McGraw, Carolyn; Till, Andrew; Warsa, James A new operator-split Compton scattering method. (English) Zbl 07660342 J. Comput. Phys. 478, Article ID 111980, 17 p. (2023). MSC: 65Fxx 65Zxx 60Jxx PDFBibTeX XMLCite \textit{C. McGraw} et al., J. Comput. Phys. 478, Article ID 111980, 17 p. (2023; Zbl 07660342) Full Text: DOI
Bouin, Émeric; Mouhot, Clément Quantitative fluid approximation in transport theory: a unified approach. (English) Zbl 1511.35348 Probab. Math. Phys. 3, No. 3, 491-542 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q84 35Q35 76P05 82C40 82C70 82D05 26A33 35A23 35R11 45A05 60K50 35P25 60G51 60J65 PDFBibTeX XMLCite \textit{É. Bouin} and \textit{C. Mouhot}, Probab. Math. Phys. 3, No. 3, 491--542 (2022; Zbl 1511.35348) Full Text: DOI arXiv
Tyran-Kamińska, Marta Transport equations and perturbations of boundary conditions. (English) Zbl 1472.35328 Math. Methods Appl. Sci. 43, No. 18, 10511-10531 (2020). MSC: 35Q49 35Q20 35F46 47A55 47D06 60J25 82C40 82C70 92C40 35B20 PDFBibTeX XMLCite \textit{M. Tyran-Kamińska}, Math. Methods Appl. Sci. 43, No. 18, 10511--10531 (2020; Zbl 1472.35328) Full Text: DOI arXiv
Chafaï, Djalil; Lehec, Joseph On Poincaré and logarithmic Sobolev inequalities for a class of singular Gibbs measures. (English) Zbl 1459.60047 Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 2017–2019. Volume 1. Cham: Springer. Lect. Notes Math. 2256, 219-246 (2020). Reviewer: Michael Voit (Dortmund) MSC: 60E15 60B20 PDFBibTeX XMLCite \textit{D. Chafaï} and \textit{J. Lehec}, Lect. Notes Math. 2256, 219--246 (2020; Zbl 1459.60047) Full Text: DOI arXiv
Chen, Zhen-Qing; Zhang, Xicheng \(L^p\)-maximal hypoelliptic regularity of nonlocal kinetic Fokker-Planck operators. (English. French summary) Zbl 1397.35072 J. Math. Pures Appl. (9) 116, 52-87 (2018). MSC: 35H10 42B20 60H30 35Q20 35R11 35Q84 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{X. Zhang}, J. Math. Pures Appl. (9) 116, 52--87 (2018; Zbl 1397.35072) Full Text: DOI arXiv
Yang, Xuxin; Rasila, Antti; Sottinen, Tommi Walk on spheres algorithm for Helmholtz and Yukawa equations via Duffin correspondence. (English) Zbl 1371.65131 Methodol. Comput. Appl. Probab. 19, No. 2, 589-602 (2017). MSC: 65N75 35Q40 35J05 65C05 60J05 35Q20 PDFBibTeX XMLCite \textit{X. Yang} et al., Methodol. Comput. Appl. Probab. 19, No. 2, 589--602 (2017; Zbl 1371.65131) Full Text: DOI arXiv
Brodnicka, Roksana; Gacki, Henryk Asymptotic stability of a linear Boltzmann-type equation. (English) Zbl 1321.47160 Appl. Math. 41, No. 4, 323-334 (2014). Reviewer: Ekaterina Balakina (Novosibirsk) MSC: 47N20 47D07 28A33 35B40 35Q20 45K05 60H10 PDFBibTeX XMLCite \textit{R. Brodnicka} and \textit{H. Gacki}, Appl. Math. 41, No. 4, 323--334 (2014; Zbl 1321.47160) Full Text: DOI
