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Roberts, Gareth O.

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Author ID: roberts.gareth-o Recent zbMATH articles by "Roberts, Gareth O."
Published as: Roberts, Gareth O.; Roberts, G. O.; Roberts, Gareth; Roberts, G.
External Links: MGP · Wikidata · GND
Documents Indexed: 170 Publications since 1979, including 2 Books
all top 5

Co-Authors

7 single-authored
42 Rosenthal, Jeffrey S.
17 Papaspiliopoulos, Omiros
12 Beskos, Alexandros
8 Fearnhead, Paul
6 Breyer, Laird Arnault
6 Dellaportas, Petros
6 Neal, Peter J.
6 Stuart, Andrew M.
5 Bierkens, Joris
5 Latuszynski, Krzysztof
4 Casella, Bruno
4 Gilks, Walter R.
4 Jacka, Saul D.
4 Polson, Nicholas G.
3 Peluchetti, Stefano
3 Pollock, Murray
3 Sherlock, Chris
3 Stramer, Osnat
2 Bloore, F. J.
2 Bodelón, Clara
2 Brooks, Stephen P.
2 Devaney, Robert L.
2 Durmus, Alain
2 Fort, Gersende
2 Giudici, Paolo
2 Goldberg, Lisa Robin
2 Gonçalves, Flávio Bambirra
2 Griffin, Adam
2 Hubbard, John Hamal
2 Jarner, Søren Fiig
2 Kalogeropoulos, Konstantinos
2 Medina-Aguayo, F. J.
2 Moulines, Eric
2 Pillai, Natesh S.
2 Segers, Johan
2 Shortland, C. F.
2 Sköld, Martin
2 Smith, Adrian F. M.
2 Sousa, Bruno
2 Spencer, Simon Edward Frank
2 Steinsaltz, David R.
2 Tawn, Nicholas G.
2 Thiéry, Alexandre H.
2 Vollmer, Sebastian J.
2 Wang, Andi Q.
1 Agapiou, Sergios
1 Andrieu, Christophe
1 Atchadé, Yves F.
1 Bai, Yan
1 Berthelsen, Kasper K.
1 Birrell, Paul J.
1 Blanchet, Jose H.
1 Bouchard-Côté, Alexandre
1 Brown, Patrick E.
1 Christensen, Ole F.
1 Cotter, Simon L.
1 Cowles, Mary Kathryn
1 Craiu, Radu V.
1 Dai, Hongsheng
1 Daniels, Henry E.
1 de Angelis, Daniela
1 Doucet, Arnaud
1 Duncan, Andrew B.
1 Dunsmuir, William T. M.
1 Easton, Robert W.
1 Ernst, Philip A.
1 Faulkner, M. F.
1 Franzke, Christian L. E.
1 Friel, Nial
1 Gray, Lawrence F.
1 Held, Leonhard
1 Homer, Anthony
1 Jenkins, Paul A.
1 Jewell, Chris P.
1 Johansen, Adam M.
1 Jones, Galin L.
1 Kåresen, Kjetil F.
1 Kendall, Wilfrid S.
1 Kolb, Martin
1 Kosmidis, Ioannis
1 Kumar, Satindar
1 Kypraios, Theodore
1 Le Corff, Sylvain
1 Liechty, John C.
1 Lienart, Thibaut
1 Lo, S. F. V.
1 Lo, Violet S. F.
1 Madras, Neal
1 Marshall, Tristan
1 Meiss, James D.
1 Meyn, Sean P.
1 Moller, Jesper
1 Peavoy, Daniel
1 Pebody, Richard G.
1 Pokern, Yvo
1 Pollett, Philip K.
1 Rao, Jonnagadda Nalini Kanth
1 Rostron, R. J.
1 Sahu, Sujit K.
1 Sangalli, Laura Maria
...and 14 more Co-Authors
all top 5

Serials

20 The Annals of Applied Probability
14 Journal of Applied Probability
12 Journal of the Royal Statistical Society. Series B. Statistical Methodology
12 Methodology and Computing in Applied Probability
11 Biometrika
11 Stochastic Processes and their Applications
10 Bernoulli
6 The Annals of Statistics
5 Advances in Applied Probability
5 Statistical Science
5 Statistics and Computing
4 Scandinavian Journal of Statistics
4 Journal of the Royal Statistical Society. Series B
3 Statistics & Probability Letters
2 The Canadian Journal of Statistics
2 Queueing Systems
2 Extremes
2 LMS Journal of Computation and Mathematics
2 Advances and Applications in Statistics
2 Stochastic Models
1 Geophysical and Astrophysical Fluid Dynamics
1 Mathematical Biosciences
1 The Annals of Probability
1 Journal of the American Statistical Association
1 Journal of the London Mathematical Society. Second Series
1 Journal of Multivariate Analysis
1 Physica D
1 Communications in Statistics. Stochastic Models
1 Random Structures & Algorithms
1 Differential Geometry and its Applications
1 Journal of Statistical Computation and Simulation
1 Computational Statistics and Data Analysis
1 Stochastics and Stochastics Reports
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal of Difference Equations and Applications
1 Electronic Journal of Probability
1 Electronic Communications in Probability
1 Mathematical Finance
1 Far East Journal of Mathematical Sciences
1 Biostatistics
1 Brazilian Journal of Probability and Statistics
1 Journal of Modern Optics
1 Stochastics and Dynamics
1 The Annals of Applied Statistics
1 Probability Surveys
1 Sankhyā
1 Bayesian Analysis

Publications by Year

Citations contained in zbMATH Open

143 Publications have been cited 3,652 times in 1,633 Documents Cited by Year
Weak convergence and optimal scaling of random walk Metropolis algorithms. Zbl 0876.60015
Roberts, G. O.; Gelman, A.; Gilks, W. R.
233
1997
Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods. Zbl 0779.62030
Smith, A. F. M.; Roberts, G. O.
175
1993
Optimal scaling for various Metropolis-Hastings algorithms. Zbl 1127.65305
Roberts, Gareth O.; Rosenthal, Jeffrey S.
157
2001
Exponential convergence of Langevin distributions and their discrete approximations. Zbl 0870.60027
Roberts, Gareth O.; Tweedie, Richard L.
