Gentz, Barbara

Compute Distance To:
 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
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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
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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
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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)

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 1098.37049
Berglund, Nils; Gentz, Barbara
2006
Geometric singular perturbation theory for stochastic differential equations. Zbl 1053.34048
Berglund, Nils; Gentz, Barbara
2003
Pathwise description of dynamic pitchfork bifurcations with additive noise. Zbl 1008.37031
Berglund, Nils; Gentz, Barbara
2002
Sharp estimates for metastable lifetimes in parabolic SPDEs: Kramers law and beyond. Zbl 1285.60060
Berglund, Nils; Gentz, Barbara
2013
Hunting French ducks in a noisy environment. Zbl 1293.37025
Berglund, Nils; Gentz, Barbara; Kuehn, Christian
2012
Berglund, N.; Gentz, B.
2010
On the noise-induced passage through an unstable periodic orbit. I: Two-level model. Zbl 1072.82018
Berglund, Nils; Gentz, Barbara
2004
Metastability in simple climate models: pathwise analysis of slowly driven Langevin equations. Zbl 1090.86001
Berglund, Nils; Gentz, Barbara
2002
Metastability in interacting nonlinear stochastic differential equations. I. From weak coupling to synchronization. Zbl 1135.60056
Berglund, Nils; Fernandez, Bastien; Gentz, Barbara
2007
The effect of additive noise on dynamical hysteresis. Zbl 1073.37061
Berglund, Nils; Gentz, Barbara
2002
On the noise-induced passage through an unstable periodic orbit. II: General case. Zbl 1291.60114
Berglund, Nils; Gentz, Barbara
2014
From random Poincaré maps to stochastic mixed-mode-oscillation patterns. Zbl 1348.37087
Berglund, Nils; Gentz, Barbara; Kuehn, Christian
2015
Metastability in interacting nonlinear stochastic differential equations. II. Large-$$N$$ behaviour. Zbl 1140.60350
Berglund, Nils; Fernandez, Bastien; Gentz, Barbara
2007
The fluctuations of the overlap in the Hopfield model with finitely many patterns at the critical temperature. Zbl 0953.60094
Gentz, Barbara; Löwe, Matthias
1999
A sample-paths approach to noise-induced synchronization: Stochastic resonance in a double-well potential. Zbl 1023.60052
Berglund, Nils; Gentz, Barbara
2002
Fluctuations in the Hopfield model at the critical temperature. Zbl 0945.60095
Gentz, B.; Löwe, M.
1999
An almost sure central limit theorem for the overlap parameters in the Hopfield model. Zbl 0863.60019
Gentz, B.
1996
Stochastic dynamic bifurcations and excitability. Zbl 1352.92023
Berglund, Nils; Gentz, Barbara
2010
A central limit theorem for the overlap in the Hopfield model. Zbl 0872.60015
Gentz, Barbara
1996
Beyond the Fokker-Planck equation: Pathwise control of noisy bistable systems. Zbl 1002.82023
Berglund, Nils; Gentz, Barbara
2002
A central limit theorem for the overlap in the Hopfield model. Zbl 0885.60016
Gentz, Barbara
1996
Anomalous behavior of the Kramers rate at bifurcations in classical field theories. Zbl 1155.70016
Berglund, Nils; Gentz, Barbara
2009
On the central limit theorem for the overlap in the Hopfield model. Zbl 0896.60012
Gentz, Barbara
1998
From random Poincaré maps to stochastic mixed-mode-oscillation patterns. Zbl 1348.37087
Berglund, Nils; Gentz, Barbara; Kuehn, Christian
2015
On the noise-induced passage through an unstable periodic orbit. II: General case. Zbl 1291.60114
Berglund, Nils; Gentz, Barbara
2014
Sharp estimates for metastable lifetimes in parabolic SPDEs: Kramers law and beyond. Zbl 1285.60060
Berglund, Nils; Gentz, Barbara
2013
Hunting French ducks in a noisy environment. Zbl 1293.37025
Berglund, Nils; Gentz, Barbara; Kuehn, Christian
2012
Berglund, N.; Gentz, B.
2010
Stochastic dynamic bifurcations and excitability. Zbl 1352.92023
Berglund, Nils; Gentz, Barbara
2010
Anomalous behavior of the Kramers rate at bifurcations in classical field theories. Zbl 1155.70016
Berglund, Nils; Gentz, Barbara
2009
Metastability in interacting nonlinear stochastic differential equations. I. From weak coupling to synchronization. Zbl 1135.60056
Berglund, Nils; Fernandez, Bastien; Gentz, Barbara
2007
Metastability in interacting nonlinear stochastic differential equations. II. Large-$$N$$ behaviour. Zbl 1140.60350
Berglund, Nils; Fernandez, Bastien; Gentz, Barbara
2007
Noise-induced phenomena in slow-fast dynamical systems. A sample-paths approach. Zbl 1098.37049
Berglund, Nils; Gentz, Barbara
2006
On the noise-induced passage through an unstable periodic orbit. I: Two-level model. Zbl 1072.82018
Berglund, Nils; Gentz, Barbara
2004
Geometric singular perturbation theory for stochastic differential equations. Zbl 1053.34048
Berglund, Nils; Gentz, Barbara
2003
Pathwise description of dynamic pitchfork bifurcations with additive noise. Zbl 1008.37031
Berglund, Nils; Gentz, Barbara
2002
Metastability in simple climate models: pathwise analysis of slowly driven Langevin equations. Zbl 1090.86001
Berglund, Nils; Gentz, Barbara
2002
The effect of additive noise on dynamical hysteresis. Zbl 1073.37061
Berglund, Nils; Gentz, Barbara
2002
A sample-paths approach to noise-induced synchronization: Stochastic resonance in a double-well potential. Zbl 1023.60052
Berglund, Nils; Gentz, Barbara
2002
Beyond the Fokker-Planck equation: Pathwise control of noisy bistable systems. Zbl 1002.82023
Berglund, Nils; Gentz, Barbara
2002
The fluctuations of the overlap in the Hopfield model with finitely many patterns at the critical temperature. Zbl 0953.60094
Gentz, Barbara; Löwe, Matthias
1999
Fluctuations in the Hopfield model at the critical temperature. Zbl 0945.60095
Gentz, B.; Löwe, M.
1999
On the central limit theorem for the overlap in the Hopfield model. Zbl 0896.60012
Gentz, Barbara
1998
An almost sure central limit theorem for the overlap parameters in the Hopfield model. Zbl 0863.60019
Gentz, B.
1996
A central limit theorem for the overlap in the Hopfield model. Zbl 0872.60015
Gentz, Barbara
1996
A central limit theorem for the overlap in the Hopfield model. Zbl 0885.60016
Gentz, Barbara
1996
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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
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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
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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)