Xiang, Xuyan; Fu, Haiqin; Zhou, Jieming; Deng, Yingchun; Yang, Xiangqun Taboo rate and hitting time distribution of continuous-time reversible Markov chains. (English) Zbl 1455.60103 Stat. Probab. Lett. 169, Article ID 108969, 9 p. (2021). MSC: 60J27 PDF BibTeX XML Cite \textit{X. Xiang} et al., Stat. Probab. Lett. 169, Article ID 108969, 9 p. (2021; Zbl 1455.60103) Full Text: DOI
Vialaret, Marie; Maire, Florian On the convergence time of some non-reversible Markov chain Monte Carlo methods. (English) Zbl 07297560 Methodol. Comput. Appl. Probab. 22, No. 3, 1349-1387 (2020). MSC: 60J22 60J10 60J20 65C05 PDF BibTeX XML Cite \textit{M. Vialaret} and \textit{F. Maire}, Methodol. Comput. Appl. Probab. 22, No. 3, 1349--1387 (2020; Zbl 07297560) Full Text: DOI
Monmarché, Pierre Kinetic walks for sampling. (English) Zbl 1451.60082 ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 1, 491-530 (2020). MSC: 60J10 65C40 PDF BibTeX XML Cite \textit{P. Monmarché}, ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 1, 491--530 (2020; Zbl 1451.60082) Full Text: Link
Mena, Ramsés H.; Palma, Freddy Continuous-time Markov processes, orthogonal polynomials and Lancaster probabilities. (English) Zbl 1434.60196 ESAIM, Probab. Stat. 24, 100-112 (2020). MSC: 60J25 60J35 33C45 PDF BibTeX XML Cite \textit{R. H. Mena} and \textit{F. Palma}, ESAIM, Probab. Stat. 24, 100--112 (2020; Zbl 1434.60196) Full Text: DOI
Payne, R. D.; Guha, N.; Ding, Y.; Mallick, B. K. A conditional density estimation partition model using logistic Gaussian processes. (English) Zbl 1435.62290 Biometrika 107, No. 1, 173-190 (2020). MSC: 62J12 60G15 62G07 62P30 PDF BibTeX XML Cite \textit{R. D. Payne} et al., Biometrika 107, No. 1, 173--190 (2020; Zbl 1435.62290) Full Text: DOI
Choi, Michael C. H. Metropolis-Hastings reversiblizations of non-reversible Markov chains. (English) Zbl 1436.60070 Stochastic Processes Appl. 130, No. 2, 1041-1073 (2020). MSC: 60J05 60J10 60J20 37A25 37A30 PDF BibTeX XML Cite \textit{M. C. H. Choi}, Stochastic Processes Appl. 130, No. 2, 1041--1073 (2020; Zbl 1436.60070) Full Text: DOI
Khadraoui, Khader; Ribereau, Pierre Bayesian inference with \(M\)-splines on spectral measure of bivariate extremes. (English) Zbl 1434.62073 Methodol. Comput. Appl. Probab. 21, No. 3, 765-788 (2019). MSC: 62G32 62G05 60J22 65D07 62M15 62H12 PDF BibTeX XML Cite \textit{K. Khadraoui} and \textit{P. Ribereau}, Methodol. Comput. Appl. Probab. 21, No. 3, 765--788 (2019; Zbl 1434.62073) Full Text: DOI
Heck, Daniel W.; Overstall, Antony M.; Gronau, Quentin F.; Wagenmakers, Eric-Jan Quantifying uncertainty in transdimensional Markov chain Monte Carlo using discrete Markov models. (English) Zbl 1430.62056 Stat. Comput. 29, No. 4, 631-643 (2019). MSC: 62F15 60J10 65C40 PDF BibTeX XML Cite \textit{D. W. Heck} et al., Stat. Comput. 29, No. 4, 631--643 (2019; Zbl 1430.62056) Full Text: DOI
Luo, Xin; Tjelmeland, Håkon Prior specification for binary Markov mesh models. (English) Zbl 1430.62185 Stat. Comput. 29, No. 2, 367-389 (2019). MSC: 62M02 65C05 PDF BibTeX XML Cite \textit{X. Luo} and \textit{H. Tjelmeland}, Stat. Comput. 29, No. 2, 367--389 (2019; Zbl 1430.62185) Full Text: DOI
Jafarizadeh, Saber Fastest mixing reversible Markov chain on friendship graph: trade-off between transition probabilities among friends and convergence rate. (English) Zbl 1426.91190 Syst. Control Lett. 130, 13-22 (2019). MSC: 91D30 90C22 60J20 05C90 PDF BibTeX XML Cite \textit{S. Jafarizadeh}, Syst. Control Lett. 130, 13--22 (2019; Zbl 1426.91190) Full Text: DOI
Li, Zeda; Krafty, Robert T. Adaptive Bayesian time-frequency analysis of multivariate time series. (English) Zbl 07095890 J. Am. Stat. Assoc. 114, No. 525, 453-465 (2019). MSC: 62M10 62F15 62M15 PDF BibTeX XML Cite \textit{Z. Li} and \textit{R. T. Krafty}, J. Am. Stat. Assoc. 114, No. 525, 453--465 (2019; Zbl 07095890) Full Text: DOI
Chen, Yuxin; Fan, Jianqing; Ma, Cong; Wang, Kaizheng Spectral method and regularized MLE are both optimal for top-\(K\) ranking. (English) Zbl 1425.62038 Ann. Stat. 47, No. 4, 2204-2235 (2019). Reviewer: Marius Iosifescu (Bucureşti) MSC: 62F07 62B10 62M15 PDF BibTeX XML Cite \textit{Y. Chen} et al., Ann. Stat. 47, No. 4, 2204--2235 (2019; Zbl 1425.62038) Full Text: DOI Euclid arXiv
Bruce, Scott A.; Hall, Martica H.; Buysse, Daniel J.; Krafty, Robert T. Conditional adaptive Bayesian spectral analysis of nonstationary biomedical time series. (English) Zbl 1415.62086 Biometrics 74, No. 1, 260-269 (2018). MSC: 62P10 62M10 62M15 PDF BibTeX XML Cite \textit{S. A. Bruce} et al., Biometrics 74, No. 1, 260--269 (2018; Zbl 1415.62086) Full Text: DOI
