Georgakopoulos, Agelos; Lehner, Florian Invariant spanning double rays in amenable groups. (English) Zbl 07282521 Discrete Math. 344, No. 2, Article ID 112207, 7 p. (2021). MSC: 05E16 05C25 43A07 60D05 PDF BibTeX XML Cite \textit{A. Georgakopoulos} and \textit{F. Lehner}, Discrete Math. 344, No. 2, Article ID 112207, 7 p. (2021; Zbl 07282521) Full Text: DOI
Dogan, Mutlay Dynamic behaviors of \(p\)-adic Ising-Vannimenus model on the Cayley tree of order three. (English) Zbl 07314107 Malays. J. Math. Sci. 14, No. 2, 305-320 (2020). MSC: 37 39 PDF BibTeX XML Cite \textit{M. Dogan}, Malays. J. Math. Sci. 14, No. 2, 305--320 (2020; Zbl 07314107) Full Text: Link
Mukhamedov, Farrukh; Souissi, Abdessatar Types of factors generated by quantum Markov states of Ising model with competing interactions on the Cayley tree. (English) Zbl 07308692 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 3, Article ID 2050019, 15 p. (2020). MSC: 46L53 46L60 82B10 81Q10 PDF BibTeX XML Cite \textit{F. Mukhamedov} and \textit{A. Souissi}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 3, Article ID 2050019, 15 p. (2020; Zbl 07308692) Full Text: DOI
Rahmatullaev, Muzaffar M.; Abraev, B. U. Non-translation-invariant Gibbs measures of an SOS model on a Cayley tree. (English) Zbl 07304323 Rep. Math. Phys. 86, No. 3, 315-324 (2020). MSC: 82B05 82B20 60K35 PDF BibTeX XML Cite \textit{M. M. Rahmatullaev} and \textit{B. U. Abraev}, Rep. Math. Phys. 86, No. 3, 315--324 (2020; Zbl 07304323) Full Text: DOI
Haydarov, Farhod Halimjonovich; Akhtamaliyev, Shamshod A.; Nazirov, Madalixon A.; Qarshiyev, Behzod Boyxonovich Uniqueness of Gibbs measures for an Ising model with continuous spin values on a Cayley tree. (English) Zbl 07304321 Rep. Math. Phys. 86, No. 3, 293-302 (2020). MSC: 82B05 82B20 60K35 PDF BibTeX XML Cite \textit{F. H. Haydarov} et al., Rep. Math. Phys. 86, No. 3, 293--302 (2020; Zbl 07304321) Full Text: DOI
Eshkabilov, Yu. Kh.; Botirov, G. I.; Khaidarov, F. Kh. Phase transitions for models with a continuum set of spin values on a Bethe lattice. (English. Russian original) Zbl 07284350 Theor. Math. Phys. 205, No. 1, 1372-1380 (2020); translation from Teor. Mat. Fiz. 205, No. 1, 146-155 (2020). MSC: 82B20 82B26 82B28 05C05 PDF BibTeX XML Cite \textit{Yu. Kh. Eshkabilov} et al., Theor. Math. Phys. 205, No. 1, 1372--1380 (2020; Zbl 07284350); translation from Teor. Mat. Fiz. 205, No. 1, 146--155 (2020) Full Text: DOI
Khakimov, R. M.; Makhammadaliev, M. T. Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model. (English. Russian original) Zbl 07283654 Theor. Math. Phys. 204, No. 2, 1059-1078 (2020); translation from Teor. Mat. Fiz. 204, No. 2, 258-279 (2020). MSC: 82B30 82B20 05C05 PDF BibTeX XML Cite \textit{R. M. Khakimov} and \textit{M. T. Makhammadaliev}, Theor. Math. Phys. 204, No. 2, 1059--1078 (2020; Zbl 07283654); translation from Teor. Mat. Fiz. 204, No. 2, 258--279 (2020) Full Text: DOI
Deka, Budheswar; Bharali, A. The generalized ISI index of some derived networks. (English) Zbl 07274321 J. Adv. Math. Stud. 13, No. 2, 179-191 (2020). MSC: 05C82 05C09 05C07 05C40 05C92 92E10 PDF BibTeX XML Cite \textit{B. Deka} and \textit{A. Bharali}, J. Adv. Math. Stud. 13, No. 2, 179--191 (2020; Zbl 07274321) Full Text: Link
Mukhamedov, F. M.; Rakhmatullaev, M. M.; Rasulova, M. A. Weakly periodic ground states for the \(\lambda \)-model. (English. Russian original) Zbl 07272694 Ukr. Math. J. 72, No. 5, 771-784 (2020); translation from Ukr. Mat. Zh. 72, No. 5, 667-678 (2020). MSC: 82B20 05C05 PDF BibTeX XML Cite \textit{F. M. Mukhamedov} et al., Ukr. Math. J. 72, No. 5, 771--784 (2020; Zbl 07272694); translation from Ukr. Mat. Zh. 72, No. 5, 667--678 (2020) Full Text: DOI
Khatamov, N. M. Translation-invariant extreme Gibbs measures for the Blume-Capel model withwand on a Cayley tree. (English. Russian original) Zbl 1451.82036 Ukr. Math. J. 72, No. 4, 623-641 (2020); translation from Ukr. Mat. Zh. 72, No. 4, 540-556 (2020). MSC: 82C20 82C27 05C05 PDF BibTeX XML Cite \textit{N. M. Khatamov}, Ukr. Math. J. 72, No. 4, 623--641 (2020; Zbl 1451.82036); translation from Ukr. Mat. Zh. 72, No. 4, 540--556 (2020) Full Text: DOI
Zhang, Yan; Mamut, Aygul The generalized 3-connectivity of Cayley graphs generated by wheel graphs. (Chinese. English summary) Zbl 07267093 J. Sichuan Norm. Univ., Nat. Sci. 43, No. 3, 345-349 (2020). MSC: 05C40 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{A. Mamut}, J. Sichuan Norm. Univ., Nat. Sci. 43, No. 3, 345--349 (2020; Zbl 07267093) Full Text: DOI
Yang, Jie; Yang, Weiguo The generalized entropy ergodic theorem for nonhomogeneous Markov chains indexed by a Cayley tree. (Chinese. English summary) Zbl 07266438 Chin. Ann. Math., Ser. A 41, No. 1, 99-114 (2020). MSC: 37A50 60F15 60J10 PDF BibTeX XML Cite \textit{J. Yang} and \textit{W. Yang}, Chin. Ann. Math., Ser. A 41, No. 1, 99--114 (2020; Zbl 07266438) Full Text: DOI
Zhao, Shu-Li; Chang, Jou-Ming; Hao, Rong-Xia Reliability assessment of the Cayley graph generated by trees. (English) Zbl 1450.05047 Discrete Appl. Math. 287, 10-14 (2020). Reviewer: Valeriano Aiello (Genève) MSC: 05C40 05C25 05C05 05C10 PDF BibTeX XML Cite \textit{S.-L. Zhao} et al., Discrete Appl. Math. 287, 10--14 (2020; Zbl 1450.05047) Full Text: DOI
Dorlas, T. C.; Rebenko, A. L.; Savoie, B. Correlation of clusters: partially truncated correlation functions and their decay. (English) Zbl 1434.82041 J. Math. Phys. 61, No. 3, 033303, 28 p. (2020). MSC: 82C05 PDF BibTeX XML Cite \textit{T. C. Dorlas} et al., J. Math. Phys. 61, No. 3, 033303, 28 p. (2020; Zbl 1434.82041) Full Text: DOI
Akın, Hasan; Chang, Chih-Hung The entropy and reversibility of cellular automata on Cayley tree. (English) Zbl 1442.37028 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 4, Article ID 2050061, 12 p. (2020). MSC: 37B15 37E25 28D20 PDF BibTeX XML Cite \textit{H. Akın} and \textit{C.-H. Chang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 4, Article ID 2050061, 12 p. (2020; Zbl 1442.37028) Full Text: DOI
Ban, Jung-Chao; Chang, Chih-Hung; Huang, Nai-Zhu Entropy bifurcation of neural networks on Cayley trees. (English) Zbl 1436.37008 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2050015, 13 p. (2020). MSC: 37A35 37B10 92B20 05C05 PDF BibTeX XML Cite \textit{J.-C. Ban} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2050015, 13 p. (2020; Zbl 1436.37008) Full Text: DOI
Mukhamedov, Farrukh; El Gheteb, Soueidy Factors generated by XY-model with competing Ising interactions on the Cayley tree. (English) Zbl 07152979 Ann. Henri Poincaré 21, No. 1, 241-253 (2020). Reviewer: Nasir N. Ganikhodjaev (Tashkent) MSC: 46L53 46L60 82B10 81Q10 46L36 PDF BibTeX XML Cite \textit{F. Mukhamedov} and \textit{S. El Gheteb}, Ann. Henri Poincaré 21, No. 1, 241--253 (2020; Zbl 07152979) Full Text: DOI
Dogan, Mutlay On dynamical behavior of the \(p\)-adic \(\lambda\)-Ising model on Cayley tree. (English) Zbl 07273807 J. Math. Phys. Anal. Geom. 15, No. 3, 321-335 (2019). MSC: 82B20 82B26 05C05 PDF BibTeX XML Cite \textit{M. Dogan}, J. Math. Phys. Anal. Geom. 15, No. 3, 321--335 (2019; Zbl 07273807) Full Text: DOI
Khakimov, R. M.; Makhammadaliev, M. T. Translation invariance of the periodic Gibbs measures for the Potts model on the Cayley tree. (English. Russian original) Zbl 1434.82016 Theor. Math. Phys. 199, No. 2, 726-735 (2019); translation from Teor. Mat. Fiz. 199, No. 2, 291-301 (2019). MSC: 82B20 82B30 82D40 05C05 PDF BibTeX XML Cite \textit{R. M. Khakimov} and \textit{M. T. Makhammadaliev}, Theor. Math. Phys. 199, No. 2, 726--735 (2019; Zbl 1434.82016); translation from Teor. Mat. Fiz. 199, No. 2, 291--301 (2019) Full Text: DOI
Rasulova, M. A. Periodic Gibbs measures for the Potts-SOS model on a Cayley tree. (English. Russian original) Zbl 1428.82016 Theor. Math. Phys. 199, No. 1, 586-592 (2019); translation from Teor. Mat. Fiz. 199, No. 1, 134-141 (2019). MSC: 82B20 82B30 05C05 PDF BibTeX XML Cite \textit{M. A. Rasulova}, Theor. Math. Phys. 199, No. 1, 586--592 (2019; Zbl 1428.82016); translation from Teor. Mat. Fiz. 199, No. 1, 134--141 (2019) Full Text: DOI
Henning, Florian; Külske, Christof; Le Ny, Arnaud; Rozikov, Utkir A. Gradient Gibbs measures for the SOS model with countable values on a Cayley tree. (English) Zbl 1431.82014 Electron. J. Probab. 24, Paper No. 104, 23 p. (2019). MSC: 82B26 60K35 05C05 82B20 82D40 PDF BibTeX XML Cite \textit{F. Henning} et al., Electron. J. Probab. 24, Paper No. 104, 23 p. (2019; Zbl 1431.82014) Full Text: DOI Euclid
Siddiqui, Muhammad Kamran; Imran, Muhammad; Iqbal, Muhammad Azhar Molecular descriptors of discrete dynamical system in fractal and Cayley tree type dendrimers. (English) Zbl 1428.05087 J. Appl. Math. Comput. 61, No. 1-2, 57-72 (2019). MSC: 05C12 05C90 05C10 PDF BibTeX XML Cite \textit{M. K. Siddiqui} et al., J. Appl. Math. Comput. 61, No. 1--2, 57--72 (2019; Zbl 1428.05087) Full Text: DOI
Clark, Chad; Egri-Nagy, Attila; Francis, Andrew; Gebhardt, Volker Bacterial phylogeny in the Cayley graph. (English) Zbl 1426.05063 Discrete Math. Algorithms Appl. 11, No. 5, Article ID 1950059, 14 p. (2019). MSC: 05C25 05C12 05C90 06A07 92D15 92D10 PDF BibTeX XML Cite \textit{C. Clark} et al., Discrete Math. Algorithms Appl. 11, No. 5, Article ID 1950059, 14 p. (2019; Zbl 1426.05063) Full Text: DOI
Ban, Jung-Chao; Chang, Chih-Hung Complexity of neural networks on Fibonacci-Cayley tree. (English) Zbl 1427.37012 J. Algebra Comb. Discrete Struct. Appl. 6, No. 2, 105-122 (2019). MSC: 37B51 37B10 37A35 92B20 PDF BibTeX XML Cite \textit{J.-C. Ban} and \textit{C.-H. Chang}, J. Algebra Comb. Discrete Struct. Appl. 6, No. 2, 105--122 (2019; Zbl 1427.37012) Full Text: DOI
Khatamov, Nosir; Khakimov, Rustam Translation-invariant Gibbs measures for the Blum-Kapel model on a Cayley tree. (English) Zbl 1428.82023 J. Math. Phys. Anal. Geom. 15, No. 2, 239-255 (2019). MSC: 82B26 60K35 05C05 82B27 PDF BibTeX XML Cite \textit{N. Khatamov} and \textit{R. Khakimov}, J. Math. Phys. Anal. Geom. 15, No. 2, 239--255 (2019; Zbl 1428.82023) Full Text: DOI
Kamiński, Bogumił; Prałat, Paweł Sub-trees of a random tree. (English) Zbl 1419.05047 Discrete Appl. Math. 268, 119-129 (2019). MSC: 05C05 05C80 05C30 PDF BibTeX XML Cite \textit{B. Kamiński} and \textit{P. Prałat}, Discrete Appl. Math. 268, 119--129 (2019; Zbl 1419.05047) Full Text: DOI
Chio, Ivan; He, Caleb; Ji, Anthony L.; Roeder, Roland K. W. Limiting measure of Lee-Yang zeros for the Cayley tree. (English) Zbl 1428.82007 Commun. Math. Phys. 370, No. 3, 925-957 (2019). Reviewer: Hasan Akin (Gaziantep) MSC: 82B20 82B26 05C05 PDF BibTeX XML Cite \textit{I. Chio} et al., Commun. Math. Phys. 370, No. 3, 925--957 (2019; Zbl 1428.82007) Full Text: DOI
Mukhamedov, Farrukh; El Gheteb, Soueidy Clustering property of quantum Markov chain associated to XY-model with competing Ising interactions on the Cayley tree of order two. (English) Zbl 1421.46044 Math. Phys. Anal. Geom. 22, No. 1, Paper No. 10, 15 p. (2019). MSC: 46L53 60J99 46L60 60G50 82B10 81Q10 PDF BibTeX XML Cite \textit{F. Mukhamedov} and \textit{S. El Gheteb}, Math. Phys. Anal. Geom. 22, No. 1, Paper No. 10, 15 p. (2019; Zbl 1421.46044) Full Text: DOI
Dore, Luiz Henrique; Stosic, Borko Population persistence in Cayley trees. (English) Zbl 1409.92191 Ann. Mat. Pura Appl. (4) 198, No. 1, 263-272 (2019). MSC: 92D25 92D40 05C90 PDF BibTeX XML Cite \textit{L. H. Dore} and \textit{B. Stosic}, Ann. Mat. Pura Appl. (4) 198, No. 1, 263--272 (2019; Zbl 1409.92191) Full Text: DOI
Reutenauer, Christophe From Christoffel words to Markoff numbers. (English) Zbl 1443.11002 Oxford: Oxford University Press (ISBN 978-0-19-882754-2/hbk). xi, 156 p. (2019). Reviewer: Ioan Tomescu (Bucureşti) MSC: 11-02 05-02 05A05 11A55 11J06 68R15 PDF BibTeX XML Cite \textit{C. Reutenauer}, From Christoffel words to Markoff numbers. Oxford: Oxford University Press (2019; Zbl 1443.11002) Full Text: DOI
Dogan, Mutlay Phase transition of mixed type \(p\)-adic \({\lambda}\)-Ising model on Cayley tree. (English) Zbl 1421.82004 \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 4, 276-286 (2018). MSC: 82B20 05C05 PDF BibTeX XML Cite \textit{M. Dogan}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 4, 276--286 (2018; Zbl 1421.82004) Full Text: DOI
Abdallah, Mohamad; Cheng, Eddie Panconnectivity of 2-tree-generated networks. (English) Zbl 1420.05090 Congr. Numerantium 230, 89-103 (2018). MSC: 05C40 05C82 05C25 PDF BibTeX XML Cite \textit{M. Abdallah} and \textit{E. Cheng}, Congr. Numerantium 230, 89--103 (2018; Zbl 1420.05090)
Yang, Jie; Yang, Weiguo The generalized entropy ergodic theorem for homogeneous Markov chains indexed by a homogeneous tree. (Chinese. English summary) Zbl 1424.60043 Chin. J. Eng. Math. 35, No. 3, 295-307 (2018). MSC: 60F15 60J10 PDF BibTeX XML Cite \textit{J. Yang} and \textit{W. Yang}, Chin. J. Eng. Math. 35, No. 3, 295--307 (2018; Zbl 1424.60043) Full Text: DOI
Rozikov, Utkir Holliday junctions for the Potts model of DNA. (English) Zbl 1403.05153 Ibragimov, Zair (ed.) et al., Algebra, complex analysis, and pluripotential theory. 2 USUZCAMP, Urgench, Uzbekistan, August 8–12, 2017. Cham: Springer (ISBN 978-3-030-01143-7/hbk; 978-3-030-01144-4/ebook). Springer Proceedings in Mathematics & Statistics 264, 151-165 (2018). MSC: 05C90 05C25 05C05 92D20 PDF BibTeX XML Cite \textit{U. Rozikov}, in: Algebra, complex analysis, and pluripotential theory. 2 USUZCAMP, Urgench, Uzbekistan, August 8--12, 2017. Cham: Springer. 151--165 (2018; Zbl 1403.05153) Full Text: DOI
Rozikov, U. A.; Khakimov, R. M.; Khaidarov, F. Kh. Extremality of the translation-invariant Gibbs measures for the Potts model on the Cayley tree. (English. Russian original) Zbl 1401.82009 Theor. Math. Phys. 196, No. 1, 1043-1058 (2018); translation from Teor. Mat. Fiz. 196, No. 1, 117-134 (2018). MSC: 82B20 82B30 PDF BibTeX XML Cite \textit{U. A. Rozikov} et al., Theor. Math. Phys. 196, No. 1, 1043--1058 (2018; Zbl 1401.82009); translation from Teor. Mat. Fiz. 196, No. 1, 117--134 (2018) Full Text: DOI
Bonanome, Marianna C.; Dean, Margaret H.; Putnam Dean, Judith A sampling of remarkable groups. Thompson’s, self-similar, lamplighter, and Baumslag-Solitar. (English) Zbl 1446.20001 Compact Textbooks in Mathematics. Cham: Birkhäuser (ISBN 978-3-030-01976-1/pbk; 978-3-030-01978-5/ebook). xii, 188 p. (2018). Reviewer: Enrico Jabara (Venezia) MSC: 20-01 20E06 20E08 20E22 20F10 20F50 20F65 22F50 PDF BibTeX XML Cite \textit{M. C. Bonanome} et al., A sampling of remarkable groups. Thompson's, self-similar, lamplighter, and Baumslag-Solitar. Cham: Birkhäuser (2018; Zbl 1446.20001) Full Text: DOI
Rozikov, U. A.; Botirov, G. I. Nontranslation invariant Gibbs measures for models with uncountable set of spin values on a Cayley tree. (English) Zbl 1398.82013 Rep. Math. Phys. 81, No. 1, 105-115 (2018). MSC: 82B05 82B20 60K35 PDF BibTeX XML Cite \textit{U. A. Rozikov} and \textit{G. I. Botirov}, Rep. Math. Phys. 81, No. 1, 105--115 (2018; Zbl 1398.82013) Full Text: DOI arXiv
Matraś, Andrzej; Siemaszko, Artur The Cayley property of some distant graphs and relationship with the Stern-Brocot tree. (English) Zbl 1398.05104 Result. Math. 73, No. 4, Paper No. 141, 14 p. (2018). MSC: 05C25 05C05 51C05 PDF BibTeX XML Cite \textit{A. Matraś} and \textit{A. Siemaszko}, Result. Math. 73, No. 4, Paper No. 141, 14 p. (2018; Zbl 1398.05104) Full Text: DOI
Haydarov, F. H. Fixed points of Lyapunov integral operators and Gibbs measures. (English) Zbl 1400.82012 Positivity 22, No. 4, 1165-1172 (2018). MSC: 82B05 82B20 60K35 05C05 PDF BibTeX XML Cite \textit{F. H. Haydarov}, Positivity 22, No. 4, 1165--1172 (2018; Zbl 1400.82012) Full Text: DOI arXiv
Ganikhodjaev, Nasir; Rahmatullaev, Muzaffar; Rodzhan, Mohd Hirzie Bin Mohd Weakly periodic Gibbs measures of the Ising model on the Cayley tree of order five and six. (English) Zbl 1398.82019 Math. Phys. Anal. Geom. 21, No. 1, Paper No. 2, 10 p. (2018). Reviewer: E. Ahmed (Mansoura) MSC: 82B20 05C05 20E08 PDF BibTeX XML Cite \textit{N. Ganikhodjaev} et al., Math. Phys. Anal. Geom. 21, No. 1, Paper No. 2, 10 p. (2018; Zbl 1398.82019) Full Text: DOI
Ahmad, Mohd Ali Khameini; Liao, Lingmin; Saburov, Mansoor Periodic \(p\)-adic Gibbs measures of \(q\)-state Potts model on Cayley trees. I: The chaos implies the vastness of the set of \(p\)-adic Gibbs measures. (English) Zbl 1397.82008 J. Stat. Phys. 171, No. 6, 1000-1034 (2018). Reviewer: Hasan Akin (Gaziantep) MSC: 82B20 05C05 81Q65 82B26 60K35 PDF BibTeX XML Cite \textit{M. A. K. Ahmad} et al., J. Stat. Phys. 171, No. 6, 1000--1034 (2018; Zbl 1397.82008) Full Text: DOI
Chauvin, Brigitte; Clément, Julien; Gardy, Danièle Trees for algorithmics. (Arbres pour l’algorithmique.) (French) Zbl 1427.68007 Mathématiques & Applications (Berlin) 83. Cham: Springer (ISBN 978-3-319-93724-3/pbk; 978-3-319-93725-0/ebook). xxxi, 513 p. (2018). Reviewer: Irina Ioana Mohorianu (Oxford) MSC: 68-02 68P05 68W01 PDF BibTeX XML Cite \textit{B. Chauvin} et al., Arbres pour l'algorithmique. Cham: Springer (2018; Zbl 1427.68007) Full Text: DOI
Khakimov, R. M. Weakly periodic Gibbs measures for HC-models on Cayley trees. (English. Russian original) Zbl 1397.82016 Sib. Math. J. 59, No. 1, 147-156 (2018); translation from Sib. Mat. Zh. 59, No. 1, 185-196 (2018). Reviewer: Hasan Akin (Gaziantep) MSC: 82B20 05C05 82B26 82B27 PDF BibTeX XML Cite \textit{R. M. Khakimov}, Sib. Math. J. 59, No. 1, 147--156 (2018; Zbl 1397.82016); translation from Sib. Mat. Zh. 59, No. 1, 185--196 (2018) Full Text: DOI
Dang, Hui The strong law of large numbers for non homogeneous M-bifurcating Markov chains indexed by a M-branch Cayley tree. (English) Zbl 1391.60052 Commun. Stat., Theory Methods 47, No. 9, 2110-2125 (2018). MSC: 60F15 60J10 PDF BibTeX XML Cite \textit{H. Dang}, Commun. Stat., Theory Methods 47, No. 9, 2110--2125 (2018; Zbl 1391.60052) Full Text: DOI
Pitman, Jim; Tang, Wenpin Tree formulas, mean first passage times and Kemeny’s constant of a Markov chain. (English) Zbl 06839256 Bernoulli 24, No. 3, 1942-1972 (2018). Reviewer: Alexander I. Zejfman (Vologda) MSC: 60J10 05C81 05C05 PDF BibTeX XML Cite \textit{J. Pitman} and \textit{W. Tang}, Bernoulli 24, No. 3, 1942--1972 (2018; Zbl 06839256) Full Text: DOI Euclid arXiv
Sun, Yuefang; Li, Fengwei; Jin, Zemin On two generalized connectivities of graphs. (English) Zbl 1377.05082 Discuss. Math., Graph Theory 38, No. 1, 245-261 (2018). MSC: 05C25 05C40 05C76 PDF BibTeX XML Cite \textit{Y. Sun} et al., Discuss. Math., Graph Theory 38, No. 1, 245--261 (2018; Zbl 1377.05082) Full Text: DOI
Gao, R.; Yang, W. G. Strong laws of large numbers and the asymptotic equipartition property for the asymptotic \(N\)-branch Markov chains indexed by a Cayley tree. (English) Zbl 1418.60022 Ukr. Math. J. 69, No. 7, 1060-1074 (2017) and Ukr. Mat. Zh. 69, No. 7, 912-924 (2017). MSC: 60F15 60J20 PDF BibTeX XML Cite \textit{R. Gao} and \textit{W. G. Yang}, Ukr. Math. J. 69, No. 7, 1060--1074 (2017; Zbl 1418.60022) Full Text: DOI
Mukhamedov, Farrukh; Pah, Chin Hee; Saburov, Mansoor On connected sub-tree with fixed nodes in Cayley tree of order 2. (English) Zbl 1399.05036 Southeast Asian Bull. Math. 41, No. 3, 431-456 (2017). MSC: 05C05 05C25 PDF BibTeX XML Cite \textit{F. Mukhamedov} et al., Southeast Asian Bull. Math. 41, No. 3, 431--456 (2017; Zbl 1399.05036)
Chang, Chih-Hung; Su, Jing-Yi Reversibility of linear cellular automata on Cayley trees with periodic boundary condition. (English) Zbl 1432.37023 Taiwanese J. Math. 21, No. 6, 1335-1353 (2017). MSC: 37B15 68Q80 03D35 PDF BibTeX XML Cite \textit{C.-H. Chang} and \textit{J.-Y. Su}, Taiwanese J. Math. 21, No. 6, 1335--1353 (2017; Zbl 1432.37023) Full Text: DOI Euclid arXiv
Khakimov, O. N. \(p\)-adic solid-on-solid model on a Cayley tree. (English. Russian original) Zbl 1387.82011 Theor. Math. Phys. 193, No. 3, 1880-1893 (2017); translation from Teor. Mat. Fiz. 193, No. 3, 547-562 (2017). MSC: 82B20 82B30 82B26 05C05 11S80 PDF BibTeX XML Cite \textit{O. N. Khakimov}, Theor. Math. Phys. 193, No. 3, 1880--1893 (2017; Zbl 1387.82011); translation from Teor. Mat. Fiz. 193, No. 3, 547--562 (2017) Full Text: DOI
Rozikov, U. A.; Tugyonov, Z. T. Construction of a set of \(p\)-adic distributions. (English. Russian original) Zbl 1387.82028 Theor. Math. Phys. 193, No. 2, 1694-1702 (2017); translation from Teor. Mat. Fiz. 193, No. 2, 333-342 (2017). MSC: 82B30 PDF BibTeX XML Cite \textit{U. A. Rozikov} and \textit{Z. T. Tugyonov}, Theor. Math. Phys. 193, No. 2, 1694--1702 (2017; Zbl 1387.82028); translation from Teor. Mat. Fiz. 193, No. 2, 333--342 (2017) Full Text: DOI arXiv
Rozikov, U. A.; Rakhmatullaev, M. M. Free energies of the Potts model on a Cayley tree. (English. Russian original) Zbl 1434.82027 Theor. Math. Phys. 190, No. 1, 98-108 (2017); translation from Teor. Mat. Fiz. 190, No. 1, 112-123 (2017). MSC: 82B20 82B30 05C05 PDF BibTeX XML Cite \textit{U. A. Rozikov} and \textit{M. M. Rakhmatullaev}, Theor. Math. Phys. 190, No. 1, 98--108 (2017; Zbl 1434.82027); translation from Teor. Mat. Fiz. 190, No. 1, 112--123 (2017) Full Text: DOI
Ban, Jung-Chao; Chang, Chih-Hung Mixing properties of tree-shifts. (English) Zbl 1380.37033 J. Math. Phys. 58, No. 11, 112702, 13 p. (2017). MSC: 37B50 05C05 37B10 37A25 37E25 03D35 PDF BibTeX XML Cite \textit{J.-C. Ban} and \textit{C.-H. Chang}, J. Math. Phys. 58, No. 11, 112702, 13 p. (2017; Zbl 1380.37033) Full Text: DOI
Botirov, G. I. A model with uncountable set of spin values on a Cayley tree: phase transitions. (English) Zbl 1386.82003 Positivity 21, No. 3, 955-961 (2017). MSC: 82B05 82B20 60K35 PDF BibTeX XML Cite \textit{G. I. Botirov}, Positivity 21, No. 3, 955--961 (2017; Zbl 1386.82003) Full Text: DOI
Bissacot, Rodrigo; Endo, Eric Ossami; van Enter, Aernout C. D. Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields. (English) Zbl 1373.82017 Stochastic Processes Appl. 127, No. 12, 4126-4138 (2017). MSC: 82B20 05C05 82B26 PDF BibTeX XML Cite \textit{R. Bissacot} et al., Stochastic Processes Appl. 127, No. 12, 4126--4138 (2017; Zbl 1373.82017) Full Text: DOI arXiv
Rozikov, U. A. Tree-hierarchy of DNA and distribution of Holliday junctions. (English) Zbl 1383.92060 J. Math. Biol. 75, No. 6-7, 1715-1733 (2017). MSC: 92D20 82B20 05C90 60J20 PDF BibTeX XML Cite \textit{U. A. Rozikov}, J. Math. Biol. 75, No. 6--7, 1715--1733 (2017; Zbl 1383.92060) Full Text: DOI
Rozikov, U. A.; Haydarov, F. H. Four competing interactions for models with an uncountable set of spin values on a Cayley tree. (English. Russian original) Zbl 1387.82015 Theor. Math. Phys. 191, No. 3, 910-923 (2017); translation from Teor. Mat. Fiz. 191, No. 3, 503-517 (2017). Reviewer: Guy Jumarie (Montréal) MSC: 82B20 82B30 82B26 05C05 PDF BibTeX XML Cite \textit{U. A. Rozikov} and \textit{F. H. Haydarov}, Theor. Math. Phys. 191, No. 3, 910--923 (2017; Zbl 1387.82015); translation from Teor. Mat. Fiz. 191, No. 3, 503--517 (2017) Full Text: DOI
Mukhamedov, Farrukh; El Gheteb, Soueidy Uniqueness of quantum Markov chain associated with XY-Ising model on Cayley tree of order two. (English) Zbl 1376.82019 Open Syst. Inf. Dyn. 24, No. 2, Article ID 1750010, 20 p. (2017). MSC: 82B20 82B31 81S25 05C05 PDF BibTeX XML Cite \textit{F. Mukhamedov} and \textit{S. El Gheteb}, Open Syst. Inf. Dyn. 24, No. 2, Article ID 1750010, 20 p. (2017; Zbl 1376.82019) Full Text: DOI
Gandolfo, D.; Rahmatullaev, M. M.; Rozikov, U. A. Boundary conditions for translation-invariant Gibbs measures of the Potts model on Cayley trees. (English) Zbl 1376.82027 J. Stat. Phys. 167, No. 5, 1164-1179 (2017). MSC: 82B26 60K35 82B20 05C05 PDF BibTeX XML Cite \textit{D. Gandolfo} et al., J. Stat. Phys. 167, No. 5, 1164--1179 (2017; Zbl 1376.82027) Full Text: DOI arXiv
Külske, Christof; Rozikov, Utkir A. Fuzzy transformations and extremality of Gibbs measures for the Potts model on a Cayley tree. (English) Zbl 1368.05068 Random Struct. Algorithms 50, No. 4, 636-678 (2017). MSC: 05C25 05C35 05C60 05C05 05C12 82B26 60K35 82B20 PDF BibTeX XML Cite \textit{C. Külske} and \textit{U. A. Rozikov}, Random Struct. Algorithms 50, No. 4, 636--678 (2017; Zbl 1368.05068) Full Text: DOI
Dong, Fengming; Yan, Weigen Expression for the number of spanning trees of line graphs of arbitrary connected graphs. (English) Zbl 1365.05249 J. Graph Theory 85, No. 1, 74-93 (2017). MSC: 05C76 05C05 PDF BibTeX XML Cite \textit{F. Dong} and \textit{W. Yan}, J. Graph Theory 85, No. 1, 74--93 (2017; Zbl 1365.05249) Full Text: DOI arXiv
Akın, Hasan Phase transition and Gibbs measures of Vannimenus model on semi-infinite Cayley tree of order three. (English) Zbl 1365.82010 Int. J. Mod. Phys. B 31, No. 13, Article ID 1750093, 17 p. (2017). MSC: 82B26 82B20 82C22 PDF BibTeX XML Cite \textit{H. Akın}, Int. J. Mod. Phys. B 31, No. 13, Article ID 1750093, 17 p. (2017; Zbl 1365.82010) Full Text: DOI arXiv
Shi, Zhiyan; Yang, Weiguo Strong laws of large numbers for the \(m\)th-order asymptotic odd-even Markov chains indexed by an \(m\)-rooted Cayley tree. (English) Zbl 1360.60070 Commun. Stat., Theory Methods 46, No. 4, 1855-1870 (2017). MSC: 60F15 60J10 PDF BibTeX XML Cite \textit{Z. Shi} and \textit{W. Yang}, Commun. Stat., Theory Methods 46, No. 4, 1855--1870 (2017; Zbl 1360.60070) Full Text: DOI
Huang, Huilin; Yang, Weiguo; Shi, Zhiyan Asymptotic equipartition property for second-order circular Markov chains indexed by a two-rooted Cayley tree. (English) Zbl 1379.60078 Commun. Stat., Theory Methods 46, No. 3, 1275-1289 (2017). MSC: 60J10 60C05 05C80 PDF BibTeX XML Cite \textit{H. Huang} et al., Commun. Stat., Theory Methods 46, No. 3, 1275--1289 (2017; Zbl 1379.60078) Full Text: DOI
Karamched, Bhargav R.; Bressloff, Paul C. Effects of cell geometry on reversible vesicular transport. (English) Zbl 1357.92023 J. Phys. A, Math. Theor. 50, No. 5, Article ID 055601, 25 p. (2017). MSC: 92C37 92C40 PDF BibTeX XML Cite \textit{B. R. Karamched} and \textit{P. C. Bressloff}, J. Phys. A, Math. Theor. 50, No. 5, Article ID 055601, 25 p. (2017; Zbl 1357.92023) Full Text: DOI
Mukhamedov, Farrukh; Barhoumi, Abdessatar; Souissi, Abdessatar On an algebraic property of the disordered phase of the Ising model with competing interactions on a Cayley tree. (English) Zbl 1413.46060 Math. Phys. Anal. Geom. 19, No. 4, Paper No. 21, 18 p. (2016). MSC: 46L53 60J99 46L60 60G50 82B10 81Q10 94A17 PDF BibTeX XML Cite \textit{F. Mukhamedov} et al., Math. Phys. Anal. Geom. 19, No. 4, Paper No. 21, 18 p. (2016; Zbl 1413.46060) Full Text: DOI
Eshkabilov, Yu. Kh.; Bobonazarov, Sh. P.; Teshaboev, R. I. Translation-invariant Gibbs measures for a model with logarithmic potential on a Cayley tree. (English) Zbl 1365.82003 Nanosyst., Phys. Chem. Math. 7, No. 5, 893-899 (2016). MSC: 82B05 82B20 60K35 PDF BibTeX XML Cite \textit{Yu. Kh. Eshkabilov} et al., Nanosyst., Phys. Chem. Math. 7, No. 5, 893--899 (2016; Zbl 1365.82003) Full Text: DOI
Haydarov, F. H. Characterization of the normal subgroups of finite index for the group representation of a Cayley tree. (English) Zbl 1365.82004 Nanosyst., Phys. Chem. Math. 7, No. 5, 888-892 (2016). MSC: 82B05 82B20 60K25 20B05 PDF BibTeX XML Cite \textit{F. H. Haydarov}, Nanosyst., Phys. Chem. Math. 7, No. 5, 888--892 (2016; Zbl 1365.82004) Full Text: DOI
Rahmatullaev, M. M. On weakly periodic Gibbs measures of the Potts model with a special external field on a Cayley tree. (English) Zbl 1362.82020 J. Math. Phys. Anal. Geom. 12, No. 4, 302-314 (2016). MSC: 82B26 60K35 PDF BibTeX XML Cite \textit{M. M. Rahmatullaev}, J. Math. Phys. Anal. Geom. 12, No. 4, 302--314 (2016; Zbl 1362.82020) Full Text: DOI
Khakimov, R. M.; Khaydarov, F. Kh. Translation-invariant and periodic Gibbs measures for the Potts model on a Cayley tree. (English. Russian original) Zbl 1362.82010 Theor. Math. Phys. 189, No. 2, 1651-1659 (2016); translation from Teor. Mat. Fiz. 189, No. 2, 286-295 (2016). MSC: 82B20 82B30 05C05 82D40 PDF BibTeX XML Cite \textit{R. M. Khakimov} and \textit{F. Kh. Khaydarov}, Theor. Math. Phys. 189, No. 2, 1651--1659 (2016; Zbl 1362.82010); translation from Teor. Mat. Fiz. 189, No. 2, 286--295 (2016) Full Text: DOI arXiv
Gandolfo, D.; Rozikov, U. A.; Ruiz, J. On four state hard core models on the Cayley tree. (English) Zbl 1360.82030 Markov Process. Relat. Fields 22, No. 2, 359-377 (2016). MSC: 82B26 60K35 05C05 82B20 PDF BibTeX XML Cite \textit{D. Gandolfo} et al., Markov Process. Relat. Fields 22, No. 2, 359--377 (2016; Zbl 1360.82030) Full Text: arXiv
Sun, Yuefang; Zhou, Sanming Tree connectivities of Cayley graphs on abelian groups with small degrees. (English) Zbl 1353.05062 Bull. Malays. Math. Sci. Soc. (2) 39, No. 4, 1673-1685 (2016). MSC: 05C25 05C40 05C70 PDF BibTeX XML Cite \textit{Y. Sun} and \textit{S. Zhou}, Bull. Malays. Math. Sci. Soc. (2) 39, No. 4, 1673--1685 (2016; Zbl 1353.05062) Full Text: DOI
Khakimov, O. N. A \(p\)-adic hard-core model with three states on a Cayley tree. (English. Russian original) Zbl 1356.82011 Sib. Math. J. 57, No. 4, 726-734 (2016); translation from Sib. Mat. Zh. 57, No. 4, 928-939 (2016). Reviewer: Hasan Akin (Gaziantep) MSC: 82B20 05C05 PDF BibTeX XML Cite \textit{O. N. Khakimov}, Sib. Math. J. 57, No. 4, 726--734 (2016; Zbl 1356.82011); translation from Sib. Mat. Zh. 57, No. 4, 928--939 (2016) Full Text: DOI
Eshkabilov, Yusup Khalbaevich; Nodirov, Shohruh Dilmurodovich; Haydarov, Farhod Halimjonovich Positive fixed points of quadratic operators and Gibbs measures. (English) Zbl 1354.82005 Positivity 20, No. 4, 929-943 (2016). MSC: 82B05 82B20 60K35 05C05 PDF BibTeX XML Cite \textit{Y. K. Eshkabilov} et al., Positivity 20, No. 4, 929--943 (2016; Zbl 1354.82005) Full Text: DOI
Botirov, G. I. Functional equations for the Potts model with competing interactions on a Cayley tree. (English) Zbl 1352.39017 Nanosyst., Phys. Chem. Math. 7, No. 3, 401-404 (2016). MSC: 39B72 PDF BibTeX XML Cite \textit{G. I. Botirov}, Nanosyst., Phys. Chem. Math. 7, No. 3, 401--404 (2016; Zbl 1352.39017) Full Text: DOI
Bales, John W. An alternate Cayley-Dickson product. (English) Zbl 1410.17004 Missouri J. Math. Sci. 28, No. 1, 88-96 (2016). MSC: 17A60 PDF BibTeX XML Cite \textit{J. W. Bales}, Missouri J. Math. Sci. 28, No. 1, 88--96 (2016; Zbl 1410.17004) Full Text: Euclid
Broutin, Nicolas; Marckert, Jean-François A new encoding of coalescent processes: applications to the additive and multiplicative cases. (English) Zbl 1388.60035 Probab. Theory Relat. Fields 166, No. 1-2, 515-552 (2016). MSC: 60C05 60K35 60J25 60F05 68R05 PDF BibTeX XML Cite \textit{N. Broutin} and \textit{J.-F. Marckert}, Probab. Theory Relat. Fields 166, No. 1--2, 515--552 (2016; Zbl 1388.60035) Full Text: DOI arXiv
Mukhamedov, F. M.; Saburov, M. Kh.; Khakimov, O. Kh. Translation-invariant \(p\)-adic quasi-Gibbs measures for the Ising-Vannimenus model on a Cayley tree. (English. Russian original) Zbl 1342.82041 Theor. Math. Phys. 187, No. 1, 583-602 (2016); translation from Teor. Mat. Fiz. 187, No. 1, 155-176 (2016). MSC: 82B20 82B30 PDF BibTeX XML Cite \textit{F. M. Mukhamedov} et al., Theor. Math. Phys. 187, No. 1, 583--602 (2016; Zbl 1342.82041); translation from Teor. Mat. Fiz. 187, No. 1, 155--176 (2016) Full Text: DOI
Mukhamedov, Farrukh; Barhoumi, Abdessatar; Souissi, Abdessatar Phase transitions for quantum Markov chains associated with Ising type models on a Cayley tree. (English) Zbl 1348.82034 J. Stat. Phys. 163, No. 3, 544-567 (2016). Reviewer: Artem Sapozhnikov (Leipzig) MSC: 82B26 82B20 05C05 82B44 PDF BibTeX XML Cite \textit{F. Mukhamedov} et al., J. Stat. Phys. 163, No. 3, 544--567 (2016; Zbl 1348.82034) Full Text: DOI arXiv
Shi, Zhiyan; Yang, Weiguo The strong law of large numbers and the Shannon-McMillan theorem for the \(m\)th-order nonhomogeneous Markov chains indexed by an \(m\) rooted Cayley tree. (English) Zbl 1339.60024 Commun. Stat., Theory Methods 45, No. 7, 2045-2055 (2016). MSC: 60F15 60J10 PDF BibTeX XML Cite \textit{Z. Shi} and \textit{W. Yang}, Commun. Stat., Theory Methods 45, No. 7, 2045--2055 (2016; Zbl 1339.60024) Full Text: DOI
Khakimov, R. M. Gibbs measures for fertile hard-core models on the Cayley tree. (English. Russian original) Zbl 1348.82020 Theor. Math. Phys. 186, No. 2, 294-305 (2016); translation from Teor. Mat. Fiz. 186, No. 2, 340-352 (2016). Reviewer: Silvia Caprino (Roma) MSC: 82B20 28A33 05C05 PDF BibTeX XML Cite \textit{R. M. Khakimov}, Theor. Math. Phys. 186, No. 2, 294--305 (2016; Zbl 1348.82020); translation from Teor. Mat. Fiz. 186, No. 2, 340--352 (2016) Full Text: DOI
Marzouk, Cyril On the sizes of burnt and fireproof components for fires on a large Cayley tree. (English. French summary) Zbl 1336.60193 Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 1, 355-375 (2016). MSC: 60K35 60J80 PDF BibTeX XML Cite \textit{C. Marzouk}, Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 1, 355--375 (2016; Zbl 1336.60193) Full Text: DOI arXiv
Kuelske, C.; Rozikov, U. A. Extremality of translation-invariant phases for a three-state SOS-model on the binary tree. (English) Zbl 1357.82023 J. Stat. Phys. 160, No. 3, 659-680 (2015). MSC: 82B26 60K35 PDF BibTeX XML Cite \textit{C. Kuelske} and \textit{U. A. Rozikov}, J. Stat. Phys. 160, No. 3, 659--680 (2015; Zbl 1357.82023) Full Text: DOI
Rakhmatullaev, M. M.; Rasulova, M. A. Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree. (Russian, English) Zbl 1374.82009 Mat. Tr. 18, No. 2, 112-132 (2015); translation in Sib. Adv. Math. 26, No. 3, 215-229 (2016). MSC: 82B20 60K35 20G45 PDF BibTeX XML Cite \textit{M. M. Rakhmatullaev} and \textit{M. A. Rasulova}, Mat. Tr. 18, No. 2, 112--132 (2015; Zbl 1374.82009); translation in Sib. Adv. Math. 26, No. 3, 215--229 (2016) Full Text: DOI
Rahmatullaev, M. M. A weakly periodic Gibbs measure for the ferromagnetic Potts model on a Cayley tree. (English. Russian original) Zbl 1337.82003 Sib. Math. J. 56, No. 5, 929-935 (2015); translation from Sib. Mat. Zh. 56, No. 5, 1163-1170 (2015). MSC: 82B20 82D40 05C05 PDF BibTeX XML Cite \textit{M. M. Rahmatullaev}, Sib. Math. J. 56, No. 5, 929--935 (2015; Zbl 1337.82003); translation from Sib. Mat. Zh. 56, No. 5, 1163--1170 (2015) Full Text: DOI
Rakhmatullaev, M. M. New weakly periodic Gibbs measures of Ising model on Cayley tree. (English. Russian original) Zbl 1344.60097 Russ. Math. 59, No. 11, 45-53 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 11, 54-63 (2015). Reviewer: Vincent Beffara (Grenoble) MSC: 60K35 82B20 05C05 PDF BibTeX XML Cite \textit{M. M. Rakhmatullaev}, Russ. Math. 59, No. 11, 45--53 (2015; Zbl 1344.60097); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 11, 54--63 (2015) Full Text: DOI
Shi, Zhiyan; Han, Dazhao; Yang, Weiguo The strong law of large numbers and the Shannon-McMillan theorem for the two-order nonhomogeneous Markov chains indexed by a two rooted Cayley tree. (Chinese. English summary) Zbl 1340.60042 Chin. J. Appl. Probab. Stat. 31, No. 2, 125-134 (2015). MSC: 60F15 60J10 PDF BibTeX XML Cite \textit{Z. Shi} et al., Chin. J. Appl. Probab. Stat. 31, No. 2, 125--134 (2015; Zbl 1340.60042) Full Text: DOI
Mukhamedov, F. M. On the existence of phase transition for the 1D \(p\)-adic countable state Potts model. (English) Zbl 1331.82016 Math. Notes 98, No. 2, 283-288 (2015). Reviewer: Guy Jumarie (Montréal) MSC: 82B20 05C05 82B26 60J25 PDF BibTeX XML Cite \textit{F. M. Mukhamedov}, Math. Notes 98, No. 2, 283--288 (2015; Zbl 1331.82016) Full Text: DOI
Mukhamedov, Farrukh Renormalization method in \(p\)-adic \(\lambda\)-model on the Cayley tree. (English) Zbl 1334.82046 Int. J. Theor. Phys. 54, No. 10, 3577-3595 (2015). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82C28 82C26 05C05 PDF BibTeX XML Cite \textit{F. Mukhamedov}, Int. J. Theor. Phys. 54, No. 10, 3577--3595 (2015; Zbl 1334.82046) Full Text: DOI arXiv
Hatamov, N. M.; Madgoziev, G. T. Gibbs measures for a generalized Potts model with the interaction radius two on a Cayley tree. (English. Russian original) Zbl 1327.82014 Theor. Math. Phys. 183, No. 3, 836-845 (2015); translation from Teor. Mat. Fiz. 183, No. 3, 450-459 (2015). MSC: 82B20 05C05 PDF BibTeX XML Cite \textit{N. M. Hatamov} and \textit{G. T. Madgoziev}, Theor. Math. Phys. 183, No. 3, 836--845 (2015; Zbl 1327.82014); translation from Teor. Mat. Fiz. 183, No. 3, 450--459 (2015) Full Text: DOI
Khakimov, R. M. Translation-invariant Gibbs measures for fertile three-state “hard core” models on a Cayley tree. (English. Russian original) Zbl 1327.82016 Theor. Math. Phys. 183, No. 3, 829-835 (2015); translation from Teor. Mat. Fiz. 183, No. 3, 441-449 (2015). MSC: 82B20 05C05 PDF BibTeX XML Cite \textit{R. M. Khakimov}, Theor. Math. Phys. 183, No. 3, 829--835 (2015; Zbl 1327.82016); translation from Teor. Mat. Fiz. 183, No. 3, 441--449 (2015) Full Text: DOI
Rahmatullaev, M. M. Weakly periodic Gibbs measures of the Ising model with an external field on the Cayley tree. (English. Russian original) Zbl 1327.82019 Theor. Math. Phys. 183, No. 3, 822-828 (2015); translation from Teor. Mat. Fiz. 183, No. 3, 434-440 (2015). MSC: 82B20 05C05 82D40 PDF BibTeX XML Cite \textit{M. M. Rahmatullaev}, Theor. Math. Phys. 183, No. 3, 822--828 (2015; Zbl 1327.82019); translation from Teor. Mat. Fiz. 183, No. 3, 434--440 (2015) Full Text: DOI
Rozikov, U. A.; Khakimov, R. M. Gibbs measures for the fertile three-state hard-core models on a Cayley tree. (English) Zbl 1369.82010 Queueing Syst. 81, No. 1, 49-69 (2015). Reviewer: Mei Yin (Denver) MSC: 82B26 60K35 82B27 PDF BibTeX XML Cite \textit{U. A. Rozikov} and \textit{R. M. Khakimov}, Queueing Syst. 81, No. 1, 49--69 (2015; Zbl 1369.82010) Full Text: DOI
Milovanov, A. V.; Iomin, A. Topology of delocalization in the nonlinear Anderson model and anomalous diffusion on finite clusters. (English) Zbl 1320.35327 Discontin. Nonlinearity Complex. 4, No. 2, 151-162 (2015). MSC: 35Q55 35R11 PDF BibTeX XML Cite \textit{A. V. Milovanov} and \textit{A. Iomin}, Discontin. Nonlinearity Complex. 4, No. 2, 151--162 (2015; Zbl 1320.35327) Full Text: DOI
Rozikov, U. A.; Khakimov, O. N. Description of all translation-invariant \(p\)-adic Gibbs measures for the Potts model on a Cayley tree. (English) Zbl 1332.82018 Markov Process. Relat. Fields 21, No. 1, 177-204 (2015). Reviewer: Guy Jumarie (Montréal) MSC: 82B20 05C05 46S10 82B26 60K35 PDF BibTeX XML Cite \textit{U. A. Rozikov} and \textit{O. N. Khakimov}, Markov Process. Relat. Fields 21, No. 1, 177--204 (2015; Zbl 1332.82018) Full Text: arXiv
Rozikov, U. A.; Haydarov, F. H. Periodic Gibbs measures for models with uncountable set of spin values on a Cayley tree. (English) Zbl 1311.82005 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 18, No. 1, Article ID 1550006, 22 p. (2015). MSC: 82B05 82B20 60K35 PDF BibTeX XML Cite \textit{U. A. Rozikov} and \textit{F. H. Haydarov}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 18, No. 1, Article ID 1550006, 22 p. (2015; Zbl 1311.82005) Full Text: DOI arXiv
Benjamini, Itai; Lyons, Russell; Schramm, Oded Unimodular random trees. (English) Zbl 1328.05166 Ergodic Theory Dyn. Syst. 35, No. 2, 359-373 (2015). Reviewer: Dominik Kwietniak (Krakow) MSC: 05C80 05C05 05C25 05C81 60B99 60C05 PDF BibTeX XML Cite \textit{I. Benjamini} et al., Ergodic Theory Dyn. Syst. 35, No. 2, 359--373 (2015; Zbl 1328.05166) Full Text: DOI arXiv
Khakimov, O. N. On a generalized \(p\)-adic Gibbs measure for Ising model on trees. (English) Zbl 1311.82011 \(p\)-Adic Numbers Ultrametric Anal. Appl. 6, No. 3, 207-217 (2014). MSC: 82B20 05C05 82B26 PDF BibTeX XML Cite \textit{O. N. Khakimov}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 6, No. 3, 207--217 (2014; Zbl 1311.82011) Full Text: DOI
Khatamov, N. M. Nonuniqueness of a Gibbs measure for the Ising ball model. (English. Russian original) Zbl 1308.82012 Theor. Math. Phys. 180, No. 3, 1030-1039 (2014); translation from Teor. Mat. Fiz. 180, No. 3, 318-328 (2014). MSC: 82B20 PDF BibTeX XML Cite \textit{N. M. Khatamov}, Theor. Math. Phys. 180, No. 3, 1030--1039 (2014; Zbl 1308.82012); translation from Teor. Mat. Fiz. 180, No. 3, 318--328 (2014) Full Text: DOI
Rahmatullaev, M. M. The existence of weakly periodic Gibbs measures for the Potts model on a Cayley tree. (English. Russian original) Zbl 1308.82014 Theor. Math. Phys. 180, No. 3, 1019-1029 (2014); translation from Teor. Mat. Fiz. 180, No. 3, 307-317 (2014). MSC: 82B20 PDF BibTeX XML Cite \textit{M. M. Rahmatullaev}, Theor. Math. Phys. 180, No. 3, 1019--1029 (2014; Zbl 1308.82014); translation from Teor. Mat. Fiz. 180, No. 3, 307--317 (2014) Full Text: DOI