Kosloff, Zemer; Soo, Terry Sinai factors of nonsingular systems: Bernoulli shifts and Anosov flows. (English) Zbl 07938122 J. Mod. Dyn. 20, 597-634 (2024). MSC: 37A40 37A35 37C05 28D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gabor, Uri On the failure of Ornstein theory in the finitary category. (English) Zbl 1545.37006 Trans. Am. Math. Soc. 377, No. 6, 3767-3777 (2024). Reviewer: Thomas B. Ward (Durham) MSC: 37A35 37A30 37A50 60G10 37B10 28D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meyerovitch, Tom; Spinka, Yinon Entropy-efficient finitary codings. (English) Zbl 1543.37005 J. Mod. Dyn. 20, 1-49 (2024). MSC: 37A20 37A60 37A35 37A05 82B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wilkens, Amanda Isomorphisms of Poisson systems over locally compact groups. (English) Zbl 1537.37016 Ann. Probab. 51, No. 6, 2158-2191 (2023). Reviewer: Thomas B. Ward (Durham) MSC: 37A50 37A05 37A35 60G10 60G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Seward, Brandon Bernoulli shifts with bases of equal entropy are isomorphic. (English) Zbl 1506.37016 J. Mod. Dyn. 18, 345-362 (2022). Reviewer: Rylee Lyman (Newark) MSC: 37B10 37A35 28D20 20E36 20F65 94A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kumduang, Thodsaporn; Leeratanavalee, Sorasak Left translations and isomorphism theorems for Menger algebras of rank \(n\). (English) Zbl 1491.20169 Kyungpook Math. J. 61, No. 2, 223-237 (2021). MSC: 20N15 08A62 08A05 08A30 × Cite Format Result Cite Review PDF Full Text: DOI
Spinka, Yinon Finitely dependent processes are finitary. (English) Zbl 1453.60150 Ann. Probab. 48, No. 4, 2088-2117 (2020). MSC: 60J99 60G10 28D99 37A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Kosloff, Zemer; Soo, Terry Finitary isomorphisms of Brownian motions. (English) Zbl 1451.37012 Ann. Probab. 48, No. 4, 1966-1979 (2020). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 37A50 37A35 60J65 60G15 60G55 60J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Brusamarello, Rosali; Fornaroli, Érica Z.; Khrypchenko, Mykola Jordan isomorphisms of the finitary incidence ring of a partially ordered category. (English) Zbl 1470.16055 Colloq. Math. 159, No. 2, 285-307 (2020). MSC: 16S50 17C50 16W10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brusamarello, Rosali; Fornaroli, Érica Z.; Khrypchenko, Mykola Jordan isomorphisms of finitary incidence algebras. (English) Zbl 1426.16027 Linear Multilinear Algebra 66, No. 3, 565-579 (2018). MSC: 16S50 17C50 16W10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shea, Stephen Finitarily Bernoulli factors are dense. (English) Zbl 1347.37014 Fundam. Math. 223, No. 1, 49-54 (2013). Reviewer: Alejandro Mesón (La Plata) MSC: 37A35 28D20 37A50 60G10 × Cite Format Result Cite Review PDF Full Text: DOI
Shea, Stephen M. Graph labelings and continuous factors of dynamical systems. (English) Zbl 1266.05143 Electron. J. Comb. 20, No. 1, Research Paper P70, 25 p. (2013). MSC: 05C78 05C15 37A35 37B40 × Cite Format Result Cite Review PDF Full Text: Link
Shea, Stephen M. Notes on finitary isomorphism markers in countable state Markov processes. (English) Zbl 1305.60063 Markov Process. Relat. Fields 18, No. 2, 323-332 (2012). MSC: 60J10 37A35 × Cite Format Result Cite Review PDF
Shea, Stephen M. On the marker method for constructing finitary isomorphisms. (English) Zbl 1246.37016 Rocky Mt. J. Math. 42, No. 1, 293-304 (2012). Reviewer: Michael L. Blank (Moskva) MSC: 37A35 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Harvey, Nate; Peres, Yuval An invariant of finitary codes with finite expected square root coding length. (English) Zbl 1211.37004 Ergodic Theory Dyn. Syst. 31, No. 1, 77-90 (2011). Reviewer: Thomas B. Ward (Norwich) MSC: 37A05 37A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khripchenko, N. S. Finitary incidence algebras of quasiorders. (English) Zbl 1224.16036 Mat. Stud. 34, No. 1, 30-37 (2010). MSC: 16G20 06A07 16S60 18B35 18E05 16S50 × Cite Format Result Cite Review PDF
Shea, Stephen M. Finitary isomorphism of some renewal processes to Bernoulli schemes. (English) Zbl 1196.37016 Indag. Math., New Ser. 20, No. 3, 463-476 (2009). Reviewer: Michael L. Blank (Moskva) MSC: 37A35 × Cite Format Result Cite Review PDF Full Text: DOI
Serafin, Jacek Universally finitary symbolic extensions. (English) Zbl 1187.37013 Fundam. Math. 206, 281-285 (2009). MSC: 37A35 37B10 37B40 × Cite Format Result Cite Review PDF Full Text: DOI
Khripchenko, N. S.; Novikov, B. V. Finitary incidence algebras. (English) Zbl 1180.16021 Commun. Algebra 37, No. 5, 1670-1676 (2009). Reviewer: Eugene Spiegel (Storrs) MSC: 16S60 06A07 16G20 16S50 16S34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Roychowdhury, Mrinal Kanti Irrational rotation of the circle and the binary odometer are finitarily orbit equivalent. (English) Zbl 1129.37004 Publ. Res. Inst. Math. Sci. 43, No. 2, 385-402 (2007). Reviewer: Pao-Sheng Hsu (Columbia Falls) MSC: 37A20 37E05 37A05 × Cite Format Result Cite Review PDF Full Text: DOI
Roychowdhury, Mrinal Kanti \(\{m_n\}\) odometer and the binary odometer are finitarily orbit equivalent. (English) Zbl 1122.37006 Assani, Idris (ed.), Ergodic theory and related fields. Papers of the 2004–2006 Chapel Hill workshops on probability and ergodic theory, Chapel Hill, NC, USA, 2004–2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-3869-3/pbk). Contemporary Mathematics 430, 123-134 (2007). MSC: 37A20 28D05 37A05 × Cite Format Result Cite Review PDF
Ornstein, Donald; Weiss, Benjamin Entropy is the only finitely observable invariant. (English) Zbl 1109.37005 J. Mod. Dyn. 1, No. 1, 93-105 (2007). MSC: 37A35 60G10 37A50 × Cite Format Result Cite Review PDF
Serafin, Jacek Finitary codes, a short survey. (English) Zbl 1132.37005 Denteneer, Dee (ed.) et al., Dynamics and stochastics. Festschrift in honor of M. S. Keane. Selected papers based on the presentations at the conference ‘Dynamical systems, probability theory, and statistical mechanics’, Eindhoven, The Netherlands, January 3–7, 2005, on the occasion of the 65th birthday of Mike S. Keane. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 0-940600-64-1/pbk). Institute of Mathematical Statistics Lecture Notes - Monograph Series 48, 262-273 (2006). Reviewer: Dan E. Popovici (Timişoara) MSC: 37A35 28D20 37A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hamachi, Toshihiro; Keane, Michael S. Finitary orbit equivalence of odometers. (English) Zbl 1108.37006 Bull. Lond. Math. Soc. 38, No. 3, 450-458 (2006). Reviewer: Geoffrey R. Goodson (Towson) MSC: 37B10 28D05 37A05 37A20 × Cite Format Result Cite Review PDF Full Text: DOI
Thouvenot, Jean-Paul Entropy, isomorphism and equivalence in ergodic theory. (English) Zbl 1084.37007 Hasselblatt, B. (ed.) et al., Handbook of dynamical systems. Volume 1A. Amsterdam: North-Holland (ISBN 0-444-82669-6/hbk). 205-238 (2002). Reviewer: Tomasz Downarowicz (Wrocław) MSC: 37A35 37A05 37-02 37A20 28D05 × Cite Format Result Cite Review PDF
Mouat, Robert; Tuncel, Selim Constructing finitary isomorphisms with finite expected coding times. (English) Zbl 1015.37007 Isr. J. Math. 132, 359-372 (2002). Reviewer: Thomas Ward (Norwich) MSC: 37A35 37B10 60J10 × Cite Format Result Cite Review PDF Full Text: DOI
Iwanik, A.; Serafin, J. Code length between Markov processes. (English) Zbl 0943.37007 Isr. J. Math. 111, 29-51 (1999). Reviewer: Geoffrey R.Goodson (Towson) MSC: 37A35 37A30 28D20 60J99 37B40 × Cite Format Result Cite Review PDF Full Text: DOI
Ježek, Jaroslav Enumerating left distributive groupoids. (English) Zbl 0897.08003 Czech. Math. J. 47, No. 4, 717-727 (1997). Reviewer: Aleš Drápal (Praha) MSC: 08A05 08A62 08-04 20N02 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Kasim-Zade, O. M. Implicit expressibility in two-valued logic and cryptoisomorphisms of two-element algebras. (English. Russian original) Zbl 0896.06013 Dokl. Math. 53, No. 3, 366-368 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 348, No. 3, 299-301 (1996). Reviewer: I.Strazdins (Riga) MSC: 06E30 03G20 08A62 × Cite Format Result Cite Review PDF
Haviar, Alfonz Metrics on systems of finite algebras. (English) Zbl 0858.08004 Acta Univ. M. Belii, Ser. Math. 3, 9-16 (1995). Reviewer: H.Länger (Wien) MSC: 08A62 × Cite Format Result Cite Review PDF
Smorodinsky, Meir Finitary isomorphism of \(m\)-dependent processes. (English) Zbl 0768.28009 Symbolic dynamics and its applications, Proc. AMS Conf. in honor of R. L. Adler, New Haven/CT (USA) 1991, Contemp. Math 135, 373-376 (1992). Reviewer: Qian Minping (Beijing) MSC: 28D05 60G10 54H20 × Cite Format Result Cite Review PDF
Lehrer, Ehud; Pant, Himanshu On strictly ergodic models which are not almost topologically conjugate. (English) Zbl 0742.28008 Isr. J. Math. 73, No. 1, 1-15 (1991). Reviewer: M.G.Nerurkar (Camden) MSC: 28D10 54H20 × Cite Format Result Cite Review PDF Full Text: DOI
Del Junco, Andrés Bernoulli shifts of the same entropy are finitarily and unilaterally isomorphic. (English) Zbl 0697.58032 Ergodic Theory Dyn. Syst. 10, No. 4, 687-715 (1990). Reviewer: A.del Junco MSC: 37A99 28D20 × Cite Format Result Cite Review PDF Full Text: DOI
Rojek, Tadeusz The classification problem in Toeplitz \(Z_ 2\)-extensions. (English) Zbl 0697.28009 Compos. Math. 72, No. 3, 341-358 (1989). Reviewer: G.R.Goodson MSC: 28D05 28D10 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Ringel, Claus Michael Hall algebras. (English) Zbl 0701.16011 Algebra, Proc. Workshop, Ottawa/Can. and Moosonee/Can. 1987, Math. Lect. Note Ser., Expo. Math., CRAF, Carleton Univ. 3, 18 p. (1988). Reviewer: A.Skowroński (Toruń) MSC: 16G10 16E20 17B35 16G70 16P10 × Cite Format Result Cite Review PDF
Warstat, Volker The finitary isomorphism problem for one-dimensional Gibbs systems of molecular type. (English) Zbl 0639.28012 Ann. Inst. Henri Poincaré, Phys. Théor. 46, 397-414 (1987). Reviewer: U.Krengel MSC: 28D20 70G10 28D10 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Schmidt, Klaus Hyperbolic structure preserving isomorphisms of Markov shifts. II. (English) Zbl 0632.28010 Isr. J. Math. 58, 225-242 (1987). Reviewer: M.Denker MSC: 28D05 54H20 28D20 60J99 × Cite Format Result Cite Review PDF Full Text: DOI
Hansoul, Georges Algèbres de Boole primitives. (French) Zbl 0561.06009 Discrete Math. 53, 103-116 (1985). Reviewer: R.S.Pierce MSC: 06E05 03G05 16Y60 × Cite Format Result Cite Review PDF Full Text: DOI
Petit, B. Deux schémas de Bernoulli d’alphabet dénombrable et d’entropie infinie sont finitairement isomorphes. (French) Zbl 0532.28016 Z. Wahrscheinlichkeitstheor. Verw. Geb. 59, 161-168 (1982). Reviewer: D.Newton MSC: 28D05 28D20 × Cite Format Result Cite Review PDF Full Text: DOI
Rudolph, Daniel J. A mixing Markov chain with exponentially decaying return times is finitarily Bernoulli. (English) Zbl 0519.28009 Ergodic Theory Dyn. Syst. 2, 85-97 (1982). MSC: 28D05 54H20 60J27 × Cite Format Result Cite Review PDF Full Text: DOI
Parry, William; Tuncel, Selim Classification problems in ergodic theory. (English) Zbl 0487.28014 London Mathematical Society Lecture Note Series, 67. Cambridge etc.: Cambridge University Press. V, 101 p. £7.50 (1982). MSC: 28D05 28-02 28D20 60G10 54H20 60J27 94B60 × Cite Format Result Cite Review PDF
del Junco, Andres Finitary codes between one-sided Bernoulli shifts. (English) Zbl 0486.28015 Ergodic Theory Dyn. Syst. 1, 285-301 (1981). MSC: 28D05 94B60 28D20 37A05 37A35 × Cite Format Result Cite Review PDF
Parry, William Finitary isomorphisms with finite expected code-lengths. II. (English) Zbl 0473.60002 J. Lond. Math. Soc., II. Ser. 24, 569-576 (1981). MSC: 60A10 94A17 28D05 94A24 × Cite Format Result Cite Review PDF Full Text: DOI
Helmberg, Gilbert Some remarks on \(\varepsilon\)-independence of partitions and on topological Rochlin sets. (English) Zbl 0448.28014 Ergodic theory, Proc., Oberwolfach 1978, Lect. Notes Math. 729, 58-67 (1979). MSC: 28D20 × Cite Format Result Cite Review PDF
Denker, Manfred; Keane, Michael Almost topological dynamical systems. (English) Zbl 0441.28008 Isr. J. Math. 34, 139-160 (1979). MSC: 28D05 54H20 28D10 × Cite Format Result Cite Review PDF Full Text: DOI
Parry, William An information obstruction to finite expected coding length. (English) Zbl 0414.28016 Ergodic theory, Proc., Oberwolfach 1978, Lect. Notes Math. 729, 163-168 (1979). MSC: 28D05 28D20 × Cite Format Result Cite Review PDF
Keane, M.; Smorodinsky, M. The finitary isomorphism theorem for Markov shifts. (English) Zbl 0407.28010 Bull. Am. Math. Soc., new Ser. 1, 436-438 (1979). MSC: 28D05 28D20 37D99 60J10 × Cite Format Result Cite Review PDF Full Text: DOI