Nasri, R.; Simatos, F.; Simonian, A. Singular perturbation for a two-class processor-sharing queue with impatience. (English) Zbl 1519.60111 Stoch. Models 39, No. 3, 502-536 (2023). MSC: 60K25 60F10 60J20 68M20 PDFBibTeX XMLCite \textit{R. Nasri} et al., Stoch. Models 39, No. 3, 502--536 (2023; Zbl 1519.60111) Full Text: DOI arXiv
Breden, Maxime; Engel, Maximilian Computer-assisted proof of shear-induced chaos in stochastically perturbed Hopf systems. (English) Zbl 1519.34039 Ann. Appl. Probab. 33, No. 2, 1252-1294 (2023). MSC: 34C28 34F05 34F10 34D08 60H10 60J35 65G99 PDFBibTeX XMLCite \textit{M. Breden} and \textit{M. Engel}, Ann. Appl. Probab. 33, No. 2, 1252--1294 (2023; Zbl 1519.34039) Full Text: DOI arXiv
Kersting, Hans; Orvieto, Antonio; Proske, Frank; Lucchi, Aurelien Mean first exit times of Ornstein-Uhlenbeck processes in high-dimensional spaces. (English) Zbl 1509.60114 J. Phys. A, Math. Theor. 56, No. 21, Article ID 215003, 14 p. (2023). MSC: 60H10 60J65 82C31 PDFBibTeX XMLCite \textit{H. Kersting} et al., J. Phys. A, Math. Theor. 56, No. 21, Article ID 215003, 14 p. (2023; Zbl 1509.60114) Full Text: DOI arXiv
Villarroel, Javier The double barrier problem for Brownian motion with Poissonian resetting. (English) Zbl 1509.60146 J. Phys. A, Math. Theor. 55, No. 38, Article ID 384003, 21 p. (2022). MSC: 60J65 60G40 PDFBibTeX XMLCite \textit{J. Villarroel}, J. Phys. A, Math. Theor. 55, No. 38, Article ID 384003, 21 p. (2022; Zbl 1509.60146) Full Text: DOI
Bai, Chen; Li, Wen-Hao; Ge, Xian-Hui Toward the nonequilibrium thermodynamic analog of complexity and the Jarzynski identity. (English) Zbl 1522.81300 J. High Energy Phys. 2022, No. 5, Paper No. 131, 47 p. (2022). MSC: 81T28 80M60 81P68 81T35 PDFBibTeX XMLCite \textit{C. Bai} et al., J. High Energy Phys. 2022, No. 5, Paper No. 131, 47 p. (2022; Zbl 1522.81300) Full Text: DOI arXiv
Bouchet, Freddy; Reygner, Julien Path integral derivation and numerical computation of large deviation prefactors for non-equilibrium dynamics through matrix Riccati equations. (English) Zbl 1497.60029 J. Stat. Phys. 189, No. 2, Paper No. 21, 32 p. (2022). MSC: 60F10 62P35 65F45 15A24 PDFBibTeX XMLCite \textit{F. Bouchet} and \textit{J. Reygner}, J. Stat. Phys. 189, No. 2, Paper No. 21, 32 p. (2022; Zbl 1497.60029) Full Text: DOI arXiv
Chen, Feng Periodic solutions of stochastic Volterra equations. (English) Zbl 1497.60085 Electron. J. Differ. Equ. 2022, Paper No. 54, 13 p. (2022). Reviewer: Bing Tan (Chengdu) MSC: 60H15 60H05 60G22 35B10 58C30 PDFBibTeX XMLCite \textit{F. Chen}, Electron. J. Differ. Equ. 2022, Paper No. 54, 13 p. (2022; Zbl 1497.60085) Full Text: Link
Leimkuhler, Benedict; Sachs, Matthias Efficient numerical algorithms for the generalized Langevin equation. (English) Zbl 07482209 SIAM J. Sci. Comput. 44, No. 1, A364-A388 (2022). MSC: 68Q25 68R10 68U05 PDFBibTeX XMLCite \textit{B. Leimkuhler} and \textit{M. Sachs}, SIAM J. Sci. Comput. 44, No. 1, A364--A388 (2022; Zbl 07482209) Full Text: DOI arXiv
Lv, Guangying; Gao, Hongjun; Wei, Jinlong Periodic solution of stochastic process in the distributional sense. (English) Zbl 1481.35418 J. Evol. Equ. 21, No. 4, 4005-4037 (2021). MSC: 35R60 35B10 35K20 35Q84 60H15 60H40 PDFBibTeX XMLCite \textit{G. Lv} et al., J. Evol. Equ. 21, No. 4, 4005--4037 (2021; Zbl 1481.35418) Full Text: DOI arXiv
Jaworski, Piotr; Krzywda, Marcin On copulas of self-similar Ito processes. (English) Zbl 1476.62094 Depend. Model. 9, 243-266 (2021). MSC: 62H05 60G18 60H10 60E05 60J60 PDFBibTeX XMLCite \textit{P. Jaworski} and \textit{M. Krzywda}, Depend. Model. 9, 243--266 (2021; Zbl 1476.62094) Full Text: DOI
Engel, Maximilian; Kuehn, Christian A random dynamical systems perspective on isochronicity for stochastic oscillations. (English) Zbl 1483.37064 Commun. Math. Phys. 386, No. 3, 1603-1641 (2021). Reviewer: Chao Wang (Kunming) MSC: 37H30 37H10 37H05 60H10 PDFBibTeX XMLCite \textit{M. Engel} and \textit{C. Kuehn}, Commun. Math. Phys. 386, No. 3, 1603--1641 (2021; Zbl 1483.37064) Full Text: DOI arXiv
Annunziato, Mario; Borzì, Alfio A Fokker-Planck approach to the reconstruction of a cell membrane potential. (English) Zbl 1467.49029 SIAM J. Sci. Comput. 43, No. 3, B623-B649 (2021). MSC: 49N45 49M05 65K10 93E03 93E20 92C37 PDFBibTeX XMLCite \textit{M. Annunziato} and \textit{A. Borzì}, SIAM J. Sci. Comput. 43, No. 3, B623--B649 (2021; Zbl 1467.49029) Full Text: DOI
Mišur, Marin On the mixed boundary value problem for semilinear elliptic equations. (English) Zbl 1524.35248 Math. Comput. Simul. 179, 162-177 (2021). MSC: 35J61 35J25 35D30 PDFBibTeX XMLCite \textit{M. Mišur}, Math. Comput. Simul. 179, 162--177 (2021; Zbl 1524.35248) Full Text: DOI
Zonca, Lou; Holcman, David Modeling bursting in neuronal networks using facilitation-depression and afterhyperpolarization. (English) Zbl 1458.92010 Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105555, 27 p. (2021). Reviewer: Andreas Wichert (Lisboa) MSC: 92B20 PDFBibTeX XMLCite \textit{L. Zonca} and \textit{D. Holcman}, Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105555, 27 p. (2021; Zbl 1458.92010) Full Text: DOI arXiv
Grebenkov, Denis S. (ed.); Holcman, David (ed.); Metzler, Ralf (ed.) Preface: new trends in first-passage methods and applications in the life sciences and engineering. (English) Zbl 07642059 J. Phys. A, Math. Theor. 53, No. 19, Article ID 190301, 6 p. (2020). MSC: 00Bxx 81-XX 82-XX PDFBibTeX XMLCite \textit{D. S. Grebenkov} (ed.) et al., J. Phys. A, Math. Theor. 53, No. 19, Article ID 190301, 6 p. (2020; Zbl 07642059) Full Text: DOI arXiv
Texier, Christophe Fluctuations of the product of random matrices and generalized Lyapunov exponent. (English) Zbl 1460.60008 J. Stat. Phys. 181, No. 3, 990-1051 (2020). MSC: 60B20 15B52 PDFBibTeX XMLCite \textit{C. Texier}, J. Stat. Phys. 181, No. 3, 990--1051 (2020; Zbl 1460.60008) Full Text: DOI arXiv
Dai, Min; Gao, Ting; Lu, Yubin; Zheng, Yayun; Duan, Jinqiao Detecting the maximum likelihood transition path from data of stochastic dynamical systems. (English) Zbl 1457.37072 Chaos 30, No. 11, 113124, 10 p. (2020). MSC: 37H10 37M05 37M10 60H40 PDFBibTeX XMLCite \textit{M. Dai} et al., Chaos 30, No. 11, 113124, 10 p. (2020; Zbl 1457.37072) Full Text: DOI arXiv
Simatos, Florian; Simonian, Alain Mobility can drastically improve the heavy traffic performance from \(\frac{1}{1-\varrho}\) to \(\log(1/(1-\varrho))\). (English) Zbl 1461.60083 Queueing Syst. 95, No. 1-2, 1-28 (2020). MSC: 60K25 60F05 PDFBibTeX XMLCite \textit{F. Simatos} and \textit{A. Simonian}, Queueing Syst. 95, No. 1--2, 1--28 (2020; Zbl 1461.60083) Full Text: DOI arXiv
Borisov, D.; Sultanov, O. Asymptotic analysis of mean exit time for dynamical systems with a single well potential. (English) Zbl 1441.35020 J. Differ. Equations 269, No. 8, 78-116 (2020). MSC: 35B25 35C20 35J25 PDFBibTeX XMLCite \textit{D. Borisov} and \textit{O. Sultanov}, J. Differ. Equations 269, No. 8, 78--116 (2020; Zbl 1441.35020) Full Text: DOI arXiv
Vahid, Milad R.; Hanzon, Bernard; Ober, Raimund J. Fisher information matrix for single molecules with stochastic trajectories. (English) Zbl 1441.92024 SIAM J. Imaging Sci. 13, No. 1, 234-264 (2020). MSC: 92C55 92C37 62P10 60H10 PDFBibTeX XMLCite \textit{M. R. Vahid} et al., SIAM J. Imaging Sci. 13, No. 1, 234--264 (2020; Zbl 1441.92024) Full Text: DOI arXiv
Caginalp, Carey; Caginalp, Gunduz Asset price volatility and price extrema. (English) Zbl 1437.91440 Discrete Contin. Dyn. Syst., Ser. B 25, No. 5, 1935-1958 (2020). MSC: 91G30 91B42 60H10 PDFBibTeX XMLCite \textit{C. Caginalp} and \textit{G. Caginalp}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 5, 1935--1958 (2020; Zbl 1437.91440) Full Text: DOI arXiv
Giordano, Stefano Stochastic thermodynamics of holonomic systems. (English) Zbl 1516.82065 Eur. Phys. J. B, Condens. Matter Complex Syst. 92, No. 8, Paper No. 174, 19 p. (2019). MSC: 82C35 PDFBibTeX XMLCite \textit{S. Giordano}, Eur. Phys. J. B, Condens. Matter Complex Syst. 92, No. 8, Paper No. 174, 19 p. (2019; Zbl 1516.82065) Full Text: DOI
Vanvinckenroye, H.; Kougioumtzoglou, I. A.; Denoël, V. Reliability function determination of nonlinear oscillators under evolutionary stochastic excitation via a Galerkin projection technique. (English) Zbl 1439.35594 Nonlinear Dyn. 95, No. 1, 293-308 (2019). MSC: 35R60 65M60 65C30 PDFBibTeX XMLCite \textit{H. Vanvinckenroye} et al., Nonlinear Dyn. 95, No. 1, 293--308 (2019; Zbl 1439.35594) Full Text: DOI
Jaworski, Piotr On Copula-Itô processes. (English) Zbl 1439.62132 Depend. Model. 7, 322-347 (2019). MSC: 62H05 60J60 60H15 46E35 47H20 58D07 PDFBibTeX XMLCite \textit{P. Jaworski}, Depend. Model. 7, 322--347 (2019; Zbl 1439.62132) Full Text: DOI
Eberle, Andreas; Guillin, Arnaud; Zimmer, Raphael Couplings and quantitative contraction rates for Langevin dynamics. (English) Zbl 1466.60160 Ann. Probab. 47, No. 4, 1982-2010 (2019). MSC: 60J60 60H10 35Q84 35B40 PDFBibTeX XMLCite \textit{A. Eberle} et al., Ann. Probab. 47, No. 4, 1982--2010 (2019; Zbl 1466.60160) Full Text: DOI arXiv Euclid
Gesù, Giacomo Di; Lelièvre, Tony; Peutrec, Dorian Le; Nectoux, Boris Sharp asymptotics of the first exit point density. (English) Zbl 1431.60087 Ann. PDE 5, No. 1, Paper No. 5, 174 p. (2019). MSC: 60J60 58J65 60H10 60J27 PDFBibTeX XMLCite \textit{G. Di Gesù} et al., Ann. PDE 5, No. 1, Paper No. 5, 174 p. (2019; Zbl 1431.60087) Full Text: DOI arXiv
Basnayake, K.; Schuss, Z.; Holcman, D. Asymptotic formulas for extreme statistics of escape times in 1, 2 and 3-dimensions. (English) Zbl 1415.60054 J. Nonlinear Sci. 29, No. 2, 461-499 (2019); correction ibid. 30, No. 6, 3443-3444 (2020). MSC: 60G70 35K08 35J08 35J05 92C05 92C37 PDFBibTeX XMLCite \textit{K. Basnayake} et al., J. Nonlinear Sci. 29, No. 2, 461--499 (2019; Zbl 1415.60054) Full Text: DOI arXiv
Caginalp, Carey Hierarchies of \(n\)-point functions for nonlinear conservation laws with random initial data. (English) Zbl 1514.35282 Physica A 503, 727-744 (2018). MSC: 35L65 35A30 35F21 35F25 35L45 76L05 PDFBibTeX XMLCite \textit{C. Caginalp}, Physica A 503, 727--744 (2018; Zbl 1514.35282) Full Text: DOI arXiv
Mazzolo, Alain Sweetest taboo processes. (English) Zbl 1457.82380 J. Stat. Mech. Theory Exp. 2018, No. 7, Article ID 073204, 41 p. (2018). MSC: 82C70 60J65 PDFBibTeX XMLCite \textit{A. Mazzolo}, J. Stat. Mech. Theory Exp. 2018, No. 7, Article ID 073204, 41 p. (2018; Zbl 1457.82380) Full Text: DOI arXiv
Caginalp, Carey A minimization approach to conservation laws with random initial conditions and non-smooth, non-strictly convex flux. (English) Zbl 1437.35477 AIMS Math. 3, No. 1, 148-182 (2018). MSC: 35L65 35L67 35F20 35F31 60G15 PDFBibTeX XMLCite \textit{C. Caginalp}, AIMS Math. 3, No. 1, 148--182 (2018; Zbl 1437.35477) Full Text: DOI arXiv
Caginalp, Carey Minimization solutions to conservation laws with non-smooth and non-strictly convex flux. (English) Zbl 1437.35476 AIMS Math. 3, No. 1, 96-130 (2018). MSC: 35L65 35L67 35F21 35F31 PDFBibTeX XMLCite \textit{C. Caginalp}, AIMS Math. 3, No. 1, 96--130 (2018; Zbl 1437.35476) Full Text: DOI arXiv
Bressloff, Paul C.; Maclaurin, James N. Stochastic hybrid systems in cellular neuroscience. (English) Zbl 1405.92037 J. Math. Neurosci. 8, Paper No. 12, 71 p. (2018). MSC: 92C20 92C42 93E03 93C30 93C15 PDFBibTeX XMLCite \textit{P. C. Bressloff} and \textit{J. N. Maclaurin}, J. Math. Neurosci. 8, Paper No. 12, 71 p. (2018; Zbl 1405.92037) Full Text: DOI
Annunziato, Mario; Borzì, Alfio A Fokker-Planck control framework for stochastic systems. (English) Zbl 1406.93383 EMS Surv. Math. Sci. 5, No. 1-2, 65-98 (2018). MSC: 93E20 60K15 49K45 35F21 35K57 35Q84 49J20 49L20 65C20 65H10 60H25 65K15 90C39 PDFBibTeX XMLCite \textit{M. Annunziato} and \textit{A. Borzì}, EMS Surv. Math. Sci. 5, No. 1--2, 65--98 (2018; Zbl 1406.93383) Full Text: DOI
Caginalp, Carey A survey of results on conservation laws with deterministic and random initial data. (English) Zbl 1404.35101 Discrete Contin. Dyn. Syst., Ser. B 23, No. 6, 2043-2069 (2018). MSC: 35F50 35F55 35L65 PDFBibTeX XMLCite \textit{C. Caginalp}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 6, 2043--2069 (2018; Zbl 1404.35101) Full Text: DOI
Hindes, Jason; Schwartz, Ira B. Rare slips in fluctuating synchronized oscillator networks. (English) Zbl 1396.34029 Chaos 28, No. 7, 071106, 7 p. (2018). MSC: 34C60 34C15 34F05 PDFBibTeX XMLCite \textit{J. Hindes} and \textit{I. B. Schwartz}, Chaos 28, No. 7, 071106, 7 p. (2018; Zbl 1396.34029) Full Text: DOI arXiv
Bokes, Pavol; Lin, Yen Ting; Singh, Abhyudai High cooperativity in negative feedback can amplify noisy gene expression. (English) Zbl 1396.92022 Bull. Math. Biol. 80, No. 7, 1871-1899 (2018). MSC: 92C40 60K40 PDFBibTeX XMLCite \textit{P. Bokes} et al., Bull. Math. Biol. 80, No. 7, 1871--1899 (2018; Zbl 1396.92022) Full Text: DOI DOI
Gaviraghi, B.; Annunziato, M.; Borzì, A. Analysis of splitting methods for solving a partial integro-differential Fokker-Planck equation. (English) Zbl 1411.65110 Appl. Math. Comput. 294, 1-17 (2017). MSC: 65M06 35Q84 45K05 60J75 65M12 82C31 PDFBibTeX XMLCite \textit{B. Gaviraghi} et al., Appl. Math. Comput. 294, 1--17 (2017; Zbl 1411.65110) Full Text: DOI
Gaviraghi, Beatrice; Annunziato, Mario; Borzì, Alfio A Fokker-Planck based approach to control jump processes. (English) Zbl 1412.60125 Ehrhardt, Matthias (ed.) et al., Novel methods in computational finance. Cham: Springer. Math. Ind. 25, 423-439 (2017). MSC: 60J75 49M25 35Q84 93E20 PDFBibTeX XMLCite \textit{B. Gaviraghi} et al., Math. Ind. 25, 423--439 (2017; Zbl 1412.60125) Full Text: DOI
Kalyakin, L. A.; Sultanov, O. A.; Tarkhanov, N. Elliptic perturbations of dynamical systems with a proper node. (English) Zbl 1400.35018 Agranovsky, Mark L. (ed.) et al., Complex analysis and dynamical systems VII. Proceedings of the 7th international conference on complex analysis and dynamical systems (CA&DS VII), Nahariya, Israel, May 10–15, 2015. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-1-4704-2961-4/pbk; 978-1-4704-4256-9/ebook). Contemporary Mathematics 699. Israel Mathematical Conference Proceedings, 155-166 (2017). MSC: 35B25 35J25 35B07 PDFBibTeX XMLCite \textit{L. A. Kalyakin} et al., Contemp. Math. 699, 155--166 (2017; Zbl 1400.35018) Full Text: DOI Link
Eisenberg, Bob; Oriols, Xavier; Ferry, David Dynamics of current, charge and mass. (English) Zbl 1394.92012 Mol. Based Math. Biol. 5, 78-115 (2017). MSC: 92C05 92C40 76A05 35Q92 82C70 PDFBibTeX XMLCite \textit{B. Eisenberg} et al., Mol. Based Math. Biol. 5, 78--115 (2017; Zbl 1394.92012) Full Text: DOI arXiv
Holder, Andrew B.; Zuparic, Mathew L.; Kalloniatis, Alexander C. Gaussian noise and the two-network frustrated Kuramoto model. (English) Zbl 1384.34079 Physica D 341, 10-32 (2017). MSC: 34K11 34K50 34C15 34K60 PDFBibTeX XMLCite \textit{A. B. Holder} et al., Physica D 341, 10--32 (2017; Zbl 1384.34079) Full Text: DOI arXiv
Xu, Chuang Threshold dynamics of a stochastic Keizer’s model with stochastic incidence. (English) Zbl 1380.92104 J. Math. Chem. 55, No. 4, 1034-1045 (2017). MSC: 92E20 PDFBibTeX XMLCite \textit{C. Xu}, J. Math. Chem. 55, No. 4, 1034--1045 (2017; Zbl 1380.92104) Full Text: DOI
Cartailler, J.; Schuss, Z.; Holcman, D. Analysis of the Poisson-Nernst-Planck equation in a ball for modeling the voltage-current relation in neurobiological microdomains. (English) Zbl 1376.92012 Physica D 339, 39-48 (2017). MSC: 92C20 PDFBibTeX XMLCite \textit{J. Cartailler} et al., Physica D 339, 39--48 (2017; Zbl 1376.92012) Full Text: DOI
Guerrier, C.; Holcman, D. Multiscale models and stochastic simulation methods for computing rare but key binding events in cell biology. (English) Zbl 1376.92018 J. Comput. Phys. 340, 617-638 (2017). MSC: 92C37 92C20 35K57 60J70 PDFBibTeX XMLCite \textit{C. Guerrier} and \textit{D. Holcman}, J. Comput. Phys. 340, 617--638 (2017; Zbl 1376.92018) Full Text: DOI
Kuhwald, Isabelle; Pavlyukevich, Ilya Stochastic resonance with multiplicative heavy-tailed Lévy noise: optimal tuning on an algebraic time scale. (English) Zbl 1367.60069 Stoch. Dyn. 17, No. 4, Article ID 1750027, 20 p. (2017). MSC: 60H10 60G51 60J60 60J75 PDFBibTeX XMLCite \textit{I. Kuhwald} and \textit{I. Pavlyukevich}, Stoch. Dyn. 17, No. 4, Article ID 1750027, 20 p. (2017; Zbl 1367.60069) Full Text: DOI
Bokes, Pavol; Singh, Abhyudai Gene expression noise is affected differentially by feedback in burst frequency and burst size. (English) Zbl 1366.92036 J. Math. Biol. 74, No. 6, 1483-1509 (2017). MSC: 92C40 PDFBibTeX XMLCite \textit{P. Bokes} and \textit{A. Singh}, J. Math. Biol. 74, No. 6, 1483--1509 (2017; Zbl 1366.92036) Full Text: DOI arXiv
Bressloff, Paul C. Stochastic switching in biology: from genotype to phenotype. (English) Zbl 1360.92042 J. Phys. A, Math. Theor. 50, No. 13, Article ID 133001, 136 p. (2017). MSC: 92C40 92C42 60J20 PDFBibTeX XMLCite \textit{P. C. Bressloff}, J. Phys. A, Math. Theor. 50, No. 13, Article ID 133001, 136 p. (2017; Zbl 1360.92042) Full Text: DOI Link
Holcman, D.; Schuss, Z. 100 years after Smoluchowski: stochastic processes in cell biology. (English) Zbl 1360.92037 J. Phys. A, Math. Theor. 50, No. 9, Article ID 093002, 44 p. (2017). MSC: 92C37 92C17 62P10 PDFBibTeX XMLCite \textit{D. Holcman} and \textit{Z. Schuss}, J. Phys. A, Math. Theor. 50, No. 9, Article ID 093002, 44 p. (2017; Zbl 1360.92037) Full Text: DOI arXiv
Godec, Aljaž; Metzler, Ralf First passage time statistics for two-channel diffusion. (English) Zbl 1459.82230 J. Phys. A, Math. Theor. 50, No. 8, Article ID 084001, 17 p. (2017). MSC: 82C31 82C24 35Q84 82C41 82C44 44A10 60J60 82D60 PDFBibTeX XMLCite \textit{A. Godec} and \textit{R. Metzler}, J. Phys. A, Math. Theor. 50, No. 8, Article ID 084001, 17 p. (2017; Zbl 1459.82230) Full Text: DOI arXiv
Sultanov, Oskar White noise perturbation of locally stable dynamical systems. (English) Zbl 1352.93099 Stoch. Dyn. 17, No. 1, Article ID 1750002, 9 p. (2017). MSC: 93E15 34D10 60H10 PDFBibTeX XMLCite \textit{O. Sultanov}, Stoch. Dyn. 17, No. 1, Article ID 1750002, 9 p. (2017; Zbl 1352.93099) Full Text: DOI arXiv
Roy, Souvik; Annunziato, Mario; Borzì, Alfio A Fokker-Planck feedback control-constrained approach for modelling crowd motion. (English) Zbl 07503228 J. Comput. Theor. Transp. 45, No. 6, 442-458 (2016). MSC: 82-XX PDFBibTeX XMLCite \textit{S. Roy} et al., J. Comput. Theor. Transp. 45, No. 6, 442--458 (2016; Zbl 07503228) Full Text: DOI
Kalyakin, L. A. Stability of equilibrium with respect to white noise. (English. Russian original) Zbl 1375.34089 Proc. Steklov Inst. Math. 295, Suppl. 1, S68-S77 (2016); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 1, 112-121 (2015). Reviewer: Alexandra Rodkina (Kingston/Jamaica) MSC: 34F05 34D20 34D10 PDