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• Author = Goldys B     [web profile page]

1. Goldys B, Jiao C, Kim KN
Beniamin Goldys, Chunxi Jiao and Kim Ngan Le: Existence, uniqueness and regularity of solutions to the stochastic Landau–Lifshitz–Slonczewski equation, Journal of Evolution Equations, 24 (2024), no. 4, 24–79.

2. Goldys B, Nendel M, Röckner M
Ben Goldys, Max Nendel, Michael Röckner: Operator semigroups in the mixed topology and the infinitesimal description of Markov processes✩, Journal of Differential Equations, 412 (2024), 23–86.

3. Brzezniak Z, Goldys B, Li L
Zdzisław Brzezniak, Ben Goldys, Liang Li: 3D stochastic Landau-Lifshitz-Gilbert equations coupled with Maxwell’s equations with full energy, Journal of Differential Equations, 390 (2024), 58–124.

4. Goldys B, Peszat S
Beniamin Goldys and Szymon Peszat: On linear stochastic flows, Transactions of the American Mathematical Society, 377 (2024), no. 2, 753–774.

5. Biffis E, Goldys B, Prosdocimi C, Zanella M
Enrico Biffis, Beniamin Goldys, Cecilia Prosdocimi, Margherita Zanella: A pricing formula for delayed claims: appreciating the past to value the future, Mathematics and Financial Economics, 17 (2023), no. 2, 175–202.

6. Goldys B, Peszat S
Beniamin Goldys and Szymon Peszat: Linear parabolic equation with Dirichlet white noise boundary conditions, Journal of Differential Equations, 362 (2023), 56 pages.

7. Droniou J, Goldys B, Le KN
Jerome Droniou, Beniamin Goldys, Kim-Ngan Le: Design and convergence analysis of numerical methods for stochastic evolution equations with Leray–Lions operator, IMA Journal of Numerical Analysis, 42 (2022), 1143–1179.

8. Brzeźniak Z, Goldys B, Ondreját M, Rana N
Zdzisław Brzeźniak, Ben Goldys, Martin Ondreját, Nimit Rana: Large deviations for (1 + 1)-dimensional stochastic geometric wave equation, Journal of Differential Equations, 325 (Open Access) (2022), no. 325, 1–69.

9. Goldys B, Yang JTF, Zhou Z
Beniamin Goldys, James Yang and Zhou Zhou: Singular perturbation of zero-sum linear quadratic stochastic differential games, SIAM Journal on Control and Optimization, 60 (2022), no. 1, 48–80.

10. Goldys B, Neklyudov M
Beniamin Goldys and Misha Neklyudov: Rescaling nonlinear noise for 1D stochastic parabolic equations, Stochastics and Dynamics, 20 (2020), no. 4, 2050027 (17 pages).

11. Brzeźniak Z, Goldys B, Le KN
Zdzisław Brzeźniak, Beniamin Goldys, Kim-Ngan Le: Existence of a unique solution and invariant measures for the stochastic Landau-Lifshitz-Bloch equation, Journal of Differential Equations, 269 (2020), 9471–9507.

12. Goldys B, Grotowski JF, Le KN
Beniamin Goldys , Joseph F Grotowski , Kim-Ngan Le: Weak martingale solutions to the stochastic Landau–Lifshitz–Gilbert equation with multi-dimensional noise via a convergent finite-element scheme, Stochastic Processes and their Applications, 130 (2020), 232–261.

13. Goldys B, Wu W
Beniamin Goldys, Wei Wu: On a class of singular stochastic control problems driven by Lévy noise, Stochastic Processes and their Applications, 129 (2019), no. 9, 3174–3206. MR4203628

14. Brzeźniak Z, Goldys B, Gia QTL
Z Brzeźniak, B Goldys and Q T Le Gia: Random Attractors for the Stochastic Navier–Stokes Equations on the 2D Unit Sphere, Journal of Mathematical Fluid Mechanics, 20 (2018), 227–253.

15. Brzeźniak Z, Goldys B, Jegaraj T
Zdzisław Brzeźniak, Ben Goldys and Terence Jegaraj: Large Deviations and Transitions Between Equilibria for Stochastic Landau–Lifshitz–Gilbert Equation, Archive for Rational Mechanics and Analysis, 226 (2017), 497–558.

