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Abelian Networks IV. Dynamics of Nonhalting Networks
| Abelian Networks IV. Dynamics of Nonhalting Networks |
| Autore | Chan Swee Hong |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2022 |
| Descrizione fisica | 1 online resource (104 pages) |
| Disciplina |
512/.25
512.25 |
| Altri autori (Persone) | LevineLionel |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Abelian groups
Combinatorics -- Graph theory -- Graphs and abstract algebra (groups, rings, fields, etc.) Group theory and generalizations -- Abelian groups -- Finite abelian groups Group theory and generalizations -- Semigroups -- Commutative semigroups Group theory and generalizations -- Semigroups -- Semigroups in automata theory, linguistics, etc Dynamical systems and ergodic theory -- Topological dynamics -- Cellular automata Dynamical systems and ergodic theory -- Low-dimensional dynamical systems -- Combinatorial dynamics (types of periodic orbits) |
| ISBN |
9781470470241
1470470241 |
| Classificazione | 05C2520K0120M1420M3537B1537E15 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Chapter 1. Introduction -- 1.1. Flashback -- 1.2. Atemporal dynamics -- 1.3. Relating atemporal dynamics to traditional dynamics -- 1.4. Computational questions -- 1.5. The torsion group of a nonhalting abelian network -- 1.6. Critical networks -- 1.7. Example: Rotor networks and abelian mobile agents -- 1.8. Proof ideas -- 1.9. Summary of notation -- Chapter 2. Commutative Monoid Actions -- 2.1. Injective actions and Grothendieck group -- 2.2. The case of finite commutative monoids -- Chapter 3. Review of Abelian Networks -- 3.1. Definition of abelian networks -- 3.2. Legal and complete executions -- 3.3. Locally recurrent states -- 3.4. The production matrix -- 3.5. Subcritical, critical, and supercritical abelian networks -- 3.6. Examples: sandpiles, rotor-routing, toppling, etc -- Chapter 4. The Torsion Group of an Abelian Network -- 4.1. The removal lemma -- 4.2. Recurrent components -- 4.3. Construction of the torsion group -- 4.4. Relations to the critical group in the halting case -- Chapter 5. Critical Networks: Recurrence -- 5.1. Recurrent configurations and the burning test -- 5.2. Thief networks of a critical network -- 5.3. The capacity and the level of a configuration -- 5.4. Stoppable levels: When does the torsion group act transitively? -- Chapter 6. Critical Networks: Dynamics -- 6.1. Activity as a component invariant -- 6.2. Near uniqueness of legal executions -- Chapter 7. Rotor and Agent Networks -- 7.1. The cycle test for recurrence -- 7.2. Counting recurrent components -- 7.3. Determinantal generating functions for recurrent configurations -- Chapter 8. Concluding Remarks -- 8.1. A unified notion of recurrence and burning test -- 8.2. Forbidden subconfiguration test for recurrence -- 8.3. Number of recurrent configurations in a recurrent component -- Acknowledgement -- Bibliography -- Back Cover. |
| Record Nr. | UNINA-9910965973803321 |
Chan Swee Hong
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| Providence : , : American Mathematical Society, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebraische Gleichungen bellibigenb Grades / A. Kurosch
| Algebraische Gleichungen bellibigenb Grades / A. Kurosch |
| Autore | Kuros, Aleksandr Gennadievic |
| Pubbl/distr/stampa | Berlin : Veb Deutscher Verlag der Wissenshaften, 1954 |
| Disciplina | 512.25 |
| Collana | Kleine Erganzungsreihe zu den hochschulbuchern tur Mathematik |
| Soggetto non controllato | Equazioni algebriche di grado qualsiasi |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ger |
| Record Nr. | UNINA-990001265040403321 |
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Kuros, Aleksandr Gennadievic
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| Berlin : Veb Deutscher Verlag der Wissenshaften, 1954 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Direct sum decompositions of torsion free finite rank groups / T. G. Faticoni
| Direct sum decompositions of torsion free finite rank groups / T. G. Faticoni |
| Autore | Faticoni, Theodore G. |
| Pubbl/distr/stampa | Boca Raton : Chapman & hall/CRC, c2007 |
| Descrizione fisica | xiii, 315 p. ; 24 cm |
| Disciplina | 512.25 |
| Collana | Monographs and textbooks in pure and applied mathematics |
| Soggetto non controllato | Gruppi abeliani |
| ISBN | 1-58488-726-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990008569200403321 |
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Faticoni, Theodore G.
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| Boca Raton : Chapman & hall/CRC, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The Gröbner Cover / / by Antonio Montes
| The Gröbner Cover / / by Antonio Montes |
| Autore | Montes Antonio |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (285 pages) |
| Disciplina |
512.24
512.25 |
| Collana | Algorithms and Computation in Mathematics |
| Soggetto topico |
Commutative algebra
Commutative rings Algebraic fields Polynomials Computer science - Mathematics Commutative Rings and Algebras Field Theory and Polynomials Symbolic and Algebraic Manipulation |
| ISBN | 3-030-03904-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | FM -- Preliminaries -- Part I Theory -- Constructible sets -- Comprehensive Gröbner Systems and Bases -- I-regular functions on a locally closed set -- The Canonical Gröbner Cover -- Part II Applications -- Automatic Deduction of Geometric Theorems -- Geometric Loci -- Geometric Envelopes -- The BUILD TREE Algorithm.-Bibliography -- Index. |
| Record Nr. | UNINA-9910315360303321 |
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Montes Antonio
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Ideal theoretic methods in commutative algebra : in honor of James A. Huckaba's retirent / Daniel D. Anderson, Ira J. Papick, editors
| Ideal theoretic methods in commutative algebra : in honor of James A. Huckaba's retirent / Daniel D. Anderson, Ira J. Papick, editors |
| Pubbl/distr/stampa | New York : Marcel Dekker, c2001 |
| Descrizione fisica | ix, 358 p. ; 24 cm |
| Disciplina | 512.25 |
| Collana | Lecture notes in pure and applied mathematics |
| Soggetto non controllato | Algebra commutativa - Congressi |
| ISBN | 0-8247-0553-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990001488450403321 |
| New York : Marcel Dekker, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematics of Aperiodic Order / / edited by Johannes Kellendonk, Daniel Lenz, Jean Savinien
| Mathematics of Aperiodic Order / / edited by Johannes Kellendonk, Daniel Lenz, Jean Savinien |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Basel : , : Springer Basel : , : Imprint : Birkhäuser, , 2015 |
| Descrizione fisica | 1 online resource (438 p.) |
| Disciplina |
512.25
516.11 |
| Collana | Progress in Mathematics |
| Soggetto topico |
Convex geometry
Discrete geometry Dynamics Ergodic theory Operator theory Number theory Global analysis (Mathematics) Manifolds (Mathematics) Convex and Discrete Geometry Dynamical Systems and Ergodic Theory Operator Theory Number Theory Global Analysis and Analysis on Manifolds |
| ISBN | 3-0348-0903-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- 1.M. Baake, M. Birkner and U. Grimm: Non-Periodic Systems with Continuous Diffraction Measures -- 2.S. Akiyama, M. Barge, V. Berthé, J.-Y. Lee and A. Siegel: On the Pisot Substitution Conjecture -- 3. L. Sadun: Cohomology of Hierarchical Tilings -- 4.J. Hunton: Spaces of Projection Method Patterns and their Cohomology -- 5.J.-B. Aujogue, M. Barge, J. Kellendonk, D. Lenz: Equicontinuous Factors, Proximality and Ellis Semigroup for Delone Sets -- 6.J. Aliste-Prieto, D. Coronel, M.I. Cortez, F. Durand and S. Petite: Linearly Repetitive Delone Sets -- 7.N. Priebe Frank: Tilings with Infinite Local Complexity -- 8. A.Julien, J. Kellendonk and J. Savinien: On the Noncommutative Geometry of Tilings -- 9.D. Damanik, M. Embree and A. Gorodetski: Spectral Properties of Schrödinger Operators Arising in the Study of Quasicrystals -- 10.S. Puzynina and L.Q. Zamboni: Additive Properties of Sets and Substitutive Dynamics -- 11.J.V. Bellissard: Delone Sets and Material Science: a Program. |
| Record Nr. | UNINA-9910299775303321 |
| Basel : , : Springer Basel : , : Imprint : Birkhäuser, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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On systems of equations over free partially commutative groups / / Montserrat Casals-Ruiz, Ilya Kazachkov
| On systems of equations over free partially commutative groups / / Montserrat Casals-Ruiz, Ilya Kazachkov |
| Autore | Casals-Ruiz Montserrat |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| Descrizione fisica | 1 online resource (153 p.) |
| Disciplina | 512.25 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Equations, Abelian
Abelian groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0616-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""List of Figures""; ""Chapter 1. Introduction""; ""Chapter 2. Preliminaries""; ""2.1. Graphs and relations""; ""2.2. Elements of algebraic geometry over groups""; ""2.3. Formulas in the languages LA and LG""; ""2.4. First order logic and algebraic geometry""; ""2.5. Partially commutative groups""; ""2.6. Partially commutative monoids and DM-normal forms""; ""Chapter 3. Reducing systems of equations over G to constrained generalised equations over F""; ""3.1. Definition of (constrained) generalised equations""
""3.2. Reduction to generalised equations: from partially commutative groups to monoids""""3.3. Reduction to generalised equations: from partially commutative monoids to free monoids""; ""3.4. Example""; ""Chapter 4. The process: construction of the tree T""; ""4.1. Preliminary definitions""; ""4.2. Elementary transformations""; ""4.3. Derived transformations""; ""4.4. Construction of the tree T()""; ""Chapter 5. Minimal solutions""; ""Chapter 6. Periodic structures""; ""6.1. Periodic structures""; ""6.2. Example""; ""6.3. Strongly singular and singular cases""; ""6.4. Example"" ""6.5. Regular case""""Chapter 7. The finite tree T0() and minimal solutions""; ""7.1. Automorphisms""; ""7.2. The finite subtree T0()""; ""7.3. Paths p(H) are in T0()""; ""Chapter 8. From the coordinate group GR(*) to proper quotients: the decomposition tree Tdec and the extension tree Text""; ""8.1. The decomposition tree Tdec()""; ""8.2. Example""; ""8.3. The extension tree Text()""; ""Chapter 9. The solution tree T`39`42`""613A``45`47`""603Asol() and the main theorem""; ""9.1. Example""; ""Bibliography""; ""Index""; ""Glossary of notation"" |
| Record Nr. | UNINA-9910480513603321 |
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Casals-Ruiz Montserrat
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| Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On systems of equations over free partially commutative groups / / Montserrat Casals-Ruiz, Ilya Kazachkov
| On systems of equations over free partially commutative groups / / Montserrat Casals-Ruiz, Ilya Kazachkov |
| Autore | Casals-Ruiz Montserrat |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| Descrizione fisica | 1 online resource (153 p.) |
| Disciplina | 512.25 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Equations, Abelian
Abelian groups |
| ISBN | 1-4704-0616-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""List of Figures""; ""Chapter 1. Introduction""; ""Chapter 2. Preliminaries""; ""2.1. Graphs and relations""; ""2.2. Elements of algebraic geometry over groups""; ""2.3. Formulas in the languages LA and LG""; ""2.4. First order logic and algebraic geometry""; ""2.5. Partially commutative groups""; ""2.6. Partially commutative monoids and DM-normal forms""; ""Chapter 3. Reducing systems of equations over G to constrained generalised equations over F""; ""3.1. Definition of (constrained) generalised equations""
""3.2. Reduction to generalised equations: from partially commutative groups to monoids""""3.3. Reduction to generalised equations: from partially commutative monoids to free monoids""; ""3.4. Example""; ""Chapter 4. The process: construction of the tree T""; ""4.1. Preliminary definitions""; ""4.2. Elementary transformations""; ""4.3. Derived transformations""; ""4.4. Construction of the tree T()""; ""Chapter 5. Minimal solutions""; ""Chapter 6. Periodic structures""; ""6.1. Periodic structures""; ""6.2. Example""; ""6.3. Strongly singular and singular cases""; ""6.4. Example"" ""6.5. Regular case""""Chapter 7. The finite tree T0() and minimal solutions""; ""7.1. Automorphisms""; ""7.2. The finite subtree T0()""; ""7.3. Paths p(H) are in T0()""; ""Chapter 8. From the coordinate group GR(*) to proper quotients: the decomposition tree Tdec and the extension tree Text""; ""8.1. The decomposition tree Tdec()""; ""8.2. Example""; ""8.3. The extension tree Text()""; ""Chapter 9. The solution tree T`39`42`""613A``45`47`""603Asol() and the main theorem""; ""9.1. Example""; ""Bibliography""; ""Index""; ""Glossary of notation"" |
