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Number of items: 91.
Pollicott, Mark and Sharp, Richard (2024) Zeta functions in higher Teichmuller theory. Mathematische Zeitschrift, 306 . 37. doi:10.1007/s00209-024-03437-4 ISSN 0025-5874.
Pollicott, Mark and Sharp, Richard (2024) Zeta functions in higher TeichmΓΌller theory. Mathematische Zeitschrift, 306 (3). 37. doi:10.1007/s00209-024-03437-4 ISSN 1432-1823.
Pollicott, Mark (2024) Maximizing measures for Bernoulli measures and the Gauss map. Proceedings of the American Mathematical Society . ISSN 0002-9939. (In Press)
Pollicott, Mark and Vytnova, Polina (2023) Accurate bounds on Lyapunov exponents for expanding maps of the interval. Communications in Mathematical Physics, 397 . pp. 485-502. doi:10.1007/s00220-022-04495-7 ISSN 0010-3616.
Pollicott, Mark and Sewell, Benedict (2023) Explicit examples of resonances for Anosov maps of the torus. Nonlinearity, 36 (1). pp. 110-132. doi:10.1088/1361-6544/ac9a2e ISSN 0951-7715.
Pollicott, Mark and Vytnova, Polina (2022) Hausdorff dimension estimates applied to Lagrange and Markov spectra, Zaremba theory, and limit sets of Fuchsian groups. Transactions of the American Mathematical Society, 9 . pp. 1102-1159. doi:10.1090/btran/109 ISSN 0002-9947.
Matheus, Carlos, Moreira, Carlos Gustavo, Pollicott, Mark and Vytnova, Polina (2022) Hausdorff dimension of GaussβCantor sets and two applications to classical Lagrange and Markov spectra. Advances in Mathematics, 409 (Pt B). 108693. doi:10.1016/j.aim.2022.108693 ISSN 0001-8708.
Pollicott, Mark and Cantrell, Stephen (2022) Comparison theorems for closed geodesics on negatively curved surfaces. Groups, Geometry and Dynamics, 16 (2). pp. 461-491. doi:10.4171/ggd/671 ISSN 1661-7207.
Pollicott, Mark and Vytnova, Polina (2022) Groups, drift and harmonic measures. In: Morel, J. M. and Teissier, B., (eds.) Mathematics Going Forward. Lecture Notes in Mathematics, 2313 . Cham: Springer, pp. 301-311. ISBN 9783031122439
Parmenter, David and Pollicott, Mark (2022) Gibbs measures for hyperbolic attractors defined by densities. Discrete and Continuous Dynamical Systems. Series A, 42 (8). pp. 3953-3977. doi:10.3934/dcds.2022038 ISSN 1078-0947.
Kleptsyn, V., Pollicott, Mark and Vytnova, Polina (2022) Uniform lower bounds on the dimension of Bernoulli convolutions. Advances in Mathematics, 395 . 108090. doi:10.1016/j.aim.2021.108090 ISSN 0001-8708.
Colognese, Paul and Pollicott, Mark (2022) Minimizing entropy for translation surfaces. Conformal Geometry and Dynamics, 26 (6). pp. 97-110. doi:10.1090/ecgd/374 ISSN 1088-4173.
Pollicott, Mark (2021) Effective estimates of Lyapunov exponents for random products of positive matrices. Nonlinearity, 34 (10). pp. 6705-6718. doi:10.1088/1361-6544/ac15ac ISSN 1361-6544.
Jenkinson, O., Pollicott, Mark and Vytnova, Polina (2021) How many inflections are there in the Lyapunov spectrum? Communications in Mathematical Physics, 386 (3). pp. 1383-1411. doi:10.1007/s00220-021-04161-4 ISSN 0010-3616.
Pollicott, Mark and Urbanski, Mariuski (2021) Asymptotic counting in conformal dynamical systems. Memoirs of the American Mathematical Society, 271 (1327). doi:10.1090/memo/1327 ISSN 0065-9266.
Pollicott, Mark (2021) The SchottkyβKlein prime function and counting functions for Fenchel double crosses. Monatshefte fur Mathematik, 195 (2). pp. 323-342. doi:10.1007/s00605-021-01547-3 ISSN 0026-9255.
Pollicott, Mark (2021) Fourier multipliers and transfer operators. Journal of Fractal Geometry, 8 (2). pp. 189-199. doi:10.4171/jfg/103 ISSN 2308-1309.
Pollicott, Mark and Sharp, Richard (2021) Higher TeichmΓΌller theory for surface groups and shifts of finite type. In: Pollicott, M. and Vaienti, S., (eds.) Thermodynamic Formalism. Lecture Notes in Mathematics, 2290 . Cham: Springer, pp. 395-418. ISBN 9783030748623
Aimino, Romain and Pollicott, Mark (2021) Statistical properties of the Rauzy-Veech-Zorich map. In: Thermodynamic Formalism. Lecture Notes in Mathematics, 2290 . Cham: Springer, pp. 317-349. ISBN 9783030748623
Pollicott, Mark (2020) Dynamical zeta functions and the distribution of orbits. In: Ji, Lizhen and Papadopoulos, Athanase and Yau, Shing-Tung, (eds.) Handbook of Group Actions V. Advanced Lectures in Mathematics, 48 (V). Massachusetts : International Press of Boston. ISBN 9781571463906
Jenkinson, Oliver and Pollicott, Mark (2020) Rigorous dimension estimates for Cantor sets arising in Zaremba theory. In: Moree, Pieter and Pohl, Anke and Snoha, LβubomΓr and Ward, Tom, (eds.) Dynamics : topology and numbers. Contemporary Mathematics, 744 . Providence, Rhode Island: American Mathematical Society, pp. 83-107. ISBN 9781470451004
Colognese, Paul and Pollicott, Mark (2020) Volume growth for infinite graphs and translation surfaces. In: Moree, Pieter and Pohl, Anke and Snoha, LβubomΓr and Ward, Tom, (eds.) Dynamics : topology and numbers. Contemporary Mathematics, 744 . Providence, Rhode Island: American Mathematical Society. ISBN 9781470451004
Pollicott, Mark and Vytnova, Polina (2019) Zeros of the Selberg zeta function for symmetric infinite area hyperbolic surfaces. Geometriae Dedicata, 201 . pp. 155-186. doi:10.1007/s10711-018-0386-6 ISSN 0046-5755.
Johansson, Anders, Oberg, Anders and Pollicott, Mark (2019) Phase transitions in long-range Ising models and an optimal condition for factors of g-measures. Ergodic Theory and Dynamical Systems, 39 (5). pp. 1317-1330. doi:10.1017/etds.2017.66 ISSN 0143-3857.
Jenkinson, Oliver and Pollicott, Mark (2018) Joint spectral radius, Sturmian measures and the finiteness conjecture. Ergodic Theory and Dynamical Systems, 38 (8). pp. 3062-3100. doi:10.1017/etds.2017.18 ISSN 0143-3857.
Pollicott, Mark (2018) Appolonius circle counting. LMS Newsletter, 478 . ISSN 2516-3841.
Cipriano, Italo Umberto and Pollicott, Mark (2018) Stationary measures associated to analytic iterated function schemes. Mathematische Nachrichten, 291 (7). pp. 1049-1054. doi:10.1002/mana.201600127 ISSN 0025-584X.
Pollicott, Mark and Jenkinson, Oliver (2018) Rigorous effective bounds on the Hausdorff dimension of continued fraction Cantor sets : a hundred decimal digits for the dimension of E2. Advances in Mathematics, 325 . pp. 87-115. doi:10.1016/j.aim.2017.11.028 ISSN 0001-8708.
Pollicott, Mark, Jenkinson, Oliver and Vytnova, Polina (2018) Rigorous computation of diffusion coefficients for expanding maps. Journal of Statistical Physics, 170 (2). pp. 221-253. doi:10.1007/s10955-017-1930-8 ISSN 0022-4715.
Pollicott, Mark (2018) Hyperbolic systems, zeta functions and other friends. Dynamical Systems : Simons Semester in Banach Center, 2015, 115 . pp. 145-182. doi:10.4064/bc115-5
Pollicott, Mark and Vytnova, Polina (2017) Critical points for the Hausdorff Dimension of pairs of pants. Groups, Geometry and Dynamics, 11 (4). pp. 1497-1519. doi:10.4171/GGD/436 ISSN 1661-7207.
Pollicott, Mark (2017) Amenable covers for surfaces and growth of closed geodesics. Advances in Mathematics, 319 . pp. 599-609. doi:10.1016/j.aim.2017.08.020 ISSN 0001-8708.
Pollicott, Mark and Urbanski, Mariuski (2017) Open conformal systems and perturbations of transfer operators. Lecture Notes in Mathematics . Cham : Springer International Publishing AG. ISBN 9783319721798
Galatolo, Stefano and Pollicott, Mark (2017) Controlling the statistical properties of expanding maps. Nonlinearity, 30 . 2737. ISSN 0951-7715.
Pollicott, Mark (2017) A note on the shrinking sector problem for surfaces of variable negative curvature. Steklov Institute of Mathematics. Proceedings, 297 (1). pp. 254-263. ISSN 0081-5438.
Pollicott, Mark (2017) A nonlinear transfer operator theorem. Journal of Statistical Physics, 166 (3). pp. 516-524. doi:10.1007/s10955-016-1646-1 ISSN 0022-4715.
Pollicott, Mark and UrbaΕski, Mariusz (2017) Applications : Escape Rates for Multimodal Maps and One-Dimensional Complex Dynamics. In: Open Conformal Systems and Perturbations of Transfer Operators. Cham Springer, pp. 147-187. ISBN 9783319721781
Pollicott, Mark and UrbaΕski, Mariusz (2017) Escape Rates for Conformal GDMSs and IFSs. In: Open Conformal Systems and Perturbations of Transfer Operators. Cham Springer, pp. 87-145. ISBN 9783319721781
Pollicott, Mark and UrbaΕski, Mariusz (2017) The Keller-Liverani Perturbation Theorem. In: Open Conformal Systems and Perturbations of Transfer Operators. Lecture Notes in Mathematics, 2206 . Cham Springer, 189-193 .
Pollicott, Mark and UrbaΕski, Mariusz (2017) Singular Perturbations of Classical Original PerronβFrobenius Operators on Countable Alphabet Symbol Spaces. In: Open Conformal Systems and Perturbations of Transfer Operators. Cham Springer, pp. 19-51. ISBN 9783319721781
Pollicott, Mark and UrbaΕski, Mariusz (2017) Symbol Escape Rates and the Survivor Set K(Un). In: Open Conformal Systems and Perturbations of Transfer Operators. Cham Springer, pp. 53-85. ISBN 9783319721781
Pollicott, Mark and Vytnova, Polina (2016) Linear response and periodic points. Nonlinearity, 29 (10). ISSN 0951-7715.
Pollicott, Mark and Sharp, Richard (2016) WeilβPetersson metrics, Manhattan curves and Hausdorff dimension. Mathematische Zeitschrift, 282 (3-4). pp. 1007-1016. doi:10.1007/s00209-015-1575-8 ISSN 0025-5874.
Kagiso, Dintle Nelson and Pollicott, Mark (2015) Computing multifractal spectra. Dynamical Systems, 30 (4). pp. 404-425. doi:10.1080/14689367.2015.1062977 ISSN 1468-9367.
Pollicott, Mark and Vytnova, Polina (2015) Estimating singularity dimension. Mathematical Proceedings of the Cambridge Philosophical Society, 158 (2). pp. 223-238. doi:10.1017/S030500411400053X ISSN 0305-0041.
Pollicott, M. (2015) Analyticity of dimensions for hyperbolic surface diffeomorphisms. Proceedings of the American Mathematical Society, 143 (8). pp. 3465-3474. doi:10.1090/proc/12477 ISSN 0002-9939.
Paulin, FrΓ©dΓ©ric, Pollicott, Mark and Schapira, Barbara (2015) Equilibrium states in negative curvature. Asterisque, 373 . doi:10.24033/ast.975 ISSN 0303-1179.
Pollicott, Mark and Sharp, Richard (2014) A WeilβPetersson type metric on spaces of metric graphs. Geometriae Dedicata, Volume 172 (Number 1). pp. 229-244. doi:10.1007/s10711-013-9918-2 ISSN 0046-5755.
Pollicott, Mark and Felton, Philip (2014) Estimating Mahler measures using periodic points for the doubling map. Indagationes Mathematicae, Volume 25 (Number 4). pp. 619-631. doi:10.1016/j.indag.2014.04.002 ISSN 00193577.
Pollicott, Mark (2014) Zeta function for Anosov Flows. In: International Congress of Mathematicians (ICM 2014), Korea, 13-21 Aug 2014. Published in: Proceedings of the International Congress of Mathematicians : Seoul 2014, 3 pp. 661-681. ISBN 9788961058032 .
Giulietti, Paolo, Liverani, Carlangelo and Pollicott, Mark (2013) Anosov flows and dynamical Zeta functions. Annals of Mathematics, 178 (2). 687-773 . doi:10.4007/annals.2013.178.2.6 ISSN 0003-486X.
Pollicott, Mark and Sharp, Richard (2013) Correlations of length spectra for negatively curved manifolds. Communications in Mathematical Physics, Volume 319 (Number 2). pp. 515-533. doi:10.1007/s00220-012-1644-3 ISSN 0010-3616.
MagalhΓ£es, M. L. S. and Pollicott, Mark (2013) Geometry and dynamics of planar linkages. Communications in Mathematical Physics, Volume 317 (Number 3). pp. 615-634. doi:10.1007/s00220-012-1521-0 ISSN 0010-3616.
Pollicott, Mark and Sharp, Richard (2012) Ergodic theorems for actions of hyperbolic groups. Proceedings of the American Mathematical Society, 141 (5). pp. 1749-1757. doi:10.1090/S0002-9939-2012-11447-9 ISSN 0002-9939.
Ferguson, Andrew and Pollicott, Mark (2012) Escape rates for Gibbs measures. Ergodic Theory and Dynamical Systems, Volume 32 (Number 3). pp. 961-988. doi:10.1017/S0143385711000058 ISSN 0143-3857.
Pollicott, Mark, Wang, Hao and Weiss, Howard (2012) Extracting the time-dependent transmission rate from infection data via solution of an inverse ODE problem. Journal of Biological Dynamics, Vol.6 (No.2). pp. 509-523. doi:10.1080/17513758.2011.645510 ISSN 1751-3758.
BΓ‘rΓ‘ny, B., Pollicott, Mark and Simon, K. (2012) Stationary measures for projective transformations : the Blackwell and Furstenberg measures. Journal of Statistical Physics, Vol.148 (No.3). pp. 393-421. doi:10.1007/s10955-012-0541-7 ISSN 0022-4715.
Johannson, Anders, Γberg, Anders and Pollicott, Mark (2012) Unique Bernoulli g-measures. Journal of the European Mathematical Society, Vol.14 (No.5). pp. 1599-1615. doi:10.4171/JEMS/342 ISSN 1435-9855.
Pollicott, Mark (2012) A note on the growth of periodic points for commuting toral automorphisms. ISRN Geometry, Vol.2012 . Article no. 165808. doi:10.5402/2012/165808 ISSN 2090-6315.
Pollicott, Mark (2011) Computing entropy rates for hidden Markov processes. In: Marcus, Brian and Petersen, Karl and Weissman, Tsachy, (eds.) Entropy of hidden Markov processes and connections to dynamical systems : papers from the Banff International Research Station workshop. London Mathematical Society lecture note series . Cambridge, UK ; New York : Cambridge University Press, pp. 223-245. ISBN 9780521111133
Pollicott, Mark and Kempton, Thomas (2011) Factors of Gibbs measures for full shifts. In: Marcus, Brian and Petersen, Karl and Weissman, Tsachy, (eds.) Entropy of hidden Markov processes and connections to dynamical systems : papers from the Banff International Research Station workshop. London Mathematical Society lecture note series . Cambridge, UK ; New York : Cambridge University Press, pp. 246-257. ISBN 9780521111133
Pollicott, Mark and Sharp, Richard (2011) On the HannayβOzorio De Almeida sum formula. In: Peixoto, Mauricio Matos and Pinto, Alberto Adrego and Rand, D. A. (David A.), (eds.) Dynamics, Games and Science II. Springer Proceedings in Mathematics, Vol.2 . Berlin ; Heidelberg: Springer, pp. 575-590. ISBN 9783642147876
Pollicott, Mark (2010) Maximal Lyapunov exponents for random matrix products. Inventiones Mathematicae, Vol.181 (No.1). pp. 209-226. doi:10.1007/s00222-010-0246-y ISSN 0020-9910.
Johansson, Anders, Jordan, Thomas M., Oberg, Anders and Pollicott, Mark (2010) Multifractal analysis of non-uniformly hyperbolic systems. Israel Journal of Mathematics, Vol.177 (No.1). pp. 125-144. doi:10.1007/s11856-010-0040-y ISSN 0021-2172.
Pollicott, Mark, Weiss, Howard and Wolpert, Scott A. (2010) Topological dynamics of the WeilβPetersson geodesic flow. Advances in Mathematics, Vol.223 (No.4). pp. 1225-1235. doi:10.1016/j.aim.2009.09.011 ISSN 0001-8708.
Pollicott, Mark (2010) Asymptotic vertex growth for graphs. In: Workshop on Spectrum and Dynamics, Ctr Rech Math, Montreal, Canada, April 07-11, 2008. Published in: Spectrum and Dynamics: Proceedings of the Workshop Held in Montreal, QC, April 7-11, 2008, Vol.52 pp. 137-145. ISBN 978-0-8218-4778-7.
Pollicott, Mark (2010) Dynamical zeta functions. Integers : electronic journal of combinatorial number theory, Vol.11B . Article no. A11. ISSN 1553-1732.
Pollicott, Mark (2010) Rates of convergence for linear actions of cocompact lattices on the complex plane. Integers : electronic journal of combinatorial number theory, Vol.11B . Article no. A12. ISSN 1553-1732.
Pollicott, Mark and Sharp, Richard (2010) Statistics of matrix products in hyperbolic geometry. In: International Conference on Dynamical Numbers: Interplay Between Dynamical systems and Number Theory, Max Planck Inst, Bonn, Germany, 20-24 Jun 2009 . Published in: Dynamical Numbers: Interplay Between Dynamical Systems and Number Theory , Volume 532 pp. 213-230. ISSN 0271-4132.
Pollicott, Mark and Weiss, Howard (2009) Ergodicity of the geodesic flow on non-complete negatively curved surfaces. Asian Journal of Mathematics, Vol.13 (No.3). pp. 405-419. ISSN 1093-6106.
Pollicott, Mark and Sharp, Richard (2009) Large deviations for intermittent maps. Nonlinearity, Vol.22 (No.9). pp. 2079-2092. doi:10.1088/0951-7715/22/9/001 ISSN 0951-7715.
Pollicott, Mark and Sharp, Richard (2009) Large deviations, fluctuations and shrinking intervals. Communications in Mathematical Physics, Vol.290 (No.1). pp. 321-334. doi:10.1007/s00220-008-0725-9 ISSN 0010-3616.
Pollicott, Mark (2009) Limiting distributions for geodesics excursions on the modular surface. In: International Conference on Spectral Analysis in Gerometry and Number Theory held in Honor of Toshikazu Sunada, Nagoya Univ, Nagoya, Japan, August 06-10, 2007. Published in: Contemporary Mathematics, Vol.484 pp. 177-185. ISBN 978-0-8218-4269-0. doi:10.1090/conm/484 ISSN 0271-4132.
Pollicott, Mark (2009) Normal points for generic hyperbolic maps. In: International Conference on Dynamical Systems held in honor of Michal Misurewicz, Polish Acad Sci, Inst Math, Bedlewo, Poland, 2008. Published in: Fundamenta Mathematicae, Vol.206 pp. 271-280. doi:10.4064/fm206-0-15 ISSN 0016-2736.
Jordan, Thomas, Kesseboehmer, Marc, Pollicott, Mark and Stratmann, Bernd O. (2009) Sets of nondifferentiability for conjugacies between expanding interval maps. In: International Conference on Dynamical Systems held in honor of Michal Misurewicz, Polish Acad Sci, Inst Math, Bedlewo, Poland, 2008. Published in: Fundamenta Mathematicae, Vol.206 pp. 161-183. doi:10.4064/fm206-0-10 ISSN 0016-2736.
Jordan, T. (Thomas) and Pollicott, Mark (2008) The Hausdorff dimension of measures for iterated function systems which contract on average. Discrete and Continuous Dynamical Systems, Vol.22 (No.1-2). pp. 235-246. doi:10.3934/dcds.2008.22.235 ISSN 1078-0947.
Pollicott, Mark and Weiss, Howard (2008) How smooth is your wavelet? Wavelet regularity via thermodynamic formalism. Communications in Mathematical Physics, Volume 281 (Number 1). pp. 1-21. doi:10.1007/s00220-008-0457-x ISSN 0010-3616.
Pollicott, Mark and Sharp, Richard (2008) Addendum: an analogue of Artin reciprocity for closed orbits of skew products. Ergodic Theory and Dynamical Systems, Vol.28 (No.2). pp. 547-552. doi:10.1017/S0143385707000569 ISSN 0143-3857.
Parry, William and Pollicott, Mark (2008) An analogue of Bauerβs theorem for closed orbits of skew products. Ergodic Theory and Dynamical Systems, Vol.28 (No.2). pp. 535-546. doi:10.1017/S0143385707000557 ISSN 0143-3857.
Pollicott, Mark, Sharp, Richard, Tuncel, S. and Walters, Peter (2008) The mathematical research of William Parry FRS. Ergodic Theory and Dynamical Systems, Vol.28 (No.2). pp. 321-337. doi:10.1017/S0143385708000102 ISSN 0143-3857.
Burns, Keith, Dolgopyat, Dmitry, Pesin, Yakov and Pollicott, Mark (2008) Stable ergodicity for partially hyperbolic attractors with negative central exponents. Journal of Modern Dynamics, Vol.2 (No.1). pp. 63-81. ISSN 1930-5311.
Pollicott, Mark and Sharp, Richard (2008) Periodic orbits and holonomy for hyperbolic flows. In: Workshop on Dynamical Systems and Related Topics, Univ Maryland, College Pk, MD, Mar 15-18, 2008. Published in: Contemporary Mathematics, Volume 469 pp. 289-302. ISBN 978-0-8218-4286-7. ISSN 0271-4132.
Johansson, Anders, Oberg, Anders and Pollicott, Mark (2007) Countable state shifts and uniqueness of g-measures. American Journal of Mathematics, Vol.129 (No.6). pp. 1501-1511. doi:10.1353/ajm.2007.0044 ISSN 0002-9327.
Jordan, T. and Pollicott, Mark (2007) Multifractal analysis and the variance of Gibbs measures. Journal of the London Mathematical Society, Vol.76 (No.1). pp. 57-72. doi:10.1112/jlms/jdm023 ISSN 0024-6107.
Pollicott, Mark and Sharp, Richard (2007) Pseudo-Anosov foliations on periodic surfaces. Topology and its Applications, Vol.154 (No.12). pp. 2365-2375. doi:10.1016/j.topol.2007.01.021 ISSN 0166-8641.
Jordan, Thomas, Pollicott, Mark and Simon, Karoly (2007) Hausdorff dimension for randomly perturbed self affine attractors. Communications in Mathematical Physics, Vol.270 (No.2). pp. 519-544. doi:10.1007/s00220-006-0161-7 ISSN 0010-3616.
Nair, R and Pollicott, Mark (2007) Pair correlations of sequences in higher dimensions. Israel Journal of Mathematics, Volume 157 (Number 1). pp. 219-238. doi:10.1007/s11856-006-0009-z ISSN 0021-2172.
Pollicott, Mark and Sharp, Richard (2007) Chebotarev-type theorems in homology classes. Proceedings of the American Mathematical Society, Vol.135 (No.12). pp. 3887-3894. doi:10.1090/S0002-9939-07-08923-X ISSN 0002-9939.
Pollicott, Mark (2007) Distribution of orbits for Mobius groups. In: Forni, G. and Lyubich, M. and Pugh, C. and Shub, M., (eds.) Partially Hyperbolic Dynamics, Laminations, and Teichmuller Flow. Fields Institute Communications, Volume 51 . American Mathematical Society, pp. 329-339. ISBN 9780821842744
CsoΜrnyei, M., Jordan, Thomas, Pollicott, Mark, Preiss, David and Solomyak, B. (2006) Positive-measure self-similar sets without interior. Ergodic Theory and Dynamical Systems, Vol.26 (No.3). pp. 755-758. doi:10.1017/S0143385705000702 ISSN 0143-3857.
Jordan, Thomas and Pollicott, Mark (2006) Properties of measures supported on fat Sierpinski carpets. Ergodic Theory and Dynamical Systems, Vol.26 (No.3). pp. 739-754. doi:10.1017/S0143385705000696 ISSN 0143-3857.
This list was generated on Wed Apr 24 17:29:44 2024 BST.