Ralph Kenna - Publications

### Edited books

R. Kenna, M. MacCarron and P. MacCarron (eds.), Maths Meets Myths: Quantitative Approaches to Ancient Narratives, Understanding Complex Systems, DOI 10.1007/978-3-319-39445-9_3

### Submitted papers

109 Joseph Yose, Ralph Kenna, Máirín MacCarron and Pádraig MacCarron, Network Analysis of the Viking Age in Ireland as portrayed in Cogadh Gaedhel re Gallaibh, to be submitted to RSOS in July 2017.
108 Olesya Mryglod, Bertrand Berche, Yurij Holovatch and Ralph Kenna, Complex-network approach for visualizing and quantifying the evolution of a scientific topic, submitted in July 2017 for the book Information Visualization Techniques in the Social Sciences and Humanities''.
107 Ralph Kenna, Pádraig MacCarron and Denis Casey, Comparative Network Analysis of the Táin Bó Cúailnge, submitted to Ulidia in May 2017.
106 Armen Poghosyan, Nickolay Izmailian and Ralph Kenna, Exact solution of the critical Ising model with special toroidal boundary conditions, submitted to PRE on 08 August 2017.

### Published papers

105 Petro Sarkanych, Yurij Holovatch and Ralph Kenna, Exact solution of a classical short-range spin model with a phase transition in one dimension: the Potts model with invisible states, Physics Letters A 381 (2017) 3589-3593. https://doi.org/10.1016/j.physleta.2017.08.063 (*** selected by PLA as a "noteworthy article" **).
104 Thomas Ising, Reinhard Folk, Ralph Kenna, Bertrand Berche, Yurij Holovatch The Fate of Ernst Ising and the Fate of his Model, in Ising Lectures in Lviv (1997-2017)'' , by Mariana Krasnytska, Robin de Regt, Petro Sarkanych (Editors), Lviv, ICMP, 2017, published online in June 2017 and in hard copy format in September 2017. Also accepted for parallel publication in the Journal of Physical Studies(2017).
103 Ralph Kenna and Bertrand Berche Universal Finite-Size Scaling for Percolation Theory in High Dimensions, J. Phys. A 50 (2017) 235001. https://doi.org/10.1088/1751-8121/aa6bd5 (***featured in News and Views from the Journal of Physics Series **).
102 Ralph Kenna, Olesya Mryglod and Bertrand Berche A Scientists' View of Scientometrics: Not everything that Counts can be Counted, Condensed Matter Physics 20 (2017) 13803 (- special issue: Festschrift for Yurij Holovatch). DOI:10.5488/CMP.20.13803
101 R.S. MacKay, S. Parker, R. Low and R. Kenna Calibration with confidence: a principled method for panel assessment, R. Soc. open sci. (2017) 4 160760; DOI: 10.1098/rsos.160760. Published 8 February 2017 (***featured in Times Higher Education **).
100 Ralph Kenna and Pádraig MacCarron Social Networks of the Íslendinga sögur, prepared for the book Nordic Elites in Transformation, c. 1050-1250 Vol. 2. Strategies and Social Networks (Ed. by H.J Orning, K. Esmark &L. Hermanson). Submitted on 09.08.2016.
99 Yurij Holovatch, Ralph Kenna, and Stefan Thurner Complex systems: physics beyond physics, European Journal of Physics 38 (2017) Issue Number 2, 023002. https://doi.org/10.1088/1361-6404/aa5a87
98 E.J. Flores-Sola, M. Weigel, R. Kenna, B. Berche, Cluster Monte Carlo and dynamical scaling for long-range interactions, The European Physical Journal Special Topics 226 (2017) 581-594. DOI: 10.1140/epjst/e2016-60338-3
97 Petro Sarkanych, Yurij Holovatch, Ralph Kenna, and Pádraig MacCarron, Universality and Network Analysis of Bylyny - Heroic East Slavic Epic Narratives, Journal of Physical Studies 20 (2016) 4801 (18 p.)
96 Ralph Kenna and Pádraig MacCarron, A Networks Approach to Mythological Epics, in ''Maths Meets Myths: Quantitative Approaches to Ancient Narratives, Understanding Complex Systems'', ed. by R. Kenna, M. MacCarron & P. MacCarron (Springer International Publishing Switzerland, 2017) pages 21-43. DOI: 10.1007/978-3-319-39445-9
