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Author ID: gentz.barbara Recent zbMATH articles by "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

Publications by Year

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
91
2006
Geometric singular perturbation theory for stochastic differential equations. Zbl 1053.34048
Berglund, Nils; Gentz, Barbara
26
2003
Pathwise description of dynamic pitchfork bifurcations with additive noise. Zbl 1008.37031
Berglund, Nils; Gentz, Barbara
21
2002
Sharp estimates for metastable lifetimes in parabolic SPDEs: Kramers law and beyond. Zbl 1285.60060
Berglund, Nils; Gentz, Barbara
20
2013
Hunting French ducks in a noisy environment. Zbl 1293.37025
Berglund, Nils; Gentz, Barbara; Kuehn, Christian
18
2012
The Eyring-Kramers law for potentials with nonquadratic saddles. Zbl 1234.60076
Berglund, N.; Gentz, B.
17
2010
On the noise-induced passage through an unstable periodic orbit. I: Two-level model. Zbl 1072.82018
Berglund, Nils; Gentz, Barbara
16
2004
Metastability in simple climate models: pathwise analysis of slowly driven Langevin equations. Zbl 1090.86001
Berglund, Nils; Gentz, Barbara
13
2002
Metastability in interacting nonlinear stochastic differential equations. I. From weak coupling to synchronization. Zbl 1135.60056
Berglund, Nils; Fernandez, Bastien; Gentz, Barbara
11
2007
The effect of additive noise on dynamical hysteresis. Zbl 1073.37061
Berglund, Nils; Gentz, Barbara
11
2002
On the noise-induced passage through an unstable periodic orbit. II: General case. Zbl 1291.60114
Berglund, Nils; Gentz, Barbara
11
2014
From random Poincaré maps to stochastic mixed-mode-oscillation patterns. Zbl 1348.37087
Berglund, Nils; Gentz, Barbara; Kuehn, Christian
10
2015
Metastability in interacting nonlinear stochastic differential equations. II. Large-\(N\) behaviour. Zbl 1140.60350
Berglund, 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 0953.60094
Gentz, Barbara; Löwe, Matthias
9
1999
A sample-paths approach to noise-induced synchronization: Stochastic resonance in a double-well potential. Zbl 1023.60052
Berglund, Nils; Gentz, Barbara
8
2002
Fluctuations in the Hopfield model at the critical temperature. Zbl 0945.60095
Gentz, B.; Löwe, M.
6
1999
An almost sure central limit theorem for the overlap parameters in the Hopfield model. Zbl 0863.60019
Gentz, B.
6
1996
Stochastic dynamic bifurcations and excitability. Zbl 1352.92023
Berglund, Nils; Gentz, Barbara
5
2010
A central limit theorem for the overlap in the Hopfield model. Zbl 0872.60015
Gentz, Barbara
5
1996
Beyond the Fokker-Planck equation: Pathwise control of noisy bistable systems. Zbl 1002.82023
Berglund, Nils; Gentz, Barbara
4
2002
A central limit theorem for the overlap in the Hopfield model. Zbl 0885.60016
Gentz, Barbara
1
1996
Anomalous behavior of the Kramers rate at bifurcations in classical field theories. Zbl 1155.70016
Berglund, Nils; Gentz, Barbara
1
2009
On the central limit theorem for the overlap in the Hopfield model. Zbl 0896.60012
Gentz, Barbara
1
1998
From random Poincaré maps to stochastic mixed-mode-oscillation patterns. Zbl 1348.37087
Berglund, Nils; Gentz, Barbara; Kuehn, Christian
10
2015
On the noise-induced passage through an unstable periodic orbit. II: General case. Zbl 1291.60114
Berglund, Nils; Gentz, Barbara
11
2014
Sharp estimates for metastable lifetimes in parabolic SPDEs: Kramers law and beyond. Zbl 1285.60060
Berglund, Nils; Gentz, Barbara
20
2013
Hunting French ducks in a noisy environment. Zbl 1293.37025
Berglund, Nils; Gentz, Barbara; Kuehn, Christian
18
2012
The Eyring-Kramers law for potentials with nonquadratic saddles. Zbl 1234.60076
Berglund, N.; Gentz, B.
17
2010
Stochastic dynamic bifurcations and excitability. Zbl 1352.92023
Berglund, Nils; Gentz, Barbara
5
2010
Anomalous behavior of the Kramers rate at bifurcations in classical field theories. Zbl 1155.70016
Berglund, Nils; Gentz, Barbara
1
2009
Metastability in interacting nonlinear stochastic differential equations. I. From weak coupling to synchronization. Zbl 1135.60056
Berglund, Nils; Fernandez, Bastien; Gentz, Barbara
11
2007
Metastability in interacting nonlinear stochastic differential equations. II. Large-\(N\) behaviour. Zbl 1140.60350
Berglund, Nils; Fernandez, Bastien; Gentz, Barbara
10
2007
Noise-induced phenomena in slow-fast dynamical systems. A sample-paths approach. Zbl 1098.37049
Berglund, Nils; Gentz, Barbara
91
2006
On the noise-induced passage through an unstable periodic orbit. I: Two-level model. Zbl 1072.82018
Berglund, Nils; Gentz, Barbara
16
2004
Geometric singular perturbation theory for stochastic differential equations. Zbl 1053.34048
Berglund, Nils; Gentz, Barbara
26
2003
Pathwise description of dynamic pitchfork bifurcations with additive noise. Zbl 1008.37031
Berglund, Nils; Gentz, Barbara
21
2002
Metastability in simple climate models: pathwise analysis of slowly driven Langevin equations. Zbl 1090.86001
Berglund, Nils; Gentz, Barbara
13
2002
The effect of additive noise on dynamical hysteresis. Zbl 1073.37061
Berglund, Nils; Gentz, Barbara
11
2002
A sample-paths approach to noise-induced synchronization: Stochastic resonance in a double-well potential. Zbl 1023.60052
Berglund, Nils; Gentz, Barbara
8
2002
Beyond the Fokker-Planck equation: Pathwise control of noisy bistable systems. Zbl 1002.82023
Berglund, Nils; Gentz, Barbara
4
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
9
1999
Fluctuations in the Hopfield model at the critical temperature. Zbl 0945.60095
Gentz, B.; Löwe, M.
6
1999
On the central limit theorem for the overlap in the Hopfield model. Zbl 0896.60012
Gentz, Barbara
1
1998
An almost sure central limit theorem for the overlap parameters in the Hopfield model. Zbl 0863.60019
Gentz, B.
6
1996
A central limit theorem for the overlap in the Hopfield model. Zbl 0872.60015
Gentz, Barbara
5
1996
A central limit theorem for the overlap in the Hopfield model. Zbl 0885.60016
Gentz, Barbara
1
1996
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

Citations by Year