## Stochastic Analysis and Applications

 Short Title: Stochastic Anal. Appl. Publisher: Taylor & Francis, Philadelphia, PA ISSN: 0736-2994; 1532-9356/e Online: http://www.tandfonline.com/loi/lsaa20 Comments: Indexed cover-to-cover
 Documents Indexed: 1,903 Publications (since 1983) References Indexed: 1,860 Publications with 34,634 References.
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### Authors

 34 Elliott, Robert James 31 Rosalsky, Andrew 25 Kannan, Devika 25 Mao, Xuerong 20 Prakasa Rao, B. L. S. 19 Anh, Vo V. 17 Florchinger, Patrick 17 Yin, Gang George 16 Caraballo Garrido, Tomás 16 Ghosh, Mrinal Kanti 16 Volodin, Andrei I. 15 Del Moral, Pierre 15 Xiong, Dewen 14 Allen, Edward James 14 de Korvin, André 14 Leonenko, Nikolai N. 13 Abundo, Mario 13 Morozan, Toader 13 Ouknine, Youssef 12 Ahmed, Nasir Uddin 12 Da Prato, Giuseppe 12 Dshalalow, Jewgeni H. 12 Ruiz-Medina, María Dolores 12 Taylor, Robert Lee 11 Farahmand, Kambiz 11 Kleyle, Robert M. 11 Kohlmann, Michael 11 Ladde, Gangaram S. 10 Aggoun, Lakhdar 10 Jiang, Daqing 10 Kloeden, Peter Eris 10 Liu, Kai 10 Sambandham, Masilamani 10 Stehlík, Milan 10 Yuan, Chenggui 9 Chow, Pao-Liu 9 Jasra, Ajay 9 Liu, Qun 9 Øksendal, Bernt Karsten 9 Ramachandran, Kandethody M. 9 Sivazlian, B. D. 8 Anastassiou, George Angelos 8 Gakis, K. G. 8 Grecksch, Wilfried 8 Kolmanovskii, Vladimir Borisovich 8 Krishnamoorthy, Achyutha 8 Ma, Chunsheng 8 Michta, Mariusz 8 Siu, Tak Kuen 7 Ayoola, Ezekiel O. 7 Chang, Mouhsiung 7 Drăgan, Vasile 7 Flandoli, Franco 7 Govindan, T. E. 7 Hayat, Tasawar 7 Hu, Tienchung 7 Keel, Lee H. 7 Kiseľák, Jozef 7 Li, Deli 7 Noble, John M. 7 Shahzad, Naseer 7 Tsokos, Christos P. 7 Tudor, Constantin 7 Yeung, David Wing-Kay 7 Zhang, Bo 6 Albeverio, Sergio A. 6 Al-saedi, Ahmed Eid Salem 6 Angulo, José Miguel 6 Arivarignan, G. 6 Basak, Gopal Krishna 6 Benth, Fred Espen 6 Capasso, Vincenzo 6 Guo, Xianping 6 Jordanova, Pavlina K. 6 Katehakis, Michael N. 6 Kim, Jai Heui 6 Kisielewicz, Michał 6 León, Jorge A. 6 Lin, Zhengyan 6 Nualart, David 6 Papageorgiou, Nikolaos S. 6 Real Anguas, José 6 Rekab, Kamel 6 Sung, Soohak 6 Tubaro, Luciano 6 Vuillermot, Pierre-A. 6 Xie, Yingchao 6 Yadavalli, Venkata S. S. 5 Antonelli, Peter Louis 5 Boukas, El-Kébir 5 Chae, Kyung Chul 5 Dozzi, Marco E. 5 Ghosh, Mini 5 Gopalan, M. N. 5 Hu, Ying 5 Kim, Yoontae 5 Korzeniowski, Andrzej 5 Lakshmikantham, Vangipuram 5 Lisei, Hannelore 5 Mishra, Mahendra Nath ...and 1,836 more Authors
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### Fields

 1,611 Probability theory and stochastic processes (60-XX) 283 Systems theory; control (93-XX) 203 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 188 Statistics (62-XX) 164 Partial differential equations (35-XX) 156 Ordinary differential equations (34-XX) 123 Operations research, mathematical programming (90-XX) 116 Numerical analysis (65-XX) 73 Operator theory (47-XX) 70 Biology and other natural sciences (92-XX) 56 Dynamical systems and ergodic theory (37-XX) 50 Calculus of variations and optimal control; optimization (49-XX) 35 Measure and integration (28-XX) 32 Functional analysis (46-XX) 24 Quantum theory (81-XX) 24 Statistical mechanics, structure of matter (82-XX) 21 Real functions (26-XX) 21 Computer science (68-XX) 18 Integral equations (45-XX) 14 Approximations and expansions (41-XX) 14 Fluid mechanics (76-XX) 12 Mathematical logic and foundations (03-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Global analysis, analysis on manifolds (58-XX) 8 General topology (54-XX) 8 Mechanics of deformable solids (74-XX) 7 Difference and functional equations (39-XX) 6 Combinatorics (05-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Mechanics of particles and systems (70-XX) 6 Geophysics (86-XX) 6 Information and communication theory, circuits (94-XX) 5 Special functions (33-XX) 4 Number theory (11-XX) 3 Potential theory (31-XX) 3 Abstract harmonic analysis (43-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Optics, electromagnetic theory (78-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

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1,355 Publications have been cited 9,013 times in 7,070 Documents Cited by Year
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Pricing options under a generalized Markov-modulated jump-diffusion model. Zbl 1155.91380
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A family of minimax rates for density estimators in continuous time. Zbl 0971.62023
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The order of approximations for solutions of Itô-type stochastic differential equations with jumps. Zbl 1056.60065
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Construction of equivalent stochastic differential equation models. Zbl 1137.60026
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Wiener integrals with respect to the Hermite process and a non-central limit theorem. Zbl 1130.60061
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The behavior of an SIR epidemic model with stochastic perturbation. Zbl 1272.60035
