Peter D. Ditlevsen, Publications

Kolja Kypke and Peter Ditlevsen, On the representation of multiplicative noise in modeling Dansgaard-Oeschger events, Physica D: Nonlinear Phenomena, 466, 134215 , 2024.

J Lohmann, HA Dijkstra, M Jochum, V Lucarini, PD Ditlevsen, Multistability and Intermediate Tipping of the Atlantic Ocean Circulation, Science Advances, 10, 12, 2024.

I del Amo, P Ditlevsen, Escape by jumps and diffusion by {\alpha}-stable noise across the barrier in a double well potential, preprint arXiv:2308.05684., 2023

P Ditlevsen, S Ditlevsen, Warning of a forthcoming collapse of the Atlantic meridional overturning circulation, Nature Communications 14 (1), 1-12, 2023.

Peter Ditlevsen, The Pleistocene Glacial Cycles and Millennial-Scale Climate Variability, Atmosphere-Ocean, Volume 60 Issue 3-4, 2022.

Jualin Lin et al., Current Challenges in Climate and Weather Research and Future Directions, Atmosphere-Ocean, Volume 60 Issue 3-4, 2022.

Guido Vettoretti, Peter Ditlevsen, Markus Jochum and Sune O. Rasmussen, Atmospheric CO2 control of spontaneous millennial-scale ice age climate oscillations, Nature Geoscience volume 15, pages 300-306, 2022.

Johannes Lohmann, Daniele Castellana, Peter D. Ditlevsen and Henk A. Dijkstra, Abrupt climate change as rate-dependent cascading tipping point, submitted to ESD, 2021.

Johannes Lohmann and Peter Ditlevsen, Risk of tipping the overturning circulation due to increasing rates of ice melt, PNAS, 118 (9), e2017989118, 2021.

Anna S. von der Heydt, Peter Ashwin, Charles D. Camp, Michel Crucfix, Henk A. Dijkstra, Peter Ditlevsen and Timothy M. Lenton, Quantfication and Interpretation of the Climate Variability Record, Global and Planetary Change, 197, 103399, 2021.

Tommaso Alberti, Giuseppe Consolini, Peter D. Ditlevsen, Reik V. Donner and Virgilio Quattrociocchi, Multiscale measures of phase-space trajectories, Chaos, Vol. 30, Issue 12, 2020

Peter Ditlevsen, Takahito Mitsui and Michel Crucifix, Crossover and peaks in the Pleistocene climate spectrum; understanding from simple ice age models, Climate Dynamics, 54, 1801-1818, 2020.

Itzhak Fouxon and Peter Ditlevsen, Refined central limit theorem and infinite density tail of the Lorentz gas from Levy walk, Journal of Physics A, xx, xxx, 2020.

Karl Nyman, Peter Ashwin and Peter Ditlevsen, Bifurcation of critical sets and relaxation oscillations in singular fast-slow systems, Nonlinearity, 33, 2853-2904, 2020.

Aslak Grinsted, Peter Ditlevsen and Jens Hesselbjerg Christensen, Normalized US hurricane damage estimates using area of total destruction, 1900-2018, PNAS, 116, DOI: 10.1073/pnas.1912277116, 2019.

Nicholas Rathmann and Peter Ditlevsen, Partial Invariants, Large-scale Dynamo Action, and the Inverse Transfer of Magnetic Helicity, The Astrophysical Journal, 887, 95, 2019.

Karl H. M. Nyman and Peter Ditlevsen, The Middle Pleistocene Transition by frequency locking and slow ramping of internal period, Clim Dyn., 2019.

Johannes Lohmann and Peter Ditlevsen, Objective extraction and analysis of statistical features of Dansgaard-Oeschger events, Climate of the Past, 15, 1771-1792, 2019.

Johannes Lohmann and Peter Ditlevsen, A consistent model selection analysis of abrupt glacial climate changes, Climate Dynamics,, 2018.

Johannes Lohmann and Peter Ditlevsen, Random and externally controlled occurrence of Dansgaard-Oeschger events, Clim. Past, 14, 609-617, 2018.

Itzhak Fouxon, Lukas Schmidt, Peter Ditlevsen, Maarten van Reeuwijk, and Markus Holzner, Inhomogeneous growth of fluctuations of concentration of inertial particles in channel turbulence, Physical Review Fluids, 3, 064301, 2018.

Ditlevsen PD and Ashwin P, Complex Climate Response to Astronomical Forcing: The Middle-Pleistocene Transition in Glacial Cycles and Changes in Frequency Locking. Front. Phys. 6:62. doi: 10.3389/fphy.2018.0006,2,2018

Arianna Marchionne, Peter Ditlevsen and Sebastian Wieczorek, Synchronisation vs. resonance: Isolated resonances in damped nonlinear oscillators, Physica D 380-381, 8-16, 2018.

P Ditlevsen and M. Crucifix, On the importance of centennial variability for ice ages, Past Global Changes Magazine 25, 152, 2017.

Nicholas M. Rathmann and Peter D. Ditlevsen, Pseudo-invariants contributing to inverse energy cascades in three-dimensional turbulence, Physical Review Fluids 2, 054607, 2017

Troels Bogeholm Mikkelsen, Aslak Grinsted and Peter D. Ditlevsen, Influence of temperature fluctuations on equilibrium ice sheet volume, The Cryosphere, tc-2017-47

Peter D. Ditlevsen, "Tipping Points in the Climate System", in "Nonlinear and Stochastic Climate Dynamics" (Ed. Christian Franzke and Terence O'Kane), Cambridge Univ. Press, 2017

Nicholas M. Rathmann and Peter D. Ditlevsen, Role of helicity in triad interactions in three-dimensional turbulence investigated by a new shell model, Phys. Rev. E, 94, 033115, 2016.

A. S. von der Heydt, H. A. Dijkstra, R. S. W. van de Wal, R. Caballero, M. Crucifix, G. L. Foster, M. Huber, P. Kohler, E. Rohling, P. J. Valdes, P. Ashwin, S. Bathiany, T. Berends, L. G. J. van Bree, P. Ditlevsen, M. Ghil, A. M. Haywood, J. Katzav, G. Lohmann, J. Lohmann, V. Lucarini, A. Marzocchi, H. Palike, I. Ruvalcaba Baroni, D. Simon, A. Sluijs, L. B. Stap, A. Tantet, J. Viebahn, M. Ziegler,, Lessons on Climate Sensitivity From Past Climate Changes, Curr Clim Change Reports, DOI 10.1007/s40641-016-0049-3, (2016).

Zhi-Gang Shao and P. D. Ditlevsen, "Contrasting scaling properties of interglacial and glacial climates", Nature Communications 7, 10951, 2016.

Istvan Daruka and Peter Ditlevsen, "A conceptual model for glacial cycles and the middle Pleistocene transition", Climate Dynamics, 46, 29-40, 2015.

Peter Ashwin and Peter Ditlevsen, "The middle Pleistocene transition as a generic bifurcation on a slow manifold", Climate Dynamics, 45, 2683, 2015.

Peter Ditlevsen and Ivana Cvijanovic, Fluctuations and seasonality in the Arctic sea ice area: A sudden regime shift in 2007? ArXive, 2013.

Cvijanovic, I., Langen, P. L., Kaas, E. and P. D. Ditlevsen, "Southward Intertropical Convergence Zone shifts and implications for an atmospheric bipolar seesaw", Journal of Climate, 26, 12, 2013.

D. Dahl-Jensen et al., "Eemian interglacial reconstructed from a Greenland folded ice core", Nature, 493, 7433, 2013.

Peter Ditlevsen, Robust seasonal cycle of Arctic sea ice area through tipping point in amplitude, ArXive, 2012.

Peter D. Ditlevsen, "A stochastic model of cascades in 2D turbulence", Physics of Fluids, 24, 105109, 2012

Peter D. Ditlevsen, "Predictability in Question: On Climate Modelling in Physics", book chapter in "Anticipating Nature", ed. Kirsten Hastrup, Routledge, 2012

V. N. Livina, P. D. Ditlevsen, and T. M. Lenton, "An independent test of methods of detecting and anticipating bifurcations in time-series data", Physica A, 391, 485, 2012

P. D. Ditlevsen, "Structural and stochastic transitions in the climate ", ENOC 2011, Rome, 24-29 July, 2011

Peter Ditlevsen, "Om brug af enkle eksperimenter i begynderundervisningen i fysik", Antologi Majkonference, 2011

H. Braun, P. Ditlevsen, J. Kurths and M. Mudelsee, "A two-parameter stochastic process for Dansgaard-Oeschger events", Paleoceanography, 26, PA3214, 2011

A. Persson, P. Langen, P. Ditlevsen and B. Vinther, "The influence of precipitation weighting on interannual variability of stable water isotopes in Greenland", Journal of Geophysical Research, 116, D20120, 2011

Peter D. Ditlevsen and Holger Braun, "Pseudo resonance induced quasi-periodic behavior in stochastic threshold dynamics", Stochastics and Dynamics, 2-3, 315, 2011

Peter D. Ditlevsen, "Turbulence and Shell Models", Cambridge University Press, 2010

P. D. Ditlevsen and S. Johnsen, "Tipping points: Early warning and wishful thinking", Geophys. Res. Lett., 37, L19703, doi:10.1029/2010GL044486, 2010

P. D. Ditlevsen, "Extension of stochastic resonance in the dynamics of ice ages", Chemical Physics, doi:10.1016/j.chemphys.2010.05.022, 2010

H. Braun, P. Ditlevsen, J. Kurths and M. Mudelsee, "Limitations of red noise in analysing Dansgaard-Oeschger events", Climate of the Past, 6, 85-92, 2010.

H. Braun, P. Ditlevsen and J. Kurths, "New measures of multimodality for the detection of a ghost stochastic resonance", Chaos, 19, 043132, 2009

Peter D. Ditlevsen, "The bifurcation structure and noise assisted transitions in the Pleistocene glacial cycles", Paleoceanography, 24, PA3204, 2009

Peter D. Ditlevsen, "Life as a greenhouse climate regulator through Earths history", preprint

Peter D. Ditlevsen, "Climate transitions on long timescales", Contemporary Physics, 50, 511-532, 2009

Peter D. Ditlevsen and Ove D. Ditlevsen, "On the stochastic nature of the rapid climate shifts during the last ice age", Journal of Climate, 22, 446-457, 2009

Peter Nørtoft Nielsen and Peter Ditlevsen, "On the homeostasis and bistability on a Gaian planet", Planetary and Space Science, 57, 491-497, 2009

H Braun, P. Ditlevsen and D. R. Chialvo, "Solar forced Dansgaard-Oeschger events and their phase relation with solar proxies", Geophys. Res. Lett., 35, L06703, 2008.

P. D. Ditlevsen, K. K. Andersen, and A. Svensson, "The DO-climate events are probably noise induced: statistical investigation of the claimed 1470 years cycle", Climate of the Past, 3, 129-134, 2007.

K. K. Andersen, P. D. Ditlevsen, S. O. Rasmussen, H. B. Clausen, B. M. Vinter, S. J. Johnsen and J. P. Steffensen, "Retrieving a common accumulation record from various Greenland ice cores for the past 1800 years", Journ. Geophys. Res., 111, D15106, 2006.

P. D. Ditlevsen, M. S. Kristensen and K. K. Andersen, 'The recurrence time of Dansgaard-Oeschger events and limits on the possible periodic component', Journal of Climate, 18, 2594-2603, 2005.

Peter D. Ditlevsen, "A climatic thermostat making Earth habitable", International Journal of Astrobiology, 4, 3-7, 2005.

P. D. Ditlevsen, M. H. Jensen and P. Olesen, 'Scaling and the prediction of energy spectra in decaying hydrodynamic turbulence', Physica A, 342, 471, 2004.

P. D. Ditlevsen, 'Turbulence and Climate dynamics', 349 pages, Frydenberg, 2004.

P. D. Ditlevsen, S. Ditlevsen and K. K. Andersen, 'The fast climate fluctuations during the statial and interstadial climate states', Ann. Glaciology, 35, 457, 2002.

P. D. Ditlevsen and P. Giulani, "Cascades in helical turbulence", Phys. Rev. E. 63, 036304, 2001.

P. D. Ditlevsen and P. Giuliani, "Dissipation in helical turbulence", Phys. Fluids, Nov 2001.

Katrine K. Andersen, Peter Ditlevsen and Jørgen Peder Steffensen, "Ice Cores and Paleoclimate" in "Climate Change Research, Danish Contributions", Gads Forlag, 2001.

P. D. Ditlevsen, "Stochastic climate dynamics observed in an ice-core record", Proceedings ISSAOS 2001, l'Aquilla, 2001.

P. D. Ditlevsen and P. Giuliani, "An inner scale for dissipation of helicity in turbulence", Advances in Turbulence VIII, CIMNE Barcelona, 2000, 847-850.

P. D. Ditlevsen and P. Giuliani, "Anomalous scaling in a shell model of helical turbulence", Physica A, 280 (2000) 69-74.

P. D. Ditlevsen, "Symmetries, invariants and cascades in a shell model of turbulence", Phys. Rev. E, 62, 484-489, 2000

P. D. Ditlevsen, "Observation of alpha-stable noise and a bistable climate potential in an ice-core record", Geophys. Res. Lett 26, 1441-1444, 1999.

David M. Straus and Peter Ditlevsen, "Two dimensional Turbulence properties of the ECMWF Reanalyses",  Tellus, 51A, 749-772, 1999.

P.D.Ditlevsen, "Anomalous jumping in a double-well potential", Phys. Rev. E 60, 172-179, 1999.

P.D.Ditlevsen and N. D. Marsh, " New method for identification of sources for chemical time series, and its application to the Greenland Ice Sheet Project ice-core record.", Journ. Geophys. Res. vol. 103, D5, 5649-5659, 1998.

K. K. Andersen and P. D. Ditlevsen, "Glacial/interglacial variations of meridional transport and washout of dust: A one-dimensional model", Journ. Geophys. Res. vol. 103, 8955-8962, 1998.

Ove Ditlevsen and Peter Ditlevsen, "Systems Driven by Alpha-stable Noises", Preceedings, 12th  Engeneering Mechanics Division Conference, La Jolla, California, May 17-20, CDROM, 1998.

P. D. Ditlevsen, "Very long time scale signature of intermittency in the atmospheric flow", U. Frisch (ed.), Advances in Turbulence VII, 449-452, 1998.

P.D. Ditlevsen, "Cascades of energy and helicity in the GOY shell model of turbulence", Phys. Fluids, 9, 1482-1484, 1997.

P. D. Ditlevsen, "A note on 1D calculations of baroclinic and barotropic instabilities", Tellus, 49A, 337-346, 1997.

N. D. Marsh and P. D. Ditlevsen, "Observation of atmospheric and climate dynamics from a high resolution ice core record of a passive tracer over the last glaciation", Journ. Geophys. Res., vol. 102, D10, 11219-11224, 1997.

N. D. Marsh and P. D. Ditlevsen, "Climate during glaciation and deglaciation identified through chemical tracers in ice-cores", Geophys. Res. Letters, vol. 24, 1319-1322, 1997

P. D. Ditlevsen, H. Svensmark and S. Johnsen, "Contrasting atmospheric and climatic dynamics of last-glacial and Holocene periods", Nature 379, 810-812, 1996.

P.D. Ditlevsen, "Temporal intermittency and cascades in shell models of turbulence", Phys. Rev. E. 54, 985-988, 1996.

P.D. Ditlevsen and I. A. Mogensen, "Cascades and statistical equilibrium in shell models of turbulence", Phys. Rev. E., 53, 4785-4793, 1996.

"Modern Dynamical Meteorology, Symposium in honor of Professor Aksel Wiin-Nielsen", Proceedings, 221 pages, 1995, Editor P. D. Ditlevsen.

P. D. Ditlevsen, "A shell model of cascades in turbulent flow", Proceedings from "Modern Dynamical Meteorology ...", 163-167, 1995.

P. D. Ditlevsen, D. E. Gardin, M. A. Van Hove and G. A. Somorjai, "Molecular Modeling of Amine Dehydrogenation on Ni(111)", LANGMUIR 9, 1500-1503, 1993.

P. D. Ditlevsen, M. A. Van Hove and G. A. Somorjai, "Molecular modeling of ethylene decomposition on platinum surfaces", Surface Science 292, 267-275, 1993.

P. D. Ditlevsen, P. Stoltze and J. K. Norskov, "Anharmonicity and Disorder on the Cu(110) Surface", Phys. Rev. B 44, 13002-13009, 1992.

P. D. Ditlevsen and J. K. Norskov, "Vibrational properties of aluminum, nickel and copper surfaces" Surface Science 254, 261-274, 1991.

P. D. Ditlevsen and J. K. Norskov, "The surface phonons of Cu(111)", in Proceedings of Vibrations at Surfaces VI, J. Elec. Spectroscopy and Related Phenomena, 54/55, 237-240, 1990.

O. B. Christensen, P. D. Ditlevsen, O. H. Nielsen, K. W. Jacobsen and J. K. Norskov, "Hydrogen Interactions in Palladium", in Characterizing Complex Systems edited by H. Bohr, World Scientific, 1990.

O. B. Christensen, P. D. Ditlevsen, P. Stoltze, O. H. Nielsen, K. W. Jacobsen and J. K. Norskov, "H-H Interactions in Pd", Phys. Rev. B 40, 1993-1996, 1989.