimators. A standard asymptotic model is derived from the limiting case of a clustered distribution. The proposed estimator is evaluated against 13 types of simulated generating processes, …


(+-)-3-Carboxy-2-(Imidazol-3-Ium-1-Yl)- Propanoate, Sara A. Reeb, Marlesa C. Shields, Kraig A. Wheeler Jan 2009

(+-)-3-Carboxy-2-(Imidazol-3-Ium-1-Yl)- Propanoate, Sara A. Reeb, Marlesa C. Shields, Kraig A. Wheeler

Faculty Research and Creative Activity

The title compound, C7H8N2O4, crystallizes as a zwitterion, with molecules organized into molecular sheets via carboxyl– carboxylate and N+—H_ _ _carboxylate contacts. These sheets are constructed from translationally related molecules that further link to neighboring motifs via _-stacking [centroid– centroid distance 3.504 (3) A ° ] and weak C—H_ _ _O contacts.


A Plotless Density Estimator Based On The Asymptotic Limit Of Ordered Distance Estimation Values, Barry J. Kronenfeld Jan 2009

A Plotless Density Estimator Based On The Asymptotic Limit Of Ordered Distance Estimation Values, Barry J. Kronenfeld

Faculty Research and Creative Activity

Estimation of tree density from point-tree distances is an attractive option for quick inventory of new sites, but estimators that are unbiased in clustered and dispersed situations have not been found. Noting that bias of an estimator derived from distances to the kth nearest neighbor from a random point tends to decrease with increasing k, a method is proposed for estimating the limit of an asymptotic function through a set of ordered distance estimators. A standard asymptotic model is derived from the limiting case of a clustered distribution. The proposed estimator is evaluated against 13 types of simulated generating processes, …


Cloning, Overexpression, Purification And Characterization Of Gcp Ii Homologous Metalloprotein From Caulobacter Crescentus, Dilani Nilushika Gigiriwala Gamage Jan 2009

Cloning, Overexpression, Purification And Characterization Of Gcp Ii Homologous Metalloprotein From Caulobacter Crescentus, Dilani Nilushika Gigiriwala Gamage

Masters Theses

No abstract provided.


Stability Of Heme Proteins: Cytochrome C And Horseradish Peroxidase, Mini Gupta Jan 2009

Stability Of Heme Proteins: Cytochrome C And Horseradish Peroxidase, Mini Gupta

Masters Theses

No abstract provided.


Molecular Structures And Pulsed Discharge Emission Studies Of Volatile Organic Compound Derivatives, Ashley Osthoff Jan 2009

Molecular Structures And Pulsed Discharge Emission Studies Of Volatile Organic Compound Derivatives, Ashley Osthoff

Masters Theses

No abstract provided.


Electrochemical And Spectroscopic Characterization Of A Polypyridyl Ru(Ii) Complex Containing A Fused Alloxazine, Waynie Wilson Olaprath Jan 2009

Electrochemical And Spectroscopic Characterization Of A Polypyridyl Ru(Ii) Complex Containing A Fused Alloxazine, Waynie Wilson Olaprath

Masters Theses

No abstract provided.