Hwang, Chi-Ok Solving partial differential equations via random walks: a review. (English) Zbl 1301.65003 Int. J. Evol. Equ. 7, No. 2, 165-174 (2012). MSC: 65C05 60G50 60J45 35J05 35Q20 65-02 PDFBibTeX XMLCite \textit{C.-O. Hwang}, Int. J. Evol. Equ. 7, No. 2, 165--174 (2012; Zbl 1301.65003)
Tay, B. A.; Kanki, Kazuki; Tanaka, Satoshi; Petrosky, Tomio Band structure and accumulation point in the spectrum of quantum collision operator in a one-dimensional molecular chain. (English) Zbl 1314.81128 J. Math. Phys. 52, No. 2, 023302, 19 p. (2011). MSC: 81S25 60J65 35Q20 82C31 39A70 81Q10 11Y65 PDFBibTeX XMLCite \textit{B. A. Tay} et al., J. Math. Phys. 52, No. 2, 023302, 19 p. (2011; Zbl 1314.81128) Full Text: DOI arXiv
Dechant, A.; Lutz, E.; Barkai, E.; Kessler, D. A. Solution of the Fokker-Planck equation with a logarithmic potential. (English) Zbl 1237.82032 J. Stat. Phys. 145, No. 6, 1524-1545 (2011). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C31 60J60 47D07 60E07 35Q84 PDFBibTeX XMLCite \textit{A. Dechant} et al., J. Stat. Phys. 145, No. 6, 1524--1545 (2011; Zbl 1237.82032) Full Text: DOI arXiv
Sims, Robert (ed.); Ueltschi, Daniel (ed.) Entropy and the quantum II. 2nd Arizona school of analysis with applications, University of Arizona, Tucson, AZ, USA, March 15–19, 2010. (English) Zbl 1223.82001 Contemporary Mathematics 552. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6898-0/pbk). viii, 224 p. (2011). MSC: 82-06 82B10 82C10 82C40 81Q10 35Q20 35P15 60B12 PDFBibTeX XMLCite \textit{R. Sims} (ed.) and \textit{D. Ueltschi} (ed.), Entropy and the quantum II. 2nd Arizona school of analysis with applications, University of Arizona, Tucson, AZ, USA, March 15--19, 2010. Providence, RI: American Mathematical Society (AMS) (2011; Zbl 1223.82001) Full Text: DOI
De Roeck, W.; Fröhlich, J.; Pizzo, A. Quantum Brownian motion in a simple model system. (English) Zbl 1298.82036 Commun. Math. Phys. 293, No. 2, 361-398 (2010). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82C10 81R15 81S05 60J60 60J65 PDFBibTeX XMLCite \textit{W. De Roeck} et al., Commun. Math. Phys. 293, No. 2, 361--398 (2010; Zbl 1298.82036) Full Text: DOI arXiv Link
Bossy, Mireille; Champagnat, Nicolas; Maire, Sylvain; Talay, Denis Probabilistic interpretation and random walk on spheres algorithms for the Poisson-Boltzmann equation in molecular dynamics. (English) Zbl 1204.82020 ESAIM, Math. Model. Numer. Anal. 44, No. 5, 997-1048 (2010). Reviewer: Guy Jumarie (Montréal) MSC: 82B41 35Q60 92C40 60J60 65C05 65C20 68U20 82B80 PDFBibTeX XMLCite \textit{M. Bossy} et al., ESAIM, Math. Model. Numer. Anal. 44, No. 5, 997--1048 (2010; Zbl 1204.82020) Full Text: DOI EuDML
Fournier, Nicolas Particle approximation of some Landau equations. (English) Zbl 1197.82090 Kinet. Relat. Models 2, No. 3, 451-464 (2009). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82C40 82D05 60K35 76P05 PDFBibTeX XMLCite \textit{N. Fournier}, Kinet. Relat. Models 2, No. 3, 451--464 (2009; Zbl 1197.82090) Full Text: DOI arXiv
