Sumners, De Witt L.
Overview
Works:  15 works in 42 publications in 2 languages and 981 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor 
Classifications:  QA3, 532 
Publication Timeline
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Most widely held works by
De Witt L Sumners
New scientific applications of geometry and topology
by
De Witt L Sumners(
Book
)
10 editions published in 1992 in English and Italian and held by 418 WorldCat member libraries worldwide
10 editions published in 1992 in English and Italian and held by 418 WorldCat member libraries worldwide
Mathematical approaches to biomolecular structure and dynamics
by
Jill P Mesirov(
Book
)
4 editions published in 1996 in English and held by 186 WorldCat member libraries worldwide
4 editions published in 1996 in English and held by 186 WorldCat member libraries worldwide
Topology and geometry in polymer science
by
Stuart G Whittington(
Book
)
5 editions published in 1998 in English and held by 141 WorldCat member libraries worldwide
This book contains contributions from a workshop on topology and geometry of polymers, held at the IMA in June 1996, which brought together topologists, combinatorialists, theoretical physicists and polymer scientists, with a common interest in polymer topology. Polymers can be highly selfentangled even in dilute solution. In the melt the inter and intrachain entanglements can dominate the rheological properties of these phenomena. Although the possibility of knotting in ring polymers has been recognized for more than thirty years it is only recently that the powerful methods of algebraic topology have been used in treating models of polymers. This book contains a series of chapters which review the current state of the field and give an up to date account of what is known and perhaps more importantly, what is still unknown. The field abounds with open problems. The book is of interest to workers in polymer statistical mechanics but will also be useful as an introduction to topological methods for polymer scientists, and will introduce mathematicians to an area of science where topological approaches are making a substantial contribution
5 editions published in 1998 in English and held by 141 WorldCat member libraries worldwide
This book contains contributions from a workshop on topology and geometry of polymers, held at the IMA in June 1996, which brought together topologists, combinatorialists, theoretical physicists and polymer scientists, with a common interest in polymer topology. Polymers can be highly selfentangled even in dilute solution. In the melt the inter and intrachain entanglements can dominate the rheological properties of these phenomena. Although the possibility of knotting in ring polymers has been recognized for more than thirty years it is only recently that the powerful methods of algebraic topology have been used in treating models of polymers. This book contains a series of chapters which review the current state of the field and give an up to date account of what is known and perhaps more importantly, what is still unknown. The field abounds with open problems. The book is of interest to workers in polymer statistical mechanics but will also be useful as an introduction to topological methods for polymer scientists, and will introduce mathematicians to an area of science where topological approaches are making a substantial contribution
Random knotting and linking
by
Kenneth C Millett(
Book
)
6 editions published in 1994 in English and held by 132 WorldCat member libraries worldwide
This volume includes both rigorous asymptotic results on the inevitability of random knotting and linking, and Monte Carlo simulations of knot probability at small lengths. The statistical mechanics and topology of surfaces on the ddimensional simple cubic lattice are investigated. The energy of knots is studied both analytically and numerically. Vassiliev invariants are investigated and used in random knot simulations. A mutation scheme which leaves the Jones polynomial unaltered is described. Applications include the investigation of RNA secondary structure using Vassiliev invariants, and the direct experimental measurement of DNA knot probability as a function of salt concentration in random cyclization experiments on linear DNA molecules. The papers in this volume reflect the diversity of interest across science and mathematics in this subject, from topology to statistical mechanics to theoretical chemistry to wetlab molecular biology
6 editions published in 1994 in English and held by 132 WorldCat member libraries worldwide
This volume includes both rigorous asymptotic results on the inevitability of random knotting and linking, and Monte Carlo simulations of knot probability at small lengths. The statistical mechanics and topology of surfaces on the ddimensional simple cubic lattice are investigated. The energy of knots is studied both analytically and numerically. Vassiliev invariants are investigated and used in random knot simulations. A mutation scheme which leaves the Jones polynomial unaltered is described. Applications include the investigation of RNA secondary structure using Vassiliev invariants, and the direct experimental measurement of DNA knot probability as a function of salt concentration in random cyclization experiments on linear DNA molecules. The papers in this volume reflect the diversity of interest across science and mathematics in this subject, from topology to statistical mechanics to theoretical chemistry to wetlab molecular biology
