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Selected publications:
Selected publications:


{| class="wikitable"  align="center" border="1"
* B.Ph. van Milligen, G. Birkenmeier, M. Ramisch, T. Estrada, C. Hidalgo, and A. Alonso, ''Causality detection and turbulence in fusion plasmas'', [[doi:10.1088/0029-5515/54/2/023011|Nucl. Fusion '''54''' (2014), 023011]]
|- valign="top"
* B.Ph. van Milligen et al, ''Parallel and perpendicular turbulence correlation length in the TJ-II Stellarator'', [[doi:10.1088/0029-5515/53/9/093025|Nucl. Fusion '''53''' (2013) 093025]]
| [[Continuous Time Random Walk|Random walks]] and non-Gaussian statistics, [[Non-diffusive transport|non-diffusive]] and [[Anomalous transport|anomalous transport]], [[Self-Organised Criticality]]
* P.D. Bons, B.Ph. van Milligen, P. Blum, ''A general unified expression for solute and heat dispersion in homogeneous porous media'', [[doi:10.1002/wrcr.20488|Water Resour. Res. '''49''' (2013) 1]]
|
* B.Ph. van Milligen et al, ''Spatiotemporal and wavenumber resolved bicoherence at the low to high confinement transition in the TJ-II stellarator'', [[doi:10.1088/0029-5515/53/11/113034|Nucl. Fusion '''53''' (2013) 113034]]
* [[doi:10.1063/1.1701893|B.Ph. van Milligen, R. Sánchez, and B.A. Carreras, ''Probabilistic finite-size transport models for fusion: anomalous transport and scaling laws'', Phys. Plasmas '''11''', 5 (2004) 2272]]
* B. Ph. van Milligen, R. Sánchez, and C. Hidalgo, ''Relevance of Uncorrelated Lorentzian Pulses for the Interpretation of Turbulence in the Edge of Magnetically Confined Toroidal Plasmas'', [[doi:10.1103/PhysRevLett.109.105001|Phys. Rev. Lett. '''109''' (2012) 105001]]
* [[doi:10.1063/1.1763915|B.Ph. van Milligen, B.A. Carreras, and R. Sánchez, ''Uphill transport and the probabilistic transport model'', Phys. Plasmas '''11''', 3787 (2004)]]
* B.Ph. van Milligen, P.D. Bons, ''Analytical model for tracer dispersion in porous media'', [[doi:10.1103/PhysRevE.85.011306|Phys. Rev. E 85 (2012) 011306]]
* [[doi:10.1088/1751-8113/41/21/215004|B.Ph. van Milligen, I. Calvo, and R. Sánchez, ''Continuous time random walks in finite domains and general boundary conditions: some formal considerations'', J. Phys. A: Math. Theor. '''41''' (2008) 215004]]
* B.Ph. van Milligen, L. García, B.A. Carreras, M.A. Pedrosa, C. Hidalgo, J.A. Alonso, T. Estrada and E. Ascasíbar, ''MHD mode activity and the velocity shear layer at TJ-II'', [[doi:10.1088/0029-5515/52/1/013006|Nucl. Fusion '''52''' (2012) 013006]]
* [[doi:10.1088/0029-5515/47/3/004|B.Ph. van Milligen, B.A. Carreras, V.E. Lynch and R. Sánchez, ''Pulse propagation in a simple probabilistic transport model'', Nucl. Fusion '''47''' (2007) 189]]
* B.Ph. van Milligen, T. Estrada, E. Ascasíbar, et al, ''Integrated data analysis at TJ-II: the density profile'', [[doi:10.1063/1.3608551|Rev. Sci. Instrum. '''82''' (2011) 073503]]
* [http://www.jspf.or.jp/PFR/PFR_articles/pfr2008S1/pfr2008_03-S1070.html B.Ph. van Milligen et al, ''Quantifying profile stiffness'', Plasma and Fusion Research, '''3''' (2008) S1070]
* R.S. Wilcox, B.Ph. van Milligen, C. Hidalgo, et al., ''Measurements of bicoherence and long-range correlations during biasing in the HSX stellarator'', [[doi:10.1088/0029-5515/51/8/083048|Nucl. Fusion '''51''' (2011) 083048]]