Burmistrov, A. V. Modification of the random walk method for estimation of solution’s gradient in elliptic BVPs. (Russian. English summary) Zbl 1212.65007 Vychisl. Tekhnol. 13, Spec. Iss. 4, 20-26 (2008). MSC: 65C05 65N38 35J25 60G50 PDFBibTeX XMLCite \textit{A. V. Burmistrov}, Vychisl. Tekhnol. 13, 20--26 (2008; Zbl 1212.65007)
Del Moral, Pierre; Doucet, Arnaud Particle motions in absorbing medium with hard and soft obstacles. (English) Zbl 1071.60100 Stochastic Anal. Appl. 22, No. 5, 1175-1207 (2004). Reviewer: Daniel Boivin (Brest) MSC: 60K37 60J05 62L20 82C05 PDFBibTeX XMLCite \textit{P. Del Moral} and \textit{A. Doucet}, Stochastic Anal. Appl. 22, No. 5, 1175--1207 (2004; Zbl 1071.60100) Full Text: DOI
Golyandina, N. Central limit theorem for \((n,k)\)-particle processes solving balance equations. (English) Zbl 1040.60089 Monte Carlo Methods Appl. 9, No. 1, 1-11 (2003). MSC: 60K40 60F05 PDFBibTeX XMLCite \textit{N. Golyandina}, Monte Carlo Methods Appl. 9, No. 1, 1--11 (2003; Zbl 1040.60089) Full Text: DOI
Desvillettes, L.; Villani, C. On the trend to global equilibrium in spatially inhomogeneous entropy-dissipating systems: The linear Fokker-Planck equation. (English) Zbl 1029.82032 Commun. Pure Appl. Math. 54, No. 1, 1-42 (2001). Reviewer: Dirk Blömker (Aachen) MSC: 82C40 35Q99 46E99 47N55 60H99 60J99 82C70 PDFBibTeX XMLCite \textit{L. Desvillettes} and \textit{C. Villani}, Commun. Pure Appl. Math. 54, No. 1, 1--42 (2001; Zbl 1029.82032) Full Text: DOI
Hiai, Fumio; Petz, Dénes The semicircle law, free random variables and entropy. (English) Zbl 0955.46037 Mathematical Surveys and Monographs. 77. Providence, RI: American Mathematical Society (AMS). x, 376 p. (2000). Reviewer: Fedor Sukochev (Adelaide) MSC: 46L54 15B52 60F10 94A17 46N50 60J65 81S25 05A17 PDFBibTeX XMLCite \textit{F. Hiai} and \textit{D. Petz}, The semicircle law, free random variables and entropy. Providence, RI: American Mathematical Society (AMS) (2000; Zbl 0955.46037)
Lampis, M.; Petrina, D. Ya.; Petrina, K. D. Stochastic dynamics as a limit of Hamiltonian dynamics of hard spheres. (English) Zbl 1029.82506 Ukr. Math. J. 51, No. 5, 686-706 (1999) and Ukr. Mat. Zh. 51, No. 5, 614-635 (1999). Reviewer: A.N.Kochubei (Kyïv) MSC: 82C21 60K35 PDFBibTeX XMLCite \textit{M. Lampis} et al., Ukr. Mat. Zh. 51, No. 5, 614--635 (1999; Zbl 1029.82506) Full Text: DOI
Villani, C. Fisher information estimates for Boltzmann’s collision operator. (English) Zbl 0918.60093 J. Math. Pures Appl., IX. Sér. 77, No. 8, 821-837 (1998). MSC: 60K40 60H99 94A15 PDFBibTeX XMLCite \textit{C. Villani}, J. Math. Pures Appl. (9) 77, No. 8, 821--837 (1998; Zbl 0918.60093) Full Text: DOI
Baxter, Laurence A. Dynamical systems defined on point processes. (English) Zbl 0920.60025 J. Appl. Probab. 35, No. 3, 581-588 (1998). MSC: 60G55 28D20 37D45 PDFBibTeX XMLCite \textit{L. A. Baxter}, J. Appl. Probab. 35, No. 3, 581--588 (1998; Zbl 0920.60025) Full Text: DOI
Mikhailov, G. A. New Monte Carlo methods with estimating derivatives. (English) Zbl 0841.65003 Inverse and Ill-posed Problems Series. Utrecht: VSP. viii, 186 p. (1995). Reviewer: I.Dimov (Sofia) MSC: 65C05 65-02 35J05 85A25 76P05 35K05 80A20 80A23 65R20 65C99 60G60 PDFBibTeX XMLCite \textit{G. A. Mikhailov}, New Monte Carlo methods with estimating derivatives. Utrecht: VSP (1995; Zbl 0841.65003)
Russo, G. A Lagrangian method for collisional kinetic equations. (English) Zbl 0691.76132 Computational solution of nonlinear systems of equations, Proc. SIAM-AMS Summer Semin., Ft. Collins/CO (USA) 1988, Lect. Appl. Math. 26, 519-540 (1990). MSC: 76X05 65M99 76P05 60J60 82B40 PDFBibTeX XML
Frigerio, Alberto; Aratari, Carola Unitary dilation of a nonlinear quantum Boltzmann equation. (English) Zbl 0696.60096 Quantum probability and applications IV, Proc. Year, Rome/Italy 1987, Lect. Notes Math. 1396, 89-98 (1989). Reviewer: A.Frigerio MSC: 60K35 82B05 60H10 PDFBibTeX XML
Suchanecki, Z.; Weron, A.; Rybaczuk, M.; Weron, K. An explicit approach to the \(\Lambda\)-operator and the H-theorem in the Prigogine theory of irreversibility. (English) Zbl 0683.60085 Physica A 155, No. 2, 385-400 (1989). MSC: 60K35 82B05 PDFBibTeX XMLCite \textit{Z. Suchanecki} et al., Physica A 155, No. 2, 385--400 (1989; Zbl 0683.60085) Full Text: DOI
Röpke, Gerd Statistische Mechanik für das Nichtgleichgewicht. (Statistical mechanics for the non-equilibrium). (German) Zbl 0698.60101 Weinheim: Physik-Verlag. 226 S. DM 74.00 (1987). Reviewer: G.Ritter MSC: 60K99 82-02 82B35 PDFBibTeX XMLCite \textit{G. Röpke}, Statistische Mechanik für das Nichtgleichgewicht. (Statistical mechanics for the non-equilibrium). Weinheim: Physik-Verlag (1987; Zbl 0698.60101)
Lasota, Andrzej; Mackey, Michael C. Probabilistic properties of deterministic systems. (English) Zbl 0606.58002 Cambridge etc.: Cambridge University Press. X, 358 p. £40.00, $ 49.50 (1985). Reviewer: K.Schürger MSC: 58-02 37D45 37A99 37D15 60Hxx 37N99 PDFBibTeX XML Full Text: DOI
Lasota, A. Statistical stability of deterministic systems. (English) Zbl 0532.47027 Equadiff. 82, Proc. int. Conf., Würzburg 1982, Lect. Notes Math. 1017, 386-419 (1983). Reviewer: J.A.Goldstein MSC: 47D07 60J27 28D10 35B40 PDFBibTeX XML
Alberti, Peter M.; Uhlmann, Armin Stochasticity and partial order. Doubly stochastic maps and unitary mixing. (Licensed ed.). (English) Zbl 0491.46045 Mathematics and Its Applications, Vol. 9. Dordrecht - Boston -London: D. Reidel Publishing Company. 123 p. Dfl. 65.00; $ 28.50 (1982). MSC: 46L05 46L30 46L55 46-02 60B99 46L10 46L51 46L53 46L54 46L60 15B51 76P05 46A40 82B40 PDFBibTeX XML