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1Academic Journal
Συγγραφείς: Cai, Yi, Komornik, Vilmos
Πηγή: Topology and its Applications. 368:109378
Θεματικοί όροι: Mathematics - Number Theory, FOS: Mathematics, Metric theory of other algorithms and expansions, measure and Hausdorff dimension, Number Theory (math.NT), unique \(\beta\)-expansion, 0101 mathematics, Special maps on metric spaces, non-integer base expansions, Radix representation, digital problems, Hausdorff metric, 01 natural sciences
Περιγραφή αρχείου: application/xml
Συνδεδεμένο Πλήρες ΚείμενοΣύνδεσμος πρόσβασης: http://arxiv.org/abs/2006.16130
https://zbmath.org/8037421
https://doi.org/10.1016/j.topol.2025.109378 -
2Academic Journal
Συγγραφείς: Bugeaud, Yann, González Robert, Gerardo, Hussain, Mumtaz
Πηγή: Advances in Mathematics. 468:110208
Θεματικοί όροι: Relations between ergodic theory and number theory, Approximation by numbers from a fixed field, Hurwitz continued fraction, Continued fractions and generalizations, Mathematics - Number Theory, Mathematics - Complex Variables, Metric theory of other algorithms and expansions, measure and Hausdorff dimension, Hausdorff dimension, Metric Geometry (math.MG), Dynamical Systems (math.DS), Metric theory of continued fractions, Fractals, Hausdorff and packing measures, metric number theory, Mathematics - Metric Geometry, Metric theory, FOS: Mathematics, Number Theory (math.NT), Mathematics - Dynamical Systems, Complex Variables (math.CV)
Περιγραφή αρχείου: application/xml
Συνδεδεμένο Πλήρες ΚείμενοΣύνδεσμος πρόσβασης: http://arxiv.org/abs/2306.08254
https://zbmath.org/8025827
https://doi.org/10.1016/j.aim.2025.110208 -
3Academic Journal
Συγγραφείς: Min Woong Ahn
Πηγή: Journal of Mathematical Analysis and Applications. 545:129124
Θεματικοί όροι: Fractals, leap year, Mathematics - Number Theory, FOS: Mathematics, Metric theory of other algorithms and expansions, measure and Hausdorff dimension, Hausdorff dimension, Primary 11K55, Secondary 28A80, 85A99, Number Theory (math.NT), exceptional set, Pierce expansion
Περιγραφή αρχείου: application/xml
Συνδεδεμένο Πλήρες ΚείμενοΣύνδεσμος πρόσβασης: http://arxiv.org/abs/2404.18855
https://zbmath.org/7975126
https://doi.org/10.1016/j.jmaa.2024.129124 -
4Academic Journal
Συγγραφείς: Aranov, Noy Soffer, Kim, Taehyeong
Πηγή: Advances in Mathematics
Θεματικοί όροι: singular vectors, Simultaneous homogeneous approximation, linear forms, Mathematics - Number Theory, lattice point counting, FOS: Mathematics, Metric theory of other algorithms and expansions, measure and Hausdorff dimension, Hausdorff dimension, Number Theory (math.NT), Dynamical Systems (math.DS), Mathematics - Dynamical Systems, function fields, Homogeneous flows
Περιγραφή αρχείου: application/xml
Συνδεδεμένο Πλήρες ΚείμενοΣύνδεσμος πρόσβασης: http://arxiv.org/abs/2405.11274
https://zbmath.org/7967038
https://doi.org/10.1016/j.aim.2024.110084 -
5Academic Journal
Συγγραφείς: Symon, Serbenyuk
Πηγή: Tatra Mountains Mathematical Publications. 79:163-198
Θεματικοί όροι: Fractals, Irrationality, linear independence over a field, fractal, Mathematics - Classical Analysis and ODEs, Moran structure, Extremal combinatorics, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Metric theory of other algorithms and expansions, measure and Hausdorff dimension, Elementary functions, Hausdorff dimension, range of values of a function, continuous function
Περιγραφή αρχείου: application/xml
Συνδεδεμένο Πλήρες ΚείμενοΣύνδεσμος πρόσβασης: http://arxiv.org/pdf/2005.02485
http://arxiv.org/abs/2005.02485
https://zbmath.org/7460183
https://doi.org/10.2478/tmmp-2021-0026 -
