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Stochastics and Dynamics

Short Title: Stoch. Dyn.
Publisher: World Scientific, Singapore
ISSN: 0219-4937; 1793-6799/e
Online: https://www.worldscientific.com/loi/sd
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 903 Publications (since 2001)
References Indexed: 888 Publications with 20,493 References.
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Latest Issues

23, No. 7 (2023)
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...and 10 more Volumes
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Authors

14 Duan, Jinqiao
14 Kloeden, Peter Eris
13 Caraballo Garrido, Tomás
10 Lopes, Artur Oscar
10 Ouknine, Youssef
10 Schmalfuß, Björn
9 Imkeller, Peter
8 Denker, Manfred
8 Freidlin, Mark I.
8 Gao, Hongjun
8 Ruffino, Paulo Régis C.
8 Wang, Yejuan
6 Blömker, Dirk
6 Dedecker, Jérôme
6 Flandoli, Franco
6 Huang, Jianhua
6 Kesseböhmer, Marc
6 Kifer, Yuri
6 Nguyen Dinh Cong
6 Tudor, Ciprian A.
5 Garrido-Atienza, María José
5 Han, Xiaoying
5 Khas’minskiĭ, Rafail Zalmanovich
5 Maslowski, Bohdan
5 Merlevède, Florence
5 Milstein, Grigori N.
5 Nualart, David
5 Pavlyukevich, Ilya
5 Russo, Francesco
5 Scheutzow, Michael K. R.
5 Siegmund, Stefan
5 Spiliopoulos, Konstantinos V.
5 Volný, Dalibor
5 Wang, Bixiang
5 Yan, Litan
5 Yang, Meihua
4 Bahlali, Khaled
4 Bo, Lijun
4 Catuogno, Pedro José
4 Chen, Ercai
4 Crauel, Hans
4 Da Silva, Fabiano Borges
4 Dragičević, Davor
4 Duc, Luu Hoang
4 Gu, Anhui
4 Högele, Michael Anton
4 Hu, Shigeng
4 Langa, Jose’ Antonio
4 Lisei, Hannelore
4 Liu, Junfeng
4 Melbourne, Ian
4 Molchanov, Stanislav Alekseevich
4 Neamţu, Alexandra
4 Nicol, Matthew
4 Qiao, Huijie
4 Real Anguas, José
4 Sowers, Richard B.
4 Stadlbauer, Manuel
4 Tachim Medjo, Theodore
4 Tong, Jinying
4 Valero, José
4 Varandas, Paulo
4 Wang, Yongjin
4 Wu, Fuke
4 Yang, Xue
4 Zhang, Xicheng
4 Zhang, Zhenzhong
4 Zheng, Yan
4 Zhou, Shengfan
3 Aaronson, Jon
3 Allouba, Hassan
3 Aman, Auguste
3 Bakhtin, Yuri Yu.
3 Bal, Guillaume
3 Barreira, Luis Manuel
3 Bessa, Mário
3 Bessaih, Hakima
3 Bonaccorsi, Stefano
3 Bouhadou, Siham
3 Bruin, Henk
3 Buckwar, Evelyn
3 Caithamer, Peter
3 Cialenco, Igor
3 Deugoue, Gabriel
3 Duncan, Tyrone E.
3 Es-Sebaiy, Khalifa
3 Gomes, André de Oliveira
3 Góra, Paweł
3 Guo, Chunxiao
3 Guo, Yanfeng
3 Hamadene, Saïd
3 Haydn, Nicolai T. A.
3 Herrmann, Samuel
3 Huang, Xing
3 Jiang, Hui
3 Jiang, Yiming
3 Johnson, Russell Allan
3 Keller, Gerhard
3 Kondrat’yev, Yuriĭ Grygorovych
3 Kotelenez, Peter M.
...and 1,202 more Authors
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Fields

669 Probability theory and stochastic processes (60-XX)
331 Dynamical systems and ergodic theory (37-XX)
173 Partial differential equations (35-XX)
119 Ordinary differential equations (34-XX)
56 Systems theory; control (93-XX)
41 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
40 Statistics (62-XX)
33 Measure and integration (28-XX)
33 Numerical analysis (65-XX)
33 Biology and other natural sciences (92-XX)
32 Fluid mechanics (76-XX)
31 Statistical mechanics, structure of matter (82-XX)
28 Operator theory (47-XX)
22 Geophysics (86-XX)
19 Global analysis, analysis on manifolds (58-XX)
17 Calculus of variations and optimal control; optimization (49-XX)
14 Mechanics of particles and systems (70-XX)
13 Number theory (11-XX)
12 General and overarching topics; collections (00-XX)
11 Integral equations (45-XX)
10 Difference and functional equations (39-XX)
9 Quantum theory (81-XX)
8 Real functions (26-XX)
7 Differential geometry (53-XX)
7 Operations research, mathematical programming (90-XX)
6 Potential theory (31-XX)
6 General topology (54-XX)
6 Mechanics of deformable solids (74-XX)
5 History and biography (01-XX)
5 Combinatorics (05-XX)
5 Information and communication theory, circuits (94-XX)
4 Topological groups, Lie groups (22-XX)
4 Functional analysis (46-XX)
4 Computer science (68-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Approximations and expansions (41-XX)
3 Manifolds and cell complexes (57-XX)
2 Associative rings and algebras (16-XX)
2 Functions of a complex variable (30-XX)
2 Special functions (33-XX)
2 Sequences, series, summability (40-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
2 Convex and discrete geometry (52-XX)
1 Algebraic geometry (14-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

644 Publications have been cited 4,501 times in 3,679 Documents Cited by Year
Attractors for stochastic lattice dynamical systems. Zbl 1105.60041
Bates, Peter W.; Lisei, Hannelore; Lu, Kening
216
2006
Local limit theorems for partial sums of stationary sequences generated by Gibbs-Markov maps. Zbl 1039.37002
Aaronson, Jon; Denker, Manfred
125
2001
Fractional Brownian motion and stochastic equations in Hilbert spaces. Zbl 1040.60054
Duncan, T. E.; Pasik-Duncan, B.; Maslowski, B.