* [[doi:10.1103/PhysRevLett.109.105001|B. Ph. van Milligen, R. Sánchez, and C. Hidalgo, ''Relevance of Uncorrelated Lorentzian Pulses for the Interpretation of Turbulence in the Edge of Magnetically Confined Toroidal Plasmas'',  Phys. Rev. Lett. '''109''' (2012) 105001]]
* B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', [[doi:10.1088/0029-5515/51/5/053022|Nucl. Fusion '''51''' (2011) 053022]]
|- valign="top"
* B.Ph. van Milligen et al, ''A global resonance phenomenon at the TJ-II stellarator'', [[doi:10.1088/0029-5515/51/1/013005|Nucl. Fusion '''51''' (2011) 013005]]
| General diffusion
* B.Ph. van Milligen et al, ''The dynamics of the formation of the edge particle transport barrier at TJ-II'', [[doi:10.1088/0029-5515/51/11/113002|Nucl. Fusion '''51''' (2011) 113002]]
|
* B.Ph. van Milligen, I. Calvo, and R. Sánchez, ''Continuous time random walks in finite domains and general boundary conditions: some formal considerations'', [[doi:10.1088/1751-8113/41/21/215004|J. Phys. A: Math. Theor. '''41''' (2008) 215004]]
* [[doi:10.1088/0143-0807/26/5/023|B.Ph. van Milligen, P.D. Bons, B.A. Carreras and R. Sánchez, ''On the applicability of Fick's Law to diffusion in inhomogeneous systems'', Eur. J. Phys. '''26''' (2005) 913]]
* B.Ph. van Milligen et al, ''Quantifying profile stiffness'', [http://www.jspf.or.jp/PFR/PFR_articles/pfr2008S1/pfr2008_03-S1070.html Plasma and Fusion Research, '''3''' (2008) S1070]
* [[doi:10.1088/0741-3335/47/12B/S56|B.Ph. van Milligen, B.A. Carreras and R. Sánchez, ''The foundations of diffusion revisited'', Plasma Phys. Control. Fusion '''47''' (2005) B743]]
* B.Ph. van Milligen et al, ''Bicoherence during confinement transitions in the TJ-II stellarator'', [[doi:10.1088/0029-5515/48/11/115003|Nucl. Fusion '''48''' (2008) 115003]]
* [[doi:10.1103/PhysRevE.85.011306|B.Ph. van Milligen, P.D. Bons, ''Analytical model for tracer dispersion in porous media'', Phys. Rev. E 85 (2012) 011306]]
* B.Ph. van Milligen, B.A. Carreras, V.E. Lynch and R. Sánchez, ''Pulse propagation in a simple probabilistic transport model'', [[doi:10.1088/0029-5515/47/3/004|Nucl. Fusion '''47''' (2007) 189]]
* [[doi:10.1002/wrcr.20488|P.D. Bons, B.Ph. van Milligen, P. Blum, ''A general unified expression for solute and heat dispersion in homogeneous porous media'', Water Resour. Res. '''49''' (2013) 1]]
* B.Ph. van Milligen, P.D. Bons, B.A. Carreras and R. Sánchez, ''On the applicability of Fick's Law to diffusion in inhomogeneous systems'', [[doi:10.1088/0143-0807/26/5/023|Eur. J. Phys. '''26''' (2005) 913]]
|- valign="top"
* B.Ph. van Milligen, B.A. Carreras and R. Sánchez, ''The foundations of diffusion revisited'', [[doi:10.1088/0741-3335/47/12B/S56|Plasma Phys. Control. Fusion '''47''' (2005) B743]]
| Neural networks
* B.Ph. Van Milligen et al, ''Additional evidence for the universality of turbulent fluctuations and fluxes in the scrape-off layer region of fusion plasmas'', [[doi:10.1063/1.1884615|Phys. Plasmas '''12''' (2005) 052507]]
|
* B.Ph. van Milligen, R. Sánchez, and B.A. Carreras, ''Probabilistic finite-size transport models for fusion: anomalous transport and scaling laws'', [[doi:10.1063/1.1701893|Phys. Plasmas '''11''', 5 (2004) 2272]]
* [[doi:10.1103/PhysRevLett.75.3594|B.Ph. van Milligen, V. Tribaldos, J.A. Jiménez, ''A neural network differential equation and plasma equilibrium solver'', Phys. Rev. Lett. '''75''' (1995) 3594]]
* B.Ph. van Milligen, B.A. Carreras, and R. Sánchez, ''Uphill transport and the probabilistic transport model'', [[doi:10.1063/1.1763915|Phys. Plasmas '''11''', 3787 (2004)]]
|- valign="top"
* B.Ph. van Milligen et al, ''Revision of TV Thomson scattering data analysis and detection of profile structure'', [[doi:10.1063/1.1597951|Rev. Sci. Instrum. '''74''' (2003) 3998]]
| [[MHD equilibrium|Equilibrium]] calculations, [[Toroidal coordinates|toroidal harmonics]]
* B.Ph. van Milligen, E. de la Luna, F.L. Tabarés, et al., ''Ballistic transport phenomena in TJ-II'', [[doi:10.1088/0029-5515/42/7/301|Nucl. Fusion '''42''' (2002) 787]]
|
* B.A. Carreras, B.Ph. van Milligen, et al, ''Experimental evidence of long-range correlation and self-similarity in plasma fluctuations'', [[doi:10.1063/1.873490|Phys. Plasmas '''6''', 5 (1999) 1885]]
* [[doi:10.1088/0029-5515/30/1/012|B.Ph. van Milligen, ''Exact relations between multipole moments of the flux and moments of the toroidal current density in tokamaks'', Nucl. Fusion '''30''' (1990) 157]]
* B.Ph. van Milligen et al, ''Statistically robust linear and non-linear wavelet analysis applied to plasma edge turbulence'', [[doi:10.1063/1.1147727|Rev. Sci. Instrum. '''68''' (1997) 967]]
* [[doi:10.1016/0010-4655(94)90112-0|B.Ph. van Milligen and A. Lopez Fraguas, ''Expansion of vacuum magnetic fields in toroidal harmonics'', Computer Physics Communications '''81''', Issues 1-2 (1994) 74-90]]
* V. Tribaldos and B. P. van Milligen, ''Electron cyclotron emission calculations for TJ-II stellarator'', [[doi:10.1088/0029-5515/36/3/I02|Nucl. Fusion '''36''', 283 (1996)]]
|- valign="top"
* B.Ph. van Milligen, V. Tribaldos, J.A. Jiménez, ''A neural network differential equation and plasma equilibrium solver'', [[doi:10.1103/PhysRevLett.75.3594|Phys. Rev. Lett. '''75''' (1995) 3594]]
| Fast profile reconstruction using [[Function parametrization]]
* B.Ph. van Milligen et al, ''Nonlinear phenomena and intermittency in plasma turbulence'', [[doi:10.1103/PhysRevLett.74.395|Phys. Rev. Lett. '''74''', 3 (1995) 395]]
|
* B.Ph. van Milligen et al, ''Wavelet bicoherence: a new turbulence analysis tool'', [[doi:10.1063/1.871199|Phys. Plasmas '''2''', 8 (1995) 3017]]
* [[doi:10.1016/0010-4655(91)90073-T|B.Ph. van Milligen, N.J. Lopes Cardozo, ''Function Parametrization: a fast inverse mapping method'', Comp. Phys. Commun. '''66''' (1991) 243]]
* B.Ph. van Milligen and A. Lopez Fraguas, ''Expansion of vacuum magnetic fields in toroidal harmonics'', [[doi:10.1016/0010-4655(94)90112-0|Comp. Phys. Commun. '''81''', Issues 1-2 (1994) 74-90]]
* [[doi:10.1088/0029-5515/31/2/007|B.Ph. van Milligen et al., ''Application of Function Parametrization to the analysis of polarimetry and interferometry data in TEXTOR'', Nucl. Fusion '''31''' (1991) 309]]
* B.Ph. van Milligen, A.C.A.P. van Lammeren, N.J. Lopes Cardozo, F.C. Schüller, and M. Verreck, ''Gradients of electron temperature and density across m=2 islands in RTP'', [[doi:10.1088/0029-5515/33/8/I03|Nucl. Fusion '''33''' (1993) 1119]]
|- valign="top"
* B.Ph. van Milligen, N.J. Lopes Cardozo, ''Function Parametrization: a fast inverse mapping method'', [[doi:10.1016/0010-4655(91)90073-T|Comp. Phys. Commun. '''66''' (1991) 243]]
| [[Bayesian data analysis]]
* B.Ph. van Milligen et al., ''Application of Function Parametrization to the analysis of polarimetry and interferometry data in TEXTOR'', [[doi:10.1088/0029-5515/31/2/007|Nucl. Fusion '''31''' (1991) 309]]
|
* B.Ph. van Milligen, ''Exact relations between multipole moments of the flux and moments of the toroidal current density in tokamaks'', [[doi:10.1088/0029-5515/30/1/012|Nucl. Fusion '''30''' (1990) 157]]
* [[doi:10.1063/1.3608551|B.Ph. van Milligen, T. Estrada, E. Ascasíbar, et al, ''Integrated data analysis at TJ-II: the density profile'', Rev. Sci. Instrum. '''82''' (2011) 073503]]
|- valign="top"
| [[Biorthogonal decomposition]] ||
|- valign="top"
| Analysis and interpretation of diagnostic output, e.g.:
* [[TJ-II:Thomson Scattering|Thomson Scattering]]
* [[TJ-II:Reflectometry|Reflectometry]]
* [[TJ-II:Interferometry|Interferometry]]
* [[TJ-II:Electron Cyclotron Emission|Electron Cyclotron Emission]]
* [[TJ-II:Heavy Ion Beam Probe|Heavy Ion Beam Probe]]
* [[TJ-II:Magnetics|Magnetics]]
* [[TJ-II:Langmuir Probes|Langmuir Probes]]
* [[TJ-II:Helium Beam|Helium Beam]]
|
* [[doi:10.1088/0029-5515/36/3/I02|V. Tribaldos and B. P. van Milligen, ''Electron cyclotron emission calculations for TJ-II stellarator'', Nucl. Fusion '''36''', 283 (1996)]]
* [[doi:10.1063/1.1597951|B.Ph. van Milligen et al, ''Revision of TV Thomson scattering data analysis and detection of profile structure'', Rev. Sci. Instrum. '''74''' (2003) 3998]]
|- valign="top"
| [[Magnetic island]]s
|
* [[doi:10.1088/0029-5515/33/8/I03|B.Ph. van Milligen, A.C.A.P. van Lammeren, N.J. Lopes Cardozo, F.C. Schüller, and M. Verreck, ''Gradients of electron temperature and density across m=2 islands in RTP'', Nucl. Fusion '''33''' (1993) 1119]]
* [[doi:10.1088/0029-5515/52/1/013006|B.Ph. van Milligen, L. García, B.A. Carreras, M.A. Pedrosa, C. Hidalgo, J.A. Alonso, T. Estrada and E. Ascasíbar, ''MHD mode activity and the velocity shear layer at TJ-II'', Nucl. Fusion '''52''' (2012) 013006]]
|- valign="top"
| Analysis of [[TJ-II:Turbulence|turbulence]] and transport
|
* [[doi:10.1088/0029-5515/42/7/301|B.Ph. van Milligen, E. de la Luna, F.L. Tabarés, et al., ''Ballistic transport phenomena in TJ-II'', Nucl. Fusion '''42''' (2002) 787]]
* [[doi:10.1063/1.1884615|B.Ph. Van Milligen et al, ''Additional evidence for the universality of turbulent fluctuations and fluxes in the scrape-off layer region of fusion plasmas'', Phys. Plasmas '''12''' (2005) 052507]]
* [[doi:10.1088/0029-5515/53/9/093025|B.Ph. van Milligen et al, ''Parallel and perpendicular turbulence correlation length in the TJ-II Stellarator'', Nucl. Fusion '''53''' (2013) 093025]]
|- valign="top"
| Non-linear and non-standard [[Data analysis techniques|data analysis techniques]]
* [[Bicoherence]]
* Hilbert-Huang transform
* Hurst or rescaled-range analysis, structure functions, etc.
|
* [[doi:10.1103/PhysRevLett.74.395|B.Ph. van Milligen et al, ''Nonlinear phenomena and intermittency in plasma turbulence'', Phys. Rev. Lett. '''74''', 3 (1995) 395]]
* [[doi:10.1063/1.871199|B.Ph. van Milligen et al, ''Wavelet bicoherence: a new turbulence analysis tool'', Phys. Plasmas '''2''', 8 (1995) 3017]]
* [[doi:10.1063/1.1147727|B.Ph. van Milligen et al, ''Statistically robust linear and non-linear wavelet analysis applied to plasma edge turbulence'', Rev. Sci. Instrum. '''68''' (1997) 967]]
* [[doi:10.1063/1.873490|B.A. Carreras, B.Ph. van Milligen, et al, ''Experimental evidence of long-range correlation and self-similarity in plasma fluctuations'', Phys. Plasmas '''6''', 5 (1999) 1885]]
* [[doi:10.1088/0029-5515/48/11/115003|B.Ph. van Milligen et al, ''Bicoherence during confinement transitions in the TJ-II stellarator'', Nucl. Fusion '''48''' (2008) 115003]]
* [[doi:10.1088/0029-5515/51/8/083048|R.S. Wilcox, B.Ph. van Milligen, C. Hidalgo, et al., ''Measurements of bicoherence and long-range correlations during biasing in the HSX stellarator'', Nucl. Fusion '''51''' (2011) 083048]]
* [[doi:10.1088/0029-5515/51/5/053022|B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', Nucl. Fusion '''51''' (2011) 053022]]
* [[doi:10.1088/0029-5515/54/2/023011|B.Ph. van Milligen, G. Birkenmeier, M. Ramisch, T. Estrada, C. Hidalgo, and A. Alonso, ''Causality detection and turbulence in fusion plasmas'', Nucl. Fusion '''54''' (2014), 023011]]
|- valign="top"
| [[TJ-II:Confinement transitions|Confinement transitions]]
|
* [[doi:10.1088/0029-5515/51/1/013005|B.Ph. van Milligen et al, ''A global resonance phenomenon at the TJ-II stellarator'', Nucl. Fusion '''51''' (2011) 013005]]
* [[doi:10.1088/0029-5515/51/11/113002|B.Ph. van Milligen et al, ''The dynamics of the formation of the edge particle transport barrier at TJ-II'', Nucl. Fusion '''51''' (2011) 113002]]
* [[doi:10.1088/0029-5515/53/11/113034|B.Ph. van Milligen et al, ''Spatiotemporal and wavenumber resolved bicoherence at the low to high confinement transition in the TJ-II stellarator'', Nucl. Fusion '''53''' (2013) 113034]]
|- valign="top"
| [[TJ-II:Tomography|Tomography]] ||
|}
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