95 Joseph Yose, Ralph Kenna, Pádraig MacCarron, Thierry Platini and Justin Tonra, A Networks-Science Investigation into the Epic Poems of Ossian, Advances in Complex Systems 19 (2016) 1650008. DOI: 10.1142/S0219525916500089. (***Number 2 on list of most read papers for 2016**.)
94 Sandra D. Prado, Silvio R. Dahmen, Ana L.C. Bazzan, Pádraig Mac Carron and Ralph Kenna Temporal Network Analysis of Literary Texts, Advances in Complex Systems 19 (2016) 1650005. DOI: http://dx.doi.org/10.1142/S0219525916500053.
93 Mariana Krasnytska, Petro Sarkanych, Bertrand Berche, Yurij Holovatch and Ralph Kenna, Marginal dimensions of the Potts model with invisible states, J. Phys. A: Math. Theor. 49 (2016) 255001
92 E.J. Flores-Sola, B. Berche, R. Kenna, M. Weigel Role of Fourier modes in finite-size scaling above the upper critical dimension, Phys. Rev. Lett. 116 (2016) 115701 (DOI: http://dx.doi.org/10.1103/PhysRevLett.116.115701)
91 R. Kenna and P. Mac Carron, Maths Meets Myths: Network Investigations of Ancient Narratives, J. Phys.: Conf. Ser. 681 (2016) 012002 (doi:10.1088/1742-6596/681/1/012002).
90 B. Berche, Yu. Holovatch, R. Kenna and O. Mryglod, Academic research groups: evaluation of their quality and quality of their evaluation, J. Phys.: Conf. Ser. 681 (2016) 012004 (doi:10.1088/1742-6596/681/1/012004).
89 M. Krasnytska, B. Berche, Yu. Holovatch and R. Kenna, On the discontinuity of the specific heat of the Ising model on a scale-free network, Condensed Matter Physics 18 (2015) 44601: 1-4 (DOI: 10.5488/CMP.18.44601).
88 M. Krasnytska, B. Berche, Yu. Holovatch and R. Kenna, Partition function zeros for the Ising model on complete graphs and on annealed scale-free networks, J. Phys. A: Math. Theor. 49 (2016) 135001 (DOI: http://dx.doi.org/10.1088/1751-8113/49/13/135001) (***selected for PUBLISHER'S PICK**.)
87 O. Mryglod, Yu. Holovatch, R. Kenna and B. Berche, Quantifying evolution of a topic in science: reaction of the academic community on Chornobyl disaster, Scientometrics 106 (2016) 1151-1166 (DOI = 10.1007/s11192-015-1820-2).
86 Armen Poghosyan, Ralph Kenna and Nickolay Izmailian, The critical Ising model on a torus with a defect line, EPL 111 (2015) 60010.
85 M. Krasnytska, B. Berche, Yu. Holovatch and R. Kenna, Violation of Lee-Yang Circle Theorem for Ising phase transitions on complex networks, EPL 111 (2015) 60009.
84 V.V. Hovhannisyan, N.S. Ananikian and R. Kenna, Partition function zeros and magnetization plateaus of the spin-1 Ising-Heisenberg model on a diamond chain, in press at Physica A, (DOI - 10.1016/j.physa.2016.02.047).
83 Nikolay Sh. Izmailyan, Chin-Kun Hu and Ralph Kenna, Exact solution of the dimer model on the generalized finite checkerboard lattice, Phys. Rev. E 91 (2015) 062139.
82 John W. Essam, Nikolay Sh. Izmailyan, Ralph Kenna and Zhi-Zhong Tan, Comparison of methods to determine point-to-point resistance in nearly rectangular network with application to a hammock network, R. Soc. Open Sci 2 (2015) 140420. (DOI: 10.1098/rsos.140420.)
81 Olesya Mryglod, Ralph Kenna, Yurij Holovatch and Bertrand Berche, Predicting Results of the Research Excellence Framework using departmental h-Index - Revisited, Scientometrics 104 (2015) 1013-1017. (DOI: 10.1007/s11192-015-1567-9.)
80 Olesya Mryglod, Ralph Kenna, Yurij Holovatch and Bertrand Berche, Predicting Results of the Research Excellence Framework using departmental h-Index, Scientometrics 102 (2015) 2165-2180 (DOI:10.1007/s11192-014-1512-3).
79 N.Sh. Izmailian and R. Kenna, Exact finite-size corrections for the spanning-tree model under different boundary conditions, Physical Review E Vol.91 (2015) 022129. (DOI 10.1103/PhysRevE.91.022129.)
78 R. Kenna and B. Berche, Scaling and Finite-Size Scaling above the Upper Critical Dimension,
invited contribution to "Order, Disorder, and Criticality: Advanced Problems of Phase Transition Theory", Yu. Holovatch (editor). vol. 4 World Scientific, Singapore, 2015 (ISBN: 978-981-4632-67-6 [hardcover)].