104
2002
Existence and upper semicontinuity of attractors for stochastic equations with deterministic non-autonomous terms. Zbl 1304.35789
Wang, Bixiang
94
2014
MCMC methods for diffusion bridges. Zbl 1159.65007
Beskos, Alexandros; Roberts, Gareth; Stuart, Andrew; Voss, Jochen
67
2008
Boundary problems for fractional Laplacians. Zbl 1077.60036
Guan, Qing-Yang; Ma, Zhi-Ming
53
2005
Stochastic averaging principle for differential equations with non-Lipschitz coefficients driven by fractional Brownian motion. Zbl 1365.34102
Xu, Yong; Pei, Bin; Wu, Jiang-Lun
45
2017
Pullback and forward attractors for a damped wave equation with delays. Zbl 1061.35153
Caraballo, T.; Kloeden, P. E.; Real, J.
44
2004
Random differential equations with random delays. Zbl 1270.34182
Garrido-Atienza, M. J.; Ogrowsky, A.; Schmalfuss, B.
42
2011
Pullback attractors of nonautonomous semidynamical systems. Zbl 1029.37010
Kloeden, P. E.
41
2003
Delay population dynamics and environmental noise. Zbl 1093.60033
Mao, Xuerong
41
2005
Regularization of quasilinear heat equations by a fractional noise. Zbl 1080.60065
Nualart, David; Ouknine, Youssef
38
2004
Entropic risk measures: coherence vs. convexity, model ambiguity and robust large deviations. Zbl 1237.91128
Föllmer, Hans; Knispel, Thomas
37
2011
Random attractors of stochastic reaction-diffusion equations on variable domains. Zbl 1235.60076
Crauel, H.; Kloeden, P. E.; Yang, Meihua
36
2011
The existence and uniqueness for non-Lipschitz stochastic neutral delay evolution equations driven by Poisson jumps. Zbl 1167.60336
Luo, Jiaowan; Taniguchi, Takeshi
33
2009
Thermodynamic formalism for random transformations revisited. Zbl 1170.37019
Kifer, Yuri
32
2008
On the density of Hausdorff dimensions of bounded type continued fraction sets: the Texan conjecture. Zbl 1089.28006
Jenkinson, Oliver
31
2004
Stability of stochastic delayed SIR model. Zbl 1176.93079
Chen, Guoting; Li, Tiecheng
29
2009
Successive approximations of infinite dimensional SDEs with jump. Zbl 1082.60048
Cao, Guilan; He, Kai; Zhang, Xicheng
28
2005
Self-averaging in time reversal for the parabolic wave equation. Zbl 1020.35126
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
27
2002
Hyperbolic stochastic partial differential equations with additive fractional Brownian sheet. Zbl 1040.60045
Erraoui, Mohamed; Ouknine, Youssef; Nualart, David
26
2003
Stochastic stabilization of dynamical systems using Lévy noise. Zbl 1218.93106
Applebaum, David; Siakalli, Michailina
26
2010
Asymptotic properties of the maximum likelihood estimator for stochastic parabolic equations with additive fractional Brownian motion. Zbl 1176.62019
Cialenco, Igor; Lototsky, Sergey V.; Pospišil, Jan
25
2009
Conceptual stochastic climate models. Zbl 1022.86001
Imkeller, Peter; Monahan, Adam Hugh
25
2002
A family of chaotic billiards with variable mixing rates. Zbl 1111.37029
Chernov, N.; Zhang, H.-K.
25
2005
Recursive computation of the invariant distribution of a diffusion: The case of a weakly mean reverting drift. Zbl 1044.60069
Lamberton, Damien; Pagès, Gilles
24
2003
Stochastic integration for fractional Brownian motion in a Hilbert space. Zbl 1095.60017
Duncan, T. E.; Jakubowski, J.; Pasik-Duncan, B.
24
2006
Optimal consumption and investment in incomplete markets with general constraints. Zbl 1237.91202
Cheridito, Patrick; Hu, Ying
24
2011
Stochastic Cahn-Hilliard partial differential equations with Lévy spacetime white noises. Zbl 1098.60058
Bo, Lijun; Wang, Yongjin
24
2006
Random attractors for second order stochastic lattice dynamical systems with multiplicative noise in weighted spaces. Zbl 1247.60093
Han, Xiaoying
24
2012
Finite dimensionality of attractors for non-autonomous dynamical systems given by partial differential equations. Zbl 1057.37069
Langa, J. A.; Schmalfuss, B.
23
2004
A large deviation principle for the equilibrium states of Hölder potentials: the zero temperature case. Zbl 1088.60091
Baraviera, Alexandre; Lopes, Artur O.; Thieullen, Philippe
23
2006
Stochastic dynamics of a coupled atmosphere-ocean model. Zbl 1090.86003
Duan, Jinqiao; Gao, Hongjung; Schmalfuß, Björn
23
2002
Non-Lipschitz backward stochastic Volterra type equations with jumps. Zbl 1203.60094
Wang, Zhidong; Zhang, Xicheng
23
2007
A note on parameter estimation for discretely sampled SPDEs. Zbl 1451.60063
Cialenco, Igor; Huang, Yicong
23
2020
On stochastic evolution equations with non-Lipschitz coefficients. Zbl 1204.60059
Zhang, Xicheng
22
2009
Aperiodicity of cocycles and conditional local limit theorems. Zbl 1077.37010
Aaronson, J.; Denker, M.; Sarig, O.; Zweimüller, R.
