G.Burel, H. Pillin, E. Baghious, P. Baird, R. Gautier, Identification of quantum encoder matrix from a collection of Pauli Errors, APCC 2019.
P. Baird, Feedback loops: a fundamental ingredient of information processing, Quantum Interaction 2014, eds. H.
Atmanspacher, C. Bergomi, T. Filk, K. Kitto, Springer
Lecture Notes in Computer Science 8951, 2015, pp. 24-38.
P. Baird, Information, universality and consciousness: a relational perspective, Mind and Matter 11 (2) (2013), 21-43.
Mathematical physics:
P. Baird, Why linear? An illustration using a geometric model of quantum interaction, Quantum Interaction 2015, eds. H. Atmanspacher, T. Filk, E. Pothos, Springer Lecture Notes in Computer Science 9535, 2016, pp. 101-112.
P. Baird, Emergence of geometry in a combinatorial universe, Journal of Geometry and Physics, 74 (2013) 185-195.
P. Baird and M. Wehbe, On ray congruences that generate conformal foliations, Journal of Mathematical Physics, 53 (2012)(15 pages).
P. Baird and M. Wehbe, Twistor theory on a finite graph, Communications in Mathematical Physics 304, No. 2 (2011), 499-511.
P. Baird, F. Helein, J. Kouneiher, F. Pedit and V. Roubtsov
(Eds.) , Systèmes intégrables et théorie des
champs quantiques, Physique-Mathématiques, Travaux en cours,
Hermann 2009.
P. Baird et J. C. Wood, Monopoles, harmonic morphisms and
spinor fields, Further Advances in Twistor Theory, vol. 2, Pitman Research
Notes in Math., Longman (1994) 49-62.
P. Baird, Static fields on 3-dimensional space forms in terms
of contour integrals of twistor functions, Physics Letters A 179 (1993),
279-283.
P. Baird, Riemannian twistors and Hermitian structures on
low-dimensional space forms, Journal of Mathematical Physics, 33 (10) (1992),
3340-3355.
P. Baird, A Hamiltonian system on hyperbolic space and
associated harmonic maps, Physica D 59 (1992), 349-364.
Combinatorial Mathematics/Discrete geometry:
P. Baird, A. Fardoun and R. Regbaoui, Heat flow for harmonic maps from graphs into Riemannian manifolds, Journal of Geometry and Physics, 176 (2022). click
P. Baird, A.Fardoun and Z. Ghazo Hanna, Quadratic cyclic sequences, Monatshefte Math, 193(2) (2020), 195-232. click
P. Baird, The geometric spectrum of a graph and associated curvatures,
in: Modern Approaches to Discrete Curvature, eds. L. Najman and
P. Romon, Springer Lecture Notes in Math., 2017. click
P. Baird, An invariance property for frameworks in Euclidean space, Linear Algebra and its Applications 440 (2014) 243-265. click
P. Baird, Constant mean curvature polytopes and hypersurfaces via projections, Differential Geometry and its Applications 33 (2014) 199-212.
P. Baird, Curvature of a graph via its geometric spectrum, Proceedings of the CIRM meeting 3 No. 1: Discrete curvature: theory and applications (2013) click
P. Baird, A class of quadratic difference equations on a finite graph, arXiv:1109.3286 click
P. Baird and M. Tiba, An algorithm to prescribe the configuration of a finite graph, arXiv:1002.1192 click
P. Baird and M. Wehbe, Discrete harmonic map heat flow on a finite graph, Proceedings of conference
"Harmonic map fest", Cagliari, in honour of the 60th birthday of J.C.
Wood. Eds. E. Loubeau and S. Montaldo, Contemporary Math. 542, AMS, 2011, pp. 75-84.
Differential Geometry/Geometric Analysis:
P. Baird and J. Ventura, Four-dimensional Einstein metrics from biconformal deformations, Archivum Mathematicum 57 (2021), 255-283.
P. Baird and E. Ghandour, Biconformal equivalence between 3-dimensional Ricci solitons, Tohoku Math. J., 73 (2) (2021), 289-316.
P. Baird and E. Ghandour, A class of analytic pairs of conjugate functions in dimension three, Advances in Geometry, published online June 2019, DOI: https://doi.org/10.1515/advgeom-2018-0034
P. Baird and M. Wehbe, An integral formula for a class of biharmonic maps from Euclidean 3-space, Differential Geometry and its Applications, 60 (2018), 190-201. link
P. Baird and Ye-Lin Ou, Biharmonic conformal maps in dimension four and equations of Yamabe-type, Journal of Geometric Analysis 2018, click.
P. Baird, A. Fardoun and S. Ouakkas, Biharmonic maps from biconformal deformations with respect to isoparametric functions, Differential Geometry and its Applications, 50 (2017), 155-166. click
P. Baird and M. G. Eastwood, On functions with a conjugate, Annales de l'Institut Fourier, 65 no. 1 (2015), 277-314.
P. Baird and R. Pantilie, On Ricci solitons and twistorial harmonic morphisms, arXiv:1210.4688 click
P. Baird and M. G. Eastwood, CR geometry and conformal foliations, Ann. Global Analysis and Geometry 44 (1) (2013), 73-90.
P. Baird, Explicit constructions of Ricci solitons, Proceedings of the conference
"Variational problems in differential geometry", Leeds, Eds. R.
Bielawski, K. Houston and M. Speight. London Math. Soc. Lecture Note Series 394, Cambridge Univ. Press. 2011, pp. 37-55.
P. Baird and J. C. Wood, Harmonic morphisms and bicomplex manifolds, Journal of Geometry and Physics 61 (1) (2011), 46-61.
P. Baird, E. Loubeau and C. Oniciuc, Harmonic and biharmonic maps from surfaces, Proceedings of conference
"Harmonic map fest", Cagliari, in honour of the 60th birthday of J.C.
Wood. Eds. E. Loubeau and S. Montaldo, Contemporary Math. 542, AMS, 2011, pp. 223-230.
P. Baird (book review), The Ricci flow: techniques and applications -- Part II: analytic aspects, by
B. Chow, S-C. Chu, D. Glickenstein, C. Guenther, J. Isenberg, T. Ivey,
D. Knopf, P. Lu, F. Luo and L. Ni ; Bulletin London Math. Soc.
42(4) (2010), 761-763.
P. Baird, A. Fardoun and S. Ouakkas,
Liouville-type theorems for biharmonic maps from Riemannian
manifolds, Advances in Calculus of Variations, Vol. 3 (2010),
49-68.
P. Baird and J. C. Wood, Harmonic morphisms from Minkowski
space and hyperbolic numbers, Bull. Math. Soc. Sci. Math.
Roumanie (N.S.) 52 (100), No. 3 (2009), 195-209.
P. Baird, A class of three-dimensional Ricci solitons, Geometry and Topology 13 (2009), 979-1015.
P. Baird and R. Pantilie, Harmonic morphisms on heaven
spaces, Bulletin of the London Mathematical Society 41 (2) (2009),
198-204.
P. Baird, A. Fardoun and R. Regbaoui, Prescribed
Q-curvature on manifolds of even dimension, Journal of
Geometry and Physics 59 (2009), 221-233.
P. Baird and D. Kamissoko, Unique continuation of
semi-conformality for a harmonic mapping onto a surface,
Manuscripta math. 128 (2009), 69-75.
P. Baird, A. El Soufi, A. Fardoun and R. Regbaoui (Eds.),
Analytic aspects of problems in Riemannian geometry: elliptic
PDEs, solitons and computer imaging, Séminaires
et Congrès 19, Société Mathématique de France 2009.
P. Baird and M. G. Eastwood, Singularities of
semiconformal mappings, Proceedings RIMS Kokyuroku 1610 (2008), 1-10.
P. Baird, Stress-energy tensors and the Lichnerowicz Laplacian, Journal of Geometry and Physics, 58 (2008), 1329-1342.
P. Baird, A. Fardoun and S. Ouakkas, Conformal and
semi-conformal biharmonic maps, Annals of Global Analysis
and Geometry, 34 (2008), 403-414.
P. Baird (book reviews), The Ricci flow: techniques and applications -- Part I, by B. Chow, S-C. Chu, D. Glickenstein, C. Guenther, J. Isenberg, T. Ivey, D. Knopf, P. Lu, F. Luo and L. Ni ; Hamilton's Ricci Flow, by
B. Chow, P. Lu and L. Ni; Bulletin London Math. Soc. 39 (2008),
176-179, available at
http://blms.oxfordjournals.org/cgi/reprint/40/1/176
P. Baird and L Danielo, Three-dimensional Ricci solitons which
project to surfaces, Journal reine angew. Mathematik,
608 (2007), 65-91.
P. Baird, A. Fardoun and R. Regbaoui, Q-curvature flow on 4-manifolds, Calculus of Variations and PDEs, 27(1) (2006), 75-104.
P. Baird and M. G. Eastwood, Conjugate functions and semi-conformal
mappings, Proceedings of the 9th International Conference "Differential
Geometry and its Applications", Prague (eds. J. Bures, O. Kowalski, D.
Krupka and J. Slovac) Matfyz Press 2005, 479-486.
P. Baird, A. Fardoun and R. Regbaoui, Evolution of the scalar
curvature of a surface to a prescribed function, Ann. Scuola Normale
Sup. Pisa Cl. Sci (5) Vol.III (2004), 17-38.
P. Baird, A. El Soufi, A. Fardoun and R. Regbaoui (Eds.),
Variational Problems in Riemannian Geometry: Bubbles, Scans and
Geometric Flows, Progress in Nonlinear Differential Equations and Their
Applications, Vol. 59, Birkhauser, 2004.
P. Baird and John C. Wood, Harmonic Morphisms between Riemannian manifolds,
London Mathematical Society Monograph (New Series), Oxford University Press, 2003, (520 pages). For book publicity
P. Baird and J-M. Burel, Conformal subfoliations of prescribed geodesic curvature, Mathematica Scandinavica, 93, (2003), 221-239.
P. Baird and D. Kamissoko, On constructing biharmonic maps and metrics, Annals of Global Analysis and Geometry (2003) 23, 65-75.
P. Baird and Luis Gallardo, A class of discriminant varieties in the conformal
3-sphere, Beitrage zur Algebre und Geometrie (2002) 43, No. 1, 195-208.
P. Baird, Knot singularities of harmonic morphisms, Proc Edinburgh Math.
Soc (2001) 44, 71-85.
R. Ababou, P. Baird and J. Brossard, Polynomes semi-conformes et morphismes
harmoniques, Math. Z. 231, (1999), 589-604.
P. Baird, Conformal foliations by circles of 3-dimensional Euclidean space
and complex isoparametric functions, Math. Proc. Cambs. Phil. Soc., 123,
(1998), 273-300.
P. Baird and J. C. Wood, Harmonic morphisms, conformal foliations and shear-free
ray congruences, Bulletin Belgium Math. Soc. 5, (1998), 549-564.
P. Baird and Y-L. Ou, Harmonic mappings and morphisms from multilinear
norm-preserving maps, International J. Math., 8, No 2 (1997), 187-211.
P. Baird and J. C. Wood, Weierstrass representations for harmonic morphisms
on Euclidean spaces and spheres, Math. Scandinavica, 81, (1997),
283-300.
P. Baird and J. C. Wood, Hermitian structures and harmonic morphisms in
higher dimensional Euclidean spaces, International J. Math., 6,
No 2 (1995), 161-192.
P. Baird et S. Gudmundsson, p-harmonic maps and minimal
submanifolds, Mathematische Annalen 294 (1992), 611-624.
P. Baird et J.C. Wood, The geometry of a pair of Riemannian
foliations by geodesics and associated harmonic morphisms, Bulletin Belgian
Math. Soc., 44 (1992) 2, Ser. B, 115-139.
P. Baird, A Bochner technique for harmonic mappings from a
3-manifold to a surface, Annals of Global Analysis and Geometry 10 (1992),
63-72.
P. Baird et J.C. Wood, Harmonic morphisms, Seifert fibre
spaces and conformal foliations, Proc. London Math. Soc. (3) 64 (1992),
170-196.
P. Baird et A. Ratto, Conservation laws, equivariant
harmonic maps and harmonic morphisms, Proc. London Math. Soc. (3) 64 (1992),
197-224.
P. Baird et J.C. Wood, Harmonic morphisms and conformal
foliations of 3-dimensional space forms, Journal of the Australian Math.
Soc.(A), 51 (1991), 118-153.
P. Baird, Harmonic morphisms and circle actions on 3-and
4-manifolds, Ann. de l'Institut Fourier (Grenoble), 40, 1 (1990), 177-212.
P. Baird et J.C. Wood, Bernstein Theorems for harmonic morphisms from R3 and S3 , Math. Ann. 280 (1988), 579-603.
P. Baird, Harmonic morphisms onto Riemann surfaces and
generalised analytic functions, Ann. de l'Institut Fourier (Grenoble), 37,
135-174 (1987).
P. Baird, Harmonic Maps with Symmetry, Harmonic Morphisms and
Deformations of Metrics, Research Notes in Math. 87 (1983) Pitman Books Ltd
(180 pages).
P. Baird et J. Eells, A conservation law for harmonic maps,
Springer Lecture Notes in Math. 894 , 1-25 (1981).
Preprints.
P. Baird et T. Mustafa, On surfaces whose Gauss maps are harmonic with potential.