Schuh, Katharina Global contractivity for Langevin dynamics with distribution-dependent forces and uniform in time propagation of chaos. (English. French summary) Zbl 07904814 Ann. Inst. Henri Poincaré, Probab. Stat. 60, No. 2, 753-789 (2024). MSC: 60H10 60J60 82C31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Arnold, Anton; Toshpulatov, Gayrat Exponential stability and hypoelliptic regularization for the kinetic Fokker-Planck equation with confining potential. (English) Zbl 1543.35238 J. Stat. Phys. 191, No. 5, Paper No. 51, 45 p. (2024). Reviewer: Zhuan Ye (Xuzhou) MSC: 35Q84 35B40 35Q82 82C40 35H10 60J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jin, Shi; Ma, Zheng; Zhang, Tian-ai Asymptotic-preserving neural networks for multiscale Vlasov-Poisson-Fokker-Planck system in the high-field regime. (English) Zbl 07841555 J. Sci. Comput. 99, No. 3, Paper No. 61, 34 p. (2024). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 82D10 82B40 68T07 82C32 82M20 35B40 65D32 65K10 60J65 35Q83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bréhier, Charles-Edouard; Rakotonirina-Ricquebourg, Shmuel Asymptotic behavior of a class of multiple time scales stochastic kinetic equations. (English) Zbl 1537.60072 Stochastic Processes Appl. 168, Article ID 104265, 27 p. (2024). Reviewer: Pavel Stoynov (Sofia) MSC: 60H15 35R60 35Q35 60H10 82C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Zhang, Chuanzhou; Wang, Yafei; Zhang, Xueying Operator-valued martingale transform on mixed martingale Hardy spaces. (English) Zbl 07918269 Commun. Anal. Comput. 1, No. 4, 369-378 (2023). MSC: 60G42 42B30 × Cite Format Result Cite Review PDF Full Text: DOI
Monmarché, Pierre Almost sure contraction for diffusions on \(\mathbb{R}^d\). Application to generalized Langevin diffusions. (English) Zbl 1523.60131 Stochastic Processes Appl. 161, 316-349 (2023). Reviewer: Pavel Gapeev (London) MSC: 60J60 65C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klurman, Oleksiy; Shkredov, Ilya D.; Xu, Max Wenqiang On the random Chowla conjecture. (English) Zbl 1534.11100 Geom. Funct. Anal. 33, No. 3, 749-777 (2023). Reviewer: Jean-Marc Deshouillers (Bordeaux) MSC: 11K65 60F05 11N37 11N60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Weisz, Ferenc Mixed norm martingale Hardy spaces and applications in Fourier analysis. (English) Zbl 1542.42026 Aron, Richard M. (ed.) et al., Operator and norm inequalities and related topics. Cham: Birkhäuser. Trends Math., 709-739 (2022). MSC: 42B30 42B35 42B25 60G42 × Cite Format Result Cite Review PDF Full Text: DOI
Laurent, Adrien A uniformly accurate scheme for the numerical integration of penalized Langevin dynamics. (English) Zbl 1507.65030 SIAM J. Sci. Comput. 44, No. 5, A3217-A3243 (2022). MSC: 65C30 37M25 60H35 70H45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kassmann, Moritz; Kim, Kyung-Youn; Kumagai, Takashi Heat kernel bounds for nonlocal operators with singular kernels. (English. French summary) Zbl 1493.60122 J. Math. Pures Appl. (9) 164, 1-26 (2022). Reviewer: Rodica Luca (Iaşi) MSC: 60J74 35K08 47G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Liu; Pareschi, Lorenzo; Zhu, Xueyu A bi-fidelity stochastic collocation method for transport equations with diffusive scaling and multi-dimensional random inputs. (English) Zbl 07536737 J. Comput. Phys. 462, Article ID 111252, 16 p. (2022). MSC: 65Cxx 65Mxx 60Hxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jin, Shi; Zhu, Yuhua; Zuazua, Enrique The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term. (English) Zbl 1487.35367 Numer. Math. 150, No. 2, 479-519 (2022). MSC: 35Q83 35Q84 65M70 65C30 65C05 60H15 35R60 41A10 65M06 65N35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bréhier, Charles-Edouard; Rakotonirina-Ricquebourg, Shmuel On asymptotic preserving schemes for a class of stochastic differential equations in averaging and diffusion approximation regimes. (English) Zbl 1481.65019 Multiscale Model. Simul. 