22
2004
Sample paths of the solution to the fractional-colored stochastic heat equation. Zbl 1355.60086
Tudor, Ciprian A.; Xiao, Yimin
22
2017
Existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay. Zbl 1442.34125
Ma, Xiao; Shu, Xiao-Bao; Mao, Jianzhong
22
2020
Pointwise ergodic theorems with rate with applications to limit theorems for stationary processes. Zbl 1210.60031
Cuny, Christophe
21
2011
Large deviations for SPDEs of jump type. Zbl 1327.60074
Yang, Xue; Zhai, Jianliang; Zhang, Tusheng
21
2015
Statistical properties of one-dimensional maps with critical points and singularities. Zbl 1130.37362
Díaz-Ordaz, K.; Holland, M. P.; Luzzatto, S.
21
2006
An optimal Markovian quantization algorithm for multi-dimensional stochastic control problems. Zbl 1111.65006
Pagès, Gilles; Pham, Huyên; Printems, Jacques
21
2004
Induced topological pressure for countable state Markov shifts. Zbl 1376.37074
Jaerisch, Johannes; Kesseböhmer, Marc; Lamei, Sanaz
21
2014
Stochastic Cahn-Hilliard equation with fractional noise. Zbl 1156.60041
Bo, Lijun; Jiang, Yiming; Wang, Yongjin
20
2008
The existence and asymptotic behaviour of mild solutions to stochastic evolution equations with infinite delays driven by Poisson jumps. Zbl 1181.60102
Taniguchi, Takeshi; Luo, Jiaowan
20
2009
\(L^{p}\)-solutions for reflected backward stochastic differential equations. Zbl 1248.60064
Hamadène, Saïd; Popier, Alexandre
20
2012
Nonstationary mixing and the unique ergodicity of adic transformations. Zbl 1231.28014
Fisher, Albert M.
19
2009
An averaging principle for two-scale stochastic partial differential equations. Zbl 1243.60053
Fu, Hongbo; Duan, Jinqiao
19
2011
The stochastic wave equation driven by fractional Brownian noise and temporally correlated smooth noise. Zbl 1083.60053
Caithamer, Peter
19
2005
Approximation properties for solutions to Itô-Doob stochastic fractional differential equations with non-Lipschitz coefficients. Zbl 1422.34011
Abouagwa, Mahmoud; Li, Ji
19
2019
Approximation of Feller processes by Markov chains with Lévy increments. Zbl 1168.60359
Böttcher, Björn; Schilling, René L.
18
2009
Weak convergence to Lévy stable processes in dynamical systems. Zbl 1206.60047
Tyran-Kamińska, Marta
18
2010
Stable limits for probability preserving maps with indifferent fixed points. Zbl 1035.37001
Zweimüller, Roland
18
2003
Two-step transition in nonautonomous bifurcations: An explanation. Zbl 1009.34037
Johnson, R. A.; Kloeden, P. E.; Pavani, R.
18
2002
Invariant foliations for stochastic partial differential equations. Zbl 1153.60362
Lu, Kening; Schmalfuß, Björn
18
2008
Multisite coordinated delayed feedback for an effective desynchronization of neuronal networks. Zbl 1070.92007
Hauptmann, C.; Popovych, O.; Tass, P. A.
18
2005
A law of large numbers and large deviations for interacting diffusions on Erdős-Rényi graphs. Zbl 1434.60279
Coppini, Fabio; Dietert, Helge; Giacomin, Giambattista
18
2020
Reduction, reconstruction, and skew-product decomposition of symmetric stochastic differential equations. Zbl 1187.60045
Lázaro-Camí, Joan-Andreu; Ortega, Juan-Pablo
17
2009
Averaging principle for stochastic perturbations of multifrequency systems. Zbl 1050.60078
Freidlin, M. I.; Wentzell, A. D.
17
2003
Metastability in simple climate models: pathwise analysis of slowly driven Langevin equations. Zbl 1090.86001
Berglund, Nils; Gentz, Barbara
17
2002
Multidimensional bifractional Brownian motion: Itô and Tanaka formulas. Zbl 1139.60321
Es-Sebaiy, Khalifa; Tudor, Ciprian A.
17
2007
Optimal stopping with delayed information. Zbl 1089.60027
Øksendal, Bernt
17
2005
Smoluchowski-Kramers approximation and exit problems. Zbl 1083.60018
Chen, Zhiwei; Freidlin, Mark
16
2005
Stochastic versions of Anosov’s and Neistadt’s theorems on averaging. Zbl 1049.34055
Kifer, Yuri
15
2001
Attractors for the stochastic 3D Navier-Stokes equations. Zbl 1059.35100
Marín-Rubio, Pedro; Robinson, James C.
15
2003
Exponential mixing for some SPDEs with Lévy noise. Zbl 1239.60060
Priola, Enrico; Xu, Lihu; Zabczyk, Jerzy
15
2011
Another approach to some rough and stochastic partial differential equations. Zbl 1234.35330
Teichmann, Josef
15
2011
On a nonlocal stochastic Kuramoto-Sivashinsky equation with jumps. Zbl 1203.60080
Bo, Lijun; Shi, Kehua; Wang, Yongjin
15
2007
\(L^p\)-valued stochastic convolution integral driven by Volterra noise. Zbl 1417.60044
Čoupek, Petr; Maslowski, Bohdan; Ondreját, Martin
15
2018
A nonconventional strong law of large numbers and fractal dimensions of some multiple recurrence sets. Zbl 1255.60044
Kifer, Yuri
15
2012
Synchronization of systems with multiplicative noise. Zbl 1149.60036
Caraballo, Tomás; Kloeden, Peter E.; Neuenkirch, Andreas
14
2008
Representation of pathwise stationary solutions of stochastic Burgers’ equations. Zbl 1192.60083
Liu, Yong; Zhao, Huaizhong
14
2009
Rough Volterra equations. I: the algebraic integration setting. Zbl 1181.60105
Deya, Aurélien; Tindel, Samy
14
2009
Long-term behaviour of large mechanical systems with random initial data. Zbl 1032.70009
Kupperman, R.; Stuart, A. M.; Terry, J. R.; Tupper, P. F.
14
2002
The cohomology of stochastic and random differential equations, and local linearization of stochastic flows. Zbl 1020.60052
Imkeller, Peter; Lederer, Christian
14
2002
On the replicator dynamics behavior under Stratonovich type random perturbations. Zbl 1100.60030
Khasminskii, R.; Potsepun, N.
14
2006
Stochastic delay Gilpin-Ayala competition models. Zbl 1117.34079
Lian, Baosheng; Hu, Shigeng
14
2006
Averaging principles for SPDEs driven by fractional Brownian motions with random delays modulated by two-time-scale Markov switching processes. Zbl 1394.60036
Pei, Bin; Xu, Yong; Yin, George
14
2018
Return time statistics of invariant measures for interval maps with positive Lyapunov exponent. Zbl 1175.37044
Bruin, Henk; Todd, Mike
13
2009
A nonautonomous saddle-node bifurcation pattern. Zbl 1057.34032
Fabbri, Roberta; Johnson, Russell; Mantellini, Francesca
13
2004
\(L^2\) diffusion approximation for slow motion in averaging. Zbl 1055.34087
Kifer, Yuri
13
2003
On local entropy of random transformations. Zbl 1169.37003
Zhu, Yujun
13
2008
Existence of global martingale solutions to stochastic hyperbolic equations driven by a spatially homogeneous Wiener process. Zbl 1092.60024
Ondreját, Martin
13
2006
Fluctuation analysis and short time asymptotics for multiple scales diffusion processes. Zbl 1291.60050
Spiliopoulos, Konstantinos
13
2014
Feller evolution systems: generators and approximation. Zbl 1321.47095
Böttcher, Björn
13
2014
Dynamic behavior of stochastic \(p\)-Laplacian-type lattice equations. Zbl 1370.60106
Gu, Anhui; Li, Yangrong
13
2017
Random attractors for 3D Benjamin-Bona-Mahony equations derived by a Laplace-multiplier noise. Zbl 1386.60222
Li, Yangrong; Wang, Renhai
12
2018
Periodicity and Sharkovsky’s theorem for random dynamical systems. Zbl 1064.37037
Klünger, Marc
12
2001
Global pullback attractors of \(\mathbb{C}\)-analytic nonautonomous dynamical systems. Zbl 1038.37020
Cheban, David N.
12
2001
Towards a Morse theory for random dynamical systems. Zbl 1050.37026
Crauel, Hans; Duc, Luu Hoang; Siegmund, Stefan
12
2004
Equi-attraction and the continuous dependence of pullback attractors on parameters. Zbl 1059.37015
Li, Desheng; Kloeden, P. E.
12
2004
Regularizing properties of Brownian paths and a result of Davie. Zbl 1236.60077
Flandoli, Franco
12
2011
Metastability, Lyapunov exponents, escape rates, and topological entropy in random dynamical systems. Zbl 1417.37185
Froyland, Gary; Stancevic, Ognjen
12
2013
A unifying approach to fractional Lévy processes. Zbl 1273.60042
Engelke, Sebastian; Woerner, Jeannette H. C.
12
2013
The diffusion coefficient for piecewise expanding maps of the interval with metastable states. Zbl 1312.60089
Dolgopyat, Dmitry; Wright, Paul
12
2012
Averaging principle for SDEs of neutral type driven by \(G\)-Brownian motion. Zbl 1444.34098
He, Xiaoying; Han, Song; Tao, Jin
12
2019
On the existence and uniqueness of solution to a stochastic 2D Allen-Cahn-Navier-Stokes model. Zbl 1410.35295
Medjo, Theodore Tachim
12
2019
Asymptotic behavior of critical, irreducible multi-type continuous state and continuous time branching processes with immigration. Zbl 1339.60122
Barczy, Mátyás; Pap, Gyula
12
2016
BSDE representations for optimal switching problems with controlled volatility. Zbl 1291.93326
Elie, Romuald; Kharroubi, Idris
12
2014
Volterra equations driven by rough signals. II: Higher-order expansions. Zbl 1511.45001
Harang, Fabian A.; Tindel, Samy; Wang, Xiaohua
1
2023
Representation of solutions to sticky stochastic differential equations. Zbl 1523.60099
Garzón, Johanna; León, Jorge A.; Torres, Soledad
1
2023
Well-posedness of a system of SDEs driven by jump random measures. Zbl 07740131
Jiao, Ying; Kolliopoulos, Nikolaos
1
2023