Fackeldey, K.; Sikorski, A.; Weber, M. Spectral clustering for non-reversible Markov chains. (English) Zbl 1413.62082 Comput. Appl. Math. 37, No. 5, 6376-6391 (2018). MSC: 62H30 60J10 62M15 PDF BibTeX XML Cite \textit{K. Fackeldey} et al., Comput. Appl. Math. 37, No. 5, 6376--6391 (2018; Zbl 1413.62082) Full Text: DOI
Jorgensen, Palle; Tian, Feng Infinite weighted graphs with bounded resistance metric. (English) Zbl 1401.05200 Math. Scand. 123, No. 1, 5-38 (2018). MSC: 05C63 05C22 05C12 60J10 PDF BibTeX XML Cite \textit{P. Jorgensen} and \textit{F. Tian}, Math. Scand. 123, No. 1, 5--38 (2018; Zbl 1401.05200) Full Text: DOI arXiv
Brown, Mark; Li, Shuangning Sharp bounds for exponential approximations of NWUE distributions. (English) Zbl 1402.60024 Methodol. Comput. Appl. Probab. 20, No. 3, 875-896 (2018). MSC: 60E15 60J27 60K10 60K25 90B25 PDF BibTeX XML Cite \textit{M. Brown} and \textit{S. Li}, Methodol. Comput. Appl. Probab. 20, No. 3, 875--896 (2018; Zbl 1402.60024) Full Text: DOI
Liu, Yuan Multiple ergodicity for reversible Markov chains. (English) Zbl 1402.60087 Acta Math. Appl. Sin., Engl. Ser. 34, No. 4, 863-868 (2018). MSC: 60J05 37A30 PDF BibTeX XML Cite \textit{Y. Liu}, Acta Math. Appl. Sin., Engl. Ser. 34, No. 4, 863--868 (2018; Zbl 1402.60087) Full Text: DOI
Huang, Lu-Jing; Mao, Yong-Hua Variational principles of hitting times for non-reversible Markov chains. (English) Zbl 1414.60067 J. Math. Anal. Appl. 468, No. 2, 959-975 (2018). MSC: 60J27 44A10 PDF BibTeX XML Cite \textit{L.-J. Huang} and \textit{Y.-H. Mao}, J. Math. Anal. Appl. 468, No. 2, 959--975 (2018; Zbl 1414.60067) Full Text: DOI
David, Roee; Feige, Uriel Random walks with the minimum degree local rule have \(O(n^2)\) cover time. (English) Zbl 1391.05233 SIAM J. Comput. 47, No. 3, 755-768 (2018). MSC: 05C81 60J10 05C22 05C05 PDF BibTeX XML Cite \textit{R. David} and \textit{U. Feige}, SIAM J. Comput. 47, No. 3, 755--768 (2018; Zbl 1391.05233) Full Text: DOI
Hermon, Jonathan; Peres, Yuval On sensitivity of mixing times and cutoff. (English) Zbl 1387.60112 Electron. J. Probab. 23, Paper No. 25, 34 p. (2018). MSC: 60J10 60G50 PDF BibTeX XML Cite \textit{J. Hermon} and \textit{Y. Peres}, Electron. J. Probab. 23, Paper No. 25, 34 p. (2018; Zbl 1387.60112) Full Text: DOI Euclid arXiv
Hermon, Jonathan; Peres, Yuval A characterization of \(L_{2}\) mixing and hypercontractivity via hitting times and maximal inequalities. (English) Zbl 1403.60067 Probab. Theory Relat. Fields 170, No. 3-4, 769-800 (2018). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60J27 60J10 05C81 PDF BibTeX XML Cite \textit{J. Hermon} and \textit{Y. Peres}, Probab. Theory Relat. Fields 170, No. 3--4, 769--800 (2018; Zbl 1403.60067) Full Text: DOI arXiv
Georgakopoulos, Agelos; Tyros, Konstantinos The Bradley-Terry condition is \(L_1\)-testable. (English) Zbl 1380.05086 Discrete Math. 341, No. 4, 1171-1177 (2018). MSC: 05C20 05C80 60J10 PDF BibTeX XML Cite \textit{A. Georgakopoulos} and \textit{K. Tyros}, Discrete Math. 341, No. 4, 1171--1177 (2018; Zbl 1380.05086) Full Text: DOI arXiv
Hermon, Jonathan A technical report on hitting times, mixing and cutoff. (English) Zbl 1388.60137 ALEA, Lat. Am. J. Probab. Math. Stat. 15, No. 1, 101-120 (2018). MSC: 60J27 60J10 PDF BibTeX XML Cite \textit{J. Hermon}, ALEA, Lat. Am. J. Probab. Math. Stat. 15, No. 1, 101--120 (2018; Zbl 1388.60137) Full Text: Link arXiv
Hermon, Jonathan; Peres, Yuval The power of averaging at two consecutive time steps: proof of a mixing conjecture by Aldous and Fill. (English. French summary) Zbl 1382.60095 Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 4, 2030-2042 (2017). MSC: 60J10 PDF BibTeX XML Cite \textit{J. Hermon} and \textit{Y. Peres}, Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 4, 2030--2042 (2017; Zbl 1382.60095) Full Text: DOI Euclid arXiv
Prosen, Tomaž; Buča, Berislav Exact matrix product decay modes of a boundary driven cellular automaton. (English) Zbl 1377.82034 J. Phys. A, Math. Theor. 50, No. 39, Article ID 395002, 25 p. (2017). MSC: 82C31 82C23 82C35 37B15 60J10 68Q80 PDF BibTeX XML Cite \textit{T. Prosen} and \textit{B. Buča}, J. Phys. A, Math. Theor. 50, No. 39, Article ID 395002, 25 p. (2017; Zbl 1377.82034) Full Text: DOI
Kong, Shi-Lei; Lau, Ka-Sing; Wong, Ting-Kam Leonard Random walks and induced Dirichlet forms on self-similar sets. (English) Zbl 1379.28009 Adv. Math. 320, 1099-1134 (2017). Reviewer: René L. Schilling (Dresden) MSC: 28A80 60J10 60J50 PDF BibTeX XML Cite \textit{S.-L. Kong} et al., Adv. Math. 320, 1099--1134 (2017; Zbl 1379.28009) Full Text: DOI