| Record Nr. | UNINA-9910788866303321 |
|
Casals-Ruiz Montserrat
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||
| Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On systems of equations over free partially commutative groups / / Montserrat Casals-Ruiz, Ilya Kazachkov
| On systems of equations over free partially commutative groups / / Montserrat Casals-Ruiz, Ilya Kazachkov |
| Autore | Casals-Ruiz Montserrat |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| Descrizione fisica | 1 online resource (153 p.) |
| Disciplina | 512.25 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Equations, Abelian
Abelian groups |
| ISBN | 1-4704-0616-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""List of Figures""; ""Chapter 1. Introduction""; ""Chapter 2. Preliminaries""; ""2.1. Graphs and relations""; ""2.2. Elements of algebraic geometry over groups""; ""2.3. Formulas in the languages LA and LG""; ""2.4. First order logic and algebraic geometry""; ""2.5. Partially commutative groups""; ""2.6. Partially commutative monoids and DM-normal forms""; ""Chapter 3. Reducing systems of equations over G to constrained generalised equations over F""; ""3.1. Definition of (constrained) generalised equations""
""3.2. Reduction to generalised equations: from partially commutative groups to monoids""""3.3. Reduction to generalised equations: from partially commutative monoids to free monoids""; ""3.4. Example""; ""Chapter 4. The process: construction of the tree T""; ""4.1. Preliminary definitions""; ""4.2. Elementary transformations""; ""4.3. Derived transformations""; ""4.4. Construction of the tree T()""; ""Chapter 5. Minimal solutions""; ""Chapter 6. Periodic structures""; ""6.1. Periodic structures""; ""6.2. Example""; ""6.3. Strongly singular and singular cases""; ""6.4. Example"" ""6.5. Regular case""""Chapter 7. The finite tree T0() and minimal solutions""; ""7.1. Automorphisms""; ""7.2. The finite subtree T0()""; ""7.3. Paths p(H) are in T0()""; ""Chapter 8. From the coordinate group GR(*) to proper quotients: the decomposition tree Tdec and the extension tree Text""; ""8.1. The decomposition tree Tdec()""; ""8.2. Example""; ""8.3. The extension tree Text()""; ""Chapter 9. The solution tree T`39`42`""613A``45`47`""603Asol() and the main theorem""; ""9.1. Example""; ""Bibliography""; ""Index""; ""Glossary of notation"" |
| Record Nr. | UNINA-9910828111903321 |
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Casals-Ruiz Montserrat
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||
| Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Ranges of bimodule projections and conditional expectations / / by Robert Pluta
| Ranges of bimodule projections and conditional expectations / / by Robert Pluta |
| Autore | Pluta Robert |
| Pubbl/distr/stampa | Newcastle upon Tyne : , : Cambridge Scholars Publishing, , 2013 |
| Descrizione fisica | 1 online resource (212 p.) |
| Disciplina | 512.25 |
| Soggetto topico |
Algebra
Rings (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4438-6786-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 4.5 Row and Column Spaces4.6 Characterization of Row and Column Spaces; 4.7 Tripotents and Peirce Spaces; CHAPTER 5 - CORNERS IN C (K); 5.1 Retracts in Compact and Locally Compact Spaces; 5.2 Sigma-algebra of Sets and Commutative Algebras; 5.3 Algebras of Continuous Functions and Measures; 5.4 Common Zeros; 5.5 Discontinuous Conditional Expectations; 5.6 Review of Results on Automatic Continuity; 5.7 Closure Question - Commutative Case; 5.8 Existence of Bounded Conditional Expectations - Commutative Case; 5.9 Remarks on the Non-commutative Case; CHAPTER 6 - ADDENDUM |
| Record Nr. | UNINA-9910460016603321 |
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Pluta Robert
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| Newcastle upon Tyne : , : Cambridge Scholars Publishing, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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