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Professor Michael Wilkinson

Profile summary

  • Central Academic Staff
  • Professor of Applied Mathematics
  • Faculty of Science, Technology, Engineering & Mathematics
  • School of Mathematics & Statistics
  • michael.wilkinson

Publications

Uniformity transition for ray intensities in random media (2018-03-15)
Pradas, Marc; Pumir, Alain and Wilkinson, Michael
Journal of Physics A: Mathematical and Theoretical, 51, Article 155002(15)
Persistent stability of a chaotic system (2018-02-15)
Huber, Greg; Pradas, Marc; Pumir, Alain and Wilkinson, Michael
Physica A: Statistical Mechanics and its Applications, 492 (pp. 517-523)
Aggregation-fragmentation-diffusion model for trail dynamics (2017-07-21)
Kawagoe, Kyle; Huber, Greg; Pradas, Marc; Wilkinson, Michael; Pumir, Alain and Ben-Naim, Eli
Physical Review E, 96, Article 12142
Convergent Chaos (2017-06-13)
Pradas, Marc; Pumir, Alain; Huber, Greg and Wilkinson, Michael
Journal of Physics A: Mathematical and Theoretical, 50, Article 275101(27)
Large Deviation Analysis of Rapid Onset of Rain Showers (2016-01-08)
Wilkinson, Michael
Physical Review Letters, 116, Article 18501(1)
Power-law distributions in noisy dynamical systems (2015-09-17)
Wilkinson, Michael; Guicharaz, Robin; Pradas, Marc and Pumir, Alain
EPL, 111, Article 50005(5)
Advection-Diffusion Equation with Absorbing Boundary (2015-08)
Grant, John and Wilkinson, Michael
Journal of Statistical Physics, 160(3) (pp. 622-635)
Analysis of the correlation dimension for inertial particles (2015-07-28)
Gustavsson, Kristian; Mehlig, Bernhard and Wilkinson, Michael
Physics of Fluids, 27, Article 73305
Reply to comment by M. Rohloff et al (2014-11)
Wilkinson, Michael
Europhysics Letters, 108, Article 30006
Triangular constellations in fractal measures (2014-09-04)
Wilkinson, Michael and Grant, John
EPL, 107, Article 50006(5)
Prevalence of the sling effect for enhancing collision rates in turbulent suspensions (2014-06)
Voßkuhle, Michel; Pumir, Alain; Lévêque, Emmanuel and Wilkinson, Michael
Journal of Fluid Mechanics, 749 (pp. 841-852)
A test-tube model for rainfall (2014-05-19)
Wilkinson, Michael
EPL, 106, Article 40001(4)
Collision rate for suspensions at large Stokes numbers - comparing Navier-Stokes and synthetic turbulence (2014)
Voßkuhle, Michel; Pumir, Alain; Lévêque, Emmanuel and Wilkinson, Michael
Journal of Turbulence, 16(1) (pp. 15-25)
A model for the shapes of advected triangles (2013-09)
Pumir, Alain and Wilkinson, Michael
Journal of Statistical Physics, 152(5) (pp. 934-53)
Multiple collisions in turbulent flows (2013)
Voßkuhle, Michel; Lévêque, Emmanuel; Wilkinson, Michael and Pumir, Alain
Physical Review E, 88, Article 63008(6)
Super-diffusion in optical realizations of Anderson localization (2012-04)
Krivolapov, Yevgeny; Levi, Liad; Fishman, Shmuel; Segev, Mordechai and Wilkinson, Michael
New Journal of Physics, 14 (p 43047)
Clustering of exponentially separating trajectories (2012-01)
Wilkinson, M.; Mehlig, B.; Gustavsson, K. and Werner, E.
European Physical Journal B - Condensed Matter and Complex Systems, 85 (pp. 18-22)
Spectal dimension of fractal sets (2012)
Wilkinson, M.; Kennard, H. R. and Morgan, M. A.
Journal of Physics A: Mathematical and Theoretical, 45 (p 415102)
Universal anomalous diffusion of weakly damped particles (2012)
Bezuglyy, V.; Wilkinson, M. and Mehlig, B.
Physical Review E, 85 (p 61128)
A model for alignment between microscopic rods and vorticity (2012)
Wilkinson, M. and Kennard, H. R.
Journal of Physics A: Mathematical and Theoretical, 45 (p 455502)
Orientation statistics of small particles in turbulence (2011-09-20)
Pumir, Alain and Wilkinson, Michael
New J. Phys., 13 (p 93030)
Shock fragmentation model for gravitational collapse (2011-05)
Wilkinson, Michael; Mehlig, Bernhard and Morgan, Michael A.
Research in Astronomy and Astrophysics, 11(5) (pp. 545-562)
Emergent order in rheoscopic swirls (2011-01-25)
Wilkinson, Michael; Bezuglyy, Vlad and Mehlig, Bernhard
Journal of Fluid Mechanics, 667 (pp. 158-187)
Lyapunov exponent for small particles in smooth one-dimensional flows (2011)
Wilkinson, Michael
Journal of Physics A: Mathematical and Theoretical, 44(4) (p 45502)
Universal anomalous exponent of photoconduction (2011)
Wilkinson, M.
Europhysics Letters, 96, Article 67007(6)
Spherical Ornstein-Uhlenbeck processes (2011)
Wilkinson, Michael and Pumir, Alain
Journal of Statistical Physics, 145(1) (pp. 113-142)
Poincaré indices of rheoscopic visualisations (2010-02)
Bezuglyy, V.; Mehlig, B. and Wilkinson, M.
Europhysics Letters, 89(34003) (pp. 1-5)
Perturbation theory for a stochastic process with Ornstein-Uhlenbeck noise (2010)
Wilkinson, Michael
Journal of Statistical Physics, 139(2) (pp. 345-353)
Correlation dimension of inertial particles in random flows (2010)
Wilkinson, M.; Mehlig, B. and Gustavsson, K.
Europhysics Letters, 89(5) (p 50002)
Fingerprints of random flows? (2009-04)
Wilkinson, Michael; Bezuglyy, Vlad and Mehlig, Bernard
Physics of Fluids, 21(4) (pp. 043304-043314)
Multiple regimes of diffusion (2009)
Mehlig, B.; Wilkinson, M.; Bezuglyy, V.; Gustavsson, K. and Nakamura, K.
Physical Review E, 80(11139) (pp. 1-10)
Collisions of particles advected in random flows (2008-07)
Gustavsson, K.; Mehlig, B. and Wilkinson, M.
New Journal of Physics, 10, (p 75014)
Stokes trapping and planet formation (2008-06)
Wilkinson, M.; Mehlig, B. and Uski, V.
Astrophysical Journal Supplement Series, 176(2) (pp. 484-496)
Stick-breaking model for variable-range hopping (2008-05)
Wilkinson, M.; Mehlig, B. and Bezuglyy, V.
Philosophical Magazine Letters, 88(5) (pp. 327-344)
Mutually unbiased bases for continuous variables (2008)
Weigert, Stefan and Wilkinson, Michael
Physical Review A, 78(2) (p 20303)
Variable-range projection model for turbulence-driven collisions (2008)
Gustavsson, K.; Mehlig, B.; Wilkinson, M. and Uski, V.
Physical Review Letters, 101(17) (p 174503)
Advective Collisions (2007-12)
Andersson, B.; Gustavsson, K.; Mehlig, B. and Wilkinson, M.
Europhysics Letters, 80(6)
Colliding particles in highly turbulent flows (2007-09)
Mehlig, Bernhard; Uski, Ville and Wilkinson, Michael
Physics of Fluids, 19(9)
Strength distribution of repeatedly broken chains (2007-06)
Wilkinson, Michael and Mehlig, Bernhard
Journal of Statistical Physics, 127(6) (pp. 1279-1286)
Precise asymptotics for a variable-range hopping model (2007)
Mehlig, B. and Wilkinson, M.
Progress of Theoretical Physics, 166 (pp. 136-142)
Unmixing in random flows (2007)
Wilkinson, M.; Mehlig, B.; Ostlund, S. and Duncan, K. P.
Physics of Fluids, 19 (p 113303)
Caustic activation of rain showers (2006-07-28)
Wilkinson, Michael; Mehlig, Bernhard and Bezuglyy, Vlad
Physical Review Letters, 97 (p 48501)
Staggered Ladder Spectra (2006-01-25)
Arvedson, E.; Wilkinson, M.; Mehlig, B. and Nakamura, K.
Physical Review Letters, 96(3) (p 30601)
Generalized Ornstein-Uhlenbeck processes (2006)
Bezuglyy, V.; Mehlig, B.; Wilkinson, Michael; Nakamura, K. and Arvedson, E.
Journal of Mathematical Physics, 47(7)
Semilinear response (2006)
Wilkinson, M.; Mehlig, B. and Cohen, D.
Europhysics Letters, 75(5) (pp. 709-715)
Clustering by mixing flows (2005-12-08)
Duncan, Kevin; Mehlig, Bernhard; Ostlund, Stellan and Wilkinson, Michael
Physical Review Letters, 95(24) (p 240602)
Aggregation of inertial particles in random flows (2005-11-08)
Mehlig, B.; Wilkinson, M.; Duncan, K.; Weber, T. and Ljunggren, M.
Physical Review E, 72 (p 51104)
Caustics in turbulent aerosols (2005)
Wilkinson, M. and Mehlig, B
Europhysics Letters, 71(2) (pp. 186-192)
Screening of charged singularities of random fields (2004-07-02)
Wilkinson, Michael
Journal of Physics A: Mathematical and General, 37 (pp. 6763-6771)
Coagulation by random velocity fields as a Kramers Problem (2004-06-25)
Mehlig, Bernhard and Wilkinson, Michael
Physical Review Letters, 92(25) (p 250602)
Path coalescence transition and its applications (2003-10-23)
Wilkinson, M. and Mehlig, B.
Physical Review E, 68 (040101(R))
Energy-shell bases (2001-12-14)
Wilkinson, Michael
Journal of Physics A: Mathematical and General, 34(49) (pp. 11149-11156)
A new quantum model for Ohmic dissipation (2001-09)
Wilkinson, Michael
Journal of Physics: Condensed Matter, 13 (pp. 8087-8103)
Semiclassical trace formulae using coherent states (2001-06)
Mehlig, Bernhard and Wilkinson, Michael
Annalen der Physik, 10(6-7) (pp. 541-559)
Absorption of energy at a metallic surface due to a normal electric field (2001-04-02)
Wilkinson, Michael
Journal of Physics: Condensed Matter, 13(13) (pp. 2901-2918)
Spectral correlations: understanding oscillatory contributions (2001-04)
Mehlig, B. and Wilkinson, M.
Physical Review E, 63(4) (p 45203)
Non-universality of chaotic classical dynamics: implications for quantum chaos (2001)
Wilkinson, M.
Physica Scripta, 2001(T90) (pp. 75-79)
Absorption of low-frequency radiation by small metallic particles: a semiclassical random phase approximation (2000-12-18)
Wikinson, M. and Mehlig, B.
Journal of Physics: Condensed Matter, 12(50) (pp. 10481-10498)
Planet formation by concurrent collapse (2012)
Wilkinson, Michael and Mehlig, Bernhard
In : Let's Face Chaos Through Nonlinear Dynamics: 8th International Summer School/Conference (26 Jun - 10 Jul 2011, Maribor, Slovenia) (pp. 375-388)