77 E.J. Flores-Sola, B. Berche, R. Kenna, M. Weigel, Finite-size scaling above the upper critical dimension in Ising models with long-range interactions, Eur. Phys. J. B 88 (2015) 28. [8 pages] (DOI: 10.1140/epjb/e2014-50683-1)
76 O. Mryglod, R. Kenna and Yu. Holovatch, Is your EPL attractive? Classification of publications through download dynamics, EPL 108 (2014) 50011. (DOI: 10.1209/0295-5075/108/50011 .)
75 N.Sh. Izmailian and R. Kenna, The two-point resistance of fan networks, Chin. J. Phys. 53 (2015) 040703. (DOI 10.6122/CJP.20141020A.)
74 P. Sarkanych, Yu. Holovatch and R. Kenna, On the Phase Diagram of the 2D Ising model with Frustrating Dipole Interaction, Ukr. J. Phys. 60 (2015) No.4 p.334-338
73 N.Sh. Izmailian and R. Kenna, A generalised formulation of the Laplacian approach to resistor networks, J. Stat. Mech. (2014) P09016. (DOI 10.1088/1742-5468/2014/09/P09016.)
72 P. Mac Carron and R. Kenna, Network analysis of Beowulf, the Iliad and the Táin Bó Cúailnge, in Sources of Mythology: Ancient and Contemporary Myths, Proceedings of the Seventh Annual International Conference on Comparative Mythology, Klaus Antoni, David Weiß (Eds.) (15-17 May 2013, Tübingen) Religionswissenschaft: Forschung und Wissenschaft (2014). (ISBN-13: 978-3643904751.)
71 N.Sh. Izmailian and R. Kenna, Critical Phenomena for Systems under Constraint, Condensed Matter Physics 17 (2014) 33602:1-9. (DOI 10.5488/CMP.16.33602 .)
70 N.Sh. Izmailian and R. Kenna, Exact asymptotic expansion for the resistance between center node and a node on the cobweb network boundary, Condensed Matter Physics 17 (2014) 33008: 1-8. (DOI 10.5488/CMP.17.33008.)
69 N.Sh. Izmailian and R. Kenna, Universal Amplitude Ratios for Constrained Critical Systems, J. Stat. Mech. (2014) P07011. (DOI 10.1088/1742-5468/2014/7/P07011.)
68 Nickolay Izmailian, Ralph Kenna, Wenan Guo, Xintian Wu, Exact finite-size corrections and corner free energies for the c=-2 universality class, Nuclear Physics B 884 (2014) 157 - 171. (DOI 10.1016/j.nuclphysb.2014.04.023.)
67 R. Kenna and B. Berche, Fisher's scaling relation above the upper critical dimension, EPL 105 (2014) 26005. (DOI: 10.1209/0295-5075/105/26005)
66 N.Sh. Izmailian, R. Kenna and F.Y. Wu, The two-point resistance of a resistor network: A new formulation and application to the cobweb network, J. Phys. A: Math. Theor. 47 (2014) 035003 (***selected for IOP SELECT***). (DOI 10.1088/1751-8113/47/3/035003.)
65 N.S. Ananikian, V.V. Hovhannisyan and R. Kenna, The partition function zeros of the spin-1/2 Ising-Heisenberg model on the diamond chain, Physica A 396 (2014) 51-60. (DOI: 10.1016/j.physa.2013.11.017.)
64 A. Gordillo-Guerrero, R. Kenna and J.J. Ruiz-Lorenzo, Scaling Behavior of the Heisenberg Model in Three Dimensions, Phys. Rev. E 88 (2013) 062117. DOI: 10.1103/PhysRevE.88.062117)
63 O.Mryglod, R.Kenna, Yu.Holovatch, B.Berche, On the problem of science evaluation, Bull. Nat. Acad. Sci. of Ukraine 10 (2013) 76-85 (in Ukrainian - ISSN 0372-6436).
62 P. Mac Carron and R. Kenna, Network analysis of the íslendinga sögur - the Sagas of Icelanders, European Physical Journal B 86 (2013) 407.
