Number of documents

59


Journal articles36 documents

  • Nils Berglund, Christian Kuehn. Corrigendum to " Regularity structures and renormalisation of FitzHugh-Nagumo SPDEs in three space dimensions ". Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2019, 24, pp.113. ⟨hal-01788021v2⟩
  • Manon Baudel, Nils Berglund. Spectral theory for random Poincaré maps. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2017, 49 (6), pp.4319-4375. ⟨10.1137/16M1103816⟩. ⟨hal-01397184v2⟩
  • Nils Berglund, Giacomo Di Gesù, Hendrik Weber. An Eyring–Kramers law for the stochastic Allen–Cahn equation in dimension two. Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2017, 22 (41), pp.1-27. ⟨10.1214/17-EJP60⟩. ⟨hal-01304559v3⟩
  • Nils Berglund, Christian Kuehn. Model Spaces of Regularity Structures for Space-Fractional SPDEs. Journal of Statistical Physics, Springer Verlag, 2017, 168 (2), pp.331-368. ⟨10.1007/s10955-017-1801-3⟩. ⟨hal-01432157v2⟩
  • Nils Berglund. Noise-induced phase slips, log-periodic oscillations, and the Gumbel distribution. Markov Processes And Related Fields, Polymat Publishing Company, 2016, 22 (3), pp.467-505. ⟨hal-00967427v2⟩
  • Nils Berglund, Christian Kuehn. Regularity structures and renormalisation of FitzHugh-Nagumo SPDEs in three space dimensions. Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2016, 21 (18), pp.1-48. ⟨10.1214/16-EJP4371⟩. ⟨hal-01141380v2⟩
  • Nils Berglund, Sébastien Dutercq. Interface dynamics of a metastable mass-conserving spatially extended diffusion. Journal of Statistical Physics, Springer Verlag, 2016, 162 (2), pp.334-370. ⟨10.1007/s10955-015-1415-6⟩. ⟨hal-01184873⟩
  • Nils Berglund, Barbara Gentz, Christian Kuehn. From random Poincaré maps to stochastic mixed-mode-oscillation patterns. Journal of Dynamics and Differential Equations, Springer Verlag, 2015, 27 (1), pp.83-136. ⟨10.1007/s10884-014-9419-5⟩. ⟨hal-00921881v2⟩
  • Nils Berglund, Sébastien Dutercq. The Eyring-Kramers law for Markovian jump processes with symmetries. Journal of Theoretical Probability, Springer, 2015, 29 (4), pp.1240-1279. ⟨10.1007/s10959-015-0617-9⟩. ⟨hal-00913302v2⟩
  • Nils Berglund, Barbara Gentz. On the noise-induced passage through an unstable periodic orbit II: General case. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2014, 46 (1), pp.310-352. ⟨10.1137/120887965⟩. ⟨hal-00723729v2⟩
  • Nils Berglund. Kramers' law: Validity, derivations and generalisations. Markov Processes and Related Fields, Polymath, 2013, 19 (3), pp.459-490. ⟨hal-00604399v2⟩
  • Nils Berglund, Barbara Gentz. Sharp estimates for metastable lifetimes in parabolic SPDEs: Kramers' law and beyond. Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2013, 18 (24), pp.1-58. ⟨10.1214/EJP.v18-1802⟩. ⟨hal-00666605v2⟩
  • Nils Berglund, Damien Landon. Mixed-mode oscillations and interspike interval statistics in the stochastic FitzHugh-Nagumo model. Nonlinearity, IOP Publishing, 2012, 25 (8), pp.2303-2335. ⟨10.1088/0951-7715/25/8/2303⟩. ⟨hal-00591089v4⟩
  • Nils Berglund, Barbara Gentz, Christian Kuehn. Hunting French Ducks in a Noisy Environment. Journal of Differential Equations, Elsevier, 2012, 252 (9), pp.4786-4841. ⟨10.1016/j.jde.2012.01.015⟩. ⟨hal-00535928⟩
  • Nils Berglund. Stochastic dynamical systems in neuroscience. Oberwolfach Reports, European Mathematical Society, 2011, 8 (3), pp.2290-2293. ⟨10.4171/OWR/2011/40⟩. ⟨hal-00623551⟩
  • Nils Berglund, Barbara Gentz. The Eyring-Kramers law for potentials with nonquadratic saddles. Markov Processes and Related Fields, Polymath, 2010, 16 (3), pp.549-598. ⟨hal-00294931v2⟩
  • Nils Berglund, Barbara Gentz. Anomalous behavior of the Kramers rate at bifurcations in classical field theories. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2009, 42 (5), pp.052001. ⟨10.1088/1751-8113/42/5/052001⟩. ⟨hal-00321846v2⟩
  • Jean-Philippe Aguilar, Nils Berglund. The effect of classical noise on a quantum two-level system. Journal of Mathematical Physics, American Institute of Physics (AIP), 2008, 49, pp.102102. ⟨10.1063/1.2988180⟩. ⟨hal-00277789⟩
  • Nils Berglund, Bastien Fernandez, Barbara Gentz. Metastability in Interacting Nonlinear Stochastic Differential Equations. II: Large-N Behaviour. Nonlinearity, IOP Publishing, 2007, 20 (11), pp.2583-2614. ⟨10.1088/0951-7715/20/11/007⟩. ⟨hal-00115417v3⟩
  • Nils Berglund, Bastien Fernandez, Barbara Gentz. Metastability in Interacting Nonlinear Stochastic Differential Equations. I: From Weak Coupling to Synchronisation. Nonlinearity, IOP Publishing, 2007, 20 (11), pp.2551-2581. ⟨10.1088/0951-7715/20/11/006⟩. ⟨hal-00115416v3⟩
  • Nils Berglund, Barbara Gentz. Universality of residence-time distributions in non-adiabatic stochastic resonance. Europhys. Letters, 2005, 70, pp.1-7. ⟨10.1209/epl/i2004-10472-2⟩. ⟨hal-00003008⟩
  • Nils Berglund, Barbara Gentz. On the noise-induced passage through an unstable periodic orbit I: Two-level model. Journal of Statistical Physics, Springer Verlag, 2004, 114, pp.1577-1618. ⟨10.1023/B:JOSS.0000013966.54504.da⟩. ⟨hal-00003007⟩
  • Nils Berglund, Barbara Gentz. Geometric singular perturbation theory for stochastic differential equations. Journal of Differential Equations, Elsevier, 2003, 191, pp.1-54. ⟨10.1016/S0022-0396(03)00020-2⟩. ⟨hal-00003006⟩
  • Nils Berglund, Barbara Gentz. The effect of additive noise on dynamical hysteresis. Nonlinearity, IOP Publishing, 2002, 15, pp.605-632. ⟨10.1088/0951-7715/15/3/305⟩. ⟨hal-00003012⟩
  • Nils Berglund, Barbara Gentz. A sample-paths approach to noise-induced synchronization: Stochastic resonance in a double-well potential. Annals of Applied Probability, Institute of Mathematical Statistics (IMS), 2002, 12, pp.1419-1470. ⟨10.1214/aoap/1037125869⟩. ⟨hal-00003010⟩
  • Nils Berglund, Barbara Gentz. Pathwise description of dynamic pitchfork bifurcations with additive noise. Probability Theory and Related Fields, Springer Verlag, 2002, pp.341-388. ⟨10.1007/s004400100174⟩. ⟨hal-00130541⟩
  • Nils Berglund, Barbara Gentz. Beyond the Fokker-Planck equation: Pathwise control of noisy bistable systems. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2002, 35, pp.2057-2091. ⟨10.1088/0305-4470/35/9/301⟩. ⟨hal-00003013⟩
  • Nils Berglund, Barbara Gentz. Metastability in simple climate models: Pathwise analysis of slowly driven Langevin equations. Stochastics and Dynamics, World Scientific Publishing, 2002, 2, pp.327-356. ⟨10.1142/S0219493702000455⟩. ⟨hal-00003014⟩
  • Nils Berglund, Turgay Uzer. The averaged dynamics of the hydrogen atom in crossed electric and magnetic fields as a perturbed Kepler problem. Foundations of Physics, Springer Verlag, 2001, 31, pp.283-326. ⟨10.1023/A:1017542620404⟩. ⟨hal-00130545⟩
  • Nils Berglund. Control of Dynamic Hopf Bifurcations. Nonlinearity, IOP Publishing, 2000, 13, pp.225-248. ⟨10.1088/0951-7715/13/1/311⟩. ⟨hal-00130547⟩
  • Nils Berglund. Dynamic bifurcations: hysteresis, scaling laws and feedback control. Progress in theoretical physics suppl., 2000, 139, pp.325-336. ⟨10.1143/PTPS.139.325⟩. ⟨hal-00130575⟩
  • Nils Berglund. Classical Billiards in a Magnetic Field and a Potential. Nonlinear Phenomena in Complex Systems, Education and Upbringing Publishing, 2000, 3, pp.61-70. ⟨hal-00130573⟩
  • Nils Berglund, Hervé Kunz. Memory Effects and Scaling Laws in Slowly Driven Systems. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 1999, 32, pp.15-39. ⟨10.1088/0305-4470/32/1/005⟩. ⟨hal-00130552⟩
  • Nils Berglund, Hervé Kunz. Chaotic hysteresis in an adiabatically oscillating double well. Physical Review Letters, American Physical Society, 1997, 78, pp.1691-1694. ⟨10.1103/PhysRevLett.78.1691⟩. ⟨hal-00130556⟩
  • Nils Berglund, Hervé Kunz. Integrability and Ergodicity of Classical Billiards in a Magnetic Field. Journal of Statistical Physics, Springer Verlag, 1996, 83, pp.81-126. ⟨10.1007/BF02183641⟩. ⟨hal-00130567⟩
  • Nils Berglund, Alex Hansen, Eivind H. Hauge, Jaroslav Piasecki. Can a local repulsive potential trap an electron?. Physical Review Letters, American Physical Society, 1996, 77, pp.2149-2152. ⟨10.1103/PhysRevLett.77.2149⟩. ⟨hal-00130560⟩