6Academic Journal
Συγγραφείς: Min Yu, Haibo Chen
Πηγή: Journal of Number Theory. 192:307-327
Θεματικοί όροι: Fractals, regularly varying sequence, Erdős-Rényi limit theorem, Metric theory of other algorithms and expansions, measure and Hausdorff dimension, Hausdorff dimension, 0101 mathematics, 16. Peace & justice, 01 natural sciences, run-length function
Περιγραφή αρχείου: application/xml
Συνδεδεμένο Πλήρες ΚείμενοΣύνδεσμος πρόσβασης: https://zbmath.org/6943100
https://doi.org/10.1016/j.jnt.2018.04.019
https://www.sciencedirect.com/science/article/pii/S0022314X18301380 -
7Academic Journal
Συγγραφείς: Bugeaud, Yann, Cheung, Yitwah, Chevallier, Nicolas
Συνεισφορές: Chevallier, Nicolas
Πηγή: Mathematical Proceedings of the Cambridge Philosophical Society. 167:249-284
Θεματικοί όροι: Continued fractions and generalizations, Mathematics - Number Theory, self-similar coverings, Metric theory of other algorithms and expansions, measure and Hausdorff dimension, singular matrix, Hausdorff dimension, Diophantine approximation in probabilistic number theory, 01 natural sciences, singular vectors, uniform exponent, Simultaneous homogeneous approximation, linear forms, Metric theory, FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, Dirichlet improvable sets, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
Περιγραφή αρχείου: application/pdf; application/xml
Συνδεδεμένο Πλήρες ΚείμενοΣύνδεσμος πρόσβασης: http://arxiv.org/pdf/1610.06374
http://arxiv.org/abs/1610.06374
https://arxiv.org/abs/1610.06374
https://arxiv.org/pdf/1610.06374.pdf
http://ui.adsabs.harvard.edu/abs/2016arXiv161006374B/abstract
https://ui.adsabs.harvard.edu/abs/2019MPCPS.167..249B/abstract
https://hal.archives-ouvertes.fr/hal-01381425
https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/hausdorff-dimension-and-uniform-exponents-in-dimension-two/ED5D62D56118A627A6F44EB5AA33ABAA
https://hal.archives-ouvertes.fr/hal-01381425/document -
8Academic Journal
Συγγραφείς: Haibo Chen, Xinghuo Long, Dao-Xin Ding
Πηγή: Journal of Mathematical Analysis and Applications. 458:464-480
Θεματικοί όροι: Moran set, Erdős-Rényi average, Dimension theory of smooth dynamical systems, Metric theory of other algorithms and expansions, measure and Hausdorff dimension, Relations of ergodic theory with number theory and harmonic analysis, Hausdorff dimension, slowly varying sequence, 0101 mathematics, 01 natural sciences
Περιγραφή αρχείου: application/xml
Συνδεδεμένο Πλήρες ΚείμενοΣύνδεσμος πρόσβασης: https://zbmath.org/6802324
https://doi.org/10.1016/j.jmaa.2017.09.018
https://www.sciencedirect.com/science/article/pii/S0022247X17308478 -
9Academic Journal
Συγγραφείς: HaiBo Chen, JunMin Tang
Πηγή: Science China Mathematics. 57:2335-2346
Θεματικοί όροι: Fractals, Hausdorff and packing measures, 0202 electrical engineering, electronic engineering, information engineering, Metric theory of other algorithms and expansions, measure and Hausdorff dimension, quantitative waiting time indicator, Hausdorff dimension, 02 engineering and technology, 0101 mathematics, waiting time, 01 natural sciences, cut set
Περιγραφή αρχείου: application/xml
Συνδεδεμένο Πλήρες ΚείμενοΣύνδεσμος πρόσβασης: https://link.springer.com/content/pdf/10.1007%2Fs11425-014-4854-7.pdf
http://ui.adsabs.harvard.edu/abs/2014ScChA..57.2335C/abstract
https://link.springer.com/article/10.1007/s11425-014-4854-7 -
10Academic Journal
Συγγραφείς: William C. Abram, Jeffrey C. Lagarias
Πηγή: Journal of Fractal Geometry, Mathematics of Fractals and Related Topics. 1:45-81
Θεματικοί όροι: \(p\)-adic arithmetic, Non-Archimedean dynamical systems, Metric theory of other algorithms and expansions, measure and Hausdorff dimension, Symbolic dynamics, Hausdorff dimension, Metric Geometry (math.MG), finite automata, 11K55, 11S82, 28A80, 37B10, 16. Peace & justice, 01 natural sciences, Fractals, Mathematics - Metric Geometry, 13. Climate action, FOS: Mathematics, 0101 mathematics, graph-directed construction
Περιγραφή αρχείου: application/xml
Σύνδεσμος πρόσβασης: http://www.ems-ph.org/journals/show_pdf.php?issn=2308-1309&vol=1&iss=1&rank=2
http://arxiv.org/abs/1210.2478
https://arxiv.org/abs/1210.2478
https://arxiv.org/pdf/1210.2478.pdf
https://www.ems-ph.org/journals/show_abstract.php?issn=2308-1309&vol=1&iss=1&rank=2
https://ui.adsabs.harvard.edu/abs/2012arXiv1210.2478A/abstract
https://www.ems-ph.org/journals/show_pdf.php?issn=2308-1309&vol=1&iss=1&rank=2 -
11Academic Journal
Συγγραφείς: Bernhard Schratzberger
Πηγή: Journal de théorie des nombres de Bordeaux. 16:705-732
Θεματικοί όροι: Metric theory of continued fractions, Continued fractions and generalizations, Metric theory of other algorithms and expansions, measure and Hausdorff dimension
Περιγραφή αρχείου: application/xml
Σύνδεσμος πρόσβασης: https://jtnb.centre-mersenne.org/item/10.5802/jtnb.467.pdf
https://zbmath.org/2188538
https://doi.org/10.5802/jtnb.467
http://archive.numdam.org/article/JTNB_2004__16_3_705_0.pdf
https://uni-salzburg.elsevierpure.com/en/publications/s-expansions -in-dimension-two
https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.467/
https://jtnb.centre-mersenne.org/item/10.5802/jtnb.467.pdf
https://eudml.org/doc/249276 -
12Academic Journal
Συγγραφείς: Mykola Pratsiovytyi, Sergio Albeverio, Grygoriy Torbin
Πηγή: Bulletin des Sciences Mathématiques. 129:615-630
Θεματικοί όροι: Mathematics(all), Hausdorff-Besicovitch dimension, Metric theory of other algorithms and expansions, measure and Hausdorff dimension, normality of real numbers, Transformations preserving the fractal dimension, superfractal set, Q∗-representation of real numbers, 01 natural sciences, Normal numbers, Fractals, Hausdorff and packing measures, Essentially non-normal numbers, Hausdorff–Besicovitch dimension, 0101 mathematics, Non-normal numbers
Περιγραφή αρχείου: application/xml
Συνδεδεμένο Πλήρες ΚείμενοΣύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/pii/S000744970500028X
https://www.sciencedirect.com/science/article/abs/pii/S000744970500028X
https://core.ac.uk/display/82177494 -
13Academic Journal
Συγγραφείς: De-Jun Feng
Πηγή: Advances in Mathematics. 195:24-101
Θεματικοί όροι: \(L^q\)-spectrum, Lq-spectrum, Mathematics(all), Metric theory of other algorithms and expansions, measure and Hausdorff dimension, multifractals, Hausdorff dimension, Multifractals, Pisot numbers, product of matrices, 01 natural sciences, Information dimension, information dimension, Product of matrices, PV-numbers and generalizations, other special algebraic numbers, Mahler measure, Fractals, Hausdorff and packing measures, Real-valued functions in general topology, Limited Rademacher functions, limited Rademacher functions, Relations of ergodic theory with number theory and harmonic analysis, Entropy and other invariants, Bernoulli convolutions, 0101 mathematics
Περιγραφή αρχείου: application/xml
Συνδεδεμένο Πλήρες ΚείμενοΣύνδεσμος πρόσβασης: https://zbmath.org/2189364
https://doi.org/10.1016/j.aim.2004.06.011
http://www.math.cuhk.edu.hk/~djfeng/fengpapers/rademanew/adv-2005.pdf
https://www.sciencedirect.com/science/article/abs/pii/S0001870804002142
https://core.ac.uk/display/82174759
https://www.sciencedirect.com/science/article/pii/S0001870804002142 -
14Academic Journal
Συγγραφείς: Stratmann, B. O., Stadlbauer, M.
Συνεισφορές: Stadlbauer, Manuel, Stratmann, B. O., Stadlbauer, M.
Πηγή: Ergodic Theory and Dynamical Systems. 25:1305-1323
Θεματικοί όροι: Geodesic flows in symplectic geometry and contact geometry, limit set, Nonsingular (and infinite-measure preserving) transformations, Markov map, General groups of measure-preserving transformations and dynamical systems, Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), Poincaré section, Metric theory of other algorithms and expansions, measure and Hausdorff dimension, Quasiconformal methods and Teichmüller theory, etc. (dynamical systems), 16. Peace & justice, 01 natural sciences, geodesic flow, Kleinian groups (aspects of compact Riemann surfaces and uniformization), General groups of measure-preserving transformations, 0101 mathematics, Fuchsian groups and their generalizations (group-theoretic aspects), exponent of convergence
Περιγραφή αρχείου: application/xml
Συνδεδεμένο Πλήρες ΚείμενοΣύνδεσμος πρόσβασης: https://dialnet.unirioja.es/servlet/articulo?codigo=1245250
https://www.cambridge.org/core/journals/ergodic-theory -and-dynamical-systems/article/abs/infinite-ergodic-theory -for-kleinian-groups/FB83FDAC045A3ECDC56EBE8D43BA940A
https://documat.unirioja.es/servlet/articulo?codigo=1245250
https://resolver.sub.uni-goettingen.de/purl?gro-2/50156
https://resolver.sub.uni-goettingen.de/purl?gro-2/132336 -
15Academic Journal
Συγγραφείς: Jörg M. Thuswaldner, Shigeki Akiyama
Πηγή: Computers & Mathematics with Applications. 49:1439-1485
Θεματικοί όροι: Radix representation, Metric theory of other algorithms and expansions, measure and Hausdorff dimension, Multi-dimensional shifts of finite type, tiling dynamics, 01 natural sciences, Automata, Connectedness, Computational Mathematics, Fractals, Computational Theory and Mathematics, Combinatorial aspects of tessellation and tiling problems, Modelling and Simulation, Tilings in \(n\) dimensions (aspects of discrete geometry), 0101 mathematics, Tiling, Fractal, digital problems
Περιγραφή αρχείου: application/xml
Συνδεδεμένο Πλήρες ΚείμενοΣύνδεσμος πρόσβασης: https://zbmath.org/2201728
https://doi.org/10.1016/j.camwa.2004.09.008
https://pure.unileoben.ac.at/portal/en/publications/on-the-topological-structure-of-fractal-tilings-generated-by-quadratic-number-systems(fa05e6c1-878e-4049-93da-ff53c806dbab).html
https://www.sciencedirect.com/science/article/abs/pii/S0898122105001628
https://www.sciencedirect.com/science/article/pii/S0898122105001628
https://core.ac.uk/display/82716234
http://math.tsukuba.ac.jp/~akiyama/papers/cnsnew7.pdf -
16Academic Journal
Συγγραφείς: Grygoriy Torbin, Sergio Albeverio
Πηγή: Bulletin des Sciences Mathématiques. 129:356-367
Θεματικοί όροι: Hausdorff dimension of measure, Billingsley dimension, Fractals, Continuity and singularity of induced measures, fractals, singular probability distributions, Entropy of probability distributions, Metric theory of other algorithms and expansions, measure and Hausdorff dimension, entropy of probability distributions, 0101 mathematics, Singular probability distributions, 01 natural sciences
Περιγραφή αρχείου: application/xml
Συνδεδεμένο Πλήρες ΚείμενοΣύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/pii/S0007449704001393
https://www.sciencedirect.com/science/article/abs/pii/S0007449704001393 -
17Academic Journal
Συγγραφείς: L. Olsen, Dave L. Renfro
Πηγή: manuscripta mathematica. 116:157-172
Θεματικοί όροι: Fractals, Liouville numbers, Diophantine approximation, 4. Education, Metric theory of other algorithms and expansions, measure and Hausdorff dimension, 0101 mathematics, 10. No inequality, 01 natural sciences, Hausdorff measure
Περιγραφή αρχείου: application/xml
Συνδεδεμένο Πλήρες ΚείμενοΣύνδεσμος πρόσβασης: https://zbmath.org/2156089
https://doi.org/10.1007/s00229-004-0528-z
https://documat.unirioja.es/servlet/articulo?codigo=2804649
https://rd.springer.com/content/pdf/10.1007%2Fs00229-005-0604-z.pdf
https://rd.springer.com/article/10.1007/s00229-004-0528-z
https://dialnet.unirioja.es/servlet/articulo?codigo=2804649
https://link.springer.com/article/10.1007%2Fs00229-005-0604-z -
18Academic Journal
Συγγραφείς: Paul Rowe
Πηγή: Acta Arithmetica. 118:101-115
Θεματικοί όροι: Distribution of primes, two integers simultaneous prime, Metric theory, Metric theory of other algorithms and expansions, measure and Hausdorff dimension, Hausdorff dimension, 0101 mathematics, Distribution of integers with specified multiplicative constraints, 01 natural sciences, metric number theorem, sums of two squares
Περιγραφή αρχείου: application/xml
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19Academic Journal
Συγγραφείς: Jun Wu
Πηγή: Mathematical Proceedings of the Cambridge Philosophical Society. 138:9-20
Θεματικοί όροι: Metric theory of continued fractions, sum of degrees of digits, Continued fractions and generalizations, Approximation in non-Archimedean valuations, Hausforff dimension, Metric theory of other algorithms and expansions, measure and Hausdorff dimension, continued fractions, 0101 mathematics, Laurent series, 01 natural sciences
Περιγραφή αρχείου: application/xml
Σύνδεσμος πρόσβασης: https://zbmath.org/2157959
https://doi.org/10.1017/s0305004104008163
http://www.journals.cambridge.org/abstract_S0305004104008163
https://dialnet.unirioja.es/servlet/articulo?codigo=1105916
https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/on-the-sum-of-degrees-of-digits-occurring-in-continued-fraction-expansions -of-laurent-series/9FC2932A8F7B2E3A9592C94501A20F9A
http://ui.adsabs.harvard.edu/abs/2005MPCPS.138....9W/abstractΣυνδεδεμένο Πλήρες Κείμενο -
20Academic Journal
Συγγραφείς: Bugeaud, Yann
Συνεισφορές: Thureau, Grégory
Πηγή: Journal d'Analyse Mathématique. 92:327-349
Θεματικοί όροι: Lebesgue measure, Diophantine approximation, Metric theory, Metric theory of other algorithms and expansions, measure and Hausdorff dimension, Diophantine approximation in probabilistic number theory, 0101 mathematics, 01 natural sciences, Hausdorff measure, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
Περιγραφή αρχείου: application/xml
Συνδεδεμένο Πλήρες ΚείμενοΣύνδεσμος πρόσβασης: http://cds.cern.ch/record/851805/files/cer-002534971.pdf
https://link.springer.com/content/pdf/10.1007/BF02787766.pdf
https://link.springer.com/article/10.1007/BF02787766