Quenched limit theorems for expanding on average cocycles. Zbl 07772254
Dragičević, Davor; Sedro, Julien
1
2023
Limit measures and ergodicity of fractional stochastic reaction-diffusion equations on unbounded domains. Zbl 1498.37119
Chen, Zhang; Wang, Bixiang
5
2022
Global solutions for semilinear rough partial differential equations. Zbl 1491.35274
Hesse, Robert; Neamţu, Alexandra
5
2022
Amplitude equations for SPDEs driven by fractional additive noise with small Hurst parameter. Zbl 1494.60037
Blömker, Dirk; Neamţu, Alexandra
3
2022
Optimal index and averaging principle for Itô-Doob stochastic fractional differential equations. Zbl 1510.60054
Wang, Wenya; Guo, Zhongkai
3
2022
On a stochastic nonclassical diffusion equation with standard and fractional Brownian motion. Zbl 1491.35469
Caraballo, Tomás; Ngoc, Tran Bao; Thach, Tran Ngoc; Tuan, Nguyen Huy
2
2022
Stochastic turbulence for Burgers equation driven by cylindrical Lévy process. Zbl 1490.76112
Yuan, Shenglan; Blömker, Dirk; Duan, Jinqiao
2
2022
Strong rates of convergence of space-time discretization schemes for the 2D Navier-Stokes equations with additive noise. Zbl 1522.35356
Bessaih, Hakima; Millet, Annie
2
2022
An averaging principle for neutral stochastic fractional order differential equations with variable delays driven by Lévy noise. Zbl 1517.60068
Shen, Guangjun; Wu, Jiang-Lun; Xiao, Ruidong; Yin, Xiuwei
2
2022
Wong-Zakai approximations of second-order stochastic lattice systems driven by additive white noise. Zbl 1493.37090
Chen, Yiju; Guo, Chunxiao; Wang, Xiaohu
2
2022
The continuity, regularity and polynomial stability of mild solutions for stochastic 2D-Stokes equations with unbounded delay driven by tempered fractional Gaussian noise. Zbl 1500.35318
Liu, Yarong; Wang, Yejuan; Caraballo, Tomás
2
2022
Distribution-dependent stochastic porous media equations. Zbl 1511.60095
Gao, Jingyue; Hong, Wei; Liu, Wei
2
2022
Attractors for multi-valued lattice dynamical systems with nonlinear diffusion terms. Zbl 1498.37120
Zhang, Panpan; Gu, Anhui
1
2022
Weak pullback mean random attractors for stochastic evolution equations and applications. Zbl 1491.35061
Gu, Anhui
1
2022
Study of the dynamics of two chemostats connected by Fickian diffusion with bounded random fluctuations. Zbl 1501.34041
Caraballo, Tomás; López-de-la-Cruz, Javier; Rapaport, Alain
1
2022
Random attractors for setvalued dynamical systems for stochastic evolution equations driven by a nontrivial fractional noise. Zbl 1501.37010
Garrido-Atienza, M. J.; Schmalfuß, B.; Valero, J.
1
2022
Invariant measures for random expanding on average Saussol maps. Zbl 1501.37053
Batayneh, Fawwaz; González-Tokman, Cecilia
1
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Synchronization for KPZ. Zbl 1501.37077
Rosati, Tommaso C.
1
2022
Stochastic \(n\)-point \(D\)-bifurcations of stochastic Lévy flows and their complexity on finite spaces. Zbl 1514.37071
Da Costa, Paulo Henrique; Högele, Michael A.; Ruffino, Paulo R.
1
2022
Mild stochastic sewing lemma, SPDE in random environment, and fractional averaging. Zbl 1511.60065
Li, Xue-Mei; Sieber, Julian
1
2022
Stochastic rotating waves. Zbl 1507.35066
Kuehn, Christian; MacLaurin, James; Zucal, Giulio
1
2022
Penalization for a PDE with a nonlinear Neumann boundary condition and measurable coefficients. Zbl 1489.60108
Bahlali, Khaled; Boufoussi, Brahim; Mouchtabih, Soufiane
1
2022
Higher-dimensional open quantum walk in environment of quantum Bernoulli noises. Zbl 1487.81120
Wang, Ce
1
2022
Gâteaux type path-dependent PDEs and BSDEs with Gaussian forward processes. Zbl 1495.60060
Barrasso, Adrien; Russo, Francesco
1
2022
A two-dimensional stochastic fractional non-local diffusion lattice model with delays. Zbl 1511.35378
Wang, Yejuan; Wang, Yu; Han, Xiaoying; Kloeden, Peter E.
1
2022
\(C^{\infty}\)-regularization of ODEs perturbed by noise. Zbl 1490.60135
Harang, Fabian Andsem; Perkowski, Nicolas
12
2021
On nonlinear Feynman-Kac formulas for viscosity solutions of semilinear parabolic partial differential equations. Zbl 1490.60200
Beck, Christian; Hutzenthaler, Martin; Jentzen, Arnulf
7
2021
Dynamics of cholera epidemic models in fluctuating environments. Zbl 1460.92219
Phan, Tuan Anh; Tian, Jianjun Paul; Wang, Bixiang
7
2021
Extended backward stochastic Volterra integral equations, quasilinear parabolic equations, and Feynman-Kac formula. Zbl 1470.60143
Wang, Hanxiao
5
2021
Almost periodicity and periodicity for nonautonomous random dynamical systems. Zbl 1485.37050
Raynaud de Fitte, Paul
4
2021
Typical dynamics and fluctuation analysis of slow-fast systems driven by fractional Brownian motion. Zbl 1484.60047
Bourguin, Solesne; Gailus, Siragan; Spiliopoulos, Konstantinos
4
2021
A logistic-harvest model with Allee effect under multiplicative noise. Zbl 1473.37107
Tesfay, Almaz; Tesfay, Daniel; Brannan, James; Duan, Jinqiao
4
2021
Unstable entropy and unstable pressure for random partially hyperbolic dynamical systems. Zbl 1482.37033
Wang, Xinsheng; Wu, Weisheng; Zhu, Yujun
4
2021
Large deviation for two-time-scale stochastic Burgers equation. Zbl 1476.35348
Sun, Xiaobin; Wang, Ran; Xu, Lihu; Yang, Xue
4
2021
Unique equilibrium states for some intermediate beta transformations. Zbl 1485.37051
Carapezza, Leonard; López, Marco; Robertson, Donald
3
2021
Reflected BSDEs when the obstacle is predictable and nonlinear optimal stopping problem. Zbl 1498.60157
Bouhadou, Siham; Ouknine, Youssef
3
2021
Generalized heredity in \(\mathcal{B}\)-free systems. Zbl 1479.37015
Keller, Gerhard
3
2021
Mean exit time and escape probability for the stochastic logistic growth model with multiplicative \(\alpha\)-stable Lévy noise. Zbl 1481.60116
Tesfay, Almaz; Tesfay, Daniel; Khalaf, Anas; Brannan, James
3
2021
Randomly switched vector fields sharing a zero on a common invariant face. Zbl 1470.60211
Strickler, Edouard
3
2021
Generic properties of invariant measures of full-shift systems over perfect Polish metric spaces. Zbl 1485.37003
Carvalho, Silas L.; Condori, Alexander
2
2021
Averaging principle for impulsive stochastic partial differential equations. Zbl 1475.60122
Liu, Jiankang; Xu, Wei; Guo, Qin
2
2021
Necessary and sufficient condition for \(\mathcal{M}_2\)-convergence to a Lévy process for billiards with cusps at flat points. Zbl 1481.37006
Jung, Paul; Melbourne, Ian; Pène, Françoise; Varandas, Paulo; Zhang, Hong-Kun
2
2021
Fecundity regulation in a spatial birth-and-death process. Zbl 1470.60234
Bezborodov, Viktor; Di Persio, Luca; Finkelshtein, Dmitri; Kondratiev, Yuri; Kutoviy, Oleksandr
2
2021
Fractional stochastic heat equation with piecewise constant coefficients. Zbl 1476.60076
Mishura, Yuliya; Ralchenko, Kostiantyn; Zili, Mounir; Zougar, Eya
2
2021
Asymptotic expansion for the quadratic variations of the solution to the heat equation with additive white noise. Zbl 1461.62139
Araya, Héctor; Tudor, Ciprian A.
2
2021
Cramér-type moderate deviations for the likelihood ratio process of Ornstein-Uhlenbeck process with shift. Zbl 1461.62173
Jiang, Hui; Liu, Hui
2
2021
Wong-Zakai approximations and attractors for stochastic degenerate parabolic equations on unbounded domains. Zbl 1479.35130
Miao, Fahe; Liu, Hui; Xin, Jie
1
2021
Mean-field backward-forward stochastic differential equations and nonzero sum stochastic differential games. Zbl 1483.60078
Chen, Yinggu; Djehiche, Boualem; Hamadène, Said
1
2021
On some properties of sticky Brownian motion. Zbl 1479.60161
Zhang, Haoyan; Jiang, Pingping
1
2021
Three variations on a theme by Fibonacci. Zbl 1479.37020
Baake, Michael; Frank, Natalie Priebe; Grimm, Uwe
1
2021
On the existence of a \(\sigma\)-finite acim for a random iteration of intermittent Markov maps with uniformly contractive part. Zbl 1479.37054
Toyokawa, Hisayoshi
1
2021
The Kramers problem for SDEs driven by small, accelerated Lévy noise with exponentially light jumps. Zbl 1474.60146
de Oliveira Gomes, André; Högele, Michael A.
1
2021
Some characterizations for the CIR model with Markov switching. Zbl 1471.91593
Tong, Jinying; Sun, Yaqin; Zhang, Zhenzhong; Zhou, Tiandao; Qin, Zhenjiang
1
2021
Uniform attractors for a class of stochastic evolution equations with multiplicative fractional noise. Zbl 1481.37095
Zeng, Caibin; Lin, Xiaofang; Cui, Hongyong
1
2021
Higher order asymptotics for large deviations. II. Zbl 1475.60058
Fernando, Kasun; Hebbar, Pratima
1
2021
Well-posedness of SVI solutions to singular-degenerate stochastic porous media equations arising in self-organized criticality. Zbl 1475.60125
Neuss, Marius
1
2021
Existence of densities for stochastic evolution equations driven by fractional Brownian motion. Zbl 1477.60082
de Nascimento, Jorge A.; Ohashi, Alberto
1
2021
Controllability for impulsive neutral stochastic delay partial differential equations driven by fBm and Lévy noise. Zbl 1459.35412
Huan, Diem Dang; Agarwal, Ravi P.
1
2021
A note on parameter estimation for discretely sampled SPDEs. Zbl 1451.60063
Cialenco, Igor; Huang, Yicong
23
2020
Existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay. Zbl 1442.34125
Ma, Xiao; Shu, Xiao-Bao; Mao, Jianzhong
22
2020
A law of large numbers and large deviations for interacting diffusions on Erdős-Rényi graphs. Zbl 1434.60279
Coppini, Fabio; Dietert, Helge; Giacomin, Giambattista
18
2020
Parameter estimation for Gaussian mean-reverting Ornstein-Uhlenbeck processes of the second kind: non-ergodic case. Zbl 1462.60042
Alazemi, Fares; Alsenafi, Abdulaziz; Es-Sebaiy, Khalifa
9
2020
Rates in almost sure invariance principle for quickly mixing dynamical systems. Zbl 1434.60104
Cuny, C.; Dedecker, J.; Korepanov, A.; Merlevède, F.
7
2020
Stability of McKean-Vlasov stochastic differential equations and applications. Zbl 1465.60047
Bahlali, Khaled; Mezerdi, Mohamed Amine; Mezerdi, Brahim
7
2020
Dynamics of stochastic FitzHugh-Nagumo systems with additive noise on unbounded thin domains. Zbl 1439.35592
Shi, Lin; Li, Dingshi; Li, Xiliang; Wang, Xiaohu
6
2020
Weak well-posedness of multidimensional stable driven SDEs in the critical case. Zbl 1456.60143
Chaudru de Raynal, Paul-Éric; Menozzi, Stéphane; Priola, Enrico
5
2020
Random invariant manifolds for ill-posed stochastic evolution equations. Zbl 1441.37088
Neamţu, Alexandra
5
2020
Berry-Esséen bound for the parameter estimation of fractional Ornstein-Uhlenbeck processes. Zbl 1472.60090
Chen, Yong; Kuang, Nenghui; Li, Ying
4
2020
Central limit theorems with a rate of convergence for time-dependent intermittent maps. Zbl 1456.37008
Hella, Olli; Leppänen, Juho
4
2020
Strong Kac’s chaos in the mean-field Bose-Einstein condensation. Zbl 1456.60197
Albeverio, Sergio; De Vecchi, Francesco C.; Romano, Andrea; Ugolini, Stefania
4
2020
Random time change and related evolution equations. Time asymptotic behavior. Zbl 1452.35038
Kochubei, Anatoly N.; Kondratiev, Yuri G.; da Silva, José L.
4
2020
A scaling limit for the stochastic mSQG equations with multiplicative transport noises. Zbl 1454.60096
Luo, Dejun; Saal, Martin
4
2020
Certain functionals of squared telegraph processes. Zbl 1434.60257
Martinucci, Barbara; Meoli, Alessandra
4
2020
Hidden Gibbs measures on shift spaces over countable alphabets. Zbl 1457.37050
Iommi, Godofredo; Lacalle, Camilo; Yayama, Yuki
3
2020
A note on large deviations for unbounded observables. Zbl 1456.37009
Nicol, Matthew; Török, Andrew
3
2020
Random uniform exponential attractors for non-autonomous stochastic lattice systems and FitzHugh-Nagumo lattice systems with quasi-periodic forces and multiplicative noise. Zbl 1454.37076
Han, Zongfei; Zhou, Shengfan
3
2020
Hyperviscous stochastic Navier-Stokes equations with white noise invariant measure. Zbl 1448.60138
Gubinelli, M.; Turra, M.
3
2020
Decay of correlation rate in the mean field limit of point vortices ensembles. Zbl 1469.60334
Grotto, Francesco; Romito, Marco
3
2020
Random switching near bifurcations. Zbl 1441.60057
Hurth, Tobias; Kuehn, Christian
3
2020
Stein’s method of normal approximation for dynamical systems. Zbl 1472.60043
Hella, Olli; Leppänen, Juho; Stenlund, Mikko
2
2020
The multi-transitivity of free semigroup actions. Zbl 1454.37017
Ding, Zhumin; Yin, Jiandong; Luo, Xiaofang
2
2020
Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3. Zbl 1454.60093
Gess, Benjamin; Tsatsoulis, Pavlos
2
2020
On the macroscopic limit of Brownian particles with local interaction. Zbl 1451.35219
Flandoli, Franco; Leocata, Marta; Ricci, Cristiano
2
2020
Global solution of nonlinear stochastic heat equation with solutions in a Hilbert manifold. Zbl 1454.60088
Brzeźniak, Zdzisław; Hussain, Javed
2
2020
Random entropy expansiveness for diffeomorphisms with dominated splittings. Zbl 1440.37041
Mi, Zeya
2
2020
Moderate deviation principle for multivalued stochastic differential equations. Zbl 1443.60066
Zhang, Hua
2
2020
The complement value problem for non-local operators. Zbl 1442.35104
Sun, Wei
2
2020
Local large deviation principle for Wiener process with random resetting. Zbl 1456.60066
Logachov, A.; Logachova, O.; Yambartsev, A.
1
2020
Regularized vortex approximation for 2D Euler equations with transport noise. Zbl 1475.60114
Coghi, Michele; Maurelli, Mario
1
2020
The attractor of piecewise expanding maps of the interval. Zbl 1442.37054
Del Magno, Gianluigi; Dias, João Lopes; Duarte, Pedro; Gaivão, José Pedro
1
2020
\( L^2\)-regularity result for solutions of backward doubly stochastic differential equations. Zbl 1505.60060
Bachouch, Achref; Matoussi, Anis
1
2020
Stochastic integrals and stochastic equations in set-valued and fuzzy-valued frameworks. Zbl 1454.34007
Michta, Mariusz
1
2020
Recurrence in mean for group actions. Zbl 07186897
Zhao, Cao; Ji, Yong
1
2020
Dynamics of \(G\)-processes. Zbl 1445.37009
Jung, W.; Lee, K.; Morales, C. A.
1
2020
Central limit theorem and moderate deviations for a perturbed stochastic Cahn-Hilliard equation. Zbl 1451.60069
Li, Ruinan; Wang, Xinyu
1
2020
A space-consistent version of the minimum-contrast estimator for linear stochastic evolution equations. Zbl 1451.60068
Kříž, Pavel
1
2020
Filtering of Gaussian processes in Hilbert spaces. Zbl 1443.60039
Kubelka, Vít; Maslowski, Bohdan
1
2020
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Cited by 3,749 Authors

