Edit Profile (opens in new tab) Gentz, Barbara Compute Distance To: Compute Author ID: gentz.barbara Published as: Gentz, Barbara; Gentz, B. External Links: ORCID Documents Indexed: 24 Publications since 1996, including 2 Books 2 Contributions as Editor Reviewing Activity: 13 Reviews Co-Authors: 11 Co-Authors with 21 Joint Publications 390 Co-Co-Authors all top 5 Co-Authors 5 single-authored 17 Berglund, Nils 2 Fernandez, Bastien 2 Kühn, Christian 2 Löwe, Matthias 1 Buckwar, Evelyn 1 Deuschel, Jean-Dominique 1 Hausenblas, Erika 1 König, Wolfgang Dieter 1 Scheutzow, Michael K. R. 1 Schmock, Uwe 1 von Renesse, Max-Konstantin all top 5 Serials 3 Nonlinearity 2 Journal of Differential Equations 2 Probability Theory and Related Fields 2 Markov Processes and Related Fields 1 Journal of Statistical Physics 1 The Annals of Probability 1 The Annals of Applied Probability 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Mathematical Analysis 1 Stochastic Processes and their Applications 1 Journal of Dynamics and Differential Equations 1 Electronic Journal of Probability 1 Stochastics and Dynamics 1 Oberwolfach Reports 1 Journal of Physics A: Mathematical and Theoretical 1 Springer Proceedings in Mathematics 1 Probability and its Applications all top 5 Fields 24 Probability theory and stochastic processes (60-XX) 15 Dynamical systems and ergodic theory (37-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Ordinary differential equations (34-XX) 2 General and overarching topics; collections (00-XX) 2 Mechanics of particles and systems (70-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 321 times in 201 Documents Cited by ▼ Year ▼ Noise-induced phenomena in slow-fast dynamical systems. A sample-paths approach. Zbl 1098.37049Berglund, Nils; Gentz, Barbara 91 2006 Geometric singular perturbation theory for stochastic differential equations. Zbl 1053.34048Berglund, Nils; Gentz, Barbara 26 2003 Pathwise description of dynamic pitchfork bifurcations with additive noise. Zbl 1008.37031Berglund, Nils; Gentz, Barbara 21 2002 Sharp estimates for metastable lifetimes in parabolic SPDEs: Kramers law and beyond. Zbl 1285.60060Berglund, Nils; Gentz, Barbara 20 2013 Hunting French ducks in a noisy environment. Zbl 1293.37025Berglund, Nils; Gentz, Barbara; Kuehn, Christian 18 2012 The Eyring-Kramers law for potentials with nonquadratic saddles. Zbl 1234.60076Berglund, N.; Gentz, B. 17 2010 On the noise-induced passage through an unstable periodic orbit. I: Two-level model. Zbl 1072.82018Berglund, Nils; Gentz, Barbara 16 2004 Metastability in simple climate models: pathwise analysis of slowly driven Langevin equations. Zbl 1090.86001Berglund, Nils; Gentz, Barbara 13 2002 Metastability in interacting nonlinear stochastic differential equations. I. From weak coupling to synchronization. Zbl 1135.60056Berglund, Nils; Fernandez, Bastien; Gentz, Barbara 11 2007 The effect of additive noise on dynamical hysteresis. Zbl 1073.37061Berglund, Nils; Gentz, Barbara 11 2002 On the noise-induced passage through an unstable periodic orbit. II: General case. Zbl 1291.60114Berglund, Nils; Gentz, Barbara 11 2014 From random Poincaré maps to stochastic mixed-mode-oscillation patterns. Zbl 1348.37087Berglund, Nils; Gentz, Barbara; Kuehn, Christian 10 2015 Metastability in interacting nonlinear stochastic differential equations. II. Large-\(N\) behaviour. Zbl 1140.60350Berglund, Nils; Fernandez, Bastien; Gentz, Barbara 10 2007 The fluctuations of the overlap in the Hopfield model with finitely many patterns at the critical temperature. Zbl 0953.60094Gentz, Barbara; Löwe, Matthias 9 1999 A sample-paths approach to noise-induced synchronization: Stochastic resonance in a double-well potential. Zbl 1023.60052Berglund, Nils; Gentz, Barbara 8 2002 Fluctuations in the Hopfield model at the critical temperature. Zbl 0945.60095Gentz, B.; Löwe, M. 6 1999 An almost sure central limit theorem for the overlap parameters in the Hopfield model. Zbl 0863.60019Gentz, B. 6 1996 Stochastic dynamic bifurcations and excitability. Zbl 1352.92023Berglund, Nils; Gentz, Barbara 5 2010 A central limit theorem for the overlap in the Hopfield model. Zbl 0872.60015Gentz, Barbara 5 1996 Beyond the Fokker-Planck equation: Pathwise control of noisy bistable systems. Zbl 1002.82023Berglund, Nils; Gentz, Barbara 4 2002 A central limit theorem for the overlap in the Hopfield model. Zbl 0885.60016Gentz, Barbara 1 1996 Anomalous behavior of the Kramers rate at bifurcations in classical field theories. Zbl 1155.70016Berglund, Nils; Gentz, Barbara 1 2009 On the central limit theorem for the overlap in the Hopfield model. Zbl 0896.60012Gentz, Barbara 1 1998 From random Poincaré maps to stochastic mixed-mode-oscillation patterns. Zbl 1348.37087Berglund, Nils; Gentz, Barbara; Kuehn, Christian 10 2015 On the noise-induced passage through an unstable periodic orbit. II: General case. Zbl 1291.60114Berglund, Nils; Gentz, Barbara 11 2014 Sharp estimates for metastable lifetimes in parabolic SPDEs: Kramers law and beyond. Zbl 1285.60060Berglund, Nils; Gentz, Barbara 20 2013 Hunting French ducks in a noisy environment. Zbl 1293.37025Berglund, Nils; Gentz, Barbara; Kuehn, Christian 18 2012 The Eyring-Kramers law for potentials with nonquadratic saddles. Zbl 1234.60076Berglund, N.; Gentz, B. 17 2010 Stochastic dynamic bifurcations and excitability. Zbl 1352.92023Berglund, Nils; Gentz, Barbara 5 2010 Anomalous behavior of the Kramers rate at bifurcations in classical field theories. Zbl 1155.70016Berglund, Nils; Gentz, Barbara 1 2009 Metastability in interacting nonlinear stochastic differential equations. I. From weak coupling to synchronization. Zbl 1135.60056Berglund, Nils; Fernandez, Bastien; Gentz, Barbara 11 2007 Metastability in interacting nonlinear stochastic differential equations. II. Large-\(N\) behaviour. Zbl 1140.60350Berglund, Nils; Fernandez, Bastien; Gentz, Barbara 10 2007 Noise-induced phenomena in slow-fast dynamical systems. A sample-paths approach. Zbl 1098.37049Berglund, Nils; Gentz, Barbara 91 2006 On the noise-induced passage through an unstable periodic orbit. I: Two-level model. Zbl 1072.82018Berglund, Nils; Gentz, Barbara 16 2004 Geometric singular perturbation theory for stochastic differential equations. Zbl 1053.34048Berglund, Nils; Gentz, Barbara 26 2003 Pathwise description of dynamic pitchfork bifurcations with additive noise. Zbl 1008.37031Berglund, Nils; Gentz, Barbara 21 2002 Metastability in simple climate models: pathwise analysis of slowly driven Langevin equations. Zbl 1090.86001Berglund, Nils; Gentz, Barbara 13 2002 The effect of additive noise on dynamical hysteresis. Zbl 1073.37061Berglund, Nils; Gentz, Barbara 11 2002 A sample-paths approach to noise-induced synchronization: Stochastic resonance in a double-well potential. Zbl 1023.60052Berglund, Nils; Gentz, Barbara 8 2002 Beyond the Fokker-Planck equation: Pathwise control of noisy bistable systems. Zbl 1002.82023Berglund, Nils; Gentz, Barbara 4 2002 The fluctuations of the overlap in the Hopfield model with finitely many patterns at the critical temperature. Zbl 0953.60094Gentz, Barbara; Löwe, Matthias 9 1999 Fluctuations in the Hopfield model at the critical temperature. Zbl 0945.60095Gentz, B.; Löwe, M. 6 1999 On the central limit theorem for the overlap in the Hopfield model. Zbl 0896.60012Gentz, Barbara 1 1998 An almost sure central limit theorem for the overlap parameters in the Hopfield model. Zbl 0863.60019Gentz, B. 6 1996 A central limit theorem for the overlap in the Hopfield model. Zbl 0872.60015Gentz, Barbara 5 1996 A central limit theorem for the overlap in the Hopfield model. Zbl 0885.60016Gentz, Barbara 1 1996 all cited Publications top 5 cited Publications all top 5 Cited by 329 Authors 23 Kühn, Christian 11 Berglund, Nils 9 Löwe, Matthias 8 Gentz, Barbara 8 Högele, Michael Anton 6 Duan, Jinqiao 5 Pavlyukevich, Ilya 4 Betz, Volker 4 Medvedev, Georgi S. 3 Ashwin, Peter 3 Bashkirtseva, Irina Adol’fovna 3 Blömker, Dirk 3 Desroches, Mathieu 3 Engel, Maximilian 3 Ko, Dongnam 3 Kurths, Jürgen 3 Kuske, Rachel A. 3 Redmann, Martin 3 Romanò, Francesco 3 Schubert, Kristina 2 Allman, Michael 2 Bates, Peter W. 2 Bouchet, Freddy 2 Carinci, Gioia 2 Chen, Yuxin 2 Creaser, Jennifer L. 2 Dutercq, Sébastien 2 Eichelsbacher, Peter 2 Eilertsen, Justin S. 2 Gairing, Jan M. 2 Guillamon, Antoni 2 Ha, Seung-Yeal 2 Hairer, Martin 2 Hitczenko, Paweł 2 Hurth, Tobias 2 Imkeller, Peter 2 Knöpfel, Holger 2 Kolokolnikov, Theodore 2 Kosenkova, Tetiana 2 Li, Ji 2 Lim, Soon Hoe 2 Liu, Xianming 2 Louis, Pierre-Yves 2 Ma, Xindong 2 Minelli, Ida Germana 2 Monahan, Adam Hugh 2 Neamţu, Alexandra 2 Poquet, Christophe 2 Ritchie, Paul 2 Ryashko, Lev Borisovich 2 Sadhu, Susmita 2 Schnell, Santiago 2 Sieber, Jan 2 Simpson, David John Warwick 2 Tabak, Joël 2 Thieullen, Michèle 2 Tsaneva-Atanasova, Krasimira T. 2 Tzou, Justin C. 2 Vanden-Eijnden, Eric 2 Zheng, Yayun 2 Zhuravytska, Svitlana 1 Aguilar, Jean-Philippe 1 Akrami, Mohammad Hossein 1 Alonso, Juan Antonio 1 Antonopoulou, Dimitra C. 1 Ao, Ping 1 Arapostathis, Aristotle 1 Ascione, Giacomo 1 Aurzada, Frank 1 Bačić, Iva 1 Bakhtin, Yuri Yu. 1 Balasuriya, Sanjeeva 1 Bar-Ziv, Ezra 1 Barrera, Gerardo 1 Barret, Florent 1 Bashiri, K. 1 Baudel, Manon 1 Benner, Peter 1 Bertram, Richard 1 Bhattacharya, Bhaswar B. 1 Bick, Christian 1 Biswas, Anup 1 Bonciolini, Giacomo 1 Borkar, Vivek Shripad 1 Bossy, Mireille 1 Boulakia, Muriel 1 Bovier, Anton 1 Branicki, Michał 1 Braun, Julian 1 Breban, Romulus 1 Breden, Maxime 1 Bressloff, Paul C. 1 Bronski, Jared C. 1 Brooks, Morris 1 Burghoff, Toralf 1 Burrage, Kevin 1 Cai, Yuhua 1 Campillo, Fabien 1 Cao, Shuqian 1 Cao, Yanzhao ...and 229 more Authors all top 5 Cited in 80 Serials 18 Journal of Statistical Physics 15 Chaos 10 Stochastic Processes and their Applications 10 Stochastics and Dynamics 9 SIAM Journal on Applied Dynamical Systems 7 Journal of Mathematical Biology 7 Physica D 6 The Annals of Applied Probability 6 Journal of Nonlinear Science 6 Discrete and Continuous Dynamical Systems. Series B 5 Nonlinear Dynamics 4 Journal of Differential Equations 4 Journal of Dynamics and Differential Equations 3 Communications in Mathematical Physics 3 Bulletin of Mathematical Biology 3 The Annals of Probability 3 Applied Mathematics and Computation 3 Probability Theory and Related Fields 3 European Journal of Applied Mathematics 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Communications in Nonlinear Science and Numerical Simulation 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Journal of Functional Analysis 2 Journal of Theoretical Probability 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Journal of Theoretical Biology 2 SIAM/ASA Journal on Uncertainty Quantification 1 International Journal of Modern Physics B 1 Archive for Rational Mechanics and Analysis 1 Biological Cybernetics 1 Classical and Quantum Gravity 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Mathematische Semesterberichte 1 Nonlinearity 1 Physica A 1 Russian Mathematical Surveys 1 Journal of Applied Probability 1 Journal of Mathematical Economics 1 Mathematics and Computers in Simulation 1 SIAM Journal on Control and Optimization 1 Studies in Applied Mathematics 1 Stochastic Analysis and Applications 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Scientific Computing 1 Neural Computation 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Review 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Calculus of Variations and Partial Differential Equations 1 Physics of Fluids 1 Electronic Journal of Differential Equations (EJDE) 1 Advances in Computational Mathematics 1 Journal of Computational Neuroscience 1 Electronic Communications in Probability 1 Bernoulli 1 European Mathematical Society Newsletter 1 Differential Equations and Dynamical Systems 1 LMS Journal of Computation and Mathematics 1 Annales Henri Poincaré 1 Dynamical Systems 1 Decisions in Economics and Finance 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 Analysis and Applications (Singapore) 1 Mathematical Biosciences and Engineering 1 Journal of Biological Dynamics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Journal of Physics A: Mathematical and Theoretical 1 Electronic Journal of Statistics 1 Journal of Geometric Mechanics 1 The Journal of Mathematical Neuroscience 1 Journal of Applied Analysis and Computation 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya all top 5 Cited in 30 Fields 118 Probability theory and stochastic processes (60-XX) 63 Ordinary differential equations (34-XX) 60 Dynamical systems and ergodic theory (37-XX) 45 Biology and other natural sciences (92-XX) 37 Partial differential equations (35-XX) 36 Statistical mechanics, structure of matter (82-XX) 12 Numerical analysis (65-XX) 11 Systems theory; control (93-XX) 10 Mechanics of particles and systems (70-XX) 7 Geophysics (86-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistics (62-XX) 4 Quantum theory (81-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Fluid mechanics (76-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Information and communication theory, circuits (94-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year