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Measure theoretic laws for lim sup sets / / Victor Beresnevich, Detta Dickinson, Sanju Velani
| Measure theoretic laws for lim sup sets / / Victor Beresnevich, Detta Dickinson, Sanju Velani |
| Autore | Beresnevich Victor <1971-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (110 p.) |
| Disciplina |
510 s
512.7/3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Diophantine approximation
Probabilities Hausdorff measures Fractals |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0447-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Section 1. Introduction""; ""Â1.1. Background: the basic example""; ""Â1.2. The general setup and fundamental problems""; ""Section 2. Ubiquity and conditions on the general setup""; ""Â2.1. Upper and lower sequences and the sets J[sup(u)][sub(1)](n)""; ""Â2.2. The conditions on the measure and the space""; ""Â2.3. The intersection conditions""; ""Â2.4. The ubiquitous systems""; ""Â2.5. A remark on related systems""; ""Section 3. The statements of t h e main theorems""; ""Section 4. Remarks and corollaries t o Theorem 1""
""Â11.2. Completion of the proof""""Section 12. Applications""; ""Â12.1. Linear Forms""; ""Â12.2. Algebraic Numbers""; ""Â12.3. Kleinian Groups""; ""Â12.4. Rational Maps""; ""Â12.5. Diophantine approximation with restrictions""; ""Â12.6. Diophantine approximation in Q[sub(p)]""; ""Â12.7. Diophantine approximation on manifolds""; ""Â12.8. Sets of exact order""; ""Bibliography"" |
| Record Nr. | UNINA-9910480865503321 |
Beresnevich Victor <1971->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Measure theoretic laws for lim sup sets / / Victor Beresnevich, Detta Dickinson, Sanju Velani
| Measure theoretic laws for lim sup sets / / Victor Beresnevich, Detta Dickinson, Sanju Velani |
| Autore | Beresnevich Victor <1971-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (110 p.) |
| Disciplina |
510 s
512.7/3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Diophantine approximation
Probabilities Hausdorff measures Fractals |
| ISBN | 1-4704-0447-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Section 1. Introduction""; ""Â1.1. Background: the basic example""; ""Â1.2. The general setup and fundamental problems""; ""Section 2. Ubiquity and conditions on the general setup""; ""Â2.1. Upper and lower sequences and the sets J[sup(u)][sub(1)](n)""; ""Â2.2. The conditions on the measure and the space""; ""Â2.3. The intersection conditions""; ""Â2.4. The ubiquitous systems""; ""Â2.5. A remark on related systems""; ""Section 3. The statements of t h e main theorems""; ""Section 4. Remarks and corollaries t o Theorem 1""
""Â11.2. Completion of the proof""""Section 12. Applications""; ""Â12.1. Linear Forms""; ""Â12.2. Algebraic Numbers""; ""Â12.3. Kleinian Groups""; ""Â12.4. Rational Maps""; ""Â12.5. Diophantine approximation with restrictions""; ""Â12.6. Diophantine approximation in Q[sub(p)]""; ""Â12.7. Diophantine approximation on manifolds""; ""Â12.8. Sets of exact order""; ""Bibliography"" |
| Record Nr. | UNINA-9910788740903321 |
|
Beresnevich Victor <1971->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Measure theoretic laws for lim sup sets / / Victor Beresnevich, Detta Dickinson, Sanju Velani
| Measure theoretic laws for lim sup sets / / Victor Beresnevich, Detta Dickinson, Sanju Velani |
| Autore | Beresnevich Victor <1971-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (110 p.) |
| Disciplina |
510 s
512.7/3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Diophantine approximation
Probabilities Hausdorff measures Fractals |
| ISBN | 1-4704-0447-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Section 1. Introduction""; ""Â1.1. Background: the basic example""; ""Â1.2. The general setup and fundamental problems""; ""Section 2. Ubiquity and conditions on the general setup""; ""Â2.1. Upper and lower sequences and the sets J[sup(u)][sub(1)](n)""; ""Â2.2. The conditions on the measure and the space""; ""Â2.3. The intersection conditions""; ""Â2.4. The ubiquitous systems""; ""Â2.5. A remark on related systems""; ""Section 3. The statements of t h e main theorems""; ""Section 4. Remarks and corollaries t o Theorem 1""
""Â11.2. Completion of the proof""""Section 12. Applications""; ""Â12.1. Linear Forms""; ""Â12.2. Algebraic Numbers""; ""Â12.3. Kleinian Groups""; ""Â12.4. Rational Maps""; ""Â12.5. Diophantine approximation with restrictions""; ""Â12.6. Diophantine approximation in Q[sub(p)]""; ""Â12.7. Diophantine approximation on manifolds""; ""Â12.8. Sets of exact order""; ""Bibliography"" |
| Record Nr. | UNINA-9910817241303321 |
|
Beresnevich Victor <1971->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Sums of reciprocals of fractional parts and multiplicative diophantine approximation / / Victor Beresnevich, Alan Haynes, Sanju Velani
| Sums of reciprocals of fractional parts and multiplicative diophantine approximation / / Victor Beresnevich, Alan Haynes, Sanju Velani |
| Autore | Beresnevich Victor <1971-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2020] |
| Descrizione fisica | 1 online resource (92 pages) |
| Disciplina | 512.7/3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Diophantine approximation [See also 11Jxx]
Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- General theory of distribution modulo $1$ [See also 11J71] Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Irregularities of distribution, discrepancy [See also 11Nxx] Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Metric theory of continued fractions [See also 11A55, 11J70] Number theory -- Elementary number theory {For analogues in number fields, see 11R04} -- Continued fractions {For approximation results, see 11J70} [See also 11K50, 30B70, 40A15] Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Small fractional parts of polynomials and generalizations Continued fractions Diophantine analysis Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Continued fractions and generalizations [See also 11A55, 11K50] Number theory Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Distribution modulo one [See also 11K06] Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Inhomogeneous linear forms Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Metric theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-5660-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Sums of reciprocals -- Multiplicative Diophantine approximation -- Ostrowski expansion -- Estimates for n[alpha] - [gamma] -- A gaps lemma and its consequences -- Counting solutions to n[alpha] - [gamma] < [epsilon] -- Establishing the homogeneous results on sums of reciprocals -- Establishing the inhomogeneous results on sums of reciprocals -- Proofs of theorems 2.2, 2.3 and 2.4 -- Proof of theorem 2.1. |
| Record Nr. | UNINA-9910480832903321 |
|
Beresnevich Victor <1971->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Sums of reciprocals of fractional parts and multiplicative diophantine approximation / / Victor Beresnevich, Alan Haynes, Sanju Velani
| Sums of reciprocals of fractional parts and multiplicative diophantine approximation / / Victor Beresnevich, Alan Haynes, Sanju Velani |
| Autore | Beresnevich Victor <1971-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2020] |
| Descrizione fisica | 1 online resource (92 pages) |
| Disciplina | 512.7/3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Diophantine approximation [See also 11Jxx]
Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- General theory of distribution modulo $1$ [See also 11J71] Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Irregularities of distribution, discrepancy [See also 11Nxx] Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Metric theory of continued fractions [See also 11A55, 11J70] Number theory -- Elementary number theory {For analogues in number fields, see 11R04} -- Continued fractions {For approximation results, see 11J70} [See also 11K50, 30B70, 40A15] Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Small fractional parts of polynomials and generalizations Continued fractions Diophantine analysis Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Continued fractions and generalizations [See also 11A55, 11K50] Number theory Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Distribution modulo one [See also 11K06] Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Inhomogeneous linear forms Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Metric theory |
| ISBN | 1-4704-5660-5 |
| Classificazione | 11K6011J7111A5511J8311J2011J7011K3811J5411K0611K50 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Sums of reciprocals -- Multiplicative Diophantine approximation -- Ostrowski expansion -- Estimates for n[alpha] - [gamma] -- A gaps lemma and its consequences -- Counting solutions to n[alpha] - [gamma] < [epsilon] -- Establishing the homogeneous results on sums of reciprocals -- Establishing the inhomogeneous results on sums of reciprocals -- Proofs of theorems 2.2, 2.3 and 2.4 -- Proof of theorem 2.1. |
| Record Nr. | UNINA-9910794065503321 |
|
Beresnevich Victor <1971->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Sums of reciprocals of fractional parts and multiplicative diophantine approximation / / Victor Beresnevich, Alan Haynes, Sanju Velani
| Sums of reciprocals of fractional parts and multiplicative diophantine approximation / / Victor Beresnevich, Alan Haynes, Sanju Velani |
| Autore | Beresnevich Victor <1971-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2020] |
| Descrizione fisica | 1 online resource (92 pages) |
| Disciplina | 512.7/3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Diophantine approximation [See also 11Jxx]
Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- General theory of distribution modulo $1$ [See also 11J71] Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Irregularities of distribution, discrepancy [See also 11Nxx] Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Metric theory of continued fractions [See also 11A55, 11J70] Number theory -- Elementary number theory {For analogues in number fields, see 11R04} -- Continued fractions {For approximation results, see 11J70} [See also 11K50, 30B70, 40A15] Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Small fractional parts of polynomials and generalizations Continued fractions Diophantine analysis Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Continued fractions and generalizations [See also 11A55, 11K50] Number theory Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Distribution modulo one [See also 11K06] Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Inhomogeneous linear forms Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Metric theory |
| ISBN | 1-4704-5660-5 |
| Classificazione | 11K6011J7111A5511J8311J2011J7011K3811J5411K0611K50 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Sums of reciprocals -- Multiplicative Diophantine approximation -- Ostrowski expansion -- Estimates for n[alpha] - [gamma] -- A gaps lemma and its consequences -- Counting solutions to n[alpha] - [gamma] < [epsilon] -- Establishing the homogeneous results on sums of reciprocals -- Establishing the inhomogeneous results on sums of reciprocals -- Proofs of theorems 2.2, 2.3 and 2.4 -- Proof of theorem 2.1. |
| Record Nr. | UNINA-9910813171303321 |
|
Beresnevich Victor <1971->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||