61 Wang, Bixiang
60 Caraballo Garrido, Tomás
46 Duan, Jinqiao
40 Kloeden, Peter Eris
37 Li, Yangrong
36 Zhou, Shengfan
34 Yan, Litan
32 Melbourne, Ian
28 Lopes, Artur Oscar
24 Gu, Anhui
24 Shen, Guangjun
23 Stuart, Andrew M.
23 Tudor, Ciprian A.
23 Xu, Yong
22 Shu, Ji
21 Wang, Renhai
21 Wang, Yongjin
20 Han, Xiaoying
20 Lu, Kening
20 Terhesiu, Dalia
19 Pei, Bin
18 Langa, Jose’ Antonio
18 Pagès, Gilles
18 Todd, Mike
18 Wang, Yejuan
17 Huang, Jianhua
17 Jiang, Yiming
16 Chen, Zhang
16 Gao, Hongjun
16 Li, Dingshi
16 Liu, Wei
16 Mao, Xuerong
16 Tindel, Samy
16 Wu, Jianglun
16 Yin, George Gang
16 Zhao, Caidi
15 Merlevède, Florence
15 Yin, Xiuwei
14 Dolgopyat, Dmitry
14 Kesseböhmer, Marc
14 Liu, Jicheng
14 Röckner, Michael
14 Valero, José
14 Wang, Xiaohu
13 Cheban, David Nikolai
13 Freitas, Jorge Milhazes
13 Jentzen, Arnulf
13 Liu, Junfeng
13 Maslowski, Bohdan
13 Real Anguas, José
13 Schmalfuß, Björn
13 Vaienti, Sandro
13 Zhai, Jianliang
13 Zhao, Wenqiang
12 Aaronson, Jon
12 Andres, Jan
12 Bo, Lijun
12 Cerrai, Sandra
12 Cui, Hongyong
12 Huang, Xing
12 Li, Zhi
12 Nicol, Matthew
12 Nualart, David
12 Panloup, Fabien
12 Rasmussen, Martin
12 Ren, Yong
12 Varandas, Paulo
12 Wang, Wei
11 Bruin, Henk
11 Dedecker, Jérôme
11 Es-Sebaiy, Khalifa
11 Freidlin, Mark I.
11 González-Tokman, Cecilia
11 Guo, Boling
11 Hafouta, Yeor
11 Hairer, Martin
11 Högele, Michael Anton
11 Marín-Rubio, Pedro
11 Mohan, Manil Thankamani
11 Ondreját, Martin
11 Russo, Francesco
11 Stadlbauer, Manuel
11 Wu, Fuke
11 Yang, Meihua
11 Yang, Shuang
11 Zeng, Caibin
11 Zhang, Jian
10 Bayraktar, Erhan
10 Brzeźniak, Zdzisław
10 De Vecchi, Francesco Carlo
10 Froyland, Gary
10 Garnier, Josselin
10 Garrido-Atienza, María José
10 Gouëzel, Sébastien
10 Komorowski, Tomasz
10 Peligrad, Magda
10 Pène, Françoise
10 Ruffino, Paulo Régis C.
10 Shi, Lin
10 Siegmund, Stefan
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Cited in 480 Journals

228 Stochastics and Dynamics
141 Stochastic Processes and their Applications
114 Journal of Differential Equations
103 Discrete and Continuous Dynamical Systems. Series B
98 Journal of Mathematical Analysis and Applications
89 Stochastic Analysis and Applications
69 Journal of Statistical Physics
66 Discrete and Continuous Dynamical Systems
65 Ergodic Theory and Dynamical Systems
63 Journal of Mathematical Physics
63 Stochastics
57 Communications in Mathematical Physics
49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
44 Statistics & Probability Letters
44 Journal of Theoretical Probability
42 Nonlinearity
39 The Annals of Applied Probability
39 Dynamical Systems
38 Physica D
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35 Journal of Dynamics and Differential Equations
34 Transactions of the American Mathematical Society
34 Bernoulli
31 Applied Mathematics and Optimization
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31 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
31 Abstract and Applied Analysis
31 Advances in Difference Equations
30 Electronic Journal of Probability
28 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
27 The Annals of Probability
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24 Journal of Functional Analysis
23 SIAM Journal on Control and Optimization
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22 Israel Journal of Mathematics
22 Advances in Mathematics
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21 Journal of Mathematical Sciences (New York)
21 Acta Mathematica Sinica. English Series
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19 SIAM Journal on Mathematical Analysis
19 Communications in Nonlinear Science and Numerical Simulation
19 Frontiers of Mathematics in China
18 Applicable Analysis
18 Science China. Mathematics
18 Stochastic and Partial Differential Equations. Analysis and Computations
17 Journal of Computational and Applied Mathematics
17 Bulletin des Sciences Mathématiques
16 Physica A
16 Chaos, Solitons and Fractals
15 International Journal of Control
15 Bulletin of the Brazilian Mathematical Society. New Series
14 Mathematical Methods in the Applied Sciences
14 Infinite Dimensional Analysis, Quantum Probability and Related Topics
13 Mathematical Problems in Engineering
12 Random Operators and Stochastic Equations
12 Electronic Communications in Probability
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12 Modern Stochastics. Theory and Applications
11 Advances in Applied Probability
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11 Nonlinear Analysis. Real World Applications
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10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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9 Systems & Control Letters
9 Chinese Annals of Mathematics. Series B
9 Acta Mathematicae Applicatae Sinica. English Series
9 NoDEA. Nonlinear Differential Equations and Applications
9 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
9 Journal of Inequalities and Applications
9 Discrete Dynamics in Nature and Society
9 Statistical Inference for Stochastic Processes
9 Journal of Applied Analysis and Computation
8 Computers & Mathematics with Applications
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8 European Journal of Operational Research
8 SIAM Journal on Applied Dynamical Systems
8 Evolution Equations and Control Theory
8 Open Mathematics
7 Archive for Rational Mechanics and Analysis
7 Journal of Statistical Planning and Inference
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7 Monatshefte für Mathematik
7 SIAM Journal on Scientific Computing
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