146
1996
General state space Markov chains and MCMC algorithms. Zbl 1189.60131
Roberts, Gareth O.; Rosenthal, Jeffrey S.
138
2004
The pseudo-marginal approach for efficient Monte Carlo computations. Zbl 1185.60083
Andrieu, Christophe; Roberts, Gareth O.
138
2009
MCMC methods for functions: modifying old algorithms to make them faster. Zbl 1331.62132
Cotter, S. L.; Roberts, G. O.; Stuart, A. M.; White, D.
125
2013
Optimal scaling of discrete approximations to Langevin diffusions. Zbl 0913.60060
Roberts, Gareth O.; Rosenthal, Jeffrey S.
104
1998
Exact and computationally efficient likelihood-based estimation for discretely observed diffusion processes (With discussion). Zbl 1100.62079
Beskos, Alexandros; Papaspiliopoulos, Omiros; Roberts, Gareth O.; Fearnhead, Paul
103
2006
Geometric ergodicity and hybrid Markov chains. Zbl 0890.60061
Roberts, Gareth O.; Rosenthal, Jeffrey S.
95
1997
Geometric convergence and central limit theorems for multidimensional Hastings and Metropolis algorithms. Zbl 0888.60064
Roberts, G. O.; Tweedie, R. L.
95
1996
Retrospective Markov chain Monte Carlo methods for Dirichlet process hierarchical models. Zbl 1437.62576
Papaspiliopoulos, Omiros; Roberts, Gareth O.
86
2008
Exact simulation of diffusions. Zbl 1101.60060
Beskos, Alexandros; Roberts, Gareth O.
76
2005
On inference for partially observed nonlinear diffusion models using the Metropolis-Hastings algorithm. Zbl 0985.62066
Roberts, G. O.; Stramer, O.
73
2001
Coupling and ergodicity of adaptive Markov chain Monte Carlo algorithms. Zbl 1137.62015
Roberts, Gareth O.; Rosenthal, Jeffrey S.
72
2007
Polynomial convergence rates of Markov chains. Zbl 1012.60062
Jarner, Søren F.; Roberts, Gareth O.
61
2002
Updating schemes, correlation structure, blocking and parameterization for the Gibbs sampler. Zbl 0886.62083
Roberts, G. O.; Sahu, S. K.
60
1997
Retrospective exact simulation of diffusion sample paths with applications. Zbl 1129.60073
Beskos, Alexandros; Papaspiliopoulos, Omiros; Roberts, Gareth O.
57
2006
Efficient construction of reversible jump Markov chain Monte Carlo proposal distributions (with discussion). Zbl 1063.62120
Brooks, S. P.; Giudici, P.; Roberts, G. O.
52
2003
Simple conditions for the convergence of the Gibbs sampler and Metropolis-Hastings algorithms. Zbl 0803.60067
Roberts, G. O.; Smith, A. F. M.
50
1994
MCMC methods for diffusion bridges. Zbl 1159.65007
Beskos, Alexandros; Roberts, Gareth; Stuart, Andrew; Voss, Jochen
49
2008
Langevin diffusions and Metropolis-Hastings algorithms. Zbl 1033.65003
Roberts, G. O.; Stramer, O.
42
2002
Bayesian inference for non-Gaussian Ornstein-Uhlenbeck stochastic volatility processes. Zbl 1062.62049
Roberts, Gareth O.; Papaspiliopoulos, Omiros; Dellaportas, Petros
42
2004
Adaptive Markov chain Monte Carlo through regeneration. Zbl 1064.65503
Gilks, Walter R.; Roberts, Gareth O.; Sahu, Sujit K.
39
1998
Bounds on regeneration times and convergence rates for Markov chains. Zbl 0961.60066
Roberts, G. O.; Tweedie, R. L.
38
1999
Optimal tuning of the hybrid Monte Carlo algorithm. Zbl 1287.60090
Beskos, Alexandros; Pillai, Natesh; Roberts, Gareth; Sanz-Serna, Jesus-Maria; Stuart, Andrew
38
2013
Markov chain concepts related to sampling algorithms. Zbl 0839.62078
Roberts, Gareth O.
37
1996
Optimal scalings for local Metropolis-Hastings chains on nonproduct targets in high dimensions. Zbl 1172.60328
Beskos, Alexandros; Roberts, Gareth; Stuart, Andrew
36
2009
A general framework for the parametrization of hierarchical models. Zbl 1246.62195
Papaspiliopoulos, Omiros; Roberts, Gareth O.; Sköld, Martin
36
2007
On the efficiency of pseudo-marginal random walk Metropolis algorithms. Zbl 1326.65015
Sherlock, Chris; Thiery, Alexandre H.; Roberts, Gareth O.; Rosenthal, Jeffrey S.
34
2015
Blur-generated non-separable space-time models. Zbl 0957.62081
Brown, Patrick E.; Kåresen, Kjetil F.; Roberts, Gareth O.; Tonellato, Stefano
34
2000
Subgeometric ergodicity of strong Markov processes. Zbl 1072.60057
Fort, G.; Roberts, G. O.
34
2005
Particle filters for partially observed diffusions. Zbl 05563368
Fearnhead, Paul; Papaspiliopoulos, Omiros; Roberts, Gareth O.
30
2008
A factorisation of diffusion measure and finite sample path constructions. Zbl 1152.65013
Beskos, Alexandros; Papaspiliopoulos, Omiros; Roberts, Gareth O.
28
2008
Hairs for the complex exponential family. Zbl 1192.37061
Bodelón, Clara; Devaney, Robert L.; Hayes, Michael; Roberts, Gareth; Goldberg, Lisa R.; Hubbard, John H.
26
1999
Convergence of slice sampler Markov chains. Zbl 0929.62098
Roberts, Gareth O.; Rosenthal, Jeffrey S.
25
1999
From Metropolis to diffusions: Gibbs states and optimal scaling. Zbl 1047.60065
Breyer, L. A.; Roberts, G. O.
25
2000
Weak convergence of conditioned processes on a countable state space. Zbl 0839.60069
Jacka, S. D.; Roberts, G. O.
24
1995
Quantitative bounds for convergence rates of continuous time Markov processes. Zbl 0891.60068
Roberts, Gareth O.; Rosenthal, Jeffrey S.
24
1996
Markov-chain Monte Carlo: Some practical implications of theoretical results (With discussions and rejoinder). Zbl 0920.62105
Roberts, Gareth O.; Rosenthal, Jeffrey S.
24
1998
The zig-zag process and super-efficient sampling for Bayesian analysis of big data. Zbl 1417.65008
Bierkens, Joris; Fearnhead, Paul; Roberts, Gareth
23
2019
Rates on the convergence of stochastically monotone and continuous time Markov models. Zbl 0979.60060
Roberts, G. O.; Tweedie, R. L.
23
2000
Scaling limits for the transient phase of local Metropolis-Hastings algorithms. Zbl 1075.65012
Christensen, Ole F.; Roberts, Gareth O.; Rosenthal, Jeffrey S.
22
2005
Bayesian analysis for emerging infectious diseases. Zbl 1330.62395
Jewell, Chris P.; Kypraios, Theodore; Neal, Peter; Roberts, Gareth O.
21
2009
Pricing barrier options with time-dependent coefficients. Zbl 0884.90044
Roberts, G. O.; Shortland, C. F.
21
1997
Strategies for improving MCMC. Zbl 0844.62100
Gilks, Walter R.; Roberts, Gareth O.
21
1996
On the geometric convergence of the Gibbs sampler. Zbl 0796.62029
Roberts, Gareth O.; Polson, Nicholas G.
21
1994
Monte Carlo maximum likelihood estimation for discretely observed diffusion processes. Zbl 1169.65004
Beskos, Alexandros; Papaspiliopoulos, Omiros; Roberts, Gareth
21
2009
Optimal scaling for partially updating MCMC algorithms. Zbl 1127.60021
Neal, Peter; Roberts, Gareth
19
2006
Convergence properties of perturbed Markov chains. Zbl 0909.60049
Roberts, Gareth O.; Rosenthal, Jeffrey S.; Schwartz, Peter O.
19
1998
Geometric \(L^2\) and \(L^1\) convergence are equivalent for reversible Markov chains. Zbl 1011.60050
Roberts, Gareth O.; Tweedie, Richard L.
19
2001
Statistical inference and model selection for the 1861 Hagelloch measles epidemic. Zbl 1096.62123
Neal, Peter J.; Roberts, Gareth O.
18
2004
Perfect slice samplers. Zbl 0993.65015
Mira, A.; Møller, J.; Roberts, G. O.
18
2001
Markov chains and de-initializing processes. Zbl 0985.60067
Roberts, Gareth O.; Rosenthal, Jeffrey S.
18
2001
Nonparametric estimation of diffusions: a differential equations approach. Zbl 1437.62575
Papaspiliopoulos, Omiros; Pokern, Yvo; Roberts, Gareth O.; Stuart, Andrew M.
18
2012
On the geometric ergodicity of hybrid samplers. Zbl 1028.65002
Fort, G.; Moulines, E.; Roberts, G. O.; Rosenthal, J. S.
17
2003
Optimal scaling of the random walk Metropolis on elliptically symmetric unimodal targets. Zbl 1215.60047
Sherlock, Chris; Roberts, Gareth
17
2009
Variance bounding Markov chains. Zbl 1142.60047
Roberts, Gareth O.; Rosenthal, Jeffrey S.
17
2008
Optimal scaling of random walk Metropolis algorithms with discontinuous target densities. Zbl 1259.60082
Neal, Peter; Roberts, Gareth; Yuen, Wai Kong
16
2012
Convergence of heavy-tailed Monte Carlo Markov chain algorithms. Zbl 1164.65004
Jarner, Søren F.; Roberts, Gareth
15
2007
Towards optimal scaling of Metropolis-coupled Markov chain Monte Carlo. Zbl 1223.65001
Atchadé, Yves F.; Roberts, Gareth O.; Rosenthal, Jeffrey S.
15
2011
On the containment condition for adaptive Markov chain Monte Carlo algorithms. Zbl 1225.60130
Bai, Yan; Roberts, Gareth O.; Rosenthal, Jeffrey S.
14
2011
A piecewise deterministic scaling limit of lifted Metropolis-Hastings in the Curie-Weiss model. Zbl 1370.60039
Bierkens, Joris; Roberts, Gareth
14
2017
The random walk Metropolis: linking theory and practice through a case study. Zbl 1328.60177
Sherlock, Chris; Fearnhead, Paul; Roberts, Gareth O.
13
2010
Fast viscous Benard convection. Zbl 0419.76066
Roberts, G. O.
13
1979
Stability of the Gibbs sampler for Bayesian hierarchical models. Zbl 1144.65007
Papaspiliopoulos, Omiros; Roberts, Gareth
13
2008
Logistic regression analysis of sample survey data. Zbl 0625.62007
Roberts, G.; Rao, J. N. K.; Kumar, S.
13
1987
A quasi-ergodic theorem for evanescent processes. Zbl 0996.60085
Breyer, L. A.; Roberts, G. O.
13
1999
Optimal scaling for random walk Metropolis on spherically constrained target densities. Zbl 1141.60316
Neal, Peter; Roberts, Gareth
13
2008
Harris recurrence of Metropolis-within-Gibbs and trans-dimensional Markov chains. Zbl 1121.60076
Roberts, Gareth O.; Rosenthal, Jeffrey S.
12
2006
Importance sampling techniques for estimation of diffusion models. Zbl 1272.65012
Papaspiliopoulos, Omiros; Roberts, Gareth
12
2012
Shift-coupling and convergence rates of ergodic averages. Zbl 0871.60046
Roberts, Gareth O.; Rosenthal, Jeffrey S.
10
1997
Dynamical convergence of polynomials to the exponential. Zbl 0976.37022
Bodelón, Clara; Devaney, Robert L.; Hayes, Michael; Roberts, Gareth; Goldberg, Lisa R.; Hubbard, John H.
10
2000
Convergence of adaptive direction sampling. Zbl 0806.62052
Roberts, G. O.; Gilks, W. R.
10
1994
Bayesian inference for nondecomposable graphical Gaussian models. Zbl 1192.62090
Dellaportas, Petros; Giudici, Paolo; Roberts, Gareth
10
2003
On convergence rates of Gibbs samplers for uniform distributions. Zbl 0935.60054
Roberts, Gareth O.; Rosenthal, Jeffrey S.
10
1998
An introduction to MCMC. Zbl 1035.62083
Dellaportas, Petros; Roberts, Gareth O.
10
2003
Minimising MCMC variance via diffusion limits, with an application to simulated tempering. Zbl 1298.60078
Roberts, Gareth O.; Rosenthal, Jeffrey S.
10
2014
Exact simulation of jump-diffusion processes with Monte Carlo applications. Zbl 1237.60067
Casella, Bruno; Roberts, Gareth O.
10
2011
Simulating events of unknown probabilities via reverse time martingales. Zbl 1236.60044
Łatuszyński, Krzysztof; Kosmidis, Ioannis; Papaspiliopoulos, Omiros; Roberts, Gareth O.
9
2011
Adaptive Gibbs samplers and related MCMC methods. Zbl 1263.60067
Łatuszyński, Krzysztof; Roberts, Gareth O.; Rosenthal, Jeffrey S.
9
2013
Stability of noisy Metropolis-Hastings. Zbl 06653296
Medina-Aguayo, F. J.; Lee, A.; Roberts, G. O.
9
2016
Two convergence properties of hybrid samplers. Zbl 0938.60055
Roberts, Gareth O.; Rosenthal, Jeffrey S.
8
1998
On the exact and \(\varepsilon\)-strong simulation of (jump) diffusions. Zbl 1343.60099
Pollock, Murray; Johansen, Adam M.; Roberts, Gareth O.
8
2016
Random-weight particle filtering of continuous time processes. Zbl 1411.60109
Fearnhead, Paul; Papaspiliopoulos, Omiros; Roberts, Gareth O.; Stuart, Andrew
7
2010
Markov chain Monte Carlo for exact inference for diffusions. Zbl 1328.65015
Sermaidis, Giorgos; Papaspiliopoulos, Omiros; Roberts, Gareth O.; Beskos, Alexandros; Fearnhead, Paul
7
2013
Extremal indices, geometric ergodicity of Markov chains and MCMC. Zbl 1142.65011
Roberts, Gareth O.; Rosenthal, Jeffrey S.; Segers, Johan; Sousa, Bruno
7
2006
Optimal Metropolis algorithms for product measures on the vertices of a hypercube. Zbl 0904.60021
Roberts, Gareth O.
7
1998
Catalytic perfect simulation. Zbl 0999.60069
Breyer, L. A.; Roberts, G. O.
7
2001
Corrigendum to “Bounds on regeneration times and convergence rates for Markov chains”. Zbl 1047.60072
Roberts, G. O.; Tweedie, R. L.
7
2001
Exact simulation problems for jump-diffusions. Zbl 1334.60130
Gonçalves, Flávio B.; Roberts, Gareth O.
7
2014
Piecewise deterministic Markov processes for scalable Monte Carlo on restricted domains. Zbl 1463.62215
Bierkens, Joris; Bouchard-Côté, Alexandre; Doucet, Arnaud; Duncan, Andrew B.; Fearnhead, Paul; Lienart, Thibaut; Roberts, Gareth; Vollmer, Sebastian J.
7
2018
Fast Langevin based algorithm for MCMC in high dimensions. Zbl 1373.60053
Durmus, Alain; Roberts, Gareth O.; Vilmart, Gilles; Zygalakis, Konstantinos C.
6
2017
Bayesian non-parametric hidden Markov models with applications in genomics. Zbl 1411.62247
Yau, C.; Papaspiliopoulos, O.; Roberts, G. O.; Holmes, C.
6
2011
On strong forms of weak convergence. Zbl 0890.60005
Jacka, S. D.; Roberts, G. O.
6
1997
The hazard rate tangent approximation for boundary hitting times. Zbl 0836.60087
Roberts, G. O.; Shortland, C. F.
6
1995
Bayes factors for discrete observations from diffusion processes. Zbl 0815.62069
Polson, Nicholas G.; Roberts, Gareth O.
6
1994
Inference for stochastic volatility models using time change transformations. Zbl 1189.91220
Kalogeropoulos, Konstantinos; Roberts, Gareth O.; Dellaportas, Petros
6
2010
The polar slice sampler. Zbl 1006.65004
Roberts, Gareth O.; Rosenthal, Jeffrey S.
6
2002
Drift by coupling to an anti-integrable limit. Zbl 1075.37522
Easton, R. W.; Meiss, J. D.; Roberts, G.
6
2001
An approximation scheme for quasi-stationary distributions of killed diffusions. Zbl 1434.60014
Wang, Andi Q.; Roberts, Gareth O.; Steinsaltz, David
3
2020
Weight-preserving simulated tempering. Zbl 1431.60082
Tawn, Nicholas G.; Roberts, Gareth O.; Rosenthal, Jeffrey S.
1
2020
The zig-zag process and super-efficient sampling for Bayesian analysis of big data. Zbl 1417.65008
Bierkens, Joris; Fearnhead, Paul; Roberts, Gareth
23
2019
Ergodicity of the zigzag process. Zbl 1467.60020
Bierkens, Joris; Roberts, Gareth O.; Zitt, Pierre-André
4
2019
Kinetic energy choice in Hamiltonian/hybrid Monte Carlo. Zbl 1439.60070
Livingstone, S.; Faulkner, M. F.; Roberts, G. O.
3
2019
Scalable importance tempering and Bayesian variable selection. Zbl 1420.62059
Zanella, Giacomo; Roberts, Gareth
2
2019
Theoretical properties of quasi-stationary Monte Carlo methods. Zbl 1408.60072
Wang, Andi Q.; Kolb, Martin; Roberts, Gareth O.; Steinsaltz, David
2
2019
Accelerating parallel tempering: quantile tempering algorithm (QuanTA). Zbl 1429.65012
Tawn, Nicholas G.; Roberts, Gareth O.
1
2019
MEXIT: maximal un-coupling times for stochastic processes. Zbl 1403.60062
Ernst, Philip A.; Kendall, Wilfrid S.; Roberts, Gareth O.; Rosenthal, Jeffrey S.
1
2019
Piecewise deterministic Markov processes for scalable Monte Carlo on restricted domains. Zbl 1463.62215
Bierkens, Joris; Bouchard-Côté, Alexandre; Doucet, Arnaud; Duncan, Andrew B.; Fearnhead, Paul; Lienart, Thibaut; Roberts, Gareth; Vollmer, Sebastian J.
7
2018
Piecewise deterministic Markov processes for continuous-time Monte Carlo. Zbl 1403.62148
Fearnhead, Paul; Bierkens, Joris; Pollock, Murray; Roberts, Gareth O.
6
2018
Unbiased Monte Carlo: posterior estimation for intractable/infinite-dimensional models. Zbl 1419.62048
Agapiou, Sergios; Roberts, Gareth O.; Vollmer, Sebastian J.
3
2018
A piecewise deterministic scaling limit of lifted Metropolis-Hastings in the Curie-Weiss model. Zbl 1370.60039
Bierkens, Joris; Roberts, Gareth
14
2017
Fast Langevin based algorithm for MCMC in high dimensions. Zbl 1373.60053
Durmus, Alain; Roberts, Gareth O.; Vilmart, Gilles; Zygalakis, Konstantinos C.
6
2017
Simulation from quasi-stationary distributions on reducible state spaces. Zbl 1425.60067
Griffin, A.; Jenkins, P. A.; Roberts, G. O.; Spencer, S. E. F.
1
2017
Optimal scaling of the random walk Metropolis algorithm under \(L^p\) mean differentiability. Zbl 1401.65007
Durmus, Alain; Le Corff, Sylvain; Moulines, Eric; Roberts, Gareth O.
1
2017
Stability of noisy Metropolis-Hastings. Zbl 06653296
Medina-Aguayo, F. J.; Lee, A.; Roberts, G. O.
9
2016
On the exact and \(\varepsilon\)-strong simulation of (jump) diffusions. Zbl 1343.60099
Pollock, Murray; Johansen, Adam M.; Roberts, Gareth O.
8
2016
Complexity bounds for Markov chain Monte Carlo algorithms via diffusion limits. Zbl 1345.60082
Roberts, Gareth O.; Rosenthal, Jeffrey S.
3
2016
On the efficiency of pseudo-marginal random walk Metropolis algorithms. Zbl 1326.65015
Sherlock, Chris; Thiery, Alexandre H.; Roberts, Gareth O.; Rosenthal, Jeffrey S.
34
2015
Stability of adversarial Markov chains, with an application to adaptive MCMC algorithms. Zbl 1328.60169
Craiu, Radu V.; Gray, Lawrence; Łatuszyński, Krzysztof; Madras, Neal; Roberts, Gareth O.; Rosenthal, Jeffrey S.
1
2015
Systematic physics constrained parameter estimation of stochastic differential equations. Zbl 06984133
Peavoy, Daniel; Franzke, Christian L. E.; Roberts, Gareth O.
1
2015
Minimising MCMC variance via diffusion limits, with an application to simulated tempering. Zbl 1298.60078
Roberts, Gareth O.; Rosenthal, Jeffrey S.
10
2014
Exact simulation problems for jump-diffusions. Zbl 1334.60130
Gonçalves, Flávio B.; Roberts, Gareth O.
7
2014
Convergence of conditional Metropolis-Hastings samplers. Zbl 1379.60082
Jones, Galin L.; Roberts, Gareth O.; Rosenthal, Jeffrey S.
5
2014
MCMC methods for functions: modifying old algorithms to make them faster. Zbl 1331.62132
Cotter, S. L.; Roberts, G. O.; Stuart, A. M.; White, D.
125
2013
Optimal tuning of the hybrid Monte Carlo algorithm. Zbl 1287.60090
Beskos, Alexandros; Pillai, Natesh; Roberts, Gareth; Sanz-Serna, Jesus-Maria; Stuart, Andrew
38
2013
Adaptive Gibbs samplers and related MCMC methods. Zbl 1263.60067
Łatuszyński, Krzysztof; Roberts, Gareth O.; Rosenthal, Jeffrey S.
9
2013
Markov chain Monte Carlo for exact inference for diffusions. Zbl 1328.65015
Sermaidis, Giorgos; Papaspiliopoulos, Omiros; Roberts, Gareth O.; Beskos, Alexandros; Fearnhead, Paul
7
2013
CLTs and asymptotic variance of time-sampled Markov chains. Zbl 1262.60068
Łatuszyński, Krzysztof; Roberts, Gareth O.
5
2013
A note on formal constructions of sequential conditional couplings. Zbl 1285.60077
Roberts, Gareth O.; Rosenthal, Jeffrey S.
2
2013
Robert Recorde. The life and times of a Tudor mathematician. Paperback reprint of the 2012 original. Zbl 1309.01006
Roberts, Gareth; Smith, Fenny
1
2013
Nonparametric estimation of diffusions: a differential equations approach. Zbl 1437.62575
Papaspiliopoulos, Omiros; Pokern, Yvo; Roberts, Gareth O.; Stuart, Andrew M.
18
2012
Optimal scaling of random walk Metropolis algorithms with discontinuous target densities. Zbl 1259.60082
Neal, Peter; Roberts, Gareth; Yuen, Wai Kong
16
2012
Importance sampling techniques for estimation of diffusion models. Zbl 1272.65012
Papaspiliopoulos, Omiros; Roberts, Gareth
12
2012
\(\varepsilon\)-strong simulation of the Brownian path. Zbl 1263.65007
Beskos, Alexandros; Peluchetti, Stefano; Roberts, Gareth
5
2012
An adaptive approach to Langevin MCMC. Zbl 1252.62099
Marshall, Tristan; Roberts, Gareth
4
2012
Towards optimal scaling of Metropolis-coupled Markov chain Monte Carlo. Zbl 1223.65001
Atchadé, Yves F.; Roberts, Gareth O.; Rosenthal, Jeffrey S.
15
2011
On the containment condition for adaptive Markov chain Monte Carlo algorithms. Zbl 1225.60130
Bai, Yan; Roberts, Gareth O.; Rosenthal, Jeffrey S.
14
2011
Exact simulation of jump-diffusion processes with Monte Carlo applications. Zbl 1237.60067
Casella, Bruno; Roberts, Gareth O.
10
2011
Simulating events of unknown probabilities via reverse time martingales. Zbl 1236.60044
Łatuszyński, Krzysztof; Kosmidis, Ioannis; Papaspiliopoulos, Omiros; Roberts, Gareth O.
9
2011
Bayesian non-parametric hidden Markov models with applications in genomics. Zbl 1411.62247
Yau, C.; Papaspiliopoulos, O.; Roberts, G. O.; Holmes, C.
6
2011
Optimal scaling of random walk Metropolis algorithms with non-Gaussian proposals. Zbl 1237.60060
Neal, Peter; Roberts, Gareth
6
2011
Quantitative non-geometric convergence bounds for independence samplers. Zbl 1222.60054
Roberts, Gareth O.; Rosenthal, Jeffrey S.
5
2011
Likelihood-based inference for correlated diffusions. Zbl 1221.65027
Kalogeropoulos, Konstantinos; Dellaportas, Petros; Roberts, Gareth O.
2
2011
Stability of partially implicit Langevin schemes and their MCMC variants. Zbl 1248.60080
Casella, Bruno; Roberts, Gareth; Stramer, Osnat
1
2011
The random walk Metropolis: linking theory and practice through a case study. Zbl 1328.60177
Sherlock, Chris; Fearnhead, Paul; Roberts, Gareth O.
13
2010
Random-weight particle filtering of continuous time processes. Zbl 1411.60109
Fearnhead, Paul; Papaspiliopoulos, Omiros; Roberts, Gareth O.; Stuart, Andrew
7
2010
Inference for stochastic volatility models using time change transformations. Zbl 1189.91220
Kalogeropoulos, Konstantinos; Roberts, Gareth O.; Dellaportas, Petros
6
2010
The pseudo-marginal approach for efficient Monte Carlo computations. Zbl 1185.60083
Andrieu, Christophe; Roberts, Gareth O.
138
2009
Optimal scalings for local Metropolis-Hastings chains on nonproduct targets in high dimensions. Zbl 1172.60328
Beskos, Alexandros; Roberts, Gareth; Stuart, Andrew
36
2009
Bayesian analysis for emerging infectious diseases. Zbl 1330.62395
Jewell, Chris P.; Kypraios, Theodore; Neal, Peter; Roberts, Gareth O.
21
2009
Monte Carlo maximum likelihood estimation for discretely observed diffusion processes. Zbl 1169.65004
Beskos, Alexandros; Papaspiliopoulos, Omiros; Roberts, Gareth
21
2009
Optimal scaling of the random walk Metropolis on elliptically symmetric unimodal targets. Zbl 1215.60047
Sherlock, Chris; Roberts, Gareth
17
2009
Retrospective Markov chain Monte Carlo methods for Dirichlet process hierarchical models. Zbl 1437.62576
Papaspiliopoulos, Omiros; Roberts, Gareth O.
86
2008
MCMC methods for diffusion bridges. Zbl 1159.65007
Beskos, Alexandros; Roberts, Gareth; Stuart, Andrew; Voss, Jochen
49
2008
Particle filters for partially observed diffusions. Zbl 05563368
Fearnhead, Paul; Papaspiliopoulos, Omiros; Roberts, Gareth O.
30
2008
A factorisation of diffusion measure and finite sample path constructions. Zbl 1152.65013
Beskos, Alexandros; Papaspiliopoulos, Omiros; Roberts, Gareth O.
28
2008
Variance bounding Markov chains. Zbl 1142.60047
Roberts, Gareth O.; Rosenthal, Jeffrey S.
17
2008
Stability of the Gibbs sampler for Bayesian hierarchical models. Zbl 1144.65007
Papaspiliopoulos, Omiros; Roberts, Gareth
13
2008
Optimal scaling for random walk Metropolis on spherically constrained target densities. Zbl 1141.60316
Neal, Peter; Roberts, Gareth
13
2008
Exact Monte Carlo simulation of killed diffusions. Zbl 1142.65006
Casella, Bruno; Roberts, Gareth O.
6
2008
Coupling and ergodicity of adaptive Markov chain Monte Carlo algorithms. Zbl 1137.62015
Roberts, Gareth O.; Rosenthal, Jeffrey S.
72
2007
A general framework for the parametrization of hierarchical models. Zbl 1246.62195
Papaspiliopoulos, Omiros; Roberts, Gareth O.; Sköld, Martin
36
2007
Convergence of heavy-tailed Monte Carlo Markov chain algorithms. Zbl 1164.65004
Jarner, Søren F.; Roberts, Gareth
15
2007
Exact and computationally efficient likelihood-based estimation for discretely observed diffusion processes (With discussion). Zbl 1100.62079
Beskos, Alexandros; Papaspiliopoulos, Omiros; Roberts, Gareth O.; Fearnhead, Paul
103
2006
Retrospective exact simulation of diffusion sample paths with applications. Zbl 1129.60073
Beskos, Alexandros; Papaspiliopoulos, Omiros; Roberts, Gareth O.
57
2006
Optimal scaling for partially updating MCMC algorithms. Zbl 1127.60021
Neal, Peter; Roberts, Gareth
19
2006
Harris recurrence of Metropolis-within-Gibbs and trans-dimensional Markov chains. Zbl 1121.60076
Roberts, Gareth O.; Rosenthal, Jeffrey S.
12
2006
Extremal indices, geometric ergodicity of Markov chains and MCMC. Zbl 1142.65011
Roberts, Gareth O.; Rosenthal, Jeffrey S.; Segers, Johan; Sousa, Bruno
7
2006
Bayesian model selection for partially observed diffusion models. Zbl 1436.62407
Dellaportas, Petros; Friel, Nial; Roberts, Gareth O.
2
2006
Exact simulation of diffusions. Zbl 1101.60060
Beskos, Alexandros; Roberts, Gareth O.
76
2005
Subgeometric ergodicity of strong Markov processes. Zbl 1072.60057
Fort, G.; Roberts, G. O.
34
2005
Scaling limits for the transient phase of local Metropolis-Hastings algorithms. Zbl 1075.65012
Christensen, Ole F.; Roberts, Gareth O.; Rosenthal, Jeffrey S.
22
2005
One-shot CFTP; application to a class of truncated Gaussian densities. Zbl 1103.65013
Beskos, A.; Roberts, G. O.
3
2005
General state space Markov chains and MCMC algorithms. Zbl 1189.60131
Roberts, Gareth O.; Rosenthal, Jeffrey S.
138
2004
Bayesian inference for non-Gaussian Ornstein-Uhlenbeck stochastic volatility processes. Zbl 1062.62049
Roberts, Gareth O.; Papaspiliopoulos, Omiros; Dellaportas, Petros
42
2004
Statistical inference and model selection for the 1861 Hagelloch measles epidemic. Zbl 1096.62123
Neal, Peter J.; Roberts, Gareth O.
18
2004
Efficient construction of reversible jump Markov chain Monte Carlo proposal distributions (with discussion). Zbl 1063.62120
Brooks, S. P.; Giudici, P.; Roberts, G. O.
52
2003
On the geometric ergodicity of hybrid samplers. Zbl 1028.65002
Fort, G.; Moulines, E.; Roberts, G. O.; Rosenthal, J. S.
17
2003
Bayesian inference for nondecomposable graphical Gaussian models. Zbl 1192.62090
Dellaportas, Petros; Giudici, Paolo; Roberts, Gareth
10
2003
An introduction to MCMC. Zbl 1035.62083
Dellaportas, Petros; Roberts, Gareth O.
10
2003
Density estimation for the Metropolis-Hastings algorithm. Zbl 1055.65020
Sköld, M.; Roberts, G. O.
5
2003
Polynomial convergence rates of Markov chains. Zbl 1012.60062
Jarner, Søren F.; Roberts, Gareth O.
61
2002
Langevin diffusions and Metropolis-Hastings algorithms. Zbl 1033.65003
Roberts, G. O.; Stramer, O.
42
2002
The polar slice sampler. Zbl 1006.65004
Roberts, Gareth O.; Rosenthal, Jeffrey S.
6
2002
One-shot coupling for certain stochastic recursive sequences. Zbl 1058.60058
Roberts, Gareth O.; Rosenthal, Jeffrey S.
6
2002
Inverse method of images. Zbl 1001.60084
Lo, Violet S. F.; Roberts, Gareth O.; Daniels, Henry E.
4
2002
Optimal scaling for various Metropolis-Hastings algorithms. Zbl 1127.65305
Roberts, Gareth O.; Rosenthal, Jeffrey S.
157
2001
On inference for partially observed nonlinear diffusion models using the Metropolis-Hastings algorithm. Zbl 0985.62066
Roberts, G. O.; Stramer, O.
73
2001
Geometric \(L^2\) and \(L^1\) convergence are equivalent for reversible Markov chains. Zbl 1011.60050
Roberts, Gareth O.; Tweedie, Richard L.
19
2001
Perfect slice samplers. Zbl 0993.65015
Mira, A.; Møller, J.; Roberts, G. O.
18
2001
Markov chains and de-initializing processes. Zbl 0985.60067
Roberts, Gareth O.; Rosenthal, Jeffrey S.
18
2001
Catalytic perfect simulation. Zbl 0999.60069
Breyer, L. A.; Roberts, G. O.
7
2001
Corrigendum to “Bounds on regeneration times and convergence rates for Markov chains”. Zbl 1047.60072
Roberts, G. O.; Tweedie, R. L.
7
2001
Drift by coupling to an anti-integrable limit. Zbl 1075.37522
Easton, R. W.; Meiss, J. D.; Roberts, G.
6
2001
Markov chain Monte Carlo methods for switching diffusion models. Zbl 0984.62060
Liechty, John C.; Roberts, Gareth O.
6
2001
Small and pseudo-small sets for Markov chains. Zbl 0981.60068
Roberts, Gareth O.; Rosenthal, Jeffrey S.
5
2001
A note on geometric ergodicity and floating-point roundoff error. Zbl 0991.60064
Breyer, Laird; Roberts, Gareth O.; Rosenthal, Jeffrey S.
5
2001
Blur-generated non-separable space-time models. Zbl 0957.62081
Brown, Patrick E.; Kåresen, Kjetil F.; Roberts, Gareth O.; Tonellato, Stefano
34
2000
...and 43 more Documents
all top 5

Cited by 2,408 Authors

75 Roberts, Gareth O.
40 Stuart, Andrew M.
36 Rosenthal, Jeffrey S.
27 Jasra, Ajay
24 Beskos, Alexandros
23 Hobert, James P.
23 Moulines, Eric
17 Girolami, Mark A.
15 Fort, Gersende
14 Doucet, Arnaud
14 Marzouk, Youssef M.
14 Neal, Peter J.
13 Jones, Galin L.
12 Papaspiliopoulos, Omiros
12 Pillai, Natesh S.
12 Sherlock, Chris
11 Drovandi, Christopher C.
11 Durmus, Alain
11 Fearnhead, Paul
11 Griffin, Jim E.
11 Vihola, Matti
11 Walker, Stephen Grahm
10 Atchadé, Yves F.
10 Dunson, David Brian
10 Friel, Nial
10 Guillin, Arnaud
10 Kamatani, Kengo
10 Kendall, Wilfrid S.
10 Latuszynski, Krzysztof
10 Miasojedow, Błażej
9 Bédard, Myléne
9 Del Moral, Pierre
9 Douc, Randal
9 Golightly, Andrew
9 Kohn, Robert J.
9 Law, Kody J. H.
9 Nott, David John
8 Bou-Rabee, Nawaf M.
8 Cui, Tiangang
8 Liang, Faming
8 Roy, Vivekananda
8 Stoltz, Gabriel
7 Dunlop, Matthew M.
7 Golomozyĭ, V. V.
7 Iglesias, Marco A.
7 Johansen, Adam M.
7 Khare, Kshitij
7 Mira, Antonietta
7 Ottobre, Michela
7 Thiéry, Alexandre H.
7 Tran, Minh Ngoc
7 van der Meulen, Frank Henri
7 Woodard, Dawn B.
6 Andrieu, Christophe
6 Bierkens, Joris
6 Chopin, Nicolas
6 Deardon, Rob
6 Dellaportas, Petros
6 Hernández-Lerma, Onésimo
6 Huber, Mark L.
6 Hwang, Chii-Ruey
6 Kantas, Nikolas
6 Lelièvre, Tony
6 Li, Jinglai
6 Lin, Guang
6 Mao, Yonghua
6 Mijatović, Aleksandar
6 Papaioannou, Iason
6 Pettitt, Anthony N.
6 Reich, Sebastian
6 Rudolf, Daniel
6 Samson, Adeline
6 Sanz-Serna, Jesús María
6 Sisson, Scott A.
6 Spiliopoulos, Konstantinos V.
6 Teckentrup, Aretha L.
6 Vollmer, Sebastian J.
6 Wikle, Christopher K.
6 Wilkinson, Darren James
5 Akhmatskaya, Elena
5 Bardsley, Johnathan M.
5 Bertail, Patrice
5 Clémençon, Stéphan
5 Crisan, Dan O.
5 Diggle, Peter John
5 Duncan, Andrew B.
5 Everitt, Richard Geoffrey
5 Favaro, Stefano
5 Frühwirth-Schnatter, Sylvia
5 Herbei, Radu
5 Johnson, Alicia A.
5 Jordan, Michael Irwin
5 Karagiannis, Georgios A.
5 Kartashov, Mykola Valentynovych
5 Kypraios, Theodore
5 Leimkuhler, Benedict J.
5 Ma, Chunsheng
5 Maire, Florian
5 McKinley, Trevelyan J.
5 Oates, Chris J.
...and 2,308 more Authors
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Cited in 241 Serials

126 Statistics and Computing
95 Computational Statistics and Data Analysis
64 The Annals of Applied Probability
52 Stochastic Processes and their Applications
50 Bernoulli
49 Statistics & Probability Letters
40 The Annals of Statistics
36 Electronic Journal of Statistics
35 Statistical Science
34 Journal of Computational Physics
34 SIAM/ASA Journal on Uncertainty Quantification
30 Journal of Econometrics
28 Bayesian Analysis
27 Methodology and Computing in Applied Probability
26 SIAM Journal on Scientific Computing
24 Biometrics
24 Journal of the American Statistical Association
22 Scandinavian Journal of Statistics
22 Journal of Applied Probability
21 Advances in Applied Probability
20 Journal of Statistical Planning and Inference
19 The Annals of Applied Statistics
17 Inverse Problems
17 Journal of Statistical Computation and Simulation
16 Journal of Multivariate Analysis
15 Journal of the Royal Statistical Society. Series B. Statistical Methodology
14 Psychometrika
13 The Canadian Journal of Statistics
13 Computational Statistics
13 Communications in Statistics. Simulation and Computation
12 Annals of the Institute of Statistical Mathematics
11 Journal of Statistical Physics
11 Journal of Machine Learning Research (JMLR)
10 Computer Methods in Applied Mechanics and Engineering
10 Mathematical Biosciences
10 Communications in Statistics. Theory and Methods
10 Monte Carlo Methods and Applications
9 Journal of Applied Statistics
9 Extremes
9 Statistical Modelling
8 Journal of Mathematical Biology
8 Insurance Mathematics & Economics
8 Computational Geosciences
7 Theoretical Population Biology
7 European Journal of Operational Research
7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
7 Theory of Probability and Mathematical Statistics
7 Electronic Journal of Probability
7 Brazilian Journal of Probability and Statistics
7 Quantitative Finance
7 Multiscale Modeling & Simulation
7 SIAM Journal on Imaging Sciences
7 Stochastic and Partial Differential Equations. Analysis and Computations
6 Journal of Mathematical Analysis and Applications
6 The Annals of Probability
6 Physica D
6 Queueing Systems
6 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
6 Statistical Applications in Genetics and Molecular Biology
6 Inverse Problems and Imaging
6 Journal of Theoretical Biology
5 Journal of Computational and Applied Mathematics
5 Mathematics of Operations Research
5 Operations Research
5 Journal of Time Series Analysis
5 Probability Theory and Related Fields
5 Journal of Theoretical Probability
5 Neural Computation
5 Applied Mathematical Modelling
5 Acta Mathematica Sinica. English Series
5 Stochastic Environmental Research and Risk Assessment
5 Econometric Theory
5 Stochastic Models
5 Statistical Methods and Applications
5 Journal of Statistical Mechanics: Theory and Experiment
5 Frontiers of Mathematics in China
4 Bulletin of Mathematical Biology
4 Automatica
4 Transactions of the American Mathematical Society
4 Stochastic Analysis and Applications
4 The Econometrics Journal
4 Communications in Nonlinear Science and Numerical Simulation
4 North American Actuarial Journal
4 Inverse Problems in Science and Engineering
4 AStA. Advances in Statistical Analysis
4 Statistics Surveys
4 Science China. Mathematics
4 Journal of Agricultural, Biological, and Environmental Statistics
4 Journal of Probability and Statistics
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Biometrical Journal
3 Journal of Mathematical Psychology
3 Numerische Mathematik
3 SIAM Journal on Numerical Analysis
3 Journal of Complexity
3 International Journal of Approximate Reasoning
3 Annals of Operations Research
3 Linear Algebra and its Applications
3 SIAM Journal on Applied Mathematics
3 SIAM Review
...and 141 more Serials
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Cited in 43 Fields

1,020 Statistics (62-XX)
786 Probability theory and stochastic processes (60-XX)
724 Numerical analysis (65-XX)
112 Biology and other natural sciences (92-XX)
108 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
76 Computer science (68-XX)
65 Partial differential equations (35-XX)
51 Dynamical systems and ergodic theory (37-XX)
47 Statistical mechanics, structure of matter (82-XX)
39 Operations research, mathematical programming (90-XX)
35 Systems theory; control (93-XX)
28 Geophysics (86-XX)
25 Operator theory (47-XX)
19 Information and communication theory, circuits (94-XX)
18 Fluid mechanics (76-XX)
14 Ordinary differential equations (34-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
13 Combinatorics (05-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
6 History and biography (01-XX)
6 Optics, electromagnetic theory (78-XX)
5 Integral equations (45-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Mechanics of particles and systems (70-XX)
5 Mechanics of deformable solids (74-XX)
4 Number theory (11-XX)
4 Approximations and expansions (41-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Quantum theory (81-XX)
3 Measure and integration (28-XX)
2 Real functions (26-XX)
2 Potential theory (31-XX)
2 Difference and functional equations (39-XX)
2 Abstract harmonic analysis (43-XX)
2 Functional analysis (46-XX)
2 Differential geometry (53-XX)
2 Astronomy and astrophysics (85-XX)
1 General and overarching topics; collections (00-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Algebraic topology (55-XX)
1 Relativity and gravitational theory (83-XX)

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