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Researchers

Professor Derek W Robinson

M Sc, D Phil (Oxford)

Emeritus Professor

ANU College of Science

E: derek.robinson@anu.edu.au

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Areas of expertise

Lie Groups, Harmonic And Fourier Analysis 010106
Operator Algebras And Functional Analysis 010108
Partial Differential Equations 010110

Publications

Robinson, D 2018, 'Hardy inequalities, Rellich inequalities and local Dirichlet forms', Journal of Evolution Equations, vol. 18, pp. 1521-1541pp.
Robinson, D & Sikora, A 2016, 'Gruin operators, Riesz transforms and nilpotent Lie groups', Mathematische Zeitschrift, vol. 282, no. 1-2, pp. 461-472.
Lehrback, J & Robinson, D 2016, 'Uniqueness of diffusion on domains with rough boundaries', Nonlinear Analysis, vol. 131, pp. 60-80.
Robinson, D 2016, 'On extensions of local Dirichlet forms', Journal of Evolution Equations, vol. Online, pp. 1-32.
Robinson, D 2014, 'Gaussian bounds, strong ellipticity and uniqueness criteria', Bulletin of the London Mathematical Society, vol. 46, pp. 1077-1090.
Robinson, D & Sikora, A 2014, 'The limitations of the PoincarÃ© inequality for GruÅ¡in type operators', Journal of Evolution Equations, vol. 14, no. 3, pp. 535-563.
Robinson, D 2013, 'Uniqueness of diffusion operators and capacity estimates', Journal of Evolution Equations, vol. 13, no. 1, pp. 229-250.
Ouhabaz, E & Robinson, D 2012, 'Uniqueness properties of degenerate elliptic operators', Journal of Evolution Equations, vol. 12, no. 3, pp. 647-673.
Kishimoto, A & Robinson, D W 2011, 'Quasi-diagonal flows', Journal of Operator Theory, vol. 66, no. 2, pp. 353-384.
Robinson, D W & Sikora, A 2011, 'L₁-uniqueness of degenerate elliptic operators', Studia Mathematica, vol. 203, no. 1, pp. 79-103.
Robinson, D W & Sikora, A 2011, 'Markov uniqueness of degenerate elliptic operators', Annali Della Scuola Normale Superiore di Pisa, vol. X, pp. 683-710.
ter Elst, A, Robinson, D W & Sikora, A 2011, 'Flows and invariance for degenerate elliptic operators', Journal of the Australian Mathematical Society, vol. 90, no. 3, pp. 317-339.
Robinson, D W & Sikora, A 2010, 'Degenerate elliptic operators in one dimension', Journal of Evolution Equations, vol. 10, pp. 731-759.
Robinson, D W & ter Elst, A 2009, 'Uniform subellipticity', Journal of Operator Theory, vol. 62, no. 1, pp. 125-149.
ter Elst, A & Robinson, D W 2009, 'Conservation and invariance properties of submarkovian semigroups', Journal of the Ramanujan Mathematical Society, vol. 24, no. 3, pp. 285 - 297.
Bratteli, O, Kishimoto, A & Robinson, D W 2008, 'Approximately Inner Derivations', Mathematica Scandinavica, vol. 103, pp. 141-160.
Robinson, D W & Sikora, A 2008, 'Analysis of degenerate elliptic operators of Grusin type', Mathematische Zeitschrift, vol. 260, no. 3, pp. 475-508.
Robinson, D W 2008, 'Entropy and Uncertainty', Entropy, vol. 10, no. 4, pp. 493-506.
ter Elst, A & Robinson, D W 2008, 'Invariant subspaces of submarkovian semigroups', Journal of Evolution Equations, vol. 8, no. 4, pp. 661-671.
terElst, A & Robinson, D W 2008, 'Contraction Semigroups on Lï¿½??(R)', in Amann, H.; Arendt, W.; Hieber, M.; Neubrander, F.; Nicaise, S.; von Below, J. (ed.), Functional Analysis and Evolution Equations, Birkhauser Verlag, Germany, pp. 209-221.
Bratteli, O, Kishimoto, A & Robinson, D W 2007, 'Rohlin flows on the Cuntz algebra Oï¿½??', Journal of Functional Analysis, vol. 248, pp. 472-511.
Robinson, D W & Sikora, A 2007, 'Degenerate elliptic operators: capacity, flux and separation', Journal of the Ramanujan Mathematical Society, vol. 22, no. 4, pp. 385-408.
ter Elst, A, Robinson, D W & Sikora, A 2007, 'Small time asymptotics of diffusion processes', Journal of Evolution Equations, vol. 7, no. 1, pp. 79-112.
terElst, A, Robinson, D W, Sikora, A & Zhu, Y, 2007, 'Second-order operators with degenerate coefficients', Proceedings of the London Mathematical Society, vol. 95, pp. 299-328.
ter Elst, A, Robinson, D, Sikora, A et al 2006, 'Dirichlet forms and degenerate elliptic operators', in Erik Koelink, Jan Van Neerven, Ben De Pagter, Guido Sweers (ed.), Partial Differential Equations and Functional Analysis, Birkhauser Verlag, Basel, pp. 73-95.
ter Elst, A, Robinson, D & Zhu, Y 2006, 'Positivity and strong ellipticity', Proceedings of the American Mathematical Society, vol. 134, no. 3, pp. 707-714.
ter Elst, A, Robinson, D, Sikora, A et al 2006, 'Dirichlet forms and degenerate elliptic operators', in Erik Koelink, Jan Van Neerven, Ben De Pagter, Guido Sweers (ed.), Partial Differential Equations and Functional Analysis, Birkhauser Verlag, Basel, pp. 73-95.
Robinson, D & ter Elst, A 2003, 'Asymptotics of semigroup kernels', International Conference on Harmonic Analysis and Related Topic, ed. Xuan Thinh Duong and Alan Pryde, Australian National University, Canberra, pp. 128-142.
Robinson, D, Dungey, N & ter Elst, A 2003, Analysis on Lie groups with polynomial growth, Birkhauser Verlag, Boston, USA.
Robinson, D & ter Elst, A 2003, 'Gaussian bounds for complex subelliptic operators on Lie groups of polynomial growth', Bulletin of the Australian Mathematical Society, vol. 67, no. 2, pp. 201-218.
Robinson, D, ter Elst, A & Dungey, N 2001, 'On second-order almost-periodic elliptic operators', Journal of the London Mathematical Society, vol. 63, no. 2, pp. 735-753.
ter Elst, A & Robinson, D 2001, 'On Anomalous Asymptotics of heat kernels', International Conference on Evolution Equations and Their Applications 1998, ed. Lumer G, Weis L, Marcel Dekker Inc., New York, USA, pp. 89-104.
ter Elst, A, Robinson, D & Sikora, A 2001, 'On second-order periodic elliptic operators in divergence form', Mathematische Zeitschrift, vol. 238, pp. 569-637.
Dungey, N, ter Elst, A, Robinson, D et al 2001, 'Asymptotics of subcoercive semigroups on nilpotent Lie groups', Journal of Operator Theory, vol. 45, pp. 81-110.
ter Elst, A & Robinson, D 2001, 'Subelliptic operators and Lie groups', National Research Symposium on Geometric Analysis and Applications, ed. Isaev A, Hassell A, McIntosh A, Sikora A, Australian National University, ACT, Australia, pp. 67-84.
ter Elst, A & Robinson, D 2000, 'Second order sub-elliptic operators on Lie groups II: real measurable principal coefficients', Progress in Nonlinear Differential Equations and their Applications, Birkhauser Verlag, Basel, Switzerland, pp. 103 - 124.
Robinson, D, ter Elst, A & Sikora, A 1999, 'Riesz transforms and Lie groups of polynomial growth', Journal of Functional Analysis, vol. 162, no. 1, pp. 14-51.
Jorgensen, P, Bratteli, O & Robinson, D 1999, 'Spectral asymptotics of periodic elliptic operators', Mathematische Zeitschrift, vol. 232, no. 4, pp. 621-650.
Robinson, D & ter Elst, A 1999, 'Second-order subelliptic operators on Lie groups III: H\older continuous coefficients', Calculus of Variations and Partial Differential Equations, vol. 8, no. 4, pp. 327-363.
Robinson, D, Dungey, N & ter Elst, A 1999, 'Asymptotics of sums of subcoercive operators', Colloquium Mathematicum, vol. 82, pp. 231-260.

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