Lectures on topological fluid mechanics lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 210, 2001
by
De Witt L Sumners(
)
6 editions published in 2009 in English and held by 64 WorldCat member libraries worldwide
6 editions published in 2009 in English and held by 64 WorldCat member libraries worldwide
Mathematics of DNA structure, function and interactions
by
Tobias Springer(
)
2 editions published in 2009 in English and held by 20 WorldCat member libraries worldwide
Propelled by the success of the sequencing of the human and many related genomes, molecular and cellular biology has delivered significant scientific breakthroughs. Mathematics (broadly defined) continues to play a major role in this effort, helping to discover the secrets of life by working collaboratively with bench biologists, chemists and physicists. Because of its outstanding record of interdisciplinary research and training, the IMA was an ideal venue for the 20072008 IMA thematic year on Mathematics of Molecular and Cellular Biology. The kickoff event for this thematic year was a tutorial onMathematics of Nucleic Acids, followed by the workshop Mathematics of Molecular and Cellular Biology, held September 1521 at the IMA. This volume is dedicated to the memory of Nicholas R. Cozzarelli, a dynamic leader who fostered research and training at the interface between mathematics and molecular biology. It contains a personal remembrance of Nick Cozzarelli, plus 15 papers contributed by workshop speakers. The papers give and overview of stateoftheart mathematical approaches to the understanding of DNA structure and function, and the interaction of DNA with proteins that mediate vitallife processes.
2 editions published in 2009 in English and held by 20 WorldCat member libraries worldwide
Propelled by the success of the sequencing of the human and many related genomes, molecular and cellular biology has delivered significant scientific breakthroughs. Mathematics (broadly defined) continues to play a major role in this effort, helping to discover the secrets of life by working collaboratively with bench biologists, chemists and physicists. Because of its outstanding record of interdisciplinary research and training, the IMA was an ideal venue for the 20072008 IMA thematic year on Mathematics of Molecular and Cellular Biology. The kickoff event for this thematic year was a tutorial onMathematics of Nucleic Acids, followed by the workshop Mathematics of Molecular and Cellular Biology, held September 1521 at the IMA. This volume is dedicated to the memory of Nicholas R. Cozzarelli, a dynamic leader who fostered research and training at the interface between mathematics and molecular biology. It contains a personal remembrance of Nick Cozzarelli, plus 15 papers contributed by workshop speakers. The papers give and overview of stateoftheart mathematical approaches to the understanding of DNA structure and function, and the interaction of DNA with proteins that mediate vitallife processes.
Mathematics of DNA Structure, Function and Interactions
by
Craig John Benham(
)
1 edition published in 2009 in English and held by 11 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 11 WorldCat member libraries worldwide
Topology and geometry volume
(
Book
)
1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide
New scientific applications of geometry and topology : Short course : Papers
(
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Random knotting and linking : papers presented at the AMS Special Session on Random Knitting and Linking, held at the International Joint Mathematics Meetings of the American Mathematical Society, Canadian Mathematical Society, and the Mathematical Association of America in Vancouver, British Columbia, Canada, August 1519, 1993
by AMS Special Session on Random Knitting and Linking(
Book
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Mathematics of DNA structure, function and interactions workshop, Minneapolis (MN), 1621.09.2007
by
Craig John Benham(
Book
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
Applications of Algebraic and Computational Topology in Biology and Chemistry
(
)
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
The United States Office of Naval Research supported this project for a seven year period beginning October 1, 1984. The groundbreaking nature of the research made the initial decision to fund the project a risky one of any granting agency. The original goal of this Florida State University ONR project was to find and develop new and significant applications of mathematics (particularly topology) to science (particularly biology and chemistry). As the project matured and prospered, new goals were set and reached, including research in neural networks. The project was very successful, and now other agencies (including the National Science Foundation) are supporting the ongoing research begun with ONR support
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
The United States Office of Naval Research supported this project for a seven year period beginning October 1, 1984. The groundbreaking nature of the research made the initial decision to fund the project a risky one of any granting agency. The original goal of this Florida State University ONR project was to find and develop new and significant applications of mathematics (particularly topology) to science (particularly biology and chemistry). As the project matured and prospered, new goals were set and reached, including research in neural networks. The project was very successful, and now other agencies (including the National Science Foundation) are supporting the ongoing research begun with ONR support
Proceedings of a symposia in applied mathematics
(
Book
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Random Knotting and Linking. Series on Knots and Everything, Volume 7
(
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
This volume includes both asymptotic results on the inevitability of random knotting and linking, and Monte Carlo simulations of knot probability at small lengths. The statistical mechanics and topology of surfaces on the ddimensional simple cubic lattice are investigated. The energy of knots is studied both analytically and numerically. Vassiliev invariants are investigated and used in random knot simulations. A mutation scheme which leaves the Jones polynomial unaltered is described. Applications include the investigation of RNA secondary structure using Vassiliev invariants, and the direct experimental measurement of DNA knot probability as a function of salt concentration in random cyclization experiments on linear DNA molecules. The papers in this volume reflect the diversity of interest across science and mathematics in this subject, from topology and statistical mechanics to theoretical chemistry and wetlab molecular biology
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
This volume includes both asymptotic results on the inevitability of random knotting and linking, and Monte Carlo simulations of knot probability at small lengths. The statistical mechanics and topology of surfaces on the ddimensional simple cubic lattice are investigated. The energy of knots is studied both analytically and numerically. Vassiliev invariants are investigated and used in random knot simulations. A mutation scheme which leaves the Jones polynomial unaltered is described. Applications include the investigation of RNA secondary structure using Vassiliev invariants, and the direct experimental measurement of DNA knot probability as a function of salt concentration in random cyclization experiments on linear DNA molecules. The papers in this volume reflect the diversity of interest across science and mathematics in this subject, from topology and statistical mechanics to theoretical chemistry and wetlab molecular biology
On Random Knots
by
Yuanan Diao(
)
1 edition published in 1994 in Undetermined and held by 1 WorldCat member library worldwide
In this paper, we consider knotting of Gaussian random polygons in 3space. A Gaussian random polygon is a piecewise linear circle with n edges in which the length of the edges follows a Gaussian distribution. We prove a continuum version of Kesten's Pattern Theorem for these polygons, and use this to prove that the probability that a Gaussian random polygon of n edges in 3space is knotted tends to one exponentially rapidly as n tends to infinity. We study the properties of Gaussian random knots, and prove that the entanglement complexity of Gaussian random knots gets arbitrarily large as n tends to infinity. We also prove that almost all Gaussian random knots are chiral
1 edition published in 1994 in Undetermined and held by 1 WorldCat member library worldwide
In this paper, we consider knotting of Gaussian random polygons in 3space. A Gaussian random polygon is a piecewise linear circle with n edges in which the length of the edges follows a Gaussian distribution. We prove a continuum version of Kesten's Pattern Theorem for these polygons, and use this to prove that the probability that a Gaussian random polygon of n edges in 3space is knotted tends to one exponentially rapidly as n tends to infinity. We study the properties of Gaussian random knots, and prove that the entanglement complexity of Gaussian random knots gets arbitrarily large as n tends to infinity. We also prove that almost all Gaussian random knots are chiral
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Bioinformatics Biological models Biomathematics BiomoleculesStructureMathematical models Braid theory Chemistry Combinatorial analysis Differentiable dynamical systems Differential equations, Partial DNA DNAprotein interactions DNAStructure Fluid mechanics Geometry Geometry, Differential Knot theory Link theory Magnetohydrodynamics Mathematics Molecular dynamicsMathematical models Physics PolymersMathematical models ScienceMathematics Singularities (Mathematics) Systems biology Thermodynamics Topology