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Biblioteca

MARC Lista (tabellare)
Birationally rigid Fano threefold hypersurfaces / / Ivan Cheltsov, Jihun Park
Birationally rigid Fano threefold hypersurfaces / / Ivan Cheltsov, Jihun Park
Autore Cheltsov Ivan <1973->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2017
Descrizione fisica 1 online resource (130 pages) : illustrations
Disciplina 516.35
Collana Memoirs of the American Mathematical Society
Soggetto topico Hypersurfaces
Threefolds (Algebraic geometry)
Surfaces, Algebraic
Rigidity (Geometry)
Soggetto genere / forma Electronic books.
ISBN 1-4704-3643-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910480283403321
Cheltsov Ivan <1973->  
Providence, Rhode Island : , : American Mathematical Society, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Birationally rigid Fano threefold hypersurfaces / / Ivan Cheltsov, Jihun Park
Birationally rigid Fano threefold hypersurfaces / / Ivan Cheltsov, Jihun Park
Autore Cheltsov Ivan <1973->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2017
Descrizione fisica 1 online resource (130 pages) : illustrations
Disciplina 516.35
Collana Memoirs of the American Mathematical Society
Soggetto topico Hypersurfaces
Threefolds (Algebraic geometry)
Surfaces, Algebraic
Rigidity (Geometry)
ISBN 1-4704-3643-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910794837303321
Cheltsov Ivan <1973->  
Providence, Rhode Island : , : American Mathematical Society, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Birationally rigid Fano threefold hypersurfaces / / Ivan Cheltsov, Jihun Park
Birationally rigid Fano threefold hypersurfaces / / Ivan Cheltsov, Jihun Park
Autore Cheltsov Ivan <1973->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2017
Descrizione fisica 1 online resource (130 pages) : illustrations
Disciplina 516.35
Collana Memoirs of the American Mathematical Society
Soggetto topico Hypersurfaces
Threefolds (Algebraic geometry)
Surfaces, Algebraic
Rigidity (Geometry)
ISBN 1-4704-3643-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910819408003321
Cheltsov Ivan <1973->  
Providence, Rhode Island : , : American Mathematical Society, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Formation control of multi-agent systems : a graph rigidity approach / / Marcio de Queiroz, Xiaoyu Cai, Matthew Feemster
Formation control of multi-agent systems : a graph rigidity approach / / Marcio de Queiroz, Xiaoyu Cai, Matthew Feemster
Autore Queiroz Marcio S. de
Edizione [1st edition]
Pubbl/distr/stampa Chichester, West Sussex, England : , : Wiley, , [2019]
Descrizione fisica 1 online resource (207 pages)
Disciplina 006.30285436
Collana Wiley series in dynamics and control of electromechanical systems
THEi Wiley ebooks
Soggetto topico Robotics - Mathematical models
Automatic control - Mathematical models
Rigidity (Geometry)
Graph theory
Formation control (Machine theory)
Multiagent systems
ISBN 1-118-88747-6
1-118-88746-8
1-118-88745-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- Single-integrator model -- Double-integrator model -- Robotic vehicle model -- Experimentation.
Record Nr. UNINA-9910555182903321
Queiroz Marcio S. de  
Chichester, West Sussex, England : , : Wiley, , [2019]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Geometry of nonholonomically constrained systems [[electronic resource] /] / Richard Cushman, Hans Duistermaat, Jędrzej Śniatycki
Geometry of nonholonomically constrained systems [[electronic resource] /] / Richard Cushman, Hans Duistermaat, Jędrzej Śniatycki
Autore Cushman Richard H. <1942->
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ, : World Scientific, c2010
Descrizione fisica 1 online resource (421 p.)
Disciplina 516.3/6
Altri autori (Persone) DuistermaatJ. J <1942-> (Johannes Jisse)
ŚniatyckiJędrzej
Collana Advanced series in nonlinear dynamics
Soggetto topico Nonholonomic dynamical systems
Geometry, Differential
Rigidity (Geometry)
Caratheodory measure
Soggetto genere / forma Electronic books.
ISBN 1-282-76167-6
9786612761676
981-4289-49-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Acknowledgments; Foreword; 1. Nonholonomically constrained motions; 1.1 Newton's equations; 1.2 Constraints; 1.3 Lagrange-d'Alembert equations; 1.4 Lagrange derivative in a trivialization; 1.5 Hamilton-d'Alembert equations; 1.6 Distributional Hamiltonian formulation; 1.6.1 The symplectic distribution (H,); 1.6.2 H and in a trivialization; 1.6.3 Distributional Hamiltonian vector field; 1.7 Almost Poisson brackets; 1.7.1 Hamilton's equations; 1.7.2 Nonholonomic Dirac brackets; 1.8 Momenta and momentum equation; 1.8.1 Momentum functions; 1.8.2 Momentum equations
1.8.3 Homogeneous functions1.8.4 Momenta as coordinates; 1.9 Projection principle; 1.10 Accessible sets; 1.11 Constants of motion; 1.12 Notes; 2. Group actions and orbit spaces; 2.1 Group actions; 2.2 Orbit spaces; 2.3 Isotropy and orbit types; 2.3.1 Isotropy types; 2.3.2 Orbit types; 2.3.3 When the action is proper; 2.3.4 Stratification on by orbit types; 2.4 Smooth structure on an orbit space; 2.4.1 Differential structure; 2.4.2 The orbit space as a differential space; 2.5 Subcartesian spaces; 2.6 Stratification of the orbit space by orbit types; 2.6.1 Orbit types in an orbit space
2.6.2 Stratification of an orbit space2.6.3 Minimality of S; 2.7 Derivations and vector fields on a differential space; 2.8 Vector fields on a stratified differential space; 2.9 Vector fields on an orbit space; 2.10 Tangent objects to an orbit space; 2.10.1 Stratified tangent bundle; 2.10.2 Zariski tangent bundle; 2.10.3 Tangent cone; 2.10.4 Tangent wedge; 2.11 Notes; 3. Symmetry and reductio; 3.1 Dynamical systems with symmetry; 3.1.1 Invariant vector fields; 3.1.2 Reduction of symmetry; 3.1.3 Reduction for or a free and proper G-action; 3.1.4 Reduction of a nonfree, proper G-action
3.2 Nonholonomic singular reduction for a proper action3.3 Nonholonomic reduction for a free and proper action; 3.4 Chaplygin systems; 3.5 Orbit types and reduction; 3.6 Conservation laws; 3.6.1 Momentum map; 3.6.2 Gauge momenta; 3.7 Lifted actions and the momentum equation; 3.7.1 Lifted actions; 3.7.2 Momentum equation; 3.8 Notes; 4.Reconstruction, relative equilibria and relative periodic orbits; 4.1 Reconstruction; 4.1.1 Reconstruction for proper free actions; 4.1.2 Reconstruction for nonfree proper actions; 4.1.3 Application to nonholonomic systems; 4.2 Relative equilibria
4.2.1 Basic properties4.2.2 Quasiperiodic relative equilibria; 4.2.3 Runaway relative equilibria; 4.2.4 Relative equilibria when the action is not free; 4.2.5 Other relative equilibria in a G-orbit; 4.2.5.1 When the G-action is free; 4.2.5.2 When the G-action is not free; 4.2.6 Smooth families of quasiperiodic relative equilibria; 4.2.6.1 Elliptic, regular, and stably elliptic elements of g; 4.2.6.2 When the G-action is free and proper; 4.2.6.3 When the G-action is proper but not free; 4.3 Relative periodic orbits; 4.3.1 Basic properties; 4.3.2 Quasiperiodic relative periodic orbits
4.3.3 Runaway relative period orbits
Record Nr. UNINA-9910455562003321
Cushman Richard H. <1942->  
Singapore ; ; Hackensack, NJ, : World Scientific, c2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Geometry of nonholonomically constrained systems [[electronic resource] /] / Richard Cushman, Hans Duistermaat, Jędrzej Śniatycki
Geometry of nonholonomically constrained systems [[electronic resource] /] / Richard Cushman, Hans Duistermaat, Jędrzej Śniatycki
Autore Cushman Richard H. <1942->
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ, : World Scientific, c2010
Descrizione fisica 1 online resource (421 p.)
Disciplina 516.3/6
Altri autori (Persone) DuistermaatJ. J <1942-2010.> (Johannes Jisse)
ŚniatyckiJędrzej
Collana Advanced series in nonlinear dynamics
Soggetto topico Nonholonomic dynamical systems
Geometry, Differential
Rigidity (Geometry)
Caratheodory measure
ISBN 1-282-76167-6
9786612761676
981-4289-49-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Acknowledgments; Foreword; 1. Nonholonomically constrained motions; 1.1 Newton's equations; 1.2 Constraints; 1.3 Lagrange-d'Alembert equations; 1.4 Lagrange derivative in a trivialization; 1.5 Hamilton-d'Alembert equations; 1.6 Distributional Hamiltonian formulation; 1.6.1 The symplectic distribution (H,); 1.6.2 H and in a trivialization; 1.6.3 Distributional Hamiltonian vector field; 1.7 Almost Poisson brackets; 1.7.1 Hamilton's equations; 1.7.2 Nonholonomic Dirac brackets; 1.8 Momenta and momentum equation; 1.8.1 Momentum functions; 1.8.2 Momentum equations
1.8.3 Homogeneous functions1.8.4 Momenta as coordinates; 1.9 Projection principle; 1.10 Accessible sets; 1.11 Constants of motion; 1.12 Notes; 2. Group actions and orbit spaces; 2.1 Group actions; 2.2 Orbit spaces; 2.3 Isotropy and orbit types; 2.3.1 Isotropy types; 2.3.2 Orbit types; 2.3.3 When the action is proper; 2.3.4 Stratification on by orbit types; 2.4 Smooth structure on an orbit space; 2.4.1 Differential structure; 2.4.2 The orbit space as a differential space; 2.5 Subcartesian spaces; 2.6 Stratification of the orbit space by orbit types; 2.6.1 Orbit types in an orbit space
2.6.2 Stratification of an orbit space2.6.3 Minimality of S; 2.7 Derivations and vector fields on a differential space; 2.8 Vector fields on a stratified differential space; 2.9 Vector fields on an orbit space; 2.10 Tangent objects to an orbit space; 2.10.1 Stratified tangent bundle; 2.10.2 Zariski tangent bundle; 2.10.3 Tangent cone; 2.10.4 Tangent wedge; 2.11 Notes; 3. Symmetry and reductio; 3.1 Dynamical systems with symmetry; 3.1.1 Invariant vector fields; 3.1.2 Reduction of symmetry; 3.1.3 Reduction for or a free and proper G-action; 3.1.4 Reduction of a nonfree, proper G-action
3.2 Nonholonomic singular reduction for a proper action3.3 Nonholonomic reduction for a free and proper action; 3.4 Chaplygin systems; 3.5 Orbit types and reduction; 3.6 Conservation laws; 3.6.1 Momentum map; 3.6.2 Gauge momenta; 3.7 Lifted actions and the momentum equation; 3.7.1 Lifted actions; 3.7.2 Momentum equation; 3.8 Notes; 4.Reconstruction, relative equilibria and relative periodic orbits; 4.1 Reconstruction; 4.1.1 Reconstruction for proper free actions; 4.1.2 Reconstruction for nonfree proper actions; 4.1.3 Application to nonholonomic systems; 4.2 Relative equilibria
4.2.1 Basic properties4.2.2 Quasiperiodic relative equilibria; 4.2.3 Runaway relative equilibria; 4.2.4 Relative equilibria when the action is not free; 4.2.5 Other relative equilibria in a G-orbit; 4.2.5.1 When the G-action is free; 4.2.5.2 When the G-action is not free; 4.2.6 Smooth families of quasiperiodic relative equilibria; 4.2.6.1 Elliptic, regular, and stably elliptic elements of g; 4.2.6.2 When the G-action is free and proper; 4.2.6.3 When the G-action is proper but not free; 4.3 Relative periodic orbits; 4.3.1 Basic properties; 4.3.2 Quasiperiodic relative periodic orbits
4.3.3 Runaway relative period orbits
Record Nr. UNINA-9910780893703321
Cushman Richard H. <1942->  
Singapore ; ; Hackensack, NJ, : World Scientific, c2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Geometry of nonholonomically constrained systems [[electronic resource] /] / Richard Cushman, Hans Duistermaat, Jędrzej Śniatycki
Geometry of nonholonomically constrained systems [[electronic resource] /] / Richard Cushman, Hans Duistermaat, Jędrzej Śniatycki
Autore Cushman Richard H. <1942->
Edizione [1st ed.]
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ, : World Scientific, c2010
Descrizione fisica 1 online resource (421 p.)
Disciplina 516.3/6
Altri autori (Persone) DuistermaatJ. J <1942-2010.> (Johannes Jisse)
ŚniatyckiJędrzej
Collana Advanced series in nonlinear dynamics
Soggetto topico Nonholonomic dynamical systems
Geometry, Differential
Rigidity (Geometry)
Caratheodory measure
ISBN 1-282-76167-6
9786612761676
981-4289-49-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Acknowledgments; Foreword; 1. Nonholonomically constrained motions; 1.1 Newton's equations; 1.2 Constraints; 1.3 Lagrange-d'Alembert equations; 1.4 Lagrange derivative in a trivialization; 1.5 Hamilton-d'Alembert equations; 1.6 Distributional Hamiltonian formulation; 1.6.1 The symplectic distribution (H,); 1.6.2 H and in a trivialization; 1.6.3 Distributional Hamiltonian vector field; 1.7 Almost Poisson brackets; 1.7.1 Hamilton's equations; 1.7.2 Nonholonomic Dirac brackets; 1.8 Momenta and momentum equation; 1.8.1 Momentum functions; 1.8.2 Momentum equations
1.8.3 Homogeneous functions1.8.4 Momenta as coordinates; 1.9 Projection principle; 1.10 Accessible sets; 1.11 Constants of motion; 1.12 Notes; 2. Group actions and orbit spaces; 2.1 Group actions; 2.2 Orbit spaces; 2.3 Isotropy and orbit types; 2.3.1 Isotropy types; 2.3.2 Orbit types; 2.3.3 When the action is proper; 2.3.4 Stratification on by orbit types; 2.4 Smooth structure on an orbit space; 2.4.1 Differential structure; 2.4.2 The orbit space as a differential space; 2.5 Subcartesian spaces; 2.6 Stratification of the orbit space by orbit types; 2.6.1 Orbit types in an orbit space
2.6.2 Stratification of an orbit space2.6.3 Minimality of S; 2.7 Derivations and vector fields on a differential space; 2.8 Vector fields on a stratified differential space; 2.9 Vector fields on an orbit space; 2.10 Tangent objects to an orbit space; 2.10.1 Stratified tangent bundle; 2.10.2 Zariski tangent bundle; 2.10.3 Tangent cone; 2.10.4 Tangent wedge; 2.11 Notes; 3. Symmetry and reductio; 3.1 Dynamical systems with symmetry; 3.1.1 Invariant vector fields; 3.1.2 Reduction of symmetry; 3.1.3 Reduction for or a free and proper G-action; 3.1.4 Reduction of a nonfree, proper G-action
3.2 Nonholonomic singular reduction for a proper action3.3 Nonholonomic reduction for a free and proper action; 3.4 Chaplygin systems; 3.5 Orbit types and reduction; 3.6 Conservation laws; 3.6.1 Momentum map; 3.6.2 Gauge momenta; 3.7 Lifted actions and the momentum equation; 3.7.1 Lifted actions; 3.7.2 Momentum equation; 3.8 Notes; 4.Reconstruction, relative equilibria and relative periodic orbits; 4.1 Reconstruction; 4.1.1 Reconstruction for proper free actions; 4.1.2 Reconstruction for nonfree proper actions; 4.1.3 Application to nonholonomic systems; 4.2 Relative equilibria
4.2.1 Basic properties4.2.2 Quasiperiodic relative equilibria; 4.2.3 Runaway relative equilibria; 4.2.4 Relative equilibria when the action is not free; 4.2.5 Other relative equilibria in a G-orbit; 4.2.5.1 When the G-action is free; 4.2.5.2 When the G-action is not free; 4.2.6 Smooth families of quasiperiodic relative equilibria; 4.2.6.1 Elliptic, regular, and stably elliptic elements of g; 4.2.6.2 When the G-action is free and proper; 4.2.6.3 When the G-action is proper but not free; 4.3 Relative periodic orbits; 4.3.1 Basic properties; 4.3.2 Quasiperiodic relative periodic orbits
4.3.3 Runaway relative period orbits
Record Nr. UNINA-9910810615503321
Cushman Richard H. <1942->  
Singapore ; ; Hackensack, NJ, : World Scientific, c2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Near Extensions and Alignment of Data in R^n : Whitney Extensions of near Isometries, Shortest Paths, Equidistribution, Clustering and Non-Rigid Alignment of Data in Euclidean Space / / Steven B. Damelin
Near Extensions and Alignment of Data in R^n : Whitney Extensions of near Isometries, Shortest Paths, Equidistribution, Clustering and Non-Rigid Alignment of Data in Euclidean Space / / Steven B. Damelin
Autore Damelin Steven B.
Edizione [First edition.]
Pubbl/distr/stampa Hoboken, NJ : , : John Wiley & Sons Ltd, , [2024]
Descrizione fisica 1 online resource (186 pages)
Disciplina 516.3
Soggetto topico Geometry, Analytic
Mathematical analysis
Rigidity (Geometry)
Nomography (Mathematics)
Euclidean algorithm
Isometrics (Mathematics)
ISBN 1-394-19681-4
1-394-19679-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Near Extensions and Alignment of Data in R -- Contents -- Preface -- Overview -- Structure -- 1 Variants 1-2 -- 1.1 The Whitney Extension Problem -- 1.2 Variants (1-2) -- 1.3 Variant 2 -- 1.4 Visual Object Recognition and an Equivalence Problem in R -- 1.5 Procrustes: The Rigid Alignment Problem -- 1.6 Non-rigid Alignment -- 2 Building -distortions: Slow Twists, Slides -- 2.1 c-distorted Diffeomorphisms -- 2.2 Slow Twists -- 2.3 Slides -- 2.4 Slow Twists: Action -- 2.5 Fast Twists -- 2.6 Iterated Slow Twists -- 2.7 Slides: Action -- 2.8 Slides at Different Distances -- 2.9 3D Motions -- 2.10 3D Slides -- 2.11 Slow Twists and Slides: Theorem 2.1 -- 2.12 Theorem 2.2 -- 3 Counterexample to Theorem 2.2 (part (1)) for card (E )> -- d -- 3.1 Theorem 2.2 (part (1)), Counterexample: k> -- d -- 3.2 Removing the Barrier k> -- d in Theorem 2.2 (part (1)) -- 4 Manifold Learning, Near-isometric Embeddings, Compressed Sensing, Johnson-Lindenstrauss and Some Applications Related to the near Whitney extension problem -- 4.1 Manifold and Deep Learning Via c-distorted Diffeomorphisms -- 4.2 Near Isometric Embeddings, Compressive Sensing, Johnson-Lindenstrauss and Applications Related to c-distorted Diffeomorphisms -- 4.3 Restricted Isometry -- 5 Clusters and Partitions -- 5.1 Clusters and Partitions -- 5.2 Similarity Kernels and Group Invariance -- 5.3 Continuum Limits of Shortest Paths Through Random Points and Shortest Path Clustering -- 5.3.1 Continuum Limits of Shortest Paths Through Random Points: The Observation -- 5.3.2 Continuum Limits of Shortest Paths Through Random Points: The Set Up -- 5.4 Theorem 5.6 -- 5.5 p-powerWeighted Shortest Path Distance and Longest-leg Path Distance -- 5.6 p-wspm,Well Separation Algorithm Fusion -- 5.7 Hierarchical Clustering in Rd -- 6 The Proof of Theorem 2.3 -- 6.1 Proof of Theorem 2.3 (part(2)).
6.2 A Special Case of the Proof of Theorem 2.3 (part (1)) -- 6.3 The Remaining Proof of Theorem 2.3 (part (1)) -- 7 Tensors, Hyperplanes, Near Reflections, Constants ( , , K) -- 7.1 Hyperplane -- We Meet the Positive Constant -- 7.2 "Well Separated" -- We Meet the Positive Constant -- 7.3 Upper Bound for Card (E) -- We Meet the Positive Constant K -- 7.4 Theorem 7.11 -- 7.5 Near Reflections -- 7.6 Tensors,Wedge Product, and Tensor Product -- 8 Algebraic Geometry: Approximation-varieties, Lojasiewicz, Quantification: ( , )-Theorem 2.2 (part (2)) -- 8.1 Min-max Optimization and Approximation-varieties -- 8.2 Min-max Optimization and Convexity -- 9 Building -distortions: Near Reflections -- 9.1 Theorem 9.14 -- 9.2 Proof of Theorem 9.14 -- 10 -distorted diffeomorphisms, O(d) and Functions of Bounded Mean Oscillation (BMO) -- 10.1 BMO -- 10.2 The John-Nirenberg Inequality -- 10.3 Main Results -- 10.4 Proof of Theorem 10.17 -- 10.5 Proof of Theorem 10.18 -- 10.6 Proof of Theorem 10.19 -- 10.7 An Overdetermined System -- 10.8 Proof of Theorem 10.16 -- 11 Results: A Revisit of Theorem 2.2 (part (1)) -- 11.1 Theorem 11.21 -- 11.2 blocks -- 11.3 Finiteness Principle -- 12 Proofs: Gluing and Whitney Machinery -- 12.1 Theorem 11.23 -- 12.2 The Gluing Theorem -- 12.3 Hierarchical Clusterings of Finite Subsets of Rd Revisited -- 12.4 Proofs of Theorem 11.27 and Theorem 11.28 -- 12.5 Proofs of Theorem 11.31, Theorem 11.30 and Theorem 11.29 -- 13 Extensions of Smooth Small Distortions [41]: Introduction -- 13.1 Class of Sets E -- 13.2 Main Result -- 14 Extensions of Smooth Small Distortions: First Results -- Lemma 14.1 -- Lemma 14.2 -- Lemma 14.3 -- Lemma 14.4 -- Lemma 14.5 -- 15 Extensions of Smooth Small Distortions: Cubes, Partitions of Unity, Whitney Machinery -- 15.1 Cubes -- 15.2 Partition of Unity -- 15.3 Regularized Distance.
16 Extensions of Smooth Small Distortions: Picking Motions -- Lemma 16.1 -- Lemma 16.2 -- 17 Extensions of Smooth Small Distortions: Unity Partitions -- 18 Extensions of Smooth Small Distortions: Function Extension -- Lemma 18.1 -- Lemma 18.2 -- 19 Equidistribution: Extremal Newtonian-like Configurations, Group Invariant Discrepancy, Finite Fields, Combinatorial Designs, Linear Independent Vectors, Matroids and the Maximum Distance Separable Conjecture -- 19.1 s-extremal Configurations and Newtonian s-energy -- 19.2 [−1, 1] -- 19.2.1 Critical Transition -- 19.2.2 Distribution of s-extremal Configurations -- 19.2.3 Equally Spaced Points for Interpolation -- 19.3 The n-dimensional Sphere, Sn Embedded in Rn +1 -- 19.3.1 Critical Transition -- 19.4 Torus -- 19.5 Separation Radius and Mesh Norm for s-extremal Configurations -- 19.5.1 Separation Radius of s> -- n-extremal Configurations on a Set Yn -- 19.5.2 Separation Radius of s< -- n − 1-extremal Configurations on Sn -- 19.5.3 Mesh Norm of s-extremal Configurations on a Set Yn -- 19.6 Discrepancy of Measures, Group Invariance -- 19.7 Finite Field Algorithm -- 19.7.1 Examples -- 19.7.2 Spherical ̂t-designs -- 19.7.3 Extension to Finite Fields of Odd Prime Powers -- 19.8 Combinatorial Designs, Linearly Independent Vectors, MDS Conjecture -- 19.8.1 The Case q=2 -- 19.8.2 The General Case -- 19.8.3 The Maximum Distance Separable Conjecture -- 20 Covering of SU(2) and Quantum Lattices -- 20.1 Structure of SU(2) -- 20.2 Universal Sets -- 20.3 Covering Exponent -- 20.4 An Efficient Universal Set in PSU(2) -- 21 The Unlabeled Correspondence Configuration Problem and Optimal Transport -- 21.1 Unlabeled Correspondence Configuration Problem -- 21.1.1 Non-reconstructible Configurations -- 21.1.2 Example -- 21.1.3 Partition Into Polygons -- 21.1.4 Considering Areas of Triangles-10-step Algorithm.
21.1.5 Graph Point of View -- 21.1.6 Considering Areas of Quadrilaterals -- 21.1.7 Partition Into Polygons for Small Distorted Pairwise Distances -- 21.1.8 Areas of Triangles for Small Distorted Pairwise Distances -- 21.1.9 Considering Areas of Triangles (part 2) -- 21.1.10 Areas of Quadrilaterals for Small Distorted Pairwise Distances -- 21.1.11 Considering Areas of Quadrilaterals (part 2) -- 22 A Short Section on Optimal Transport -- 23 Conclusion -- References -- Index -- EULA.
Record Nr. UNINA-9910830377603321
Damelin Steven B.  
Hoboken, NJ : , : John Wiley & Sons Ltd, , [2024]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Quasi-actions on trees II : finite depth Bass-Serre trees / / Lee Mosher, Michah Sageev, Kevin Whyte
Quasi-actions on trees II : finite depth Bass-Serre trees / / Lee Mosher, Michah Sageev, Kevin Whyte
Autore Mosher Lee <1957->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2011
Descrizione fisica 1 online resource (105 p.)
Disciplina 512/.2
Collana Memoirs of the American Mathematical Society
Soggetto topico Geometric group theory
Rigidity (Geometry)
Soggetto genere / forma Electronic books.
ISBN 1-4704-0625-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""1.1. Example applications""; ""1.2. The methods of proof: a special case""; ""1.3. The general setting""; ""1.4. Statements of results""; ""1.5. Structure of the paper""; ""Chapter 2. Preliminaries""; ""2.1. Coarse language""; ""2.2. Coarse properties of subgroups""; ""2.3. Coboundedness principle""; ""2.4. Bass-Serre trees and Bass-Serre complexes""; ""2.5. Irreducible graphs of groups""; ""2.6. Coarse PD(n) spaces and groups""; ""2.7. The methods of proof: the general case""; ""Chapter 3. Depth Zero Vertex Rigidity""
""3.1. A sufficient condition for depth zero vertex rigidity""""3.2. Proof of the Depth Zero Vertex Rigidity Theorem""; ""Chapter 4. Finite Depth Graphs of Groups""; ""4.1. Definitions and examples""; ""4.2. Proof of the Vertex�Edge Rigidity Theorem 2.11""; ""4.3. Reduction of finite depth graphs of groups""; ""Chapter 5. Tree Rigidity""; ""5.1. Examples and motivations""; ""5.2. Outline of the Tree Rigidity Theorem""; ""5.3. Special case: isolated edge spaces""; ""5.4. Special case: all edges have depth one""; ""5.4.1. Proof of Lemma 5.5: an action on a 2-complex""
""5.4.2. Proof of the Tracks Theorem 5.7""""5.5. Proof of the Tree Rigidity Theorem""; ""Chapter 6. Main Theorems""; ""Chapter 7. Applications and Examples""; ""7.1. Patterns of edge spaces in a vertex space""; ""7.2. Hn vertex groups and Z edge groups""; ""7.3. H3 vertex groups and surface fiber edge groups""; ""7.4. Surface vertex groups and cyclic edge groups""; ""7.5. Graphs of abelian groups""; ""7.6. Quasi-isometry groups and classification""; ""Bibliography""; ""Index""
Record Nr. UNINA-9910480232603321
Mosher Lee <1957->  
Providence, Rhode Island : , : American Mathematical Society, , 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Quasi-actions on trees II : finite depth Bass-Serre trees / / Lee Mosher, Michah Sageev, Kevin Whyte
Quasi-actions on trees II : finite depth Bass-Serre trees / / Lee Mosher, Michah Sageev, Kevin Whyte
Autore Mosher Lee <1957->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2011
Descrizione fisica 1 online resource (105 p.)
Disciplina 512/.2
Collana Memoirs of the American Mathematical Society
Soggetto topico Geometric group theory
Rigidity (Geometry)
ISBN 1-4704-0625-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""1.1. Example applications""; ""1.2. The methods of proof: a special case""; ""1.3. The general setting""; ""1.4. Statements of results""; ""1.5. Structure of the paper""; ""Chapter 2. Preliminaries""; ""2.1. Coarse language""; ""2.2. Coarse properties of subgroups""; ""2.3. Coboundedness principle""; ""2.4. Bass-Serre trees and Bass-Serre complexes""; ""2.5. Irreducible graphs of groups""; ""2.6. Coarse PD(n) spaces and groups""; ""2.7. The methods of proof: the general case""; ""Chapter 3. Depth Zero Vertex Rigidity""
""3.1. A sufficient condition for depth zero vertex rigidity""""3.2. Proof of the Depth Zero Vertex Rigidity Theorem""; ""Chapter 4. Finite Depth Graphs of Groups""; ""4.1. Definitions and examples""; ""4.2. Proof of the Vertex�Edge Rigidity Theorem 2.11""; ""4.3. Reduction of finite depth graphs of groups""; ""Chapter 5. Tree Rigidity""; ""5.1. Examples and motivations""; ""5.2. Outline of the Tree Rigidity Theorem""; ""5.3. Special case: isolated edge spaces""; ""5.4. Special case: all edges have depth one""; ""5.4.1. Proof of Lemma 5.5: an action on a 2-complex""
""5.4.2. Proof of the Tracks Theorem 5.7""""5.5. Proof of the Tree Rigidity Theorem""; ""Chapter 6. Main Theorems""; ""Chapter 7. Applications and Examples""; ""7.1. Patterns of edge spaces in a vertex space""; ""7.2. Hn vertex groups and Z edge groups""; ""7.3. H3 vertex groups and surface fiber edge groups""; ""7.4. Surface vertex groups and cyclic edge groups""; ""7.5. Graphs of abelian groups""; ""7.6. Quasi-isometry groups and classification""; ""Bibliography""; ""Index""
Altri titoli varianti Quasi-actions on trees 2
Record Nr. UNINA-9910788867403321
Mosher Lee <1957->  
Providence, Rhode Island : , : American Mathematical Society, , 2011
Materiale a stampa
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