Mittnenzweig, Markus; Mielke, Alexander An entropic gradient structure for Lindblad equations and couplings of quantum systems to macroscopic models. (English) Zbl 1376.82046 J. Stat. Phys. 167, No. 2, 205-233 (2017). MSC: 82C10 60K35 35Q82 47D07 PDF BibTeX XML Cite \textit{M. Mittnenzweig} and \textit{A. Mielke}, J. Stat. Phys. 167, No. 2, 205--233 (2017; Zbl 1376.82046) Full Text: DOI
Longla, Martial Remarks on limit theorems for reversible Markov processes and their applications. (English) Zbl 1371.60054 J. Stat. Plann. Inference 187, 28-43 (2017). MSC: 60F05 60G10 60F17 60G05 PDF BibTeX XML Cite \textit{M. Longla}, J. Stat. Plann. Inference 187, 28--43 (2017; Zbl 1371.60054) Full Text: DOI
Basu, Riddhipratim; Hermon, Jonathan; Peres, Yuval Characterization of cutoff for reversible Markov chains. (English) Zbl 1374.60129 Ann. Probab. 45, No. 3, 1448-1487 (2017). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60J10 PDF BibTeX XML Cite \textit{R. Basu} et al., Ann. Probab. 45, No. 3, 1448--1487 (2017; Zbl 1374.60129) Full Text: DOI
Miclo, Laurent On the hypergroup property. (English. French summary) Zbl 1369.60050 Ann. Fac. Sci. Toulouse, Math. (6) 26, No. 2, 417-435 (2017). MSC: 60J05 60J10 60J80 20N20 65F15 PDF BibTeX XML Cite \textit{L. Miclo}, Ann. Fac. Sci. Toulouse, Math. (6) 26, No. 2, 417--435 (2017; Zbl 1369.60050) Full Text: DOI
Peres, Yuval; Sauerwald, Thomas; Sousi, Perla; Stauffer, Alexandre Intersection and mixing times for reversible chains. (English) Zbl 1357.60076 Electron. J. Probab. 22, Paper No. 12, 16 p. (2017). MSC: 60J10 60G50 60G42 PDF BibTeX XML Cite \textit{Y. Peres} et al., Electron. J. Probab. 22, Paper No. 12, 16 p. (2017; Zbl 1357.60076) Full Text: DOI Euclid arXiv
Seneta, Eugene Markov chains as models in statistical mechanics. (English) Zbl 1442.62764 Stat. Sci. 31, No. 3, 399-414 (2016). MSC: 62P35 62M05 82-10 PDF BibTeX XML Cite \textit{E. Seneta}, Stat. Sci. 31, No. 3, 399--414 (2016; Zbl 1442.62764) Full Text: DOI Euclid
Landim, C.; Seo, I. Metastability of non-reversible, mean-field Potts model with three spins. (English) Zbl 1360.82055 J. Stat. Phys. 165, No. 4, 693-726 (2016). MSC: 82C20 82C41 60J27 PDF BibTeX XML Cite \textit{C. Landim} and \textit{I. Seo}, J. Stat. Phys. 165, No. 4, 693--726 (2016; Zbl 1360.82055) Full Text: DOI arXiv
den Hollander, F.; Jansen, S. Berman-Konsowa principle for reversible Markov jump processes. (English) Zbl 1356.60128 Markov Process. Relat. Fields 22, No. 3, 409-422 (2016). MSC: 60J75 60J25 60J05 60J45 60K35 PDF BibTeX XML Cite \textit{F. den Hollander} and \textit{S. Jansen}, Markov Process. Relat. Fields 22, No. 3, 409--422 (2016; Zbl 1356.60128) Full Text: arXiv
Bierkens, Joris Non-reversible Metropolis-Hastings. (English) Zbl 1360.65040 Stat. Comput. 26, No. 6, 1213-1228 (2016). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 65C40 60J20 60J22 65C50 65C60 65C05 60F10 62F15 82C80 PDF BibTeX XML Cite \textit{J. Bierkens}, Stat. Comput. 26, No. 6, 1213--1228 (2016; Zbl 1360.65040) Full Text: DOI arXiv
Collet, Francesca; Ruszel, Wioletta Synchronization and spin-flop transitions for a mean-field XY model in random field. (English) Zbl 1348.82032 J. Stat. Phys. 164, No. 3, 645-666 (2016). MSC: 82B26 82D40 82B44 PDF BibTeX XML Cite \textit{F. Collet} and \textit{W. Ruszel}, J. Stat. Phys. 164, No. 3, 645--666 (2016; Zbl 1348.82032) Full Text: DOI arXiv
Betz, Volker; Le Roux, Stéphane Multi-scale metastable dynamics and the asymptotic stationary distribution of perturbed Markov chains. (English) Zbl 1348.60107 Stochastic Processes Appl. 126, No. 11, 3499-3526 (2016). MSC: 60J10 60F05 60J22 65C40 PDF BibTeX XML Cite \textit{V. Betz} and \textit{S. Le Roux}, Stochastic Processes Appl. 126, No. 11, 3499--3526 (2016; Zbl 1348.60107) Full Text: DOI arXiv
Landim, C.; Lemire, P. Metastability of the two-dimensional Blume-Capel model with zero chemical potential and small magnetic field. (English) Zbl 1355.60100 J. Stat. Phys. 164, No. 2, 346-376 (2016). Reviewer: Piotr Garbaczewski (Opole) MSC: 60J10 82C44 60J45 82C27 60J35 PDF BibTeX XML Cite \textit{C. Landim} and \textit{P. Lemire}, J. Stat. Phys. 164, No. 2, 346--376 (2016; Zbl 1355.60100) Full Text: DOI arXiv
Nielsen, Adam The Monte Carlo computation error of transition probabilities. (English) Zbl 1353.60070 Stat. Probab. Lett. 118, 163-170 (2016). MSC: 60J22 60J10 65C05 PDF BibTeX XML Cite \textit{A. Nielsen}, Stat. Probab. Lett. 118, 163--170 (2016; Zbl 1353.60070) Full Text: DOI
Schrempf, Dominik; Minh, Bui Quang; De Maio, Nicola; von Haeseler, Arndt; Kosiol, Carolin Reversible polymorphism-aware phylogenetic models and their application to tree inference. (English) Zbl 1344.92117 J. Theor. Biol. 407, 362-370 (2016). MSC: 92D15 92D10 60J20 PDF BibTeX XML Cite \textit{D. Schrempf} et al., J. Theor. Biol. 407, 362--370 (2016; Zbl 1344.92117) Full Text: DOI
Peligrad, Magda; Utev, Sergey On the invariance principle for reversible Markov chains. (English) Zbl 1344.60034 J. Appl. Probab. 53, No. 2, 593-599 (2016). MSC: 60F17 60F05 60J05 PDF BibTeX XML Cite \textit{M. Peligrad} and \textit{S. Utev}, J. Appl. Probab. 53, No. 2, 593--599 (2016; Zbl 1344.60034) Full Text: DOI Euclid
Prosen, Tomaž; Mejía-Monasterio, Carlos Integrability of a deterministic cellular automaton driven by stochastic boundaries. (English) Zbl 1365.37014 J. Phys. A, Math. Theor. 49, No. 18, Article ID 185003, 22 p. (2016). Reviewer: Thomas B. Ward (Leeds) MSC: 37B15 60J20 60K35 37A25 37K10 PDF BibTeX XML Cite \textit{T. Prosen} and \textit{C. Mejía-Monasterio}, J. Phys. A, Math. Theor. 49, No. 18, Article ID 185003, 22 p. (2016; Zbl 1365.37014) Full Text: DOI arXiv
Feneuil, Joseph Hardy and BMO spaces on graphs, application to Riesz transform. (English) Zbl 1342.42021 Potential Anal. 45, No. 1, 1-54 (2016). MSC: 42B30 42B35 42B20 60G50 60J10 43A85 05C81 PDF BibTeX XML Cite \textit{J. Feneuil}, Potential Anal. 45, No. 1, 1--54 (2016; Zbl 1342.42021) Full Text: DOI arXiv
Jia, Chen A solution to the reversible embedding problem for finite Markov chains. (English) Zbl 1342.60124 Stat. Probab. Lett. 116, 122-130 (2016). MSC: 60J10 PDF BibTeX XML Cite \textit{C. Jia}, Stat. Probab. Lett. 116, 122--130 (2016; Zbl 1342.60124) Full Text: DOI
Bui, The Anh; Duong, Xuan Thinh Weighted norm inequalities for spectral multipliers on graphs. (English) Zbl 1348.42012 Potential Anal. 44, No. 2, 263-293 (2016). MSC: 42B15 60J10 PDF BibTeX XML Cite \textit{T. A. Bui} and \textit{X. T. Duong}, Potential Anal. 44, No. 2, 263--293 (2016; Zbl 1348.42012) Full Text: DOI
Chumley, Timothy; Feres, Renato; Zhang, Hong-Kun Diffusivity in multiple scattering systems. (English) Zbl 1332.60134 Trans. Am. Math. Soc. 368, No. 1, 109-148 (2016). Reviewer: Weiping Li (Stillwater) MSC: 60K35 60F05 60F17 60J65 60J60 82B40 PDF BibTeX XML Cite \textit{T. Chumley} et al., Trans. Am. Math. Soc. 368, No. 1, 109--148 (2016; Zbl 1332.60134) Full Text: DOI arXiv
Bradley, Richard C. On mixing properties of reversible Markov chains. (English) Zbl 1333.60157 N. Z. J. Math. 45, 71-87 (2015). MSC: 60J05 60J10 60G10 PDF BibTeX XML Cite \textit{R. C. Bradley}, N. Z. J. Math. 45, 71--87 (2015; Zbl 1333.60157) Full Text: Link arXiv
Arnesen, Petter; Tjelmeland, Håkon Fully Bayesian binary Markov random field models: prior specification and posterior simulation. (English) Zbl 1419.62270 Scand. J. Stat. 42, No. 4, 967-987 (2015). MSC: 62M40 62F15 62H10 60J10 62P35 65C05 60G60 PDF BibTeX XML Cite \textit{P. Arnesen} and \textit{H. Tjelmeland}, Scand. J. Stat. 42, No. 4, 967--987 (2015; Zbl 1419.62270) Full Text: DOI
Lebeau, Gilles; Michel, Laurent Spectral analysis of hypoelliptic random walks. (English) Zbl 1326.58021 J. Inst. Math. Jussieu 14, No. 3, 451-491 (2015). Reviewer: Vassilis G. Papanicolaou (Athena) MSC: 58J65 60J10 58J50 60G50 35H10 35P15 PDF BibTeX XML Cite \textit{G. Lebeau} and \textit{L. Michel}, J. Inst. Math. Jussieu 14, No. 3, 451--491 (2015; Zbl 1326.58021) Full Text: DOI arXiv
Dupuis, Paul; Liu, Yufei On the large deviation rate function for the empirical measures of reversible jump Markov processes. (English) Zbl 1325.60023 Ann. Probab. 43, No. 3, 1121-1156 (2015). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60F10 60J75 60E10 PDF BibTeX XML Cite \textit{P. Dupuis} and \textit{Y. Liu}, Ann. Probab. 43, No. 3, 1121--1156 (2015; Zbl 1325.60023) Full Text: DOI Euclid arXiv
Abe, Yoshihiro Cover times for sequences of reversible Markov chains on random graphs. (English) Zbl 1338.60181 Kyoto J. Math. 54, No. 3, 555-576 (2014). Reviewer: Alexander I. Zejfman (Vologda) MSC: 60J10 05C80 60J80 PDF BibTeX XML Cite \textit{Y. Abe}, Kyoto J. Math. 54, No. 3, 555--576 (2014; Zbl 1338.60181) Full Text: DOI Euclid arXiv
Lam, Hoang-Chuong A quenched central limit theorem for reversible random walks in a random environment on \(\mathbb{Z}\). (English) Zbl 1408.60021 J. Appl. Probab. 51, No. 4, 1051-1064 (2014). MSC: 60F05 60G50 60K37 60J27 60J60 PDF BibTeX XML Cite \textit{H.-C. Lam}, J. Appl. Probab. 51, No. 4, 1051--1064 (2014; Zbl 1408.60021) Full Text: DOI Euclid
Longla, Martial On dependence structure of copula-based Markov chains. (English) Zbl 1308.60087 ESAIM, Probab. Stat. 18, 570-583 (2014). MSC: 60J05 60J20 60J35 37A30 PDF BibTeX XML Cite \textit{M. Longla}, ESAIM, Probab. Stat. 18, 570--583 (2014; Zbl 1308.60087) Full Text: DOI arXiv
Collet, Francesca Macroscopic limit of a bipartite Curie-Weiss model: a dynamical approach. (English) Zbl 1310.82020 J. Stat. Phys. 157, No. 6, 1301-1319 (2014). MSC: 82B26 82C22 60F10 82C31 35Q83 82D40 PDF BibTeX XML Cite \textit{F. Collet}, J. Stat. Phys. 157, No. 6, 1301--1319 (2014; Zbl 1310.82020) Full Text: DOI arXiv
Bui, The Anh Weighted Hardy spaces associated to discrete Laplacians on graphs and applications. (English) Zbl 1308.42020 Potential Anal. 41, No. 3, 817-848 (2014). Reviewer: Yilun Shang (Shanghai) MSC: 42B30 42B35 42B20 42B25 42B10 42B15 60J10 PDF BibTeX XML Cite \textit{T. A. Bui}, Potential Anal. 41, No. 3, 817--848 (2014; Zbl 1308.42020) Full Text: DOI
Gamado, Kokouvi M.; Streftaris, George; Zachary, Stan Modelling under-reporting in epidemics. (English) Zbl 1302.92128 J. Math. Biol. 69, No. 3, 737-765 (2014). MSC: 92D30 62F15 60J28 PDF BibTeX XML Cite \textit{K. M. Gamado} et al., J. Math. Biol. 69, No. 3, 737--765 (2014; Zbl 1302.92128) Full Text: DOI
Montenegro, Ravi Intersection conductance and canonical alternating paths: methods for general finite Markov chains. (English) Zbl 1315.60085 Comb. Probab. Comput. 23, No. 4, 585-606 (2014). Reviewer: Stavros Vakeroudis (Nikosia) MSC: 60J10 PDF BibTeX XML Cite \textit{R. Montenegro}, Comb. Probab. Comput. 23, No. 4, 585--606 (2014; Zbl 1315.60085) Full Text: DOI arXiv
Landim, C. Metastability for a non-reversible dynamics: the evolution of the condensate in totally asymmetric zero range processes. (English) Zbl 1305.82045 Commun. Math. Phys. 330, No. 1, 1-32 (2014). Reviewer: Guy Jumarie (Montréal) MSC: 82C26 60J25 60K35 82C22 PDF BibTeX XML Cite \textit{C. Landim}, Commun. Math. Phys. 330, No. 1, 1--32 (2014; Zbl 1305.82045) Full Text: DOI arXiv
Vuillermot, Pierre A.; Zambrini, Jean C. Bernstein diffusions for a class of linear parabolic partial differential equations. (English) Zbl 1293.35135 J. Theor. Probab. 27, No. 2, 449-492 (2014). MSC: 35K20 60H30 60K99 PDF BibTeX XML Cite \textit{P. A. Vuillermot} and \textit{J. C. Zambrini}, J. Theor. Probab. 27, No. 2, 449--492 (2014; Zbl 1293.35135) Full Text: DOI arXiv
Gaudillière, A.; Landim, C. A Dirichlet principle for non reversible Markov chains and some recurrence theorems. (English) Zbl 1295.60087 Probab. Theory Relat. Fields 158, No. 1-2, 55-89 (2014). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60J27 31B15 PDF BibTeX XML Cite \textit{A. Gaudillière} and \textit{C. Landim}, Probab. Theory Relat. Fields 158, No. 1--2, 55--89 (2014; Zbl 1295.60087) Full Text: DOI
Stroock, Daniel W. An introduction to Markov processes. 2nd corrected and enlarged ed. (English) Zbl 1295.60002 Graduate Texts in Mathematics 230. Berlin: Springer (ISBN 978-3-642-40522-8/hbk; 978-3-642-40523-5/ebook). xvii, 203 p. (2014). Reviewer: Mathias Trabs (Berlin) MSC: 60-01 60J05 60J25 37A30 PDF BibTeX XML Cite \textit{D. W. Stroock}, An introduction to Markov processes. 2nd corrected and enlarged ed. Berlin: Springer (2014; Zbl 1295.60002) Full Text: DOI
Broom, Mark; Cannings, Chris A dynamic network population model with strategic link formation governed by individual preferences. (English) Zbl 1397.92561 J. Theor. Biol. 335, 160-168 (2013). MSC: 92D25 92D15 60J20 PDF BibTeX XML Cite \textit{M. Broom} and \textit{C. Cannings}, J. Theor. Biol. 335, 160--168 (2013; Zbl 1397.92561) Full Text: DOI
Song, Changhong; Kuo, Lynn Dynamic frailty and change point models for recurrent events data. (English) Zbl 1307.62202 J. Iran. Stat. Soc. JIRSS 12, No. 1, 127-151 (2013). MSC: 62M05 62P10 PDF BibTeX XML Cite \textit{C. Song} and \textit{L. Kuo}, J. Iran. Stat. Soc. JIRSS 12, No. 1, 127--151 (2013; Zbl 1307.62202)
Tifenbach, Ryan M. A combinatorial approach to nearly uncoupled Markov chains. I: Reversible Markov chains. (English) Zbl 1288.65011 ETNA, Electron. Trans. Numer. Anal. 40, 120-147 (2013). MSC: 65C40 60J22 60J10 15B51 PDF BibTeX XML Cite \textit{R. M. Tifenbach}, ETNA, Electron. Trans. Numer. Anal. 40, 120--147 (2013; Zbl 1288.65011) Full Text: EMIS
Benois, O.; Landim, C.; Mourragui, M. Hitting times of rare events in Markov chains. (English) Zbl 1285.82033 J. Stat. Phys. 153, No. 6, 967-990 (2013). MSC: 82C22 60J25 PDF BibTeX XML Cite \textit{O. Benois} et al., J. Stat. Phys. 153, No. 6, 967--990 (2013; Zbl 1285.82033) Full Text: DOI
Longla, Martial Remarks on the speed of convergence of mixing coefficients and applications. (English) Zbl 1308.60086 Stat. Probab. Lett. 83, No. 10, 2439-2445 (2013). Reviewer: Nelson I. Tanaka (São Paulo) MSC: 60J05 60J20 60J35 37A30 PDF BibTeX XML Cite \textit{M. Longla}, Stat. Probab. Lett. 83, No. 10, 2439--2445 (2013; Zbl 1308.60086) Full Text: DOI arXiv
Joulin, Aldéric; Guillin, Arnaud Measure concentration through non-Lipschitz observables and functional inequalities. (English) Zbl 1282.60024 Electron. J. Probab. 18, Paper No. 65, 26 p. (2013). MSC: 60E15 60J27 60J60 60K35 PDF BibTeX XML Cite \textit{A. Joulin} and \textit{A. Guillin}, Electron. J. Probab. 18, Paper No. 65, 26 p. (2013; Zbl 1282.60024) Full Text: DOI
Shkolnikov, Mykhaylo Some universal estimates for reversible Markov chains. (English) Zbl 1408.60062 Electron. J. Probab. 18, Paper No. 11, 17 p. (2013). MSC: 60J10 94A17 PDF BibTeX XML Cite \textit{M. Shkolnikov}, Electron. J. Probab. 18, Paper No. 11, 17 p. (2013; Zbl 1408.60062) Full Text: DOI arXiv
He, Yangbo; Jia, Jinzhu; Yu, Bin Reversible MCMC on Markov equivalence classes of sparse directed acyclic graphs. (English) Zbl 1360.62369 Ann. Stat. 41, No. 4, 1742-1779 (2013). MSC: 62H99 62H05 60J10 05C81 PDF BibTeX XML Cite \textit{Y. He} et al., Ann. Stat. 41, No. 4, 1742--1779 (2013; Zbl 1360.62369) Full Text: DOI Euclid arXiv
Grzegorczyk, Marco; Husmeier, Dirk Regularization of non-homogeneous dynamic Bayesian networks with global information-coupling based on hierarchical Bayesian models. (English) Zbl 1273.68378 Mach. Learn. 91, No. 1, 105-154 (2013). MSC: 68T30 68T05 92C42 PDF BibTeX XML Cite \textit{M. Grzegorczyk} and \textit{D. Husmeier}, Mach. Learn. 91, No. 1, 105--154 (2013; Zbl 1273.68378) Full Text: DOI
Peligrad, Magda Asymptotic properties for linear processes of functionals of reversible or normal Markov chains. (English) Zbl 1271.60039 Houdré, Christian (ed.) et al., High dimensional probability VI. The Banff volume. Proceedings of the sixth high dimensional probability conference (HDP VI), Banff, Canada, October 9–14, 2011. Basel: Birkhäuser (ISBN 978-3-0348-0489-9/hbk; 978-3-0348-0490-5/ebook). Progress in Probability 66, 195-210 (2013). MSC: 60F05 60G10 60F17 60G05 PDF BibTeX XML Cite \textit{M. Peligrad}, Prog. Probab. 66, 195--210 (2013; Zbl 1271.60039) Full Text: DOI arXiv
Cogill, Randy; Peng, Cheng Reversible Markov decision processes with an average-reward criterion. (English) Zbl 1282.90227 SIAM J. Control Optim. 51, No. 1, 402-418 (2013). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 90C40 PDF BibTeX XML Cite \textit{R. Cogill} and \textit{C. Peng}, SIAM J. Control Optim. 51, No. 1, 402--418 (2013; Zbl 1282.90227) Full Text: DOI
Dondelinger, Frank; Lèbre, Sophie; Husmeier, Dirk Non-homogeneous dynamic Bayesian networks with Bayesian regularization for inferring gene regulatory networks with gradually time-varying structure. (English) Zbl 1260.92027 Mach. Learn. 90, No. 2, 191-230 (2013). MSC: 92C42 62F15 62M10 62P10 PDF BibTeX XML Cite \textit{F. Dondelinger} et al., Mach. Learn. 90, No. 2, 191--230 (2013; Zbl 1260.92027) Full Text: DOI
Pistone, Giovanni; Rogantin, Maria Piera The algebra of reversible Markov chains. (English) Zbl 1440.62395 Ann. Inst. Stat. Math. 65, No. 2, 269-293 (2013). MSC: 62R01 60J10 13P10 62-08 65C05 PDF BibTeX XML Cite \textit{G. Pistone} and \textit{M. P. Rogantin}, Ann. Inst. Stat. Math. 65, No. 2, 269--293 (2013; Zbl 1440.62395) Full Text: DOI arXiv
Ullah, Ghanim; Bruno, William J.; Pearson, John E. Simplification of reversible Markov chains by removal of states with low equilibrium occupancy. (English) Zbl 1337.60175 J. Theor. Biol. 311, 117-129 (2012). MSC: 60J20 92C45 92B05 PDF BibTeX XML Cite \textit{G. Ullah} et al., J. Theor. Biol. 311, 117--129 (2012; Zbl 1337.60175) Full Text: DOI
Grzegorczyk, Marco; Husmeier, Dirk A non-homogeneous dynamic Bayesian network with sequentially coupled interaction parameters for applications in systems and synthetic biology. (English) Zbl 1296.92039 Stat. Appl. Genet. Mol. Biol. 11, No. 4, Article No. 7, 60 p. (2012). MSC: 92B15 PDF BibTeX XML Cite \textit{M. Grzegorczyk} and \textit{D. Husmeier}, Stat. Appl. Genet. Mol. Biol. 11, No. 4, Article No. 7, 60 p. (2012; Zbl 1296.92039) Full Text: DOI
Winkler, Andrea Metabasins or a state space aggregation for finite Markov chains with exponentially small transition probabilities. (English) Zbl 1271.82001 Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.). viii, 134 p. (2012). MSC: 82-02 60-02 60J10 82C44 PDF BibTeX XML Cite \textit{A. Winkler}, Metabasins or a state space aggregation for finite Markov chains with exponentially small transition probabilities. Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.) (2012; Zbl 1271.82001) Full Text: Link
Rosen, Ori; Wood, Sally; Stoffer, David S. AdaptSPEC: Adaptive spectral estimation for nonstationary time series. (English) Zbl 1258.62093 J. Am. Stat. Assoc. 107, No. 500, 1575-1589 (2012). MSC: 62M15 62M10 62F15 62G05 92C55 62P12 65C60 PDF BibTeX XML Cite \textit{O. Rosen} et al., J. Am. Stat. Assoc. 107, No. 500, 1575--1589 (2012; Zbl 1258.62093) Full Text: DOI
Longla, Martial; Peligrad, Costel; Peligrad, Magda On the functional central limit theorem for reversible Markov chains with nonlinear growth of the variance. (English) Zbl 1269.60041 J. Appl. Probab. 49, No. 4, 1091-1105 (2012). Reviewer: Ken-ichi Yoshihara (Yokohama) MSC: 60F17 60J05 60G10 PDF BibTeX XML Cite \textit{M. Longla} et al., J. Appl. Probab. 49, No. 4, 1091--1105 (2012; Zbl 1269.60041) Full Text: DOI Euclid arXiv
Chung, Hwan; Chang, Hsiu-Ching Bayesian approaches to the model selection problem in the analysis of latent stage-sequential process. (English) Zbl 1255.62307 Comput. Stat. Data Anal. 56, No. 12, 4097-4110 (2012). MSC: 62M99 62G99 62F15 62L99 65C40 PDF BibTeX XML Cite \textit{H. Chung} and \textit{H.-C. Chang}, Comput. Stat. Data Anal. 56, No. 12, 4097--4110 (2012; Zbl 1255.62307) Full Text: DOI
Sarich, Marco; Schütte, Christof Approximating selected non-dominant timescales by Markov state models. (English) Zbl 1254.60082 Commun. Math. Sci. 10, No. 3, 1001-1013 (2012). MSC: 60J35 PDF BibTeX XML Cite \textit{M. Sarich} and \textit{C. Schütte}, Commun. Math. Sci. 10, No. 3, 1001--1013 (2012; Zbl 1254.60082) Full Text: DOI
Caputo, Pietro; Lacoin, Hubert; Martinelli, Fabio; Simenhaus, François; Toninelli, Fabio Lucio Polymer dynamics in the depinned phase: metastability with logarithmic barriers. (English) Zbl 1262.60093 Probab. Theory Relat. Fields 153, No. 3-4, 587-641 (2012). Reviewer: Valeria Ricci (Rome) MSC: 60K35 82C20 PDF BibTeX XML Cite \textit{P. Caputo} et al., Probab. Theory Relat. Fields 153, No. 3--4, 587--641 (2012; Zbl 1262.60093) Full Text: DOI arXiv
Longla, Martial; Peligrad, Magda Some aspects of modeling dependence in copula-based Markov chains. (English) Zbl 1301.60089 J. Multivariate Anal. 111, 234-240 (2012). MSC: 60J35 60J20 62H05 PDF BibTeX XML Cite \textit{M. Longla} and \textit{M. Peligrad}, J. Multivariate Anal. 111, 234--240 (2012; Zbl 1301.60089) Full Text: DOI arXiv
Daneshgar, Amir; Javadi, Ramin; Miclo, Laurent On nodal domains and higher-order Cheeger inequalities of finite reversible Markov processes. (English) Zbl 1260.60153 Stochastic Processes Appl. 122, No. 4, 1748-1776 (2012). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 60J27 60J35 60E15 31C20 05C38 05C80 PDF BibTeX XML Cite \textit{A. Daneshgar} et al., Stochastic Processes Appl. 122, No. 4, 1748--1776 (2012; Zbl 1260.60153) Full Text: DOI
Cuny, Christophe; Peligrad, Magda Central limit theorem started at a point for stationary processes and additive functionals of reversible Markov chains. (English) Zbl 1247.60031 J. Theor. Probab. 25, No. 1, 171-188 (2012). Reviewer: Peter Kern (Düsseldorf) MSC: 60F05 60F15 60J05 PDF BibTeX XML Cite \textit{C. Cuny} and \textit{M. Peligrad}, J. Theor. Probab. 25, No. 1, 171--188 (2012; Zbl 1247.60031) Full Text: DOI arXiv
Latorre, Juan C.; Metzner, Philipp; Hartmann, Carsten; Schütte, Christof A structure-preserving numerical discretization of reversible diffusions. (English) Zbl 1284.60153 Commun. Math. Sci. 9, No. 4, 1051-1072 (2011). MSC: 60J70 60H35 60J27 65N08 PDF BibTeX XML Cite \textit{J. C. Latorre} et al., Commun. Math. Sci. 9, No. 4, 1051--1072 (2011; Zbl 1284.60153) Full Text: DOI Link
Meligkotsidou, Loukia; Dellaportas, Petros Forecasting with non-homogeneous hidden Markov models. (English) Zbl 1258.65010 Stat. Comput. 21, No. 3, 439-449 (2011). MSC: 65C60 65C05 65C40 60J22 62M20 PDF BibTeX XML Cite \textit{L. Meligkotsidou} and \textit{P. Dellaportas}, Stat. Comput. 21, No. 3, 439--449 (2011; Zbl 1258.65010) Full Text: DOI
Meligkotsidou, Loukia; Dellaportas, Petros Forecasting with non-homogeneous hidden Markov models. (English) Zbl 1253.91184 Stat. Comput. 21, No. 3, 439-449 (2011). MSC: 91G30 62F15 62M05 62P05 PDF BibTeX XML Cite \textit{L. Meligkotsidou} and \textit{P. Dellaportas}, Stat. Comput. 21, No. 3, 439--449 (2011; Zbl 1253.91184) Full Text: DOI
Gordin, Mikhail; Peligrad, Magda On the functional central limit theorem via martingale approximation. (English) Zbl 1284.60070 Bernoulli 17, No. 1, 424-440 (2011). MSC: 60F17 60F05 60G42 60J10 PDF BibTeX XML Cite \textit{M. Gordin} and \textit{M. Peligrad}, Bernoulli 17, No. 1, 424--440 (2011; Zbl 1284.60070) Full Text: DOI arXiv
Kelly, F. P. Reversibility and stochastic networks. With a new preface. Reprint of the 1979 ed. (English) Zbl 1260.60001 Cambridge: Cambridge University Press (ISBN 978-1-107-40115-0/pbk). viii, 230 p. (2011). Reviewer: Nicolas Perkowski (Berlin) MSC: 60-01 60K20 60J27 92D20 92D10 60K99 PDF BibTeX XML Cite \textit{F. P. Kelly}, Reversibility and stochastic networks. With a new preface. Reprint of the 1979 ed. Cambridge: Cambridge University Press (2011; Zbl 1260.60001)
Altenberg, Lee An evolutionary reduction principle for mutation rates at multiple loci. (English) Zbl 1215.92044 Bull. Math. Biol. 73, No. 6, 1227-1270 (2011). MSC: 92D15 15B51 60J20 PDF BibTeX XML Cite \textit{L. Altenberg}, Bull. Math. Biol. 73, No. 6, 1227--1270 (2011; Zbl 1215.92044) Full Text: DOI arXiv
Bordenave, Charles; Caputo, Pietro; Chafaï, Djalil Spectrum of large random reversible Markov chains: two examples. (English) Zbl 1276.15016 ALEA, Lat. Am. J. Probab. Math. Stat. 7, 41-64 (2010). MSC: 15B52 60K37 60F15 62H99 37H10 47B36 PDF BibTeX XML Cite \textit{C. Bordenave} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 7, 41--64 (2010; Zbl 1276.15016) Full Text: Link
Miclo, Laurent On absorption times and Dirichlet eigenvalues. (English) Zbl 1222.60050 ESAIM, Probab. Stat. 14, 117-150 (2010). Reviewer: Alexander I. Zejfman (Vologda) MSC: 60J10 60J27 PDF BibTeX XML Cite \textit{L. Miclo}, ESAIM, Probab. Stat. 14, 117--150 (2010; Zbl 1222.60050) Full Text: DOI EuDML
Spezia, Luigi Bayesian analysis of multivariate Gaussian hidden Markov models with an unknown number of regimes. (English) Zbl 1222.62110 J. Time Ser. Anal. 31, No. 1, 1-11 (2010). Reviewer: Mikhail Moklyachuk (Kyïv) MSC: 62M10 60J99 62F15 62H12 65C60 PDF BibTeX XML Cite \textit{L. Spezia}, J. Time Ser. Anal. 31, No. 1, 1--11 (2010; Zbl 1222.62110) Full Text: DOI
Xiang, Xuyan; Yang, Xiangqun; Deng, Yingchun Identifying transition rates of ion channels underlying with star-graph branch type Markov chain. (Chinese. English summary) Zbl 1224.60180 Appl. Math., Ser. A (Chin. Ed.) 25, No. 1, 13-26 (2010). MSC: 60J20 60J10 60K40 PDF BibTeX XML Cite \textit{X. Xiang} et al., Appl. Math., Ser. A (Chin. Ed.) 25, No. 1, 13--26 (2010; Zbl 1224.60180)
Collet, Francesca; Dai Pra, Paolo; Sartori, Elena A simple mean field model for social interactions: dynamics, fluctuations, criticality. (English) Zbl 1197.82082 J. Stat. Phys. 139, No. 5, 820-858 (2010). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82C26 82B26 82C22 82C27 70F45 PDF BibTeX XML Cite \textit{F. Collet} et al., J. Stat. Phys. 139, No. 5, 820--858 (2010; Zbl 1197.82082) Full Text: DOI arXiv
Evans, Steven N.; Sturmfels, Bernd; Uhler, Caroline Commuting birth-and-death processes. (English) Zbl 1200.60072 Ann. Appl. Probab. 20, No. 1, 238-266 (2010). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60J80 60J22 60C05 13P10 68W30 PDF BibTeX XML Cite \textit{S. N. Evans} et al., Ann. Appl. Probab. 20, No. 1, 238--266 (2010; Zbl 1200.60072) Full Text: DOI arXiv
Peres, Yuval The unreasonable effectiveness of martingales. (English) Zbl 1423.60112 Mathieu, Claire (ed.), Proceedings of the 20th annual ACM-SIAM symposium on discrete algorithms, SODA 2009, New York, NY, USA, January 4–6, 2009. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 997-1000 (2009). MSC: 60J10 60G42 60K35 05C80 PDF BibTeX XML Cite \textit{Y. Peres}, in: Proceedings of the 20th annual ACM-SIAM symposium on discrete algorithms, SODA 2009, New York, NY, USA, January 4--6, 2009. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 997--1000 (2009; Zbl 1423.60112) Full Text: Link
Rosen, Ori; Stoffer, David S.; Wood, Sally Local spectral analysis via a Bayesian mixture of smoothing splines. (English) Zbl 1388.62268 J. Am. Stat. Assoc. 104, No. 485, 249-262 (2009). MSC: 62M10 62M15 PDF BibTeX XML Cite \textit{O. Rosen} et al., J. Am. Stat. Assoc. 104, No. 485, 249--262 (2009; Zbl 1388.62268) Full Text: DOI
Chen, Yong On the monotonicity of autocorrelation function for finite state Markov processes. (English) Zbl 1212.60143 Acta Sci. Nat. Univ. Pekin. 45, No. 1, 11-14 (2009). MSC: 60J35 PDF BibTeX XML Cite \textit{Y. Chen}, Acta Sci. Nat. Univ. Pekin. 45, No. 1, 11--14 (2009; Zbl 1212.60143)