Conference papers1 document

  • Nils Berglund. Bifurcations, scaling laws and hysteresis in singularly perturbed systems. 2000, pp.79-81. ⟨hal-00130584⟩

Books1 document

  • Nils Berglund, Barbara Gentz. Noise-Induced Phenomena in Slow-Fast Dynamical Systems: A Sample-Paths Approach. Springer, Springer, Probability and its Applications, 290 p., 2005, 978-1-84628-038-2. ⟨10.1007/1-84628-186-5⟩. ⟨hal-00010168⟩

Book sections2 documents

  • Nils Berglund, Barbara Gentz. Stochastic dynamic bifurcations and excitability. Stochastic Methods in Neuroscience, Carlo Laing and Gabriel Lord (Eds), Oxford University Press, pp.1-29, 2008. ⟨hal-00204235⟩
  • Nils Berglund, Klaus Schneider. Control of Dynamic Bifurcations. Stability and Stabilization of Nonlinear Systems, Springer, pp.75-93, 1999, Lecture Notes in Control and Information Theory 246, ⟨10.1007/1-84628-577-1_4⟩. ⟨hal-00130578⟩

Other publications12 documents

Preprints, Working Papers, ...2 documents

  • Nils Berglund. An introduction to singular stochastic PDEs: Allen-Cahn equations, metastability and regularity structures. 2019. ⟨hal-02004985⟩
  • Nils Berglund, Yvain Bruned. BPHZ renormalisation and vanishing subcriticality limit of the fractional $\Phi^3_d$ model. 2019. ⟨hal-02199627⟩

Habilitation à diriger des recherches1 document

  • Nils Berglund. Equations différentielles stochastiques singulièrement perturbées. Mathématiques [math]. Université du Sud Toulon Var, 2004. ⟨tel-00004304⟩

Lectures4 documents

  • Nils Berglund. Processus aléatoires et applications. DEA. Université d'Orléans, 2013, pp.123. ⟨cel-00439562v4⟩
  • Nils Berglund. Martingales et calcul stochastique. DEA. Université d'Orléans, 2012, pp.125. ⟨cel-00443085v4⟩
  • Nils Berglund. Perturbation theory of dynamical systems. DEA. ETH Zurich, 2007. ⟨cel-00130703⟩
  • Nils Berglund. Geometrical theory of dynamical systems. DEA. ETH Zurich, 2007. ⟨cel-00130699⟩