Physical and numerical models in knot theory [[electronic resource] ] : including applications to the life sciences / / editors, Jorge A. Calvo ... [et al.] |
Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2005 |
Descrizione fisica | 1 online resource (640 p.) |
Disciplina | 514/.2242 |
Altri autori (Persone) | CalvoJorge Alberto <1971-> |
Collana | K & E series on knots and everything |
Soggetto topico | Knot theory |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-90583-6
9786611905835 981-270-346-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; CONTENTS; Chapter 1 On the Theory of Solid Knots Otto Krotenheerdt and Sigrid Veit (translated by Ted Ashton); Chapter 2 A Tutorial on Knot Energies E. J. Janse van Rensburg; Chapter 3 Universal Energy Spectrum of Tight Knots and Links in Physics Roman V. Buniy and Thomas W. Kephart; Chapter 4 Knot Dynamics in a Driven Hanging Chain: Experimental Results Andrew Belmonte; Chapter 5 Biarcs, Global Radius of Curvature, and the Computation of Ideal Knot Shapes (4 color plates) M. Carlen, B. Laurie, J. H. Maddocks and J. Smutny
Chapter 6 Knotted Umbilical Cords (2 color plates) Alain Goriely Chapter 7 Modelling DNA as a Flexible Thick Polymer: DNA Elasticity and Packaging Thermodynamics Cristian Micheletti and Davide Marenduzzo; Chapter 8 Monte-Carlo Simulations of Gel-Electrophoresis of DNA Knots C. Weber, M. Fleurant, P. De Los Rios and G. Dietler; Chapter 9 Atomic Force Microscopy of Complex DNA Knots F. Valle, M. Favre, J . Roca and G. Dietler; Chapter 10 Protein Folds, Knots and Tangles William R. Taylor Chapter 11 Tying Down Open Knots: A Statistical Method for Identifying Open Knots with Applications to Proteins (7 color plates) Kenneth C. Millett and Benjamin M. Sheldon Chapter 12 Scaling of the Average Crossing Number in Equilateral Random Walks, Knots and Proteins Akos Dobay, Jacques Dubochet, Andrzej Stasiak and Yuanan Diao; Chapter 13 Folding Complexity in a Random-Walk Copolymer Model Gustavo A. Arteca; Chapter 14 Universal Characteristics of Polygonal Knot Probabilities Kenneth C. Millett and Eric J. Rawdon Chapter 15 The Average Crossing Number of Gaussian Random Walks and Polygons Yuanan Diao and Clam Ernst Chapter 16 Rope length of Tight Polygonal Knots Justyna Baransku, Piotr Pieranski an and Eric J.Rawdon; Chapter 17 A Fast Octree-Based Algorithm for Computing Ropelength Ted Ashton and Jason Cantarella; Chapter 18 Topological Entropic Force between a Pair of Random Knots Forming a Fixed Link Tetsuo Deguchi; Chapter 19 Under-Knotted and Over-Knotted Polymers: 1. Unrestricted Loops Nathan T. Moore, Rhonald C. Lua and Alexander Yu. Grosberg Chapter 20 Under-Knotted and Over-Knotted Polymers: 2. Compact Self-Avoiding Loops Rhonald C. Lua, Nathan T. Moore and Alexander Yu. Grosberg Chapter 21 On the Mean Gyration Radius and the Radial Distribution Function of Ring Polymers with Excluded Volume under a Topological Constraint Miyuki K. Shimamura and Tetsuo Deguchi; Chapter 22 Thermodynamics and Topology of Disordered Knots. Correlations in Trivial Lattice Knot Diagrams S. K. Nechaev and O. A. Vasilyev; Chapter 23 Generating Large Random Knot Projections Yuanan Diao, Claus Ernst and Uta Ziegler Chapter 24 Minimal Flat Knotted Ribbons Louis H. Kauffman |
Record Nr. | UNINA-9910450697003321 |
Hackensack, N.J., : World Scientific, c2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Physical and numerical models in knot theory [[electronic resource] ] : including applications to the life sciences / / editors, Jorge A. Calvo ... [et al.] |
Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2005 |
Descrizione fisica | 1 online resource (640 p.) |
Disciplina | 514/.2242 |
Altri autori (Persone) | CalvoJorge Alberto <1971-> |
Collana | K & E series on knots and everything |
Soggetto topico | Knot theory |
ISBN |
1-281-90583-6
9786611905835 981-270-346-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; CONTENTS; Chapter 1 On the Theory of Solid Knots Otto Krotenheerdt and Sigrid Veit (translated by Ted Ashton); Chapter 2 A Tutorial on Knot Energies E. J. Janse van Rensburg; Chapter 3 Universal Energy Spectrum of Tight Knots and Links in Physics Roman V. Buniy and Thomas W. Kephart; Chapter 4 Knot Dynamics in a Driven Hanging Chain: Experimental Results Andrew Belmonte; Chapter 5 Biarcs, Global Radius of Curvature, and the Computation of Ideal Knot Shapes (4 color plates) M. Carlen, B. Laurie, J. H. Maddocks and J. Smutny
Chapter 6 Knotted Umbilical Cords (2 color plates) Alain Goriely Chapter 7 Modelling DNA as a Flexible Thick Polymer: DNA Elasticity and Packaging Thermodynamics Cristian Micheletti and Davide Marenduzzo; Chapter 8 Monte-Carlo Simulations of Gel-Electrophoresis of DNA Knots C. Weber, M. Fleurant, P. De Los Rios and G. Dietler; Chapter 9 Atomic Force Microscopy of Complex DNA Knots F. Valle, M. Favre, J . Roca and G. Dietler; Chapter 10 Protein Folds, Knots and Tangles William R. Taylor Chapter 11 Tying Down Open Knots: A Statistical Method for Identifying Open Knots with Applications to Proteins (7 color plates) Kenneth C. Millett and Benjamin M. Sheldon Chapter 12 Scaling of the Average Crossing Number in Equilateral Random Walks, Knots and Proteins Akos Dobay, Jacques Dubochet, Andrzej Stasiak and Yuanan Diao; Chapter 13 Folding Complexity in a Random-Walk Copolymer Model Gustavo A. Arteca; Chapter 14 Universal Characteristics of Polygonal Knot Probabilities Kenneth C. Millett and Eric J. Rawdon Chapter 15 The Average Crossing Number of Gaussian Random Walks and Polygons Yuanan Diao and Clam Ernst Chapter 16 Rope length of Tight Polygonal Knots Justyna Baransku, Piotr Pieranski an and Eric J.Rawdon; Chapter 17 A Fast Octree-Based Algorithm for Computing Ropelength Ted Ashton and Jason Cantarella; Chapter 18 Topological Entropic Force between a Pair of Random Knots Forming a Fixed Link Tetsuo Deguchi; Chapter 19 Under-Knotted and Over-Knotted Polymers: 1. Unrestricted Loops Nathan T. Moore, Rhonald C. Lua and Alexander Yu. Grosberg Chapter 20 Under-Knotted and Over-Knotted Polymers: 2. Compact Self-Avoiding Loops Rhonald C. Lua, Nathan T. Moore and Alexander Yu. Grosberg Chapter 21 On the Mean Gyration Radius and the Radial Distribution Function of Ring Polymers with Excluded Volume under a Topological Constraint Miyuki K. Shimamura and Tetsuo Deguchi; Chapter 22 Thermodynamics and Topology of Disordered Knots. Correlations in Trivial Lattice Knot Diagrams S. K. Nechaev and O. A. Vasilyev; Chapter 23 Generating Large Random Knot Projections Yuanan Diao, Claus Ernst and Uta Ziegler Chapter 24 Minimal Flat Knotted Ribbons Louis H. Kauffman |
Record Nr. | UNINA-9910783915203321 |
Hackensack, N.J., : World Scientific, c2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Physical and numerical models in knot theory : including applications to the life sciences / / editors, Jorge A. Calvo ... [et al.] |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2005 |
Descrizione fisica | 1 online resource (640 p.) |
Disciplina | 514/.2242 |
Altri autori (Persone) | CalvoJorge Alberto <1971-> |
Collana | K & E series on knots and everything |
Soggetto topico | Knot theory |
ISBN |
1-281-90583-6
9786611905835 981-270-346-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; CONTENTS; Chapter 1 On the Theory of Solid Knots Otto Krotenheerdt and Sigrid Veit (translated by Ted Ashton); Chapter 2 A Tutorial on Knot Energies E. J. Janse van Rensburg; Chapter 3 Universal Energy Spectrum of Tight Knots and Links in Physics Roman V. Buniy and Thomas W. Kephart; Chapter 4 Knot Dynamics in a Driven Hanging Chain: Experimental Results Andrew Belmonte; Chapter 5 Biarcs, Global Radius of Curvature, and the Computation of Ideal Knot Shapes (4 color plates) M. Carlen, B. Laurie, J. H. Maddocks and J. Smutny
Chapter 6 Knotted Umbilical Cords (2 color plates) Alain Goriely Chapter 7 Modelling DNA as a Flexible Thick Polymer: DNA Elasticity and Packaging Thermodynamics Cristian Micheletti and Davide Marenduzzo; Chapter 8 Monte-Carlo Simulations of Gel-Electrophoresis of DNA Knots C. Weber, M. Fleurant, P. De Los Rios and G. Dietler; Chapter 9 Atomic Force Microscopy of Complex DNA Knots F. Valle, M. Favre, J . Roca and G. Dietler; Chapter 10 Protein Folds, Knots and Tangles William R. Taylor Chapter 11 Tying Down Open Knots: A Statistical Method for Identifying Open Knots with Applications to Proteins (7 color plates) Kenneth C. Millett and Benjamin M. Sheldon Chapter 12 Scaling of the Average Crossing Number in Equilateral Random Walks, Knots and Proteins Akos Dobay, Jacques Dubochet, Andrzej Stasiak and Yuanan Diao; Chapter 13 Folding Complexity in a Random-Walk Copolymer Model Gustavo A. Arteca; Chapter 14 Universal Characteristics of Polygonal Knot Probabilities Kenneth C. Millett and Eric J. Rawdon Chapter 15 The Average Crossing Number of Gaussian Random Walks and Polygons Yuanan Diao and Clam Ernst Chapter 16 Rope length of Tight Polygonal Knots Justyna Baransku, Piotr Pieranski an and Eric J.Rawdon; Chapter 17 A Fast Octree-Based Algorithm for Computing Ropelength Ted Ashton and Jason Cantarella; Chapter 18 Topological Entropic Force between a Pair of Random Knots Forming a Fixed Link Tetsuo Deguchi; Chapter 19 Under-Knotted and Over-Knotted Polymers: 1. Unrestricted Loops Nathan T. Moore, Rhonald C. Lua and Alexander Yu. Grosberg Chapter 20 Under-Knotted and Over-Knotted Polymers: 2. Compact Self-Avoiding Loops Rhonald C. Lua, Nathan T. Moore and Alexander Yu. Grosberg Chapter 21 On the Mean Gyration Radius and the Radial Distribution Function of Ring Polymers with Excluded Volume under a Topological Constraint Miyuki K. Shimamura and Tetsuo Deguchi; Chapter 22 Thermodynamics and Topology of Disordered Knots. Correlations in Trivial Lattice Knot Diagrams S. K. Nechaev and O. A. Vasilyev; Chapter 23 Generating Large Random Knot Projections Yuanan Diao, Claus Ernst and Uta Ziegler Chapter 24 Minimal Flat Knotted Ribbons Louis H. Kauffman |
Record Nr. | UNINA-9910826071403321 |
Hackensack, N.J., : World Scientific, c2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Physical knots : knotting, linking, and folding geometric objects in R³ : AMS Special Session on Physical Knotting and Unknotting, Las Vegas, Nevada, April 21-22, 2001 / / Jorge Alberto Calvo, Kenneth C. Millett, Eric J. Rawdon, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
Descrizione fisica | 1 online resource (356 p.) |
Disciplina | 514/.224 |
Collana | Contemporary mathematics |
Soggetto topico | Knot theory |
Soggetto genere / forma | Electronic books. |
ISBN |
0-8218-7894-8
0-8218-3200-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Preface""; ""Physical knots""; ""The space of piecewise-linear knots""; ""Characterizing polygons in R3""; ""Upper bounds for equilateral stick numbers""; ""An investigation of equilateral knot spaces and ideal physical knot configurations""; ""Topological effects on the average size of random knots""; ""Bringing an order into random knots""; ""The probability of knotting in lattice polygons""; ""Knotting in adsorbing lattice polygons""; ""In search of the ideal trefoil knot""; ""The crossing numbers of thick knots and links""
""On thickness and packing density for knots and links""""Approximating ropelength by energy functions""; ""Conformal geometric viewpoints for knots and links I""; ""Curves, circles, and spheres""; ""The rupture of knotted strings under tension""; ""Classifying and applying rational knots and rational tangles""; ""Untangling some spheres in R4 by energy minimizing flow""; ""Convexifying polygons in 3D: A survey""; ""Infinitesimally locked self-touching linkages with applications to locked trees""; ""Biologic"" |
Record Nr. | UNINA-9910480853803321 |
Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Physical knots : knotting, linking, and folding geometric objects in R³ : AMS Special Session on Physical Knotting and Unknotting, Las Vegas, Nevada, April 21-22, 2001 / / Jorge Alberto Calvo, Kenneth C. Millett, Eric J. Rawdon, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
Descrizione fisica | 1 online resource (356 p.) |
Disciplina | 514/.224 |
Collana | Contemporary mathematics |
Soggetto topico | Knot theory |
ISBN |
0-8218-7894-8
0-8218-3200-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Contents -- Preface -- Physical knots -- The space of piecewise-linear knots -- Characterizing polygons in R3 -- Upper bounds for equilateral stick numbers -- An investigation of equilateral knot spaces and ideal physical knot configurations -- Topological effects on the average size of random knots -- Bringing an order into random knots -- The probability of knotting in lattice polygons -- Knotting in adsorbing lattice polygons -- In search of the ideal trefoil knot -- The crossing numbers of thick knots and links -- On thickness and packing density for knots and links -- Approximating ropelength by energy functions -- Conformal geometric viewpoints for knots and links I -- Curves, circles, and spheres -- The rupture of knotted strings under tension -- Classifying and applying rational knots and rational tangles -- Untangling some spheres in R4 by energy minimizing flow -- Convexifying polygons in 3D: A survey -- Infinitesimally locked self-touching linkages with applications to locked trees -- Biologic. |
Record Nr. | UNINA-9910788657803321 |
Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Physical knots : knotting, linking, and folding geometric objects in R³ : AMS Special Session on Physical Knotting and Unknotting, Las Vegas, Nevada, April 21-22, 2001 / / Jorge Alberto Calvo, Kenneth C. Millett, Eric J. Rawdon, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
Descrizione fisica | 1 online resource (356 p.) |
Disciplina | 514/.224 |
Collana | Contemporary mathematics |
Soggetto topico | Knot theory |
ISBN |
0-8218-7894-8
0-8218-3200-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Contents -- Preface -- Physical knots -- The space of piecewise-linear knots -- Characterizing polygons in R3 -- Upper bounds for equilateral stick numbers -- An investigation of equilateral knot spaces and ideal physical knot configurations -- Topological effects on the average size of random knots -- Bringing an order into random knots -- The probability of knotting in lattice polygons -- Knotting in adsorbing lattice polygons -- In search of the ideal trefoil knot -- The crossing numbers of thick knots and links -- On thickness and packing density for knots and links -- Approximating ropelength by energy functions -- Conformal geometric viewpoints for knots and links I -- Curves, circles, and spheres -- The rupture of knotted strings under tension -- Classifying and applying rational knots and rational tangles -- Untangling some spheres in R4 by energy minimizing flow -- Convexifying polygons in 3D: A survey -- Infinitesimally locked self-touching linkages with applications to locked trees -- Biologic. |
Record Nr. | UNINA-9910817970903321 |
Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|