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A proof of Alon's second eigenvalue conjecture and related problems / / Joel Friedman
| A proof of Alon's second eigenvalue conjecture and related problems / / Joel Friedman |
| Autore | Friedman Joel <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina | 512.9/436 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Eigenvalues |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0516-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Problems with the Standard Trace Method""; ""1. The Trace Method""; ""2. Limitations of the Trace Expansion""; ""Chapter 3. Background and Terminology""; ""1. Graph Terminology""; ""2. Variable-Length Graphs and Subdivisions""; ""3. λ[sub(1)] of a VLG""; ""4. Shannon's Algorithm and Formal Series""; ""5. Limiting Graphs""; ""6. Irreducible Eigenvalues""; ""7. λ[sub(1)] and Closed Walks for Infinite Graphs""; ""8. A Curious Theorem""; ""Chapter 4. Tangles""; ""Chapter 5. Walk Sums and New Types""; ""1. Walk sums""; ""2. The Loop""
""3. Forms, Types, and New Types""""4. Motivation of Types and New Types""; ""Chapter 6. The Selective Trace""; ""1. The General Selective Trace""; ""2. A Lemma on Selective Walks""; ""3. Determining Ï?[sub(fund)] for G[sub(n,d)]""; ""4. Determining Ï?[sub(fund)] for H[sub(n,d)], I[sub(n,d)], and J[sub(n,d)]""; ""Chapter 7. Ramanujan Functions""; ""Chapter 8. An Expansion for Some Selective Traces""; ""Chapter 9. Selective Traces In Graphs With (Without) Tangles""; ""Chapter 10. Strongly Irreducible Traces""; ""Chapter 11. A Sidestepping Lemma""; ""Chapter 12. Magnification Theorems"" ""Chapter 13. Finishing the G[sub(n,d)] Proof""""Chapter 14. Finishing the Proofs of the Main Theorems""; ""Chapter 15. Closing Remarks""; ""Glossary""; ""Bibliography"" |
| Record Nr. | UNINA-9910480624303321 |
Friedman Joel <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A proof of Alon's second eigenvalue conjecture and related problems / / Joel Friedman
| A proof of Alon's second eigenvalue conjecture and related problems / / Joel Friedman |
| Autore | Friedman Joel <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina | 512.9/436 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Eigenvalues |
| ISBN | 1-4704-0516-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Problems with the Standard Trace Method""; ""1. The Trace Method""; ""2. Limitations of the Trace Expansion""; ""Chapter 3. Background and Terminology""; ""1. Graph Terminology""; ""2. Variable-Length Graphs and Subdivisions""; ""3. λ[sub(1)] of a VLG""; ""4. Shannon's Algorithm and Formal Series""; ""5. Limiting Graphs""; ""6. Irreducible Eigenvalues""; ""7. λ[sub(1)] and Closed Walks for Infinite Graphs""; ""8. A Curious Theorem""; ""Chapter 4. Tangles""; ""Chapter 5. Walk Sums and New Types""; ""1. Walk sums""; ""2. The Loop""
""3. Forms, Types, and New Types""""4. Motivation of Types and New Types""; ""Chapter 6. The Selective Trace""; ""1. The General Selective Trace""; ""2. A Lemma on Selective Walks""; ""3. Determining Ï?[sub(fund)] for G[sub(n,d)]""; ""4. Determining Ï?[sub(fund)] for H[sub(n,d)], I[sub(n,d)], and J[sub(n,d)]""; ""Chapter 7. Ramanujan Functions""; ""Chapter 8. An Expansion for Some Selective Traces""; ""Chapter 9. Selective Traces In Graphs With (Without) Tangles""; ""Chapter 10. Strongly Irreducible Traces""; ""Chapter 11. A Sidestepping Lemma""; ""Chapter 12. Magnification Theorems"" ""Chapter 13. Finishing the G[sub(n,d)] Proof""""Chapter 14. Finishing the Proofs of the Main Theorems""; ""Chapter 15. Closing Remarks""; ""Glossary""; ""Bibliography"" |
| Record Nr. | UNINA-9910788852503321 |
|
Friedman Joel <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A proof of Alon's second eigenvalue conjecture and related problems / / Joel Friedman
| A proof of Alon's second eigenvalue conjecture and related problems / / Joel Friedman |
| Autore | Friedman Joel <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (114 p.) |
| Disciplina | 512.9/436 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Eigenvalues |
| ISBN | 1-4704-0516-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Problems with the Standard Trace Method""; ""1. The Trace Method""; ""2. Limitations of the Trace Expansion""; ""Chapter 3. Background and Terminology""; ""1. Graph Terminology""; ""2. Variable-Length Graphs and Subdivisions""; ""3. λ[sub(1)] of a VLG""; ""4. Shannon's Algorithm and Formal Series""; ""5. Limiting Graphs""; ""6. Irreducible Eigenvalues""; ""7. λ[sub(1)] and Closed Walks for Infinite Graphs""; ""8. A Curious Theorem""; ""Chapter 4. Tangles""; ""Chapter 5. Walk Sums and New Types""; ""1. Walk sums""; ""2. The Loop""
""3. Forms, Types, and New Types""""4. Motivation of Types and New Types""; ""Chapter 6. The Selective Trace""; ""1. The General Selective Trace""; ""2. A Lemma on Selective Walks""; ""3. Determining Ï?[sub(fund)] for G[sub(n,d)]""; ""4. Determining Ï?[sub(fund)] for H[sub(n,d)], I[sub(n,d)], and J[sub(n,d)]""; ""Chapter 7. Ramanujan Functions""; ""Chapter 8. An Expansion for Some Selective Traces""; ""Chapter 9. Selective Traces In Graphs With (Without) Tangles""; ""Chapter 10. Strongly Irreducible Traces""; ""Chapter 11. A Sidestepping Lemma""; ""Chapter 12. Magnification Theorems"" ""Chapter 13. Finishing the G[sub(n,d)] Proof""""Chapter 14. Finishing the Proofs of the Main Theorems""; ""Chapter 15. Closing Remarks""; ""Glossary""; ""Bibliography"" |
| Record Nr. | UNINA-9910819101303321 |
|
Friedman Joel <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Sheaves on graphs, their homological invariants, and a proof of the Hanna Neumann conjecture / / Joel Friedman ; with an Appendix by Warren Dicks
| Sheaves on graphs, their homological invariants, and a proof of the Hanna Neumann conjecture / / Joel Friedman ; with an Appendix by Warren Dicks |
| Autore | Friedman Joel <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina | 514/.224 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Sheaf theory
Vector spaces Vector analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1968-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""2.3. Graph Theoretic Formulation of the SHNC""""2.4. Galois and Covering Theory in the SHNC""; ""2.5. -kernels""; ""2.6. Symmetry and Algebra of the Excess""; ""2.7. Variability of -th Power Kernels""; ""2.8. Proof of the SHNC""; ""2.9. Concluding Remarks""; ""Appendix A. A Direct View of -Kernels""; ""Appendix B. Joel Friedman�s Proof of the strengthened Hanna Neumann conjecture by Warren Dicks""; ""B.1. Sheaves on graphs""; ""B.2. Free groups and graphs""; ""B.3. The strengthened Hanna Neumann conjecture""; ""Bibliography""; ""Back Cover"" |
| Record Nr. | UNINA-9910478913803321 |
|
Friedman Joel <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Sheaves on graphs, their homological invariants, and a proof of the Hanna Neumann conjecture / / Joel Friedman ; with an Appendix by Warren Dicks
| Sheaves on graphs, their homological invariants, and a proof of the Hanna Neumann conjecture / / Joel Friedman ; with an Appendix by Warren Dicks |
| Autore | Friedman Joel <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina | 514/.224 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Sheaf theory
Vector spaces Vector analysis |
| ISBN | 1-4704-1968-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""2.3. Graph Theoretic Formulation of the SHNC""""2.4. Galois and Covering Theory in the SHNC""; ""2.5. -kernels""; ""2.6. Symmetry and Algebra of the Excess""; ""2.7. Variability of -th Power Kernels""; ""2.8. Proof of the SHNC""; ""2.9. Concluding Remarks""; ""Appendix A. A Direct View of -Kernels""; ""Appendix B. Joel Friedman�s Proof of the strengthened Hanna Neumann conjecture by Warren Dicks""; ""B.1. Sheaves on graphs""; ""B.2. Free groups and graphs""; ""B.3. The strengthened Hanna Neumann conjecture""; ""Bibliography""; ""Back Cover"" |
| Record Nr. | UNINA-9910797017303321 |
|
Friedman Joel <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Sheaves on graphs, their homological invariants, and a proof of the Hanna Neumann conjecture / / Joel Friedman ; with an Appendix by Warren Dicks
| Sheaves on graphs, their homological invariants, and a proof of the Hanna Neumann conjecture / / Joel Friedman ; with an Appendix by Warren Dicks |
| Autore | Friedman Joel <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina | 514/.224 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Sheaf theory
Vector spaces Vector analysis |
| ISBN | 1-4704-1968-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""2.3. Graph Theoretic Formulation of the SHNC""""2.4. Galois and Covering Theory in the SHNC""; ""2.5. -kernels""; ""2.6. Symmetry and Algebra of the Excess""; ""2.7. Variability of -th Power Kernels""; ""2.8. Proof of the SHNC""; ""2.9. Concluding Remarks""; ""Appendix A. A Direct View of -Kernels""; ""Appendix B. Joel Friedman�s Proof of the strengthened Hanna Neumann conjecture by Warren Dicks""; ""B.1. Sheaves on graphs""; ""B.2. Free groups and graphs""; ""B.3. The strengthened Hanna Neumann conjecture""; ""Bibliography""; ""Back Cover"" |
| Record Nr. | UNINA-9910826589403321 |
|
Friedman Joel <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||