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Nonlinear stochastic differential inclusions on Banach space. Zbl 0789.60052
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Comparison theorems of backward doubly stochastic differential equations and applications. Zbl 1067.60046
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A strong law of large numbers for arrays of rowwise negatively dependent random variables. Zbl 1003.60032
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Some general strong laws for weighted sums of stochastically dominated random variables. Zbl 0617.60028
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Stabilization and destabilization by noise in the plane. Zbl 0766.60072
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A universal formula for the stabilization of control stochastic differential equations. Zbl 0770.60058
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1993
Optimal control of stochastic partial differential equations. Zbl 1156.93406
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The approximation of multiple stochastic integrals. Zbl 0761.60048
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Stability and robust stabilization to linear stochastic systems described by differential equations with Markovian jumping and multiplicative white noise. Zbl 1136.60335
2002
A maximum principle for stochastic control with partial information. Zbl 1140.93046
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2007
Almost sure exponential stability for stochastic partial functional differential equations. Zbl 0911.60054
Taniguchi, Takeshi
1998
Adapted solution of a backward stochastic nonlinear Volterra integral equation. Zbl 0999.60052
Lin, Jianzhong
2002
Stochastic Navier-Stokes equations with multiplicative noise. Zbl 0762.35083
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1992
Hölder flow and differentiability for SDEs with nonregular drift. Zbl 1281.60055
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2013
A note on stochastic convolution. Zbl 0758.60049
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1992
Existence, uniqueness and space regularity of the adapted solutions of a backward SPDE. Zbl 0876.60044
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1996
Fractional generalized random fields of variable order. Zbl 1069.60040
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2004
Fixed points and stability of stochastic neutral partial differential equations with infinite delays. Zbl 1177.93094
Luo, Jiaowan; Taniguchi, Takeshi
2009
Almost sure convergence theorems of weighted sums of random variables. Zbl 0633.60049
Choi, Bong Dae; Sung, Soo Hak
1987
Stability of mild solutions of stochastic evolution equations with variable delay. Zbl 1036.60052
Govindan, T. E.
2003
Existence and uniqueness results for neutral SDEs in Hilbert spaces. Zbl 1110.60063
Mahmudov, N. I.
2006
Nonzero sum linear-quadratic stochastic differential games and backward-forward equations. Zbl 0922.60050
1999
Some inequalities for martingales and stochastic convolutions. Zbl 0622.60066
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1986
Set-valued stochastic integrals and stochastic inclusions. Zbl 0891.93070
Kisielewicz, Michał
1997
Stochastic population systems. Zbl 1180.92071
Cheng, Shuenn-Ren
2009
An approach to Ito linear equations in Hilbert spaces by approximation of white noise with coloured noise. Zbl 0547.60066
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1984
A stopped Doob inequality for stochastic convolution integrals and stochastic evolution equations. Zbl 0552.60058
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1984
Vector random fields with second-order moments or second-order increments. Zbl 1213.60071
Ma, Chunsheng
2011
Distributions and first moments of the busy and idle periods in controllable $$M/G/1$$ queueing models with simple and dyadic policies. Zbl 0819.60085
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1995
Estimation for nonlinear stochastic differential equations by a local linearization method. Zbl 0912.60078
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1998
A class of measure-valued branching diffusions in a random medium. Zbl 0913.60091
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1998
Parameter estimates and exact variations for stochastic heat equations driven by space-time white noise. Zbl 1118.60030
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2007
An estimate of Burkholder type for stochastic processes defined by the stochastic integral. Zbl 0539.60056
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1984
Fractional generalized random fields on bounded domains. Zbl 1043.60042
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2003
When are HJB-equations in stochastic control of delay systems finite dimensional? Zbl 1052.60051
2003
Martingale representation of functionals of Lévy processes. Zbl 1060.60058
Løkka, Arne
2004
The Milstein scheme for stochastic delay differential equations without using anticipative calculus. Zbl 1247.65005
Kloeden, P. E.; Shardlow, T.
2012
On the moments of the modulus of continuity of Itô processes. Zbl 1182.60021
Fischer, Markus; Nappo, Giovanna
2010
Abstract second-order damped McKean-Vlasov stochastic evolution equations. Zbl 1102.35044
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2006
A stochastic Filippov theorem. Zbl 0810.60059
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1994
Some results on linear stochastic evolution equations in Hilbert spaces by the semi-groups method. Zbl 0511.60055
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1983
On complete convergence for arrays of rowwise independent random elements in Banach spaces. Zbl 0940.60032
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1999
On set-valued stochastic integrals. Zbl 1049.60048
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2003
Stochastic Taylor expansions for the expectation of functionals of diffusion processes. Zbl 1065.60068
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2004
Approximate controllability of neutral stochastic functional differential systems with infinite delay. Zbl 1186.93014
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2010
Invariant measures for semilinear stochastic equations. Zbl 0758.60057
Da Prato, Giuseppe; Gątarek, D.; Zabczyk, Jerzy
1992
Partial differential equations with delayed random perturbations: Existence, uniqueness, and stability of solutions. Zbl 0790.60054
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1993
Asymptotic analysis of p.d.e.s with wide-band noise disturbances, and expansion of the moments. Zbl 0574.60066
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1984
Approximative solutions of the coagulation-fragmentation equation by stochastic particle systems. Zbl 0974.60090
Eibeck, Andreas; Wagner, Wolfgang
2000
Stochastic convolutions driven by martingales: Maximal inequalities and exponential integrability. Zbl 1153.60035
Hausenblas, Erika; Seidler, Jan
2008
On a class of stochastic Anderson models with fractional noises. Zbl 1136.60345
Bo, Lijun; Jiang, Yiming; Wang, Yongjin
2008
Generalized reflected BSDE and an obstacle problem for PDEs with a nonlinear Neumann boundary condition. Zbl 1122.60055
Ren, Yong; Xia, Ningmao
2006
Stationary solutions of nonlinear stochastic evolution equations. Zbl 0899.60056
Chow, Pao-Liu; Khasminskii, Rafail Z.
1997
Existence of solution of nonlinear neutral stochastic differential inclusions with infinite delay. Zbl 1182.35243
Li, Yong; Liu, Bing
2007
On spectral representations of tensor random fields on the sphere. Zbl 1239.60038
Leonenko, N.; Sakhno, L.
2012
Stochastic differential equations with nonlocal sample dependence. Zbl 1205.60131
Kloeden, Peter E.; Lorenz, Thomas
2010
Asymptotic results for ruin probability of a two-dimensional renewal risk model. Zbl 1271.62244
Chen, Yang; Wang, Yuebao; Wang, Kaiyong
2013
Optimal stabilizing compensator for linear systems with state-dependent noise. Zbl 0808.93066
Drăgan, V.; Morozan, T.; Halanay, A.
1992
Stability of stochastic integro-differential equations. Zbl 0969.60068
Mao, Xuerong
2000
Financial markets with memory. I: Dynamic models. Zbl 1108.91035
Anh, V.; Inoue, A.
2005
On the strong rates of convergence for arrays of rowwise negatively dependent random variables. Zbl 1223.60023
Qiu, Dehua; Chang, Kuang-Chao; Giuliano Antonini, Rita; Volodin, Andrei
2011
A note on Merton’s portfolio selection problem for the Schwartz mean-reversion model. Zbl 1074.60068
Benth, Fred Espen; Karlsen, Kenneth Hvistendahl
2005
Stability and uniform particle approximation of nonlinear filters in case of non ergodic signals. Zbl 1140.93485
2005
Extension and application of Itô’s formula under $$G$$-framework. Zbl 1222.60048
Zhang, Bo; Xu, Jing; Kannan, D.
2010
No arbitrage and the growth optimal portfolio. Zbl 1163.91017
Christensen, Morten Mosegaard; Larsen, Kasper
2007
Martingale solutions for stochastic Euler equations. Zbl 0944.60072
Bessaih, Hakima
1999
Stochastic averaging principle for systems with pathwise uniqueness. Zbl 0824.60048
Golec, Janusz
1995
An approximation theorem of Wong-Zakai type for nonlinear stochastic partial differential equations. Zbl 0839.60059
Twardowska, Krystyna
1995
Asymptotical mean square stability of an equilibrium point of some linear numerical solutions with multiplicative noise. Zbl 0860.60040
Schurz, Henri
1996
Existence of solutions of nonlinear neutral stochastic differential inclusions in a Hilbert space. Zbl 1081.34083
Balasubramaniam, P.; Vinayagam, D.
2005
Donsker type theorem for the Rosenblatt process and a binary market model. Zbl 1166.60313
2009
Integrability of (non-)linear rough differential equations and integrals. Zbl 1274.60173
Friz, Peter; Riedel, Sebastian
2013
Strong Feller property for stochastic semilinear equations. Zbl 0817.60081
Da Prato, Giuseppe; Elworthy, K. D.; Zabczyk, Jerzy
1995
Stabilization of some stochastic discrete-time control systems. Zbl 0517.93061
Morozan, T.
1983
On the sum of independent generalized Mittag-Leffler random variables and the related fractional processes. Zbl 1480.60100
Cinque, Fabrizio
2022
The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm. Zbl 07407255
Guo, Yuchen; Chen, Mengqi; Shu, Xiao-Bao; Xu, Fei
2021
Functional central limit theorems for multivariate Bessel processes in the freezing regime. Zbl 1469.60095
Voit, Michael; Woerner, Jeannette H. C.
2021
A Kolmogorov-type theorem for stochastic fields. Zbl 1480.60185
Wei, Jinlong; Lv, Guangying
2021
Fractional neutral stochastic differential equations with Caputo fractional derivative: fractional Brownian motion, Poisson jumps, and optimal control. Zbl 1462.34106
Ramkumar, K.; Ravikumar, K.; Varshini, S.
2021
Ergodic risk-sensitive stochastic differential games with reflecting diffusions in a bounded domain. Zbl 1475.91022
2021
A fractional model for the COVID-19 pandemic: application to Italian data. Zbl 1475.92143
Alòs, Elisa; Mancino, Maria Elvira; Merino, Raúl; Sanfelici, Simona
2021
On the almost sure convergence of a stochastic process in a class of nonlinear multi-population behavioral models for HIV/AIDS with delayed ART treatment. Zbl 1474.92064
Wanduku, Divine
2021
On COVID-19 outbreaks predictions: issues on stability, parameter sensitivity, and precision. Zbl 1470.92351
Stehlík, M.; Kiseľák, J.; Dinamarca, M. Alejandro; Li, Y.; Ying, Y.
2021
On a mixed fractional Burgers type equation with polynomial nonlinearity and perturbed by fractional Brownian sheet. Zbl 1479.60131
Kumar, Vivek; Giri, Ankik Kumar
2021
Deterministic and stochastic equations of motion arising in Oldroyd fluids of order one: existence, uniqueness, exponential stability and invariant measures. Zbl 1431.35105
Mohan, Manil T.
2020
Stability result of higher-order fractional neutral stochastic differential system with infinite delay driven by Poisson jumps and Rosenblatt process. Zbl 1440.60049
Dhanalakshmi, K.; Balasubramaniam, P.
2020
Stochastic analysis of a two delayed epidemic model incorporating Lévy processes with a general non-linear transmission. Zbl 1444.92111
El Fatini, Mohamed; Boukanjime, Brahim
2020
Nonzero-sum risk-sensitive stochastic differential games with discounted costs. Zbl 1461.91030
Ghosh, Mrinal K.; Suresh Kumar, K.; Pal, Chandan; Pradhan, Somnath
2020
Multilevel Monte Carlo estimation of expected information gains. Zbl 1466.65006
Goda, Takashi; Hironaka, Tomohiko; Iwamoto, Takeru
2020
Time-changed Poisson processes of order $$k$$. Zbl 1427.60091
Sengar, Ayushi S.; Maheshwari, A.; Upadhye, N. S.
2020
Stochastic delay foraging arena predator-prey system with Markov switching. Zbl 1437.37115
Cai, Yongmei; Cai, Siyang; Mao, Xuerong
2020
Asymptotic behavior of stochastic Schrödinger lattice systems driven by nonlinear noise. Zbl 1437.37102
Wang, Bixiang; Wang, Renhai
2020
Dynamical behavior of stochastic predator-prey models with distributed delay and general functional response. Zbl 1444.92092
Liu, Qun; Jiang, Daqing; Hayat, Tasawar; Alsaedi, Ahmed
2020
Sharp space-time regularity of the solution to stochastic heat equation driven by fractional-colored noise. Zbl 1447.60064
Herrell, Randall; Song, Renming; Wu, Dongsheng; Xiao, Yimin
2020
More on maximal inequalities for sub-fractional Brownian motion. Zbl 1436.60042
Prakasa Rao, B. L. S.
2020
Young-Stieltjes integrals with respect to Volterra covariance functions. Zbl 1456.60134
Lim, Nengli
2020
The second-order parabolic PDEs with singular coefficients and applications. Zbl 1467.60052
Tian, Rongrong; Wei, Jinlong; Tang, Yanbin
2020
The law of the iterated logarithm for a piecewise deterministic Markov process assured by the properties of the Markov chain given by its post-jump locations. Zbl 1472.60125
Czapla, Dawid; Hille, Sander C.; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna
2020
Tempered fractional Poisson processes and fractional equations with $$Z$$-transform. Zbl 1472.60070
Gupta, Neha; Kumar, Arun; Leonenko, Nikolai
2020
On some functionals of the first passage times in jump models of stochastic volatility. Zbl 1427.60170
Gapeev, Pavel V.; Stoev, Yavor I.
2020
Properties of bounded stochastic processes employed in biophysics. Zbl 1457.60107
Domingo, Dario; d&rsquo;Onofrio, Alberto; Flandoli, Franco
2020
An inverse problem for the first-passage place of some diffusion processes with random starting point. Zbl 1456.60196
Abundo, Mario
2020
New stochastic operational matrix method for solving stochastic Itô-Volterra integral equations characterized by fractional Brownian motion. Zbl 1472.60110
Saha Ray, S.; Singh, S.
2020
Approximate controllability of second-order non-autonomous stochastic impulsive differential systems. Zbl 1466.34058
Singh, Vikram; Chaudhary, Renu; Pandey, Dwijendra N.
2020
Dynamics of a multigroup SIQS epidemic model under regime switching. Zbl 1468.92058
Liu, Qun; Jiang, Daqing; Hayat, Tasawar; Alsaedi, Ahmed; Ahmad, Bashir
2020
On Bernstein processes of maximal entropy. Zbl 1472.60108
Vuillermot, Pierre-A.
2020
Fredholm integral relation between compound estimation and prediction (FIRCEP). Zbl 1442.62176
Stehlík, M.; Kisel&rsquo;ák, J.; Bukina, E.; Lu, Y.; Baran, S.
2020
Analysis of stochastic viral infection model with lytic and nonlytic immune responses. Zbl 1444.92121
Rajaji, R.; Pitchaimani, M.
2020
Modeling treatment of cancer using oncolytic virotherapy with saturated incidence. Zbl 1444.92045
Rajalakshmi, M.; Ghosh, Mini
2020
Existence, uniqueness, and numerical approximations for stochastic Burgers equations. Zbl 1447.60117
Mazzonetto, Sara; Salimova, Diyora
2020
Forward-backward stochastic differential equation games with delay and noisy memory. Zbl 1444.91022
Dahl, Kristina Rognlien
2020
On mean field games with common noise and McKean-Vlasov SPDEs. Zbl 1415.60075
Kolokoltsov, Vassili N.; Troeva, Marianna
2019
Computational scheme for solving nonlinear fractional stochastic differential equations with delay. Zbl 07123588
Moghaddam, B. P.; Mendes Lopes, A.; Tenreiro Machado, J. A.; Mostaghim, Z. S.
2019
Stability of random impulsive coupled systems on networks with Markovian switching. Zbl 1428.34083
Wang, Mengxin; Li, Wenxue
2019
Time-inhomogeneous fractional Poisson processes defined by the multistable subordinator. Zbl 07054770
Beghin, Luisa; Ricciuti, Costantino
2019
Existence results for a class of impulsive neutral fractional stochastic integro-differential systems with state dependent delay. Zbl 07098095
Chaudhary, Renu; Pandey, Dwijendra N.
2019
Dynamic risk measure for BSVIE with jumps and semimartingale issues. Zbl 1426.60060
Agram, Nacira
2019
Stationary distribution and extinction of a stochastic one-prey two-predator model with Holling type II functional response. Zbl 1415.34091
Liu, Qun; Jiang, Daqing
2019
On impulsive Hilfer fractional stochastic differential system driven by Rosenblatt process. Zbl 1428.34022
Saravanakumar, S.; Balasubramaniam, P.
2019
Non-homogeneous space-time fractional Poisson processes. Zbl 07054768
Maheshwari, A.; Vellaisamy, P.
2019
Dynamical behavior of a hybrid switching SIS epidemic model with vaccination and Lévy jumps. Zbl 1415.34092
Liu, Qun; Jiang, Daqing; Hayat, Tasawar; Alsaedi, Ahmed
2019
Hermite-Hadamard’s inequality for pseudo-fractional integral operators. Zbl 1426.26054
2019
A new generalized Gronwall inequality with a double singularity and its applications to fractional stochastic differential equations. Zbl 1472.34011
Ding, Xiao-Li; Daniel, Cao-Labora; Nieto, Juan J.
2019
A variational approach to nonlinear and interacting diffusions. Zbl 1480.65025
Arnaudon, Marc; Del Moral, Pierre
2019
On the convolution of Mittag-Leffler distributions and its applications to fractional point processes. Zbl 1435.60033
Kataria, Kuldeep Kumar; Vellaisamy, Palaniappan
2019
Hybrid competitive Lotka-Volterra ecosystems: countable switching states and two-time-scale models. Zbl 1481.60151
Bui, Trang; Yin, George
2019
Nonparametric estimation of trend for stochastic differential equations driven by mixed fractional Brownian motion. Zbl 1460.62140
Prakasa Rao, B. L. S.
2019
An inverse first-passage problem revisited: the case of fractional Brownian motion, and time-changed Brownian motion. Zbl 1481.60078
Abundo, Mario
2019
Almost automorphic solutions for mean-field stochastic differential equations driven by fractional Brownian motion. Zbl 07054373
Chen, Feng; Zhang, Xiaoying
2019
Model uncertainty stochastic mean-field control. Zbl 1432.93377
Agram, Nacira; Øksendal, Bernt
2019
Stochastic semi-linear degenerate parabolic model with multiplicative noise and deterministic non-autonomous forcing. Zbl 1415.37099
Guo, Zhouxiong; Yang, Lu
2019
Selection theorems for set-valued stochastic integrals. Zbl 1440.60045
Kisielewicz, Michał; Motyl, Jerzy
2019
Gibbsian dynamics and ergodicity of magnetohydrodynamics and related systems forced by random noise. Zbl 1416.35222
Yamazaki, Kazuo
2019
On ecological aspects of dynamics for zero slope regression for water pollution in Chile. Zbl 1416.92184
Stehlík, Milan; Soza, L. Núñez; Fabián, Z.; Jiřina, M.; Jordanova, P.; Arancibia, S. C.; Kisel&rsquo;ák, J.
2019
Uniform propagation of chaos and creation of chaos for a class of nonlinear diffusions. Zbl 1423.60122
Del Moral, Pierre; Tugaut, Julian
2019
Modeling dynamics of the spread of crime in a society. Zbl 1428.34129
Srivastav, Akhil Kumar; Ghosh, Mini; Chandra, Peeyush
2019
An SDE model for deterioration of rock surfaces. Zbl 1425.74315
Allen, Edward J.
2019
Remark on pathwise uniqueness of stochastic differential equations driven by Lévy processes. Zbl 07054769
2019
Multilevel Monte Carlo in approximate Bayesian computation. Zbl 1426.65005
Jasra, Ajay; Jo, Seongil; Nott, David; Shoemaker, Christine; Tempone, Raul
2019
A novel approach for stochastic solutions of Wick-type stochastic time-fractional Benjamin-Bona-Mahony equation for modeling long surface gravity waves of small amplitude. Zbl 1414.60048
Sahoo, S.; Saha Ray, S.
2019
Path dependent equations driven by Hölder processes. Zbl 1432.60058
Andretto Castrequini, Rafael; Russo, Francesco
2019
Non-linear expectations in spaces of Colombeau generalized functions. Zbl 07065384
2019
Estimation of intrinsic growth factors in a class of stochastic population model. Zbl 1415.60064
Li, Jingjie; Wu, Jiang-Lun; Zhang, Guang
2019
Approximate controllability of a fractional stochastic partial integro-differential systems via noncompact operators. Zbl 1416.34056
Yan, Zuomao; Han, Li
2019
Carathéodory approximate solutions for a class of perturbed stochastic differential equations with reflecting boundary. Zbl 07123590
Benabdallah, Mohsine; Bourza, Mohamed
2019
Random attractors for stochastic differential equations driven by two-sided Lévy processes. Zbl 1428.37050
Zhang, Xiaoyu; Xu, Yong; Schmalfuß, Björn; Pei, Bin
2019
Complete convergence theorems for weighted row sums from arrays of random elements in Rademacher type $$p$$ and martingale type $$p$$ Banach spaces. Zbl 1423.60057
Hu, Tien-Chung; Rosalsky, Andrew; Volodin, Andrei
2019
Random differential equations with discrete delay. Zbl 07098087
Calatayud, J.; Cortés, J.-C.; Jornet, M.
2019
Existence of solutions and stability for impulsive neutral stochastic functional differential equations. Zbl 07098091
Benhadri, Mimia; Caraballo, Tomás; Halim, Zeghdoudi
2019
Large deviation principle for reflected Poisson driven stochastic differential equations in epidemic models. Zbl 1481.60067
Pardoux, Etienne; Samegni-Kepgnou, Brice
2019
Time-space fractional stochastic Ginzburg-Landau equation driven by Gaussian white noise. Zbl 1383.37064
Shen, Tianlong; Xin, Jie; Huang, Jianhua
2018
McKean-Vlasov limit for interacting systems with simultaneous jumps. Zbl 1420.60042
Andreis, Luisa; Dai Pra, Paolo; Fischer, Markus
2018
Asymptotic separation between solutions of Caputo fractional stochastic differential equations. Zbl 1401.26009
Dr. Son, Doan Thai; Huong, Phan Thi; Kloeden, Peter E.; Tuan, Hoang The
2018
Stationary distribution and extinction of a stochastic SIRI epidemic model with relapse. Zbl 1395.34052
Liu, Qun; Jiang, Daqing; Hayat, Tasawar; Ahmad, Bashir
2018
Retarded stochastic differential equations with infinite delay driven by Rosenblatt process. Zbl 1392.60054
Sakthivel, R.; Revathi, P.; Ren, Yong; Shen, Guangjun
2018
Causal transport plans and their Monge-Kantorovich problems. Zbl 1385.93087
Lassalle, Rémi
2018
The regularity of fractional stochastic evolution equations in Hilbert space. Zbl 1414.60049
Su, Xiaoyan; Li, Miao
2018
Stochastic averaging principles for multi-valued stochastic differential equations driven by Poisson point processes. Zbl 1401.60090
Guo, Rong; Pei, Bin
2018
Limiting measure and stationarity of solutions to stochastic evolution equations with Volterra noise. Zbl 1390.60227
Čoupek, P.
2018
Asymptotic expansions of solutions of stochastic differential equations driven by multivariate fractional Brownian motions having Hurst indices greater than $$1/3$$. Zbl 1420.60075
2018
Study a class of Hilfer fractional stochastic integrodifferential equations with Poisson jumps. Zbl 1472.74207
Balasubramaniam, P.; Saravanakumar, S.; Ratnavelu, K.
2018
Modeling treatment of cancer using virotherapy with generalized logistic growth of tumor cells. Zbl 1411.34080
Rajalakshmi, M.; Ghosh, Mini
2018
The Heston stochastic volatility model in Hilbert space. Zbl 1401.60093
Benth, Fred Espen; Simonsen, Iben Cathrine
2018
A note on a derivation method for SDE models: applications in biology and viability criteria. Zbl 1390.60203
Cresson, Jacky; Sonner, Stefanie
2018
Random attractor for the stochastic Cahn-Hilliard-Navier-Stokes system with small additive noise. Zbl 1391.35070
Li, Fang; You, Bo
2018
Risk-sensitive stochastic differential games with reflecting diffusions. Zbl 1407.91037
2018
The Euler-Maruyama method for S(F)DEs with Hölder drift and $$\alpha$$-stable noise. Zbl 1388.60118
Huang, Xing; Liao, Zhong-Wei
2018
Some analysis of a stochastic logistic growth model. Zbl 1390.60162
Kink, Peter
2018
Approximation theorems for set-valued stochastic integrals. Zbl 1390.60193
Kisielewicz, Michał
2018
Parametric estimation for linear stochastic differential equations driven by mixed fractional Brownian motion. Zbl 1411.62067
Prakasa Rao, B. L. S.
2018
Wong-Zakai approximations with convergence rate for stochastic partial differential equations. Zbl 1407.60088
Nakayama, Toshiyuki; Tappe, Stefan
2018
Topological properties of solution sets for stochastic evolution inclusions. Zbl 1391.34104
Zhou, Yong; Peng, Li; Ahmad, Bashir
2018
Almost sure exponential stabilization by stochastic feedback control based on discrete-time observations. Zbl 1397.93216
Dong, Ran
2018
Dynamical behavior of a stochastic model of gene expression with distributed delay and degenerate diffusion. Zbl 1400.34071
Liu, Qun; Jiang, Daqing; Hayat, Tasawar; Alsaedi, Ahmed
2018
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### Cited by 6,983 Authors

 64 Mao, Xuerong 43 Caraballo Garrido, Tomás 42 Ren, Yong 41 Leonenko, Nikolai N. 41 Rosalsky, Andrew 40 Yan, Litan 38 Tudor, Ciprian A. 37 Volodin, Andrei I. 35 Anh, Vo V. 35 Flandoli, Franco 35 Kloeden, Peter Eris 35 Ruiz-Medina, María Dolores 32 Brzeźniak, Zdzisław 31 Wang, Xuejun 30 Wu, Fuke 29 Siu, Tak Kuen 28 Yuan, Chenggui 27 Elliott, Robert James 26 Ma, Chunsheng 26 Zhou, Shengfan 25 Dshalalow, Jewgeni H. 25 Guo, Xianping 24 Chen, Pingyan 24 Hu, Shuhe 24 Zhu, Quanxin 23 Del Moral, Pierre 23 Duan, Jinqiao 23 Jiang, Daqing 23 Röckner, Michael 22 Da Prato, Giuseppe 22 Mishura, Yuliya Stepanivna 21 Drăgan, Vasile 21 Hu, Tienchung 21 Liu, Kai 21 Luo, Jiaowan 21 Michta, Mariusz 21 Sung, Soohak 21 Xiong, Jie 20 Jasra, Ajay 20 Ke, Jauchuan 20 Maslowski, Bohdan 20 Rößler, Andreas 20 Wu, Zhen 19 Abundo, Mario 19 Allen, Edward James 19 Diop, Mamadou Abdoul 19 Florchinger, Patrick 19 Hausenblas, Erika 19 Øksendal, Bernt Karsten 19 O’Regan, Donal 19 Shen, Guangjun 19 Wang, Yongjin 18 Angulo, José Miguel 18 Garrido-Atienza, María José 18 Huang, Chengming 18 Platen, Eckhard 18 Prakasa Rao, B. L. S. 17 Appleby, John A. D. 17 Schmalfuß, Björn 17 Yan, Zuomao 16 Balasubramaniam, Pagavathigounder 16 Fei, Weiyin 16 Krishnamoorthy, Achyutha 16 Li, Zhi 16 Morozan, Toader 16 Nualart, David 16 Sakthivel, Rathinasamy 16 Yong, Jiongmin 15 Bibi, Abdelouahab 15 Huang, Jianhua 15 Jimenez, Juan Carlos 15 Langa, Jose’ Antonio 15 Li, Shoumei 15 Mohan, Manil Thankamani 15 Shu, Ji 15 Tudor, Constantin 14 Cao, Jinde 14 Capasso, Vincenzo 14 Debrabant, Kristian 14 Farahmand, Kambiz 14 Fuhrman, Marco 14 Gao, Hongjun 14 Hu, Lanying 14 Ladde, Gangaram S. 14 Lakshmikantham, Vangipuram 14 Liu, Qun 14 Nguyen Huu Du 14 Shevchenko, Georgiy M. 14 Xu, Yong 13 Albeverio, Sergio A. 13 Ayoola, Ezekiel O. 13 Barczy, Mátyás 13 Bonaccorsi, Stefano 13 Gu, Anhui 13 Jentzen, Arnulf 13 Pap, Gyula 13 Papageorgiou, Nikolaos S. 13 Pei, Bin 13 Wang, Bixiang 13 Xiong, Dewen ...and 6,883 more Authors
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### Cited in 600 Journals

 651 Stochastic Analysis and Applications 260 Stochastic Processes and their Applications 216 Journal of Mathematical Analysis and Applications 200 Statistics & Probability Letters 141 Applied Mathematics and Computation 112 Journal of Computational and Applied Mathematics 101 Stochastics and Dynamics 99 Journal of Differential Equations 84 Advances in Difference Equations 83 Communications in Statistics. Theory and Methods 75 Abstract and Applied Analysis 70 The Annals of Probability 69 Journal of Theoretical Probability 68 The Annals of Applied Probability 68 Discrete and Continuous Dynamical Systems. Series B 67 Stochastics 64 Applied Mathematics and Optimization 63 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 61 Mathematical Problems in Engineering 57 Systems & Control Letters 53 Automatica 51 Computers & Mathematics with Applications 51 Journal of Inequalities and Applications 50 International Journal of Control 49 Journal of Multivariate Analysis 49 Bernoulli 46 Journal of Applied Probability 44 SIAM Journal on Control and Optimization 42 Journal of Functional Analysis 42 Probability Theory and Related Fields 42 European Journal of Operational Research 42 International Journal of Theoretical and Applied Finance 41 Journal of Mathematical Physics 41 Journal of Statistical Physics 41 Random Operators and Stochastic Equations 40 Chaos, Solitons and Fractals 40 Methodology and Computing in Applied Probability 39 Insurance Mathematics & Economics 38 Journal of the Franklin Institute 38 Acta Mathematica Sinica. English Series 36 Infinite Dimensional Analysis, Quantum Probability and Related Topics 36 Stochastic and Partial Differential Equations. Analysis and Computations 35 Finance and Stochastics 34 Nonlinear Analysis. Theory, Methods & Applications 33 Journal of Statistical Planning and Inference 33 Applied Mathematical Modelling 33 Communications in Nonlinear Science and Numerical Simulation 32 Journal of Optimization Theory and Applications 32 Mathematics and Computers in Simulation 32 Mathematical and Computer Modelling 32 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 30 Acta Mathematicae Applicatae Sinica. English Series 30 Applied Mathematics Letters 30 Journal of Systems Science and Complexity 29 Potential Analysis 29 Discrete Dynamics in Nature and Society 29 Frontiers of Mathematics in China 28 Proceedings of the American Mathematical Society 28 Journal of Evolution Equations 27 BIT 27 Applied Numerical Mathematics 27 Annals of Operations Research 27 Nonlinear Analysis. Real World Applications 27 Quantitative Finance 26 Advances in Applied Probability 26 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 26 Stochastic Models 25 Mathematical Control and Related Fields 24 Acta Applicandae Mathematicae 24 Numerical Algorithms 24 Theory of Probability and Mathematical Statistics 24 Discrete and Continuous Dynamical Systems 24 Mathematical Methods of Operations Research 24 Modern Stochastics. Theory and Applications 23 Fuzzy Sets and Systems 23 Comptes Rendus. Mathématique. Académie des Sciences, Paris 22 Queueing Systems 22 Applied Mathematical Finance 22 Fractional Calculus & Applied Analysis 22 Nonlinear Analysis. Hybrid Systems 22 Science China. Mathematics 21 Electronic Journal of Probability 20 Applicable Analysis 20 Monte Carlo Methods and Applications 20 Mathematical Finance 20 Statistics and Computing 19 Journal of Computational Physics 19 Journal of Econometrics 19 International Journal of Computer Mathematics 19 Journal of Difference Equations and Applications 19 Chaos 19 Probability in the Engineering and Informational Sciences 19 Communications on Pure and Applied Analysis 18 Physica A 18 Journal of Applied Mathematics and Stochastic Analysis 18 Journal of the Korean Statistical Society 18 Electronic Journal of Statistics 17 Optimization 17 Mathematics and Financial Economics 16 Statistics ...and 500 more Journals
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### Cited in 56 Fields

 5,055 Probability theory and stochastic processes (60-XX) 1,110 Systems theory; control (93-XX) 1,056 Partial differential equations (35-XX) 898 Ordinary differential equations (34-XX) 880 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 850 Numerical analysis (65-XX) 760 Statistics (62-XX) 459 Operations research, mathematical programming (90-XX) 417 Biology and other natural sciences (92-XX) 397 Dynamical systems and ergodic theory (37-XX) 320 Calculus of variations and optimal control; optimization (49-XX) 319 Operator theory (47-XX) 148 Fluid mechanics (76-XX) 132 Statistical mechanics, structure of matter (82-XX) 127 Functional analysis (46-XX) 125 Real functions (26-XX) 113 Integral equations (45-XX) 100 Measure and integration (28-XX) 92 Computer science (68-XX) 88 General topology (54-XX) 57 Quantum theory (81-XX) 53 Harmonic analysis on Euclidean spaces (42-XX) 46 Difference and functional equations (39-XX) 43 Approximations and expansions (41-XX) 40 Global analysis, analysis on manifolds (58-XX) 35 Mechanics of deformable solids (74-XX) 35 Geophysics (86-XX) 34 Special functions (33-XX) 33 Mechanics of particles and systems (70-XX) 31 Combinatorics (05-XX) 29 Information and communication theory, circuits (94-XX) 20 Classical thermodynamics, heat transfer (80-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Abstract harmonic analysis (43-XX) 18 Sequences, series, summability (40-XX) 18 Integral transforms, operational calculus (44-XX) 15 Mathematical logic and foundations (03-XX) 15 Potential theory (31-XX) 9 Convex and discrete geometry (52-XX) 8 Number theory (11-XX) 8 Functions of a complex variable (30-XX) 8 Optics, electromagnetic theory (78-XX) 6 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 4 Nonassociative rings and algebras (17-XX) 4 Differential geometry (53-XX) 3 Topological groups, Lie groups (22-XX) 3 Astronomy and astrophysics (85-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Associative rings and algebras (16-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Manifolds and cell complexes (57-XX) 2 Relativity and gravitational theory (83-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Algebraic topology (55-XX)