20, No. 1, 118-163 (2022). MSC: 65C30 60H35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abgrall, Rémi (ed.); Garavello, Mauro (ed.); Lukáčová-Medvid’ová, Mária (ed.); Trivisa, Konstantina (ed.) Hyperbolic balance laws: modeling, analysis, and numerics. Abstracts from the workshop held February 28 – March 6, 2021 (hybrid meeting). (English) Zbl 1487.00026 Oberwolfach Rep. 18, No. 1, 589-661 (2021). MSC: 00B05 00B25 35-06 60-06 35L65 35L40 35L60 35R60 65M08 60H15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Wei Some new results on relative entropy production, time reversal, and optimal control of time-inhomogeneous diffusion processes. (English) Zbl 1467.82067 J. Math. Phys. 62, No. 4, Article ID 043302, 26 p. (2021). MSC: 82C31 60J60 93E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Szarvas, Kristóf; Weisz, Ferenc Mixed martingale Hardy spaces. (English) Zbl 1462.42036 J. Geom. Anal. 31, No. 4, 3863-3888 (2021). MSC: 42B30 60G42 42B35 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pavliotis, G. A.; Stoltz, G.; Vaes, U. Scaling limits for the generalized Langevin equation. (English) Zbl 1473.35057 J. Nonlinear Sci. 31, No. 1, Paper No. 8, 58 p. (2021). MSC: 35B40 35Q84 46N30 60H10 82C31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carrillo, Jose A.; Wang, Li; Xu, Wuzhe; Yan, Ming Variational asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck system. (English) Zbl 1467.82071 Multiscale Model. Simul. 19, No. 1, 478-505 (2021). MSC: 82C40 82C31 60J65 82M30 35Q83 35Q84 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Weisz, Ferenc Dual spaces of mixed-norm martingale Hardy spaces. (English) Zbl 1479.42064 Commun. Pure Appl. Anal. 20, No. 2, 681-695 (2021). MSC: 42B35 42B30 60G42 42B25 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Monmarché, Pierre A note on Fisher information hypocoercive decay for the linear Boltzmann equation. (English) Zbl 1470.35251 Anal. Math. Phys. 11, No. 1, Paper No. 1, 11 p. (2021). Reviewer: Giovanni Mascali (Arcavacata di Rende) MSC: 35Q20 35K99 60J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Paštéka, Milan Central limit theorem and the distribution of sequences. (English) Zbl 1475.60056 Tatra Mt. Math. Publ. 77, 43-52 (2020). MSC: 60F05 11B05 × Cite Format Result Cite Review PDF Full Text: DOI
Jin, Shi; Li, Lei; Liu, Jian-Guo Random batch methods (RBM) for interacting particle systems. (English) Zbl 1453.82065 J. Comput. Phys. 400, Article ID 108877, 30 p. (2020). MSC: 82C31 82M31 65C05 60H10 × Cite Format Result Cite Review PDF Full Text: DOI
Barrios, Begoña; Montoro, Luigi; Peral, Ireneo; Soria, Fernando Neumann conditions for the higher order \(s\)-fractional Laplacian \(( - \varDelta)^s u\) with \(s > 1\). (English) Zbl 1439.35520 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 193, Article ID 111368, 34 p. (2020). MSC: 35R11 35G10 60G22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chaker, Jamil; Kassmann, Moritz Nonlocal operators with singular anisotropic kernels. (English) Zbl 1513.47092 Commun. Partial Differ. Equations 45, No. 1, 1-31 (2020). MSC: 47G20 35B65 31B05 60J76 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Geldhauser, Carina; Romito, Marco The point vortex model for the Euler equation. (English) Zbl 1484.76054 AIMS Math. 4, No. 3, 534-575 (2019). MSC: 76M23 35Q31 35Q35 60F05 60F10 82C22 76B47 × Cite Format Result Cite Review PDF Full Text: DOI