61 N. Ananikian, N.Sh. Izmailyan, D.A. Johnston, R. Kenna and R.P.K.C.M. Ranasinghe Potts Models with Invisible States on General Bethe Lattices, J. Phys. A: Math. Theor. 46 (2013) 385002. (DOI 10.1088/1751-8113/46/38/385002.)
60 P. Mac Carron and R. Kenna, A quantitative approach to comparative mythology, Cosmos 29 (2013) 1-23
59 R. Kenna and B. Berche, A new critical exponent ϙ and its logarithmic counterpart, Condensed Matter Physics 16 (2013) 23601: 1-12.
58 O. Mryglod, R. Kenna, Yu. Holovatch and B. Berche, Comparison of citation-based indicators and peer review for absolute and specific measures of research-group excellence, Scientometrics 97 (2013) 767-777.
57 B. Berche, R. Kenna and J.-C. Walter, Hyperscaling above the upper critical dimension, Nucl. Phys. B 865 (2012) 115-132.
56 P. Mac Carron and R. Kenna, Universal properties of mythological networks, EPL 99 (2012) 28002. (***selected for EDITOR'S CHOICE***)
55 R. Kenna, Universal scaling relations for logarithmic-correction exponents, in "Order, Disorder, and Criticality: Advanced Problems of Phase Transition Theory", Yu. Holovatch (editor). vol. 3 (World Scientific, Singapore, 2012) pp 1-46.
54 O. Mryglod, R. Kenna, Yu. Holovatch and B. Berche, Absolute and specific measures of research group excellence, Scientometrics 95 (2013) 115-127 (DOI 10.1007/s11192-012-0874-7).
53 R. Kenna and B. Berche, Statistics of statisticians: Critical mass of statistics and operational research groups in the UK, International Journal of Modern Physics: Conference Series 16 (2012) 29-40.
52 R. Kenna and B. Berche, Managing research quality: Critical mass and academic research group size, IMA Journal of Management Mathematics, 23 (2012) 195-207.
51 R. Kenna and B. Berche, Critical masses for academic research groups and consequences for higher education research policy and management, OECD journal Higher Education Management and Policy, 23 (2011) 9-29.
50 Christian von Ferber, Damien Foster, Hsiao-Ping Hsu and Ralph Kenna, Scaling behaviour of lattice animals at the upper critical dimension, Eur. Phys. J. B 83 (2011) 245-249.
49 A. Gordillo-Guerrero, R. Kenna and J.J. Ruiz-Lorenzo, Universal Amplitude Ratios in the Ising Model in Three Dimensions, J. Stat. Mech. (2011) P09019.
48 N. Sh. Izmailian and Ralph Kenna, The dimer model on the triangular lattice, Phys. Rev. E 84 (2011) 021107.
47 C. von Ferber, R. Folk, Yu. Holovatch, R. Kenna and V. Palchykov, Entropic equation of state and scaling functions near the critical point in uncorrelated scale-free networks, Phys. Rev. E 83 (2011) 061114.
46 R. Kenna and B. Berche, Normalization of research evaluation results across academic disciplines, Research Evaluation 20 (2011) 107-116.
45 R. Kenna and B. Berche, Critical mass and the dependency of research quality on group size, Scientometrics 86 (2011) 527 - 540.
44 R. Kenna and B. Berche, The extensive nature of group quality, EPL 90 (2010) 58002 (***selected for EPL's BEST OF 2010*** Featured in EUROPHYSICS NEWS***).
43 W. Janke, D. A. Johnston and R. Kenna, Geometrothermodynamics of the Kehagias-Sfetsos Black Hole, J. Phys. A: Math. Theor. 43 (2010) 425206.
42 V. Palchykov, C. von Ferber, R. Folk, Yu. Holovatch and R. Kenna, Critical phenomena on scale-free networks: logarithmic corrections and scaling functions, Phys. Rev. E 82 (2010) 011145.
41 A. Gordillo-Guerrero, R. Kenna and J.J. Ruiz-Lorenzo, The Quenched-Disordered Ising Model in Two and Four Dimensions, AIP Conf. Proc. 1198 (2009) 42-54.
40 A. Gordillo-Guerrero, R. Kenna and J.J. Ruiz-Lorenzo, The Site-Diluted Ising Model in Four Dimensions, Phys. Rev. E 80 (2009) 031135.
39b B. Berche, M. Henkel and R. Kenna, Fenomenos Criticos: 150 Anos desde Cagniard de la Tour, Revista Brasileira de Ensino de Fisica 31 (2009) 2602. [This is a translation to Portuguese of Ref.[39a].]
39a B. Berche, M. Henkel and R. Kenna, Critical Phenomena: 150 Years since Cagniard de la Tour, J. Phys. Studies 13 (2009) 3201.
38 R. A. Blythe, W. Janke, D. A. Johnston and R. Kenna, Continued Fractions and the Partially Asymmetric Exclusion Process, J. Phys. A: Math. Theor. 42 (2009) 325002.
37 R. Kenna, H.-P Hsu and C. von Ferber, Fisher Renormalization for Logarithmic Corrections, J. Stat. Mech. (JSTAT): Theor. Exp. (2008) L10002.
36 R. Kenna and J.J. Ruiz-Lorenzo, Scaling analysis of the site-diluted Ising model in two dimensions, Phys. Rev. E 78 (2008) 031134.
35 B. Berche, C. Chatelain, C. Dhall, R. Kenna, R. Low and J.-C. Walter, Extended Scaling in High Dimensions, J.Stat. Mech. (2008) P11010.
34 R. Kenna, D.A. Johnston and W. Janke, Self-Consistent Scaling Theory for Logarithmic-Correction Exponents, Phys. Rev. Lett. 97 (2006) 155702.
33 R. Kenna, D.A. Johnston and W. Janke, Scaling Relations for Logarithmic Corrections, Phys. Rev. Lett. 96 (2006) 115701.
32 R. Kenna, Homotopy in Statistical Physics, Condensed Matter Physics 9 (2006) 283-304.
31 W. Janke, D.A. Johnston and R. Kenna, Properties of Higher-Order Phase Transitions, Nucl. Phys. B. 736 (2006) 319.
30 W. Janke, D.A. Johnston and R. Kenna, Properties of Phase Transitions of Higher-Order, PoS (LAT2005) 244.
29 W. Janke, D.A. Johnston and R. Kenna, Critical Exponents from General Distributions of Zeroes, Comp. Phy. Comm. 169 (2005) 457-461.
28 R.A. Blythe, W. Janke, D.A. Johnston and R. Kenna, Dyck Paths, Motzkin Paths and Traffic Jams, J. Stat. Mech. (JSTAT): Theor. Exp. (2004) P10007.
27 R. Kenna, Finite Size Scaling for O(N) phi^4-Theory at the Upper Critical Dimension, Nucl. Phys. B. 691 (2004) 292.
26 R.A. Blythe, W. Janke, D.A. Johnston and R. Kenna, The Grand-Canonical Asymmetric Exclusion Process and the One-Transit Walk, J. Stat. Mech. (JSTAT): Theor. Exp. (2004) P06001.
25 W. Janke, D.A. Johnston and R. Kenna, Phase Transition Strength through Densities of General Distributions of Zeroes, Nucl. Phys. B 682 (2004) 618.
24 W. Janke, D.A. Johnston and R. Kenna, Information Geometry and Phase Transitions , Physica A 336 (2004) 181 (2003) 181.
23 W. Janke, D.A. Johnston and R. Kenna, Information Geometry, One, Two, Three (and Four) , Acta Physica Polonica B 34 (2003) 4923.
22 W. Janke, D.A. Johnston and R. Kenna, The Information Geometry of the Spherical Model, Phys. Rev. E, 67 (2003) 181.
21 W. Janke, D.A. Johnston and R. Kenna, New methods to measure phase transition strength , Nucl. Phys. B (Proc. Suppl.) 119 (2003) 882.
20 B.P. Dolan, D.A. Johnston and R. Kenna, The Information Geometry of the One-Dimensional Potts Model, J. Phys. A: Math. Theor. 35 (2002) 9025.
19 W. Janke and R. Kenna, Density of Partition Function Zeroes and Phase Transition Strength , Comp. Phys. Comm. 147 (2002) 443.
18 W. Janke and R. Kenna, Exact Finite-Size Scaling with Corrections in the Two Dimensional Ising Model with Special Boundary Conditions , Nucl. Phys. B (Proc. Suppl.) 106-107 (2002) 929.
17 W. Janke and R. Kenna, Phase Transition Strength from the Density of Partition Function Zeroes , Nucl. Phys. B (Proc. Suppl.) 106-107 (2002) 905.
16 W. Janke and R. Kenna, Analysis of the Density of Partition Function Zeroes - A Measure of Phase Transition strength , in Computer Simulation Studies in Condensed Matter Physics XIV ed. D.P. Landau, S.P. Lewis and H.B. Schuettler, Springer (2001) 97.
15 W. Janke and R. Kenna, Exact Finite-Size Scaling and Corrections to Scaling in the Ising Model with Brascamp-Kunz Boundary Conditions, Phys. Rev. B, (2002) 064110.
14 R. Kenna and J.C. Sexton, The Weakly Coupled Gross-Neveu Model with Wilson Fermions, Phys. Rev. D 65 (2002) 014507.
13 R. Kenna, C. Pinto and J.C. Sexton, The Structure of the Aoki Phase at Weak Coupling, Phys. Lett. B 505 (2001) 125.
12 W. Janke and R. Kenna, The Strength of First and Second Order Phase Transitions from Partition Function Zeroes, J. Stat. Phys. 102 (2001) 1211.
11 R. Kenna, C. Pinto and J.C. Sexton, The Phase Diagrams of the Schwinger and Gross-Neveu models with Wilson Fermions , Nucl. Phys. B (Proc. Suppl.) 83 (2000) 667.
10 R. Kenna, Singular Behaviour of the Potts Model in the Thermodynamic Limit , Nucl. Phys. B (Proc. suppl.) 63 (1998) 646.
9 R. Kenna, Fisher Zeroes and Singular Behaviour of the Two-Dimensional Potts Model in the Thermodynamic Limit , J. Phys. A, 31 (1998) 9419.
8 R. Kenna and A.C. Irving, The Kosterlitz-Thouless Universality Class , Nucl. Phys. B, 485 (1997) 583.
7 A.C. Irving and R. Kenna, Critical Behaviour of the Two-Dimensional Step Model , Phys. Rev. B, 53 (1996) 11568.
6 R. Kenna and A.C. Irving, Logarithmic corrections to Scaling in the Two Dimensional XY-Model , Phys. Lett. B 351 (1995) 273.
5 R. Kenna and A.C. Irving, Logarithmic corrections to Scaling in the XY_2-Model , Nucl. Phys. B (Proc. Suppl.) 42 (1995) 773.
4 R. Kenna and C.B. Lang, Scaling and Density of Lee-Yang Zeroes in the Four-Dimensional Ising Model , Phys. Rev. E, 49 (1994) 5012.
3 R. Kenna and C.B. Lang, Lee-Yang Zeroes and Logarithmic Corrections in the \phi^4_4 Theory , Nucl. Phys. B (Proc. Suppl.) 30 (1993) 697.
2 R. Kenna and C.B. Lang, Renormalization Group Analysis of Finite Size Scaling in the \phi^4_4 Model, , Nucl. Phys. B, 393 (1993) 461.
1 R. Kenna and C.B. Lang, Finite-Size Scaling and the Zeroes of the Partition Function in the \phi^4_4 Model, Phys. Lett. B 264 (1991) 396.

### Invited and popular articles

15 B. Berche, R. Folk, R. Kenna, O. Mryglod, Correlations, connections, and physics in complex systems, Condensed Matter Physics, 2017, vol. 20, No. 1, 10101 (Festschrift in honour of Professor Yurij Holovatch). DOI:10.5488/CMP.20.10101.
14 Michael Bachmann, Elmar Bittner, Nikolaos G. Fytas, Ralph Kenna, Martin Weigel and Johannes Zierenberg, Recent advances in phase transitions and critical phenomena, (Festschrift on the occasion of Wolfhard Janke's 60th birthday) The European Physical Journal Special Topics 226 (2017) 533-537. doi:10.1140/epjst/e2017-70019-3
13 Ralph Kenna and Pádraig Mac Carron, Maths meets myths, Physics World Volume 29, Number 6 (June 2016) pp. 22-27.
[Physics World is the monthly magazine of the Institute of Physics and has 110,000 readers.]

12 Nerses Ananikian and Ralph Kenna, Imaginary Magnetic Fields in the Real World , Physics 8, 2 - Published January 5, 2015.
[Physics provides daily online-only news and commentary about a selection of papers from the APS journal collection. The website is aimed at the reader who wants to keep up with highlights of physics research with explanations that don't rely on jargon and technical detail. Viewpoints are commentaries on papers written by prominent experts in a given field.]

11 Pádraig Mac Carron and Ralph Kenna, Viking sagas: Six degrees of Icelandic separation Social networks from the Viking era, Significance Volume 10, Issue 6 (December 2013, January 2014) pp. 12-17.
[Significance is the bimonthly magazine of the Royal Statistical Society and the American Statistical Association.]

10 P. Mac Carron and R. Kenna, Applying Math to Myth Helps Separate Fact from Fiction, SIAM News, Volume 46, Number 3, April 2013.
[SIAM News the news journal of the applied mathematics community as represented by the Society for Industrial and Applied Mathematics.]

9 O.Mryglod, R.Kenna, Yu.Holovatch, B.Berche, On the comparison of extensive and intensive measures of scientific group efficiency, Rep. Nat. Acad. Sci. of Ukraine 3 (2014) 75 -81 (in Ukrainian).
[The The National Academy of Sciences of Ukraine is the highest research body in Ukraine as a self-governing state-funded organization.]

8 R. Kenna and P. Mac Carron, Network analysis of the Táin Bó Cúailnge, prepared after the Rathcroghan Archaeological Conference, for joint proceedings of First and Second Annual Rathcroghan Archaeological Conference, 13-15 April 2012 and 12-14 April 2013.
7 R. Kenna and B. Berche, Statistics of statisticians: critical masses for research groups, Significance Volume 9, Issue 6 (December 2012) pp. 22-25.
[Significance is the bimonthly magazine of the Royal Statistical Society and the American Statistical Association.]

6 P. Mac Carron and R. Kenna, If Achilles used Facebook..., The New York Times (8 Sept. 2012) Sunday Review, page 4.
5 R. Kenna and B. Berche, Masse critique des Groupes de Recherche, Reflets de la Physique No. 27 (Dec. 2011 - Jan. 2012) pp. 21-23.
[Reflets de la Physique is the bimonthly magazine of the French Physical Society.]

4 R. Kenna and B. Berche, Critical masses of research groups in the mathematical sciences, Mathematics Today 47 (3) (2011) 114-116.
[Mathematics Today is the bimonthly magazine of the Institute of mathematics and its Applications.]

3 R. Kenna and B. Berche, Critical mass of education research groups, Research Intelligence 114 (2011) 14.
[Research Intelligence is the quarterly magazine of the British Educational Research Association.]

2 R. Kenna, The XY Model and the Berezinskii-Kosterlitz-Thouless Phase Transition, Annals of the Marie Curie Fellowships, IV (2006).
1 R. Kenna, Critical Phenomena, The Irish Scientist Millennium Year Book, 167, published by Samton Ltd, (2000).

### Other articles

1 R. Kenna and B. Berche Written evidence submitted to House of commons Science & Technology Select committee, March 2011.

### PhD thesis

1 R. Kenna, Nullstellen der Zustandssumme und Renormierungsgruppen-Analyse im \phi^4_4 Modell, Doctorate thesis, University of Graz, February, 1993.