Nils Berglund, Rita Nader. Stochastic resonance in stochastic PDEs. Stochastics and Partial Differential Equations: Analysis and Computations, Springer US, In press, ⟨10.1007/s40072-021-00230-w⟩. ⟨hal-03287910⟩

Nils Berglund. An Eyring-Kramers law for slowly oscillating bistable diffusions. Probability and Mathematical Physics, MSP, 2021, 2 (4), pp.685-743. ⟨10.2140/pmp.2021.2.685⟩. ⟨hal-02901432⟩

Christian Kuehn, Nils Berglund, Christian Bick, Maximilian Engel, Tobias Hurth, et al.. A General View on Double Limits in Differential Equations. Physica D: Nonlinear Phenomena, Elsevier, 2021, 431, pp.133105. ⟨10.1016/j.physd.2021.133105⟩. ⟨hal-03248169⟩

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. ⟨10.1214/19-EJP359⟩. ⟨hal-01788021v2⟩

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⟩

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, 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, 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, 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. 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, 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, 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, Polymat Publishing Company, 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, Polymat Publishing Company, 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. 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. 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. 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. 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. 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. Control of Dynamic Hopf Bifurcations. Nonlinearity, IOP Publishing, 2000, 13, pp.225-248. ⟨10.1088/0951-7715/13/1/311⟩. ⟨hal-00130547⟩

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⟩

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

Nils Berglund. An Introduction to Singular Stochastic PDEs: Allen–Cahn Equations, Metastability, and Regularity Structures. European Mathematical Society Publishing House, 2022, EMS Series of Lectures in Mathematics, ⟨10.4171/ELM/34⟩. ⟨hal-03649233⟩

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⟩

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⟩

Nils Berglund. Des ondes dans mon billard. 2021. ⟨hal-03255450⟩

Nils Berglund. Métastabilité d'EDP stochastiques et déterminants de Fredholm. 2020, Gazette de Mathématiciens, No 163, p 14-25. ⟨hal-02441580⟩

Nils Berglund. 1951 : Le calcul d'Itō. 2020. ⟨hal-02491397⟩

Nils Berglund. Metastability of Stochastic Partial Differential Equations and Fredholm Determinants. 2020, EMS Newsletter No 117, pp 6-14. ⟨10.4171/NEWS/117/3⟩. ⟨hal-02928374⟩

Nils Berglund. 1952 : L'algorithme de Metropolis. 2020. ⟨hal-02475384⟩

Nils Berglund. Modèles simples du climat. 2020. ⟨hal-02501569⟩

Nils Berglund. Résoudre des équations en comptant des arbres. 2018. ⟨hal-01894945⟩

Nils Berglund. Les diagrammes de Feynman. 2016. ⟨hal-01373268⟩

Nils Berglund. Mayonnaise et élections américaines. 2016. ⟨hal-01298513⟩

Nils Berglund. Probabiliser. 2015. ⟨hal-01151946⟩

Nils Berglund, Marc Monticelli. Des canards dans mes neurones. 2015. ⟨hal-01146597⟩

Nils Berglund, Marc Monticelli. Qu’est-ce qu’une Équation aux Dérivées Partielles Stochastique ?. 2014. ⟨hal-01146594⟩

Nils Berglund. Notre univers est-il irréversible ?. 2013. ⟨hal-01146588⟩

Nils Berglund. Hasard et glaciations. 2013. ⟨hal-01146611⟩

Nils Berglund. La probabilité d’extinction d’une espèce menacée. 2013. ⟨hal-01146586⟩

Nils Berglund. Rangez-moi ces bouquins !. 2012. ⟨hal-01146584⟩

Nils Berglund, Yvain Bruned. BPHZ renormalisation and vanishing subcriticality asymptotics of the fractional $\Phi^3_d$ model. 2021. ⟨hal-02199627⟩

Nils Berglund. Long-time dynamics of stochastic differential equations. 2021. ⟨hal-03271001⟩

Nils Berglund. An introduction to singular stochastic PDEs: Allen-Cahn equations, metastability and regularity structures. 2019. ⟨hal-02004985⟩

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

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. Geometrical theory of dynamical systems. DEA. ETH Zurich, 2007. ⟨cel-00130699⟩

Nils Berglund. Perturbation theory of dynamical systems. DEA. ETH Zurich, 2007. ⟨cel-00130703⟩