Flandoli, Franco; Saal, Martin mSQG equations in distributional spaces and point vortex approximation. (English) Zbl 1439.60060 J. Evol. Equ. 19, No. 4, 1071-1090 (2019). MSC: 60H15 35Q86 35R60 76B03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cattiaux, Patrick; Guillin, Arnaud; Monmarché, Pierre; Zhang, Chaoen Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities. (English) Zbl 1461.60065 J. Funct. Anal. 277, No. 11, Article ID 108288, 24 p. (2019). MSC: 60J60 60E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nüsken, N.; Pavliotis, G. A. Constructing sampling schemes via coupling: Markov semigroups and optimal transport. (English) Zbl 1454.60118 SIAM/ASA J. Uncertain. Quantif. 7, 324-382 (2019). MSC: 60J35 47D07 35Q62 65C05 65C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Monmarché, Pierre Generalized \(\Gamma\) calculus and application to interacting particles on a graph. (English) Zbl 1411.58013 Potential Anal. 50, No. 3, 439-466 (2019). MSC: 58J65 58J35 60J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jin, Shi; Lu, Hanqing; Pareschi, Lorenzo A high order stochastic asymptotic preserving scheme for chemotaxis kinetic models with random inputs. (English) Zbl 1471.92062 Multiscale Model. Simul. 16, No. 4, 1884-1915 (2018). Reviewer: Stefanie Sonner (Nijmegen) MSC: 92C17 65C30 60H35 35K40 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jin, Shi; Lu, Hanqing; Pareschi, Lorenzo Efficient stochastic asymptotic-preserving implicit-explicit methods for transport equations with diffusive scalings and random inputs. (English) Zbl 1391.35307 SIAM J. Sci. Comput. 40, No. 2, A671-A696 (2018). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q20 65M60 80A20 35B40 65L06 60H15 65N06 65M75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Korvenpää, Janne; Kuusi, Tuomo; Palatucci, Giampiero Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations. (English) Zbl 1386.35028 Math. Ann. 369, No. 3-4, 1443-1489 (2017). Reviewer: Nilay Duruk Mutlubas (Tuzla) MSC: 35B45 35B05 35R05 47G20 60J75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jin, Shi; Liu, Jian-Guo; Ma, Zheng Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro-macro decomposition-based asymptotic-preserving method. (English) Zbl 1375.65004 Res. Math. Sci. 4, Paper No. 15, 25 p. (2017). MSC: 65C30 60H20 60H35 45R05 × Cite Format Result Cite Review PDF Full Text: DOI
Kassmann, Moritz; Mimica, Ante Intrinsic scaling properties for nonlocal operators. (English) Zbl 1371.35316 J. Eur. Math. Soc. (JEMS) 19, No. 4, 983-1011 (2017). MSC: 35R09 35B65 47G20 60J75 31B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Korvenpää, Janne; Kuusi, Tuomo; Palatucci, Giampiero The obstacle problem for nonlinear integro-differential operators. (English) Zbl 1346.35214 Calc. Var. Partial Differ. Equ. 55, No. 3, Paper No. 63, 29 p. (2016). Reviewer: Petar Popivanov (Sofia) MSC: 35R11 35D99 35B45 35B05 35R05 47G20 60J75 35B65 35R09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bayraktar, Erhan; Munk, Alexander An \(\alpha\)-stable limit theorem under sublinear expectation. (English) Zbl 1347.60006 Bernoulli 22, No. 4, 2548-2578 (2016). Reviewer: Wiesław Dziubdziela (Miedziana Gora) MSC: 60F05 60G52 60E07 35R09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Ros-Oton, Xavier; Serra, Joaquim Regularity theory for general stable operators. (English) Zbl 1346.35220 J. Differ. Equations 260, No. 12, 8675-8715 (2016). Reviewer: Rodica Luca (Iaşi) MSC: 35R11 35B65 60G52 47G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Angiuli, Luciana; Lorenzi, Luca Compactness and invariance properties of evolution operators associated with Kolmogorov operators with unbounded coefficients. (English) Zbl 1233.47040 J. Math. Anal. Appl. 379, No. 1, 125-149 (2011). Reviewer: Enrico Priola (Torino) MSC: 47F05 47A15 35K10 60J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv