Differential geometry and its applications [[electronic resource] /] / John Oprea |
Autore | Oprea John |
Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, c2007 |
Descrizione fisica | 1 online resource (501 p.) |
Disciplina | 516.3/6 |
Collana | Classroom resource materials |
Soggetto topico | Geometry, Differential |
ISBN | 1-61444-608-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""cover ""; ""copyright page ""; ""title page ""; ""Contents""; ""Preface""; ""The Point of this Book""; ""Projects""; ""Prerequisites""; ""Book Features""; ""Elliptic Functions and Maple Note""; ""Thanks""; ""For Users of Previous Editions""; ""Maple 8 to 9""; ""Note to Students""; ""1 The Geometry of Curves""; ""1.1 Introduction""; ""1.2 Arclength Parametrization""; ""1.3 Frenet Formulas""; ""1.4 Non-Unit Speed Curves""; ""1.5 Some Implications of Curvature and Torsion""; ""1.6 Green�s Theorem and the Isoperimetric Inequality""; ""1.7 The Geometry of Curves and Maple""; ""2 Surfaces""
""2.1 Introduction""""Examples of Patches (or Parametrizations) on Surfaces""; ""2.2 The Geometry of Surfaces""; ""2.3 The Linear Algebra of Surfaces""; ""2.4 Normal Curvature""; ""2.5 Surfaces and Maple""; ""3 Curvatures""; ""3.1 Introduction""; ""3.2 Calculating Curvature""; ""3.3 Surfaces of Revolution""; ""3.4 A Formula for Gauss Curvature""; ""3.5 Some Effects of Curvature(s)""; ""3.6 Surfaces of Delaunay""; ""3.7 Elliptic Functions, Maple and Geometry""; ""3.8 Calculating Curvature with Maple""; ""4 Constant Mean Curvature Surfaces""; ""4.1 Introduction"" ""4.2 First Notions in Minimal Surfaces""""4.3 Area Minimization""; ""4.4 Constant Mean Curvature""; ""4.5 Harmonic Functions""; ""4.6 Complex Variables""; ""4.7 Isothermal Coordinates""; ""4.8 The Weierstrass-Enneper Representations""; ""4.9 Maple and Minimal Surfaces""; ""4.9.1 Minimal Surface Plots""; ""4.9.2 The Minimal Surface Equation""; ""4.9.3 A Geometric Condition: Minimal Surfaces of Revolution""; ""4.9.4 An Algebraic Condition""; ""4.9.5 Maple and Area Minimization""; ""4.9.6 Maple and the Weierstrass- Enneper Representation""; ""Special color pages "" ""A geodesic on an ellipsoid""""A closed geodesic on an unduloid""; ""A non-closed geodesic on an unduloid""; ""Catalan�s surface""; ""A perturbed Boy�s surface""; ""Enneper�s surface""; ""A helicoid""; ""Henneberg�s surface""; ""A planar lines of curvature surface""; ""A twisted cylinder""; ""Scherk�s fifth surface""; ""Another view of the Bat""; ""5 Geodesics, Metrics and Isometries""; ""5.1 Introduction""; ""5.2 The Geodesic Equations and the Clairaut Relation""; ""5.3 A Brief Digression on Completeness""; ""5.4 Surfaces not in R^3""; ""5.5 Isometries and Conformal Maps"" ""5.6 Geodesics and Maple""""5.6.1 Plotting Geodesics""; ""5.6.2 Geodesics on the Cone""; ""5.6.3 Geodesics on the Cylinder""; ""5.6.4 Geodesics on the Unduloid""; ""5.6.5 Geodesics on Surfaces not in R^3""; ""5.6.6 Stereographic and Mercator Projections""; ""5.7 An Industrial Application""; ""6 Holonomy and the Gauss-Bonnet Theorem""; ""6.1 Introduction""; ""6.2 The Covariant Derivative Revisited""; ""6.3 Parallel Vector Fields and Holonomy""; ""6.4 Foucault�s Pendulum""; ""6.5 The Angle Excess Theorem""; ""6.6 The Gauss-Bonnet Theorem""; ""6.7 Applications of Gauss-Bonnet"" ""6.8 Geodesic Polar Coordinates"" |
Record Nr. | UNINA-9910785724203321 |
Oprea John
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||
Washington, D.C., : Mathematical Association of America, c2007 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential geometry and its applications [[electronic resource] /] / John Oprea |
Autore | Oprea John |
Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, c2007 |
Descrizione fisica | 1 online resource (501 p.) |
Disciplina | 516.3/6 |
Collana | Classroom resource materials |
Soggetto topico | Geometry, Differential |
ISBN | 1-61444-608-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""cover ""; ""copyright page ""; ""title page ""; ""Contents""; ""Preface""; ""The Point of this Book""; ""Projects""; ""Prerequisites""; ""Book Features""; ""Elliptic Functions and Maple Note""; ""Thanks""; ""For Users of Previous Editions""; ""Maple 8 to 9""; ""Note to Students""; ""1 The Geometry of Curves""; ""1.1 Introduction""; ""1.2 Arclength Parametrization""; ""1.3 Frenet Formulas""; ""1.4 Non-Unit Speed Curves""; ""1.5 Some Implications of Curvature and Torsion""; ""1.6 Green�s Theorem and the Isoperimetric Inequality""; ""1.7 The Geometry of Curves and Maple""; ""2 Surfaces""
""2.1 Introduction""""Examples of Patches (or Parametrizations) on Surfaces""; ""2.2 The Geometry of Surfaces""; ""2.3 The Linear Algebra of Surfaces""; ""2.4 Normal Curvature""; ""2.5 Surfaces and Maple""; ""3 Curvatures""; ""3.1 Introduction""; ""3.2 Calculating Curvature""; ""3.3 Surfaces of Revolution""; ""3.4 A Formula for Gauss Curvature""; ""3.5 Some Effects of Curvature(s)""; ""3.6 Surfaces of Delaunay""; ""3.7 Elliptic Functions, Maple and Geometry""; ""3.8 Calculating Curvature with Maple""; ""4 Constant Mean Curvature Surfaces""; ""4.1 Introduction"" ""4.2 First Notions in Minimal Surfaces""""4.3 Area Minimization""; ""4.4 Constant Mean Curvature""; ""4.5 Harmonic Functions""; ""4.6 Complex Variables""; ""4.7 Isothermal Coordinates""; ""4.8 The Weierstrass-Enneper Representations""; ""4.9 Maple and Minimal Surfaces""; ""4.9.1 Minimal Surface Plots""; ""4.9.2 The Minimal Surface Equation""; ""4.9.3 A Geometric Condition: Minimal Surfaces of Revolution""; ""4.9.4 An Algebraic Condition""; ""4.9.5 Maple and Area Minimization""; ""4.9.6 Maple and the Weierstrass- Enneper Representation""; ""Special color pages "" ""A geodesic on an ellipsoid""""A closed geodesic on an unduloid""; ""A non-closed geodesic on an unduloid""; ""Catalan�s surface""; ""A perturbed Boy�s surface""; ""Enneper�s surface""; ""A helicoid""; ""Henneberg�s surface""; ""A planar lines of curvature surface""; ""A twisted cylinder""; ""Scherk�s fifth surface""; ""Another view of the Bat""; ""5 Geodesics, Metrics and Isometries""; ""5.1 Introduction""; ""5.2 The Geodesic Equations and the Clairaut Relation""; ""5.3 A Brief Digression on Completeness""; ""5.4 Surfaces not in R^3""; ""5.5 Isometries and Conformal Maps"" ""5.6 Geodesics and Maple""""5.6.1 Plotting Geodesics""; ""5.6.2 Geodesics on the Cone""; ""5.6.3 Geodesics on the Cylinder""; ""5.6.4 Geodesics on the Unduloid""; ""5.6.5 Geodesics on Surfaces not in R^3""; ""5.6.6 Stereographic and Mercator Projections""; ""5.7 An Industrial Application""; ""6 Holonomy and the Gauss-Bonnet Theorem""; ""6.1 Introduction""; ""6.2 The Covariant Derivative Revisited""; ""6.3 Parallel Vector Fields and Holonomy""; ""6.4 Foucault�s Pendulum""; ""6.5 The Angle Excess Theorem""; ""6.6 The Gauss-Bonnet Theorem""; ""6.7 Applications of Gauss-Bonnet"" ""6.8 Geodesic Polar Coordinates"" |
Record Nr. | UNINA-9910824020003321 |
Oprea John
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||
Washington, D.C., : Mathematical Association of America, c2007 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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Differential geometry and physics [[electronic resource] ] : proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, Tianjin, China, 20-26 August 2005 / / editors, Mo-Lin Ge & Weiping Zhang |
Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2006 |
Descrizione fisica | 1 online resource (542 p.) |
Disciplina | 516.3/6 |
Altri autori (Persone) |
GeM. L (Mo-Lin)
ZhangWeiping <1964-> |
Collana | Nankai tracts in mathematics |
Soggetto topico |
Geometry, Differential
Mathematical physics |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-91206-9
9786611912062 981-277-252-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
CONTENTS ; Foreword by Michael Atiyah ; Foreword by Chen Ning Yang ; Preface ; Plenary Lectures ; Yangian and Applications ; The hypoelliptic Laplacian and Chern-Gauss-Bonnet; S. S. Chern and Chern-Simons Terms ; Localization and Conjectures from String Duality
Topologization of Electron Liquids with Chern-Simons Theory and Quantum Computation Invited Contributions ; Quasicrystals: Projections of 5-d Lattice into 2 and 3 Dimensions ; Theoretical Analysis of the Double Spin Chain Compound KCuCl3; Applications of Geometric Cluster Algorithms Equivariant Cohomology and Localization for Lie Algebroids and Applications Directed Percolation in Two Dimensions: An Exact Solution ; Generalized Drinfeld Polynomials for Highest Weight Vectors of the Borel Subalgebra of the sl2 Loop Algebra; On the Physical Significance of q-deformation in Many-body Physics A Matrix Product Ansatz Solution of an Exactly Solvable Interacting Vertex Model A 2h-dimensional Model with Virasoro Symmetry ; 3-dimensional Integrable Lattice Models and the Bazhanov- Stroganov Model ; Exact Solution of Two Planar Polygon Models Quasi-exact Solvability of Dirac Equations Exotic Galilean Symmetry, Non-commutativity & the Hall Effect ; The Energy-momentum and Related Topics in Gravitational Radiation ; Quantum Operators and Hermitian Vector Fields ; Electric-magnetic Duality Beyond Four Dimensions and in General Relativity Topology and Quantum Information |
Record Nr. | UNINA-9910458657103321 |
Hackensack, NJ, : World Scientific, c2006 | ||
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Lo trovi qui: Univ. Federico II | ||
|
Differential geometry and physics [[electronic resource] ] : proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, Tianjin, China, 20-26 August 2005 / / editors, Mo-Lin Ge & Weiping Zhang |
Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2006 |
Descrizione fisica | 1 online resource (542 p.) |
Disciplina | 516.3/6 |
Altri autori (Persone) |
GeM. L (Mo-Lin)
ZhangWeiping <1964-> |
Collana | Nankai tracts in mathematics |
Soggetto topico |
Geometry, Differential
Mathematical physics |
ISBN |
1-281-91206-9
9786611912062 981-277-252-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
CONTENTS ; Foreword by Michael Atiyah ; Foreword by Chen Ning Yang ; Preface ; Plenary Lectures ; Yangian and Applications ; The hypoelliptic Laplacian and Chern-Gauss-Bonnet; S. S. Chern and Chern-Simons Terms ; Localization and Conjectures from String Duality
Topologization of Electron Liquids with Chern-Simons Theory and Quantum Computation Invited Contributions ; Quasicrystals: Projections of 5-d Lattice into 2 and 3 Dimensions ; Theoretical Analysis of the Double Spin Chain Compound KCuCl3; Applications of Geometric Cluster Algorithms Equivariant Cohomology and Localization for Lie Algebroids and Applications Directed Percolation in Two Dimensions: An Exact Solution ; Generalized Drinfeld Polynomials for Highest Weight Vectors of the Borel Subalgebra of the sl2 Loop Algebra; On the Physical Significance of q-deformation in Many-body Physics A Matrix Product Ansatz Solution of an Exactly Solvable Interacting Vertex Model A 2h-dimensional Model with Virasoro Symmetry ; 3-dimensional Integrable Lattice Models and the Bazhanov- Stroganov Model ; Exact Solution of Two Planar Polygon Models Quasi-exact Solvability of Dirac Equations Exotic Galilean Symmetry, Non-commutativity & the Hall Effect ; The Energy-momentum and Related Topics in Gravitational Radiation ; Quantum Operators and Hermitian Vector Fields ; Electric-magnetic Duality Beyond Four Dimensions and in General Relativity Topology and Quantum Information |
Record Nr. | UNINA-9910784757203321 |
Hackensack, NJ, : World Scientific, c2006 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential geometry and physics [[electronic resource] ] : proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, Tianjin, China, 20-26 August 2005 / / editors, Mo-Lin Ge & Weiping Zhang |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2006 |
Descrizione fisica | 1 online resource (542 p.) |
Disciplina | 516.3/6 |
Altri autori (Persone) |
GeM. L (Mo-Lin)
ZhangWeiping <1964-> |
Collana | Nankai tracts in mathematics |
Soggetto topico |
Geometry, Differential
Mathematical physics |
ISBN |
1-281-91206-9
9786611912062 981-277-252-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
CONTENTS ; Foreword by Michael Atiyah ; Foreword by Chen Ning Yang ; Preface ; Plenary Lectures ; Yangian and Applications ; The hypoelliptic Laplacian and Chern-Gauss-Bonnet; S. S. Chern and Chern-Simons Terms ; Localization and Conjectures from String Duality
Topologization of Electron Liquids with Chern-Simons Theory and Quantum Computation Invited Contributions ; Quasicrystals: Projections of 5-d Lattice into 2 and 3 Dimensions ; Theoretical Analysis of the Double Spin Chain Compound KCuCl3; Applications of Geometric Cluster Algorithms Equivariant Cohomology and Localization for Lie Algebroids and Applications Directed Percolation in Two Dimensions: An Exact Solution ; Generalized Drinfeld Polynomials for Highest Weight Vectors of the Borel Subalgebra of the sl2 Loop Algebra; On the Physical Significance of q-deformation in Many-body Physics A Matrix Product Ansatz Solution of an Exactly Solvable Interacting Vertex Model A 2h-dimensional Model with Virasoro Symmetry ; 3-dimensional Integrable Lattice Models and the Bazhanov- Stroganov Model ; Exact Solution of Two Planar Polygon Models Quasi-exact Solvability of Dirac Equations Exotic Galilean Symmetry, Non-commutativity & the Hall Effect ; The Energy-momentum and Related Topics in Gravitational Radiation ; Quantum Operators and Hermitian Vector Fields ; Electric-magnetic Duality Beyond Four Dimensions and in General Relativity Topology and Quantum Information |
Record Nr. | UNINA-9910824298203321 |
Hackensack, NJ, : World Scientific, c2006 | ||
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Lo trovi qui: Univ. Federico II | ||
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Differential geometry of singular spaces and reduction of symmetry / / J. Śniatycki, Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada [[electronic resource]] |
Autore | Śniatycki Jędrzej |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
Descrizione fisica | 1 online resource (xii, 235 pages) : digital, PDF file(s) |
Disciplina | 516.3/6 |
Collana | New mathematical monographs |
Soggetto topico |
Geometry, Differential
Function spaces Symmetry (Mathematics) |
ISBN |
1-139-88895-1
1-107-05451-6 1-107-05905-4 1-139-13699-2 1-107-05559-8 1-107-05780-9 1-107-05668-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- 1. Introduction -- Part I. Differential Geometry of Singular Spaces: 2. Differential structures; 3. Derivations; 4. Stratified spaces; 5. Differential forms -- Part II. Reduction of Symmetries: 6. Symplectic reduction; 7. Commutation of quantization and reduction; 8. Further examples of reduction. |
Altri titoli varianti | Differential Geometry of Singular Spaces & Reduction of Symmetry |
Record Nr. | UNINA-9910452484303321 |
Śniatycki Jędrzej
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Cambridge : , : Cambridge University Press, , 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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Differential geometry of singular spaces and reduction of symmetry [[electronic resource] /] / J. Śniatycki |
Autore | Śniatycki Jędrzej |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
Descrizione fisica | 1 online resource (xii, 235 pages) : digital, PDF file(s) |
Disciplina | 516.3/6 |
Collana | New mathematical monographs |
Soggetto topico |
Geometry, Differential
Function spaces Symmetry (Mathematics) |
ISBN |
1-107-06512-7
1-139-88895-1 1-107-05451-6 1-107-05905-4 1-139-13699-2 1-107-05559-8 1-107-05780-9 1-107-05668-3 |
Classificazione | MAT038000 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- 1. Introduction -- Part I. Differential Geometry of Singular Spaces: 2. Differential structures; 3. Derivations; 4. Stratified spaces; 5. Differential forms -- Part II. Reduction of Symmetries: 6. Symplectic reduction; 7. Commutation of quantization and reduction; 8. Further examples of reduction. |
Altri titoli varianti | Differential Geometry of Singular Spaces & Reduction of Symmetry |
Record Nr. | UNINA-9910779752603321 |
Śniatycki Jędrzej
![]() |
||
Cambridge : , : Cambridge University Press, , 2013 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential geometry of singular spaces and reduction of symmetry [[electronic resource] /] / J. Śniatycki |
Autore | Śniatycki Jędrzej |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
Descrizione fisica | 1 online resource (xii, 235 pages) : digital, PDF file(s) |
Disciplina | 516.3/6 |
Collana | New mathematical monographs |
Soggetto topico |
Geometry, Differential
Function spaces Symmetry (Mathematics) |
ISBN |
1-107-06512-7
1-139-88895-1 1-107-05451-6 1-107-05905-4 1-139-13699-2 1-107-05559-8 1-107-05780-9 1-107-05668-3 |
Classificazione | MAT038000 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- 1. Introduction -- Part I. Differential Geometry of Singular Spaces: 2. Differential structures; 3. Derivations; 4. Stratified spaces; 5. Differential forms -- Part II. Reduction of Symmetries: 6. Symplectic reduction; 7. Commutation of quantization and reduction; 8. Further examples of reduction. |
Altri titoli varianti | Differential Geometry of Singular Spaces & Reduction of Symmetry |
Record Nr. | UNINA-9910824597603321 |
Śniatycki Jędrzej
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||
Cambridge : , : Cambridge University Press, , 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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Differential geometry, gauge theories, and gravity / M. Göckeler, T. Schücker |
Autore | Göckeler, M. |
Pubbl/distr/stampa | Cambridge, [Cambridgeshire] ; New York : Cambridge University Press, 1987 |
Descrizione fisica | xii, 230 p. : ill ; 24 cm |
Disciplina | 516.3/6 |
Altri autori (Persone) | Schücker, T. |
Collana | Cambridge monographs on mathematical physics |
Soggetto topico |
Geometry, Differential
Gauge fields (Physics) Gravity Mathematical physics |
ISBN | 9780521329606 |
Classificazione | LC QC20.7.D52 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991003805329707536 |
Göckeler, M.
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Cambridge, [Cambridgeshire] ; New York : Cambridge University Press, 1987 | ||
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Lo trovi qui: Univ. del Salento | ||
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Discrete geometric analysis : proceedings of the first JAMS symposium on discrete geometric analysis, December 12-20, 2002, Sendai, Japan / / Motoko Kotani, Tomoyuki Shirai, Toshikazu Sunada, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2004] |
Descrizione fisica | 1 online resource (274 p.) |
Disciplina | 516.3/6 |
Collana | Contemporary mathematics |
Soggetto topico |
Geometry, Differential
Mathematical analysis |
Soggetto genere / forma | Electronic books. |
ISBN |
0-8218-7937-5
0-8218-3351-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Foreword""; ""Preface""; ""On the asymptotic behavior of convolution powers and heat kernels on Lie groups""; ""Some spectral and geometric properties for infinite graphs""; ""1. Introduction""; ""2. Full spectrum property for maximal abelian covering graphs""; ""3. Spectral and geometric constants""; ""4. Line graphs, subdivisions and para-line graphs""; ""5. Problems""; ""References""; ""Asymptotic behavior of a transition probability for a random walk on a nilpotent covering graph""; ""Non-commutative Poisson boundaries""; ""Boundary amenability of hyperbolic spaces""
""Spectral analysis on tree like spaces from gauge theoretic view points""""The Dehn filling space of a certain hyperbolic 3-orbifold""; ""An asymptotic of the large deviation for random walks on a crystal lattice""; ""Heat kernel estimates and law of the iterated logarithm for symmetric random walks on fractal graphs""; ""Finite representations in the unitary dual and Ramanujan groups""; ""Stabilization for SLn in bounded cohomology""; ""Spectral theory of certain arithmetic graphs""; ""Radial geometric analysis on groups""; ""The heat kernel and the Green kernel of an infinite graph"" |
Record Nr. | UNINA-9910480027103321 |
Providence, Rhode Island : , : American Mathematical Society, , [2004] | ||
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Lo trovi qui: Univ. Federico II | ||
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