16. Bannister H, Goldys B, Penev S, Wu W
Hugh Bannister, Beniamin Goldys, Spiridon Penev, Wei Wu: Multiperiod mean-standard-deviation time consistent portfolio selection, Automatica, 73 (2016), 15–26. MR3552055

17. Goldys B, Wu W
Ben Goldys and Wei Wu: Dynamic programming principle for stochastic control problems driven by general Lévy noise, Stochastic Analysis and Applications, 34 (2016), no. 6, 1083–1093.

18. Goldys B, Peszat S, Zabczyk J
Ben Goldys, Szymon Peszat and Jerzy Zabczyk: Gauss-Markov processes on Hilbert spaces, Transactions of the American Mathematical Society, 368 (2016), no. 1, 89–108. MR3413857

19. Goldys B, Le KN, Tran T
Beniamin Goldys, Kim-Ngan Le, Thanh Tran: A finite element approximation for the stochastic Landau–Lifshitz–Gilbert equation, Journal of Differential Equations, 260 (2016), 937–970.

20. Chojnowska-Michalik A, Goldys B
Anna Chojnowska-Michalik and Beniamin Goldys: Exponential ergodicity of semilinear equations driven by Levy processes in Hilbert spaces, Stochastic Analysis, Banach Center Publications, Polish Academy of Sciences, Warsaw, (2015), 246. ISBN 978-83-86806-28-7.

21. Brzeźniak Z, Goldys B, Peszat S, Russo F
ZdzisŁaw Brzeźniak, Ben Goldys, Szymon Peszat and Francesco Russo: Second order PDEs with Dirichlet white noise boundary conditions, Journal of Evolution Equations, 15 (2015), 1–26.

22. Brzeźniak Z, Goldys B, Le Gia QT
Z Brzeźniak, B Goldys, QT Le Gia: Random dynamical systems generated by stochastic Navier--Stokes equations on a rotating sphere, Journal of Mathematical Analysis and Applications, 426 (2015), 505–545.

23. Brzeźniak Z, Goldys B, Neklyudov M
Zdzisław Brzeźniak, Ben Goldys and Misha Neklyudov: Multidimensional stochastic Burgers equation, SIAM Journal on Mathematical Analysis, 46 (2014), no. 1, 871–889.

24. Brzeźniak Z, Goldys B, Jegaraj T
Zdzisław Brzeźniak, Beniamin Goldys, and Terence Jegaraj: Weak Solutions of a Stochastic Landau--Lifshitz--Gilbert Equation, Applied Mathematics Research eXpress, 009 (2012), 33 pages.

25. Brzeźniak Z, Goldys B, Ondreját M
Brzeźniak, Zdzisław; Goldys, Beniamin; Ondreját, Martin: Stochastic geometric partial differential equations, New trends in stochastic analysis and related topics, Interdisciplinary Mathematical Sciences, World Sci. Publ., Hackensack, NJ, (2012), 1–32. ISBN 978-981-4360-91-3; 981-4360-91-0. MR2920194

26. Ambrosio L, Da Prato G, Goldys B, Pallara D
Ambrosio, L., Da Prato, G., Goldys, B., Pallara, D.: Bounded Variation with Respect to a Log-Concave Measure, Communications in Partial Differential Equations, 37 (2012), no. 12, 2272–2290. MR3005544

27. Goldys B, Maslowski B
Goldys, Beniamin; Maslowski, Bohdan: On stochastic ergodic control in infinite dimensions, Seminar on Stochastic Analysis, Random Fields and Applications VI, Seminar on Stochastic Analysis, Random Fields and Applications VI, Robert C. Dalang, Marco Dozzi and Francesco Russo (eds.), Progr. Probab., Birkhäuser/Springer Basel AG, Basel, (2011), 95–107. ISBN 978-3-0348-0020-4 60-06. MR2857020

28. Federico S, Goldys B, Gozzi F
Federico, Salvatore; Goldys, Ben; Gozzi, Fausto: HJB equations for the optimal control of differential equations with delays and state constraints, II: Verification and optimal feedbacks, SIAM J. Control Optim, 49 (2011), no. 6, 2378–2414. MR2854622