Separating measurable recurrence from strong recurrence via rigidity sequences

Authors: Griesmer, John T.

Source: Discrete and Continuous Dynamical Systems. 45:3411-3432

Subject Terms: thin sets, 0102 computer and information sciences, Dynamical Systems (math.DS), 01 natural sciences, 11B30, 37A45, Arithmetic combinatorics, higher degree uniformity, Kronecker sets, Poincaré recurrence, weak mixing, FOS: Mathematics, Relations of ergodic theory with number theory and harmonic analysis, Mathematics - Dynamical Systems, 0101 mathematics, rigidity sequence

File Description: application/xml

Access URL: http://arxiv.org/abs/1808.05609
https://zbmath.org/8037076
https://doi.org/10.3934/dcds.2025024

Everywhere divergence of one-sided ergodic Hilbert transform

Authors: Ai-Hua Fan, Jörg Schmeling

Contributors: DESSAIVRE, Louise

Source: Annales de l'Institut Fourier. 68:2477-2500

Subject Terms: Ergodic theorems, spectral theory, Markov operators, 4. Education, Relations of ergodic theory with number theory and harmonic analysis, [MATH] Mathematics [math], irrational rotation, 0101 mathematics, ergodic Hilbert transform, 01 natural sciences

File Description: application/xml

Access URL: https://aif.centre-mersenne.org/article/AIF_2018__68_6_2477_0.pdf
https://u-picardie.hal.science/hal-03622005v1
https://doi.org/10.5802/aif.3214
https://zbmath.org/7002323
https://doi.org/10.5802/aif.3214
https://portal.research.lu.se/sv/publications/everywhere-divergence-of-one-sided-ergodic-hilbert-transform
https://lup.lub.lu.se/record/867f5086-0c72-43cb-bcc8-f28290078c21
http://lup.lub.lu.se/record/867f5086-0c72-43cb-bcc8-f28290078c21
https://aif.centre-mersenne.org/item/10.5802/aif.3214.pdf
https://aif.centre-mersenne.org/articles/10.5802/aif.3214/

The Hausdorff dimension of level sets described by Erdös–Rényi average: The Hausdorff dimension of level sets described by Erdős-Rényi average

Authors: Haibo Chen, Xinghuo Long, Dao-Xin Ding

Source: Journal of Mathematical Analysis and Applications. 458:464-480

Subject Terms: 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

File Description: application/xml

Access URL: https://zbmath.org/6802324
https://doi.org/10.1016/j.jmaa.2017.09.018
https://www.sciencedirect.com/science/article/pii/S0022247X17308478

Joint spectral radius, Sturmian measures and the finiteness conjecture

Authors: Jenkinson, O, Pollicott, M

Source: Ergodic Theory and Dynamical Systems. 38:3062-3100

Subject Terms: FOS: Mathematics, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Relations of ergodic theory with number theory and harmonic analysis, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 0101 mathematics, QA, Sturmian measure, 10. No inequality, 16. Peace & justice, joint spectral radius, 01 natural sciences

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/pdf/1501.03419
http://arxiv.org/abs/1501.03419
http://wrap.warwick.ac.uk/85561/7/WRAP-joint-radius-measures-finiteness-Pollicott-2017.pdf
https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/joint-spectral-radius-sturmian-measures-and-the-finiteness-conjecture/56F42E7C7709364128FA34DD1A6DDBC1
http://qmro.qmul.ac.uk/xmlui/handle/123456789/19407
http://wrap.warwick.ac.uk/85561/
https://www.arxiv-vanity.com/papers/1501.03419/

Ergodic transport theory and piecewise analytic subactions for analytic dynamics

Authors: Elismar R. Oliveira, Daniel Smania, Artur O. Lopes

Source: Bulletin of the Brazilian Mathematical Society, New Series. 43:467-512

Subject Terms: Orbit growth in dynamical systems, twist condition, Transportation, logistics and supply chain management, Gibbs state, large deviation, involution kernel, Dynamical aspects of measure-preserving transformations, scaling function, eigenmeasure, Dynamical Systems (math.DS), FOS: Mathematics, Thermodynamic formalism, variational principles, equilibrium states for dynamical systems, eigenfunction, Mathematics - Dynamical Systems, Complex Variables (math.CV), Ruelle operator, Mathematics - Optimization and Control, subaction, ergodic transport, Functional analytic techniques in dynamical systems, zeta functions, (Ruelle-Frobenius) transfer operators, etc, Mathematics - Complex Variables, Expanding holomorphic maps, hyperbolicity, structural stability of holomorphic dynamical systems, turning point, Dynamical systems involving maps of the interval, 37C30, 37C35, 37A05, 37A45, 37F15, 90B06, Optimization and Control (math.OC), maximizing probability, Relations of ergodic theory with number theory and harmonic analysis, analytic dynamics

File Description: application/xml

Access URL: http://arxiv.org/pdf/1205.5758
http://arxiv.org/abs/1205.5758
https://rd.springer.com/article/10.1007/s00574-012-0023-1
https://ui.adsabs.harvard.edu/abs/2012arXiv1205.5758L/abstract
http://mat.ufrgs.br/~alopes/dual-smania-com-lem.pdf
https://link.springer.com/article/10.1007%2Fs00574-012-0023-1
https://www.bv.fapesp.br/pt/publicacao/58918/ergodic-transport-theory-and-piecewise-analytic-subactions-f/
https://rd.springer.com/content/pdf/10.1007%2Fs00574-012-0023-1.pdf

Frequencies of digits, divergence points, and Schmidt games

Authors: Lars Olsen

Source: Chaos, Solitons & Fractals. 40:2222-2232

Subject Terms: Dimension theory of smooth dynamical systems, Applications of game theory, Relations of ergodic theory with number theory and harmonic analysis, 0101 mathematics, Classical measure theory, Radix representation, digital problems, 01 natural sciences

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0960077907008867
https://core.ac.uk/display/147196383
https://ui.adsabs.harvard.edu/abs/2009CSF....40.2222O/abstract

The dynamics of Pythagorean Triples: The dynamics of Pythagorean triples

Authors: Dan Romik

Source: Transactions of the American Mathematical Society. 360:6045-6064

Subject Terms: Mathematics - Number Theory, Ergodicity, mixing, rates of mixing, FOS: Mathematics, Relations of ergodic theory with number theory and harmonic analysis, primitive pythagorean triple, Dynamical Systems (math.DS), Number Theory (math.NT), Mathematics - Dynamical Systems, 0101 mathematics, 01 natural sciences, ternary expansion

File Description: application/xml

Access URL: https://www.ams.org/tran/2008-360-11/S0002-9947-08-04467-X/S0002-9947-08-04467-X.pdf
http://arxiv.org/abs/math/0406512
https://zbmath.org/5358277
https://doi.org/10.1090/s0002-9947-08-04467-x
https://dialnet.unirioja.es/servlet/articulo?codigo=2972072
https://www.ams.org/tran/2008-360-11/S0002-9947-08-04467-X/S0002-9947-08-04467-X.pdf
https://www.ams.org/journals/tran/2008-360-11/S0002-9947-08-04467-X/home.html
https://doi.org/10.1090%2FS0002-9947-08-04467-X
https://www.arxiv-vanity.com/papers/math/0406512/

p-adic affine dynamical systems and applications: \(p\)-adic affine dynamical systems and applications

Authors: Dan Zhou, Jia-Yan Yao, Ming-Tian Li, Ai-Hua Fan

Source: Comptes Rendus. Mathématique. 342:129-134

Subject Terms: Haar measure, Non-Archimedean dynamical systems, unique ergodicity, Dynamical systems over non-Archimedean local ground fields, ergodicity, Relations of ergodic theory with number theory and harmonic analysis, \(p\)-adic integers, divisibility, 0101 mathematics, transitivity, strict ergodicity, minimality, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2248355
https://doi.org/10.1016/j.crma.2005.11.017
https://www.sciencedirect.com/science/article/abs/pii/S1631073X05005510
http://www.sciencedirect.com/science/article/pii/S1631073X05005510
https://www.sciencedirect.com/science/article/pii/S1631073X05005510

FVIP systems and multiple recurrence

Authors: Randall McCutcheon

Source: Israel Journal of Mathematics. 146:157-188

Subject Terms: Ergodic Ramsey theory, Other combinatorial number theory, IP system, General groups of measure-preserving transformations, Relations of ergodic theory with number theory and harmonic analysis, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences, Generalized polynomials

File Description: application/xml

Access URL: https://zbmath.org/2174708
https://doi.org/10.1007/bf02773532
https://link.springer.com/article/10.1007/BF02773532

The limited Rademacher functions and Bernoulli convolutions associated with Pisot numbers

Authors: De-Jun Feng

Source: Advances in Mathematics. 195:24-101

Subject Terms: \(L^q\)-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

File Description: application/xml

Access URL: 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

On the group extension of the transformation associated to non-archimedean continued fractions

Authors: Rie Natsui

Source: Acta Mathematica Hungarica. 108:299-318

Subject Terms: Metric theory of continued fractions, metric theory, Continued fractions and generalizations, Approximation in non-Archimedean valuations, \(F_q\)-coefficient, Relations of ergodic theory with number theory and harmonic analysis, non-archimedean continued fractions, \(F_q\)-polynomial, 0101 mathematics, 01 natural sciences, ergodic group extension

File Description: application/xml

Access URL: https://zbmath.org/2213312
https://doi.org/10.1007/s10474-005-0226-7
https://link.springer.com/article/10.1007/s10474-005-0226-7
https://link.springer.com/content/pdf/10.1007/s10474-005-0226-7.pdf

Non-Gibbsianness of SRB measures for the natural extension of intermittent systems

Authors: Michiko Yuri

Source: Ergodic Theory and Dynamical Systems. 25:1343-1356

Subject Terms: Dynamical systems and their relations with probability theory and stochastic processes, Fractals, Discrete-time Markov processes on general state spaces, Dynamical systems with hyperbolic behavior, non-Gibbsian character, nonhyperbolic number-theoretical transformations, Relations of ergodic theory with number theory and harmonic analysis, transitive Markov maps, 0101 mathematics, 01 natural sciences, Smooth ergodic theory, invariant measures for smooth dynamical systems, indifferent periodic points

File Description: application/xml

Access URL: https://dialnet.unirioja.es/servlet/articulo?codigo=1245252
https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/nongibbsianness-of-srb-measures-for-the-natural-extension-of-intermittent-systems/9B40BD241416A139BB1FE9FC896CB51D
https://documat.unirioja.es/servlet/articulo?codigo=1245252

The cohomological equation for Roth-type interval exchange maps

Authors: MARMI, Stefano, MOUSSA P., YOCCOZ J. C.

Source: Journal of the American Mathematical Society. 18:823-872

Subject Terms: Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations, Mathematics - Number Theory, Mathematics - Complex Variables, Applied Mathematics, General Mathematics, Dynamical Systems (math.DS), 01 natural sciences, renormalization, Metric theory of continued fractions, Dynamical systems involving maps of the interval, theorem of Gottschalk and Hedlund, Roth-type interval exchanges, 0103 physical sciences, FOS: Mathematics, ergodicity, Relations of ergodic theory with number theory and harmonic analysis, Number Theory (math.NT), Mathematics - Dynamical Systems, Complex Variables (math.CV), 0101 mathematics

File Description: application/xml; application/pdf

Access URL: https://www.ams.org/jams/2005-18-04/S0894-0347-05-00490-X/S0894-0347-05-00490-X.pdf
http://arxiv.org/abs/math/0403518
https://zbmath.org/2199895
https://doi.org/10.1090/s0894-0347-05-00490-x
https://www.jstor.org/stable/20161260
https://www.ams.org/jams/2005-18-04/S0894-0347-05-00490-X/S0894-0347-05-00490-X.pdf
https://www.ams.org/journals/jams/2005-18-04/S0894-0347-05-00490-X/home.html
http://homepage.sns.it/marmi/papers/MMY_roth_JAMS_2005.pdf
https://www.college-de-france.fr/media/jean-christophe-yoccoz/UPL15307_MMY_roth_JAMS_2005.pdf
http://www.college-de-france.fr/media/jean-christophe-yoccoz/UPL15307_MMY_roth_JAMS_2005.pdf
https://www.openaccessrepository.it/record/171258
https://www.ams.org/journals/jams/2005-18-04/S0894-0347-05-00490-X/S0894-0347-05-00490-X.pdf
https://hdl.handle.net/11384/513

Bowen–Franks groups as conjugacy invariants for $$\mathbb{T}^{n} $$ -automorphisms: Bowen-Franks groups as conjugacy invariants for \(\mathbb T^n\)-automorphisms

Authors: Pedro Martins Rodrigues, José Sousa Ramos

Source: Aequationes mathematicae. 69:231-249

Subject Terms: Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems, Bowen Franks groups, 37C15, 37C25, 15A36, 11R04, Symbolic dynamics, conjugacy, Dynamical Systems (math.DS), Matrices of integers, 01 natural sciences, Fixed points and periodic points of dynamical systems, fixed-point index theory, local dynamics, Torus automorphisms, FOS: Mathematics, Relations of ergodic theory with number theory and harmonic analysis, Mathematics - Dynamical Systems, 0101 mathematics, Algebraic numbers, rings of algebraic integers

File Description: application/xml

Access URL: http://arxiv.org/pdf/math/0303185
http://arxiv.org/abs/math/0303185
https://zbmath.org/2173758
https://doi.org/10.1007/s00010-004-2753-7
https://link.springer.com/article/10.1007%2Fs00010-004-2753-7
https://dialnet.unirioja.es/servlet/articulo?codigo=2204481
https://link.springer.com/content/pdf/10.1007/s00010-004-2753-7.pdf
http://ui.adsabs.harvard.edu/abs/2003math......3185M/abstract

On the Gibbs Properties of Bernoulli Convolutions Related to β-Numeration in Multinacci Bases: On the Gibbs properties of Bernoulli convolutions related to \(\beta\)-numeration in multinacci bases

Authors: Olivier, Eric, Sidorov, Nikita, Thomas, Alain

Source: Olivier, E, Sidorov, N & Thomas, A 2005, 'On the Gibbs properties of Bernoulli convolutions related to β-numeration in multinacci bases', Monatshefte für Mathematik, vol. 145, no. 2, pp. 145-174. https://doi.org/10.1007/s00605-005-0298-z

Subject Terms: PV number, weak Gibbs measure, Mathematics - Number Theory, Weak Gibbs measure, Dimension theory of smooth dynamical systems, Other number representations, Dynamical Systems (math.DS), Continued fraction, PV-number, 01 natural sciences, continued fraction, Infinite matrix product, Positive matrices and their generalizations, cones of matrices, Bernoulli convolution, FOS: Mathematics, Relations of ergodic theory with number theory and harmonic analysis, Number Theory (math.NT), Contents, measures, outer measures, capacities, Mathematics - Dynamical Systems, 0101 mathematics, β-numeration, 28A12, 11A67, 15A48

File Description: application/xml; text; application/pdf; application/octet-stream

Access URL: https://www.research.manchester.ac.uk/portal/files/21171307/POST-PEER-REVIEW-PUBLISHERS-DOCUMENT.PDF
http://arxiv.org/abs/math/0411278
https://zbmath.org/2193072
https://doi.org/10.1007/s00605-005-0298-z
https://research.manchester.ac.uk/en/publications/6cc12d48-d957-424f-9f45-0d1e2c21e779
https://doi.org/10.1007/s00605-005-0298-z
https://link.springer.com/article/10.1007/s00605-005-0298-z
http://www.ma.man.ac.uk/~nikita/ost.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=2207940
http://www.escholar.manchester.ac.uk/uk-ac-man-scw:23207
https://www.research.manchester.ac.uk/portal/en/publications/on-the-gibbs-properties-of-bernoulli-convolutions-related-to-numeration-in-multinacci-bases(6cc12d48-d957-424f-9f45-0d1e2c21e779).html
https://link.springer.com/content/pdf/10.1007%2Fs00605-005-0298-z.pdf
https://research.manchester.ac.uk/en/publications/6cc12d48-d957-424f-9f45-0d1e2c21e779
https://pure.manchester.ac.uk/ws/files/21171307/POST-PEER-REVIEW-PUBLISHERS-DOCUMENT.PDF
https://doi.org/10.1007/s00605-005-0298-z

Measures of maximal entropy for random $\beta$-expansions: Measures of maximal entropy for random \(\beta\)-expansions

Authors: Martijn de Vries, Karma Dajani

Source: Journal of the European Mathematical Society. 7:51-68

Subject Terms: Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc, Markov chains, lazy expansions, measures of maximal entropy, Parry measure, Measure-preserving transformations, 01 natural sciences, Landbouwwetenschappen, Wiskunde: algemeen, Natuurwetenschappen, Wiskunde en Informatica (WIIN), Relations of ergodic theory with number theory and harmonic analysis, greedy expansions, Entropy and other invariants, isomorphism, classification in ergodic theory, Entropy and other invariants, 0101 mathematics, Mathematics

File Description: application/xml

Access URL: http://www.ems-ph.org/journals/show_pdf.php?issn=1435-9855&vol=7&iss=1&rank=3
https://research-portal.uu.nl/en/publications/dbafb8c8-9c6d-4a25-8720-ee106ab93906
http://dspace.library.uu.nl/handle/1874/23578
http://www.ems-ph.org/doi/10.4171/JEMS/21
https://eudml.org/doc/277322
https://www.narcis.nl/publication/RecordID/oai%3Aresearch.vu.nl%3Apublications%2F7d66ab5c-102b-4b1f-a02a-3a9b4684aef0
https://www.math.uu.nl/publications/preprints/1284.pdf
https://ems.press/content/serial-article-files/206

Number-Theoretical Turbulence in Fermat?Euler Arithmetics and Large Young Diagrams Geometry Statistics: Number-theoretical turbulence in Fermat-Euler arithmetics and large Young diagrams geometry statistics

Authors: V. Arnold

Source: Journal of Mathematical Fluid Mechanics. 7:S4-S50

Subject Terms: geometric progressions, continued fractions, Vershik-Planscherel measure, Topological dynamics, 01 natural sciences, unitary representations, residues, selfsimilarity, Combinatorial aspects of representation theory, partitions, unpredictability, Gauss-Kuzmin statistics, Chaos, Relations of ergodic theory with number theory and harmonic analysis, Distribution of integers in special residue classes, Congruences, primitive roots, residue systems, 0101 mathematics, Cesaro averaging, adiabaticity

File Description: application/xml

Access URL: https://zbmath.org/2161235
https://doi.org/10.1007/s00021-004-0130-x
https://link.springer.com/article/10.1007%2Fs00021-004-0130-x
http://ui.adsabs.harvard.edu/abs/2005JMFM....7S...4A/abstract

Euclidean algorithms are Gaussian

Authors: Baladi, V., Vallée, Brigitte

Contributors: System, HAL, Groupe de Recherche en Informatique, Image et Instrumentation de Caen (GREYC), Université de Caen Normandie (UNICAEN), Normandie Université (NU)-Normandie Université (NU)-École Nationale Supérieure d'Ingénieurs de Caen (ENSICAEN), Normandie Université (NU)-Centre National de la Recherche Scientifique (CNRS), Equipe AMACC - Laboratoire GREYC - UMR6072, Normandie Université (NU)-Centre National de la Recherche Scientifique (CNRS)-Université de Caen Normandie (UNICAEN)

Source: Journal of Number Theory. 110:331-386

Subject Terms: FOS: Computer and information sciences, Algebra and Number Theory, Functional analytic techniques in dynamical systems, zeta functions, (Ruelle-Frobenius) transfer operators, etc, Probabilistic analysis of algorithms, [INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS], Central limit theorem, Central limit and other weak theorems, [INFO.INFO-DS] Computer Science [cs]/Data Structures and Algorithms [cs.DS], 0102 computer and information sciences, Transfer operator, Computational Complexity (cs.CC), 01 natural sciences, Computer Science - Computational Complexity, Dynamical systems, Local limit theorem, Computer Science - Data Structures and Algorithms, Perron's formula, Relations of ergodic theory with number theory and harmonic analysis, Analysis of algorithms, Data Structures and Algorithms (cs.DS), Dirichlet series, F.2.1, I.1.2, 0101 mathematics, Number-theoretic algorithms, complexity

File Description: application/pdf; application/xml

Access URL: http://arxiv.org/abs/cs/0307062
https://hal.science/hal-00204733v1
https://zbmath.org/2153786
https://doi.org/10.1016/j.jnt.2004.08.008
https://arxiv.org/abs/cs/0307062
https://arxiv.org/pdf/cs/0307062
https://core.ac.uk/display/82126306
https://www.sciencedirect.com/science/article/abs/pii/S0022314X04001696
http://dblp.uni-trier.de/db/journals/corr/corr0307.html#cs-DS-0307062
https://www.sciencedirect.com/science/article/pii/S0022314X04001696

A one-parameter family of analytic Markov maps with an intermittency transition

Authors: GIAMPIERI M., ISOLA, Stefano

Source: Discrete & Continuous Dynamical Systems - A. 12:115-136

Subject Terms: Functional analytic techniques in dynamical systems, zeta functions, (Ruelle-Frobenius) transfer operators, etc, thermodynamic formalism, Markov maps, spectral theory, Dynamical Systems (math.DS), 01 natural sciences, renormalization, AMS Subject Classification: 58F20, 58F25, 11F72, 11M26, transfer operators, Mathematics - Spectral Theory, Dynamical systems involving maps of the interval, zeta functions, intermittency, FOS: Mathematics, Relations of ergodic theory with number theory and harmonic analysis, Mathematics - Dynamical Systems, 0101 mathematics, Other Dirichlet series and zeta functions, Spectral Theory (math.SP)

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Access URL: http://arxiv.org/abs/math/0308020
http://ui.adsabs.harvard.edu/abs/2003math......8020G/abstract
https://pubblicazioni.unicam.it/handle/11581/115353
http://www.dm.unibo.it/fismat/pub/Isola911.pdf
https://www.aimsciences.org/article/doi/10.3934/dcds.2005.12.115
https://hdl.handle.net/11581/115353

A Wirsing‐type approach to some continued fraction expansion: A Wirsing-type approach to some continued fraction expansion

Authors: Gabriela Ileana Sebe

Source: International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 12, Pp 1943-1950 (2005)

Subject Terms: Metric theory of continued fractions, Perron-Frobenius operator, Gauss-Kzmin-Lévy problem, QA1-939, Relations of ergodic theory with number theory and harmonic analysis, continued fractions, 0101 mathematics, 01 natural sciences, Mathematics

File Description: application/xml

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https://zbmath.org/2236300
https://doi.org/10.1155/ijmms.2005.1943
https://doaj.org/article/2e5a9b6437044a319a4b6cc2ee323c99
http://downloads.hindawi.com/journals/ijmms/2005/638461.pdf
http://emis.maths.adelaide.edu.au/journals/HOA/IJMMS/Volume2005_12/1950.pdf
https://dblp.uni-trier.de/db/journals/ijmmsc/ijmmsc2005.html#Sebe05
https://www.maths.tcd.ie/EMIS/journals/HOA/IJMMS/2005/121943.pdf
https://downloads.hindawi.com/journals/ijmms/2005/638461.pdf
http://www.emis.de/journals/HOA/IJMMS/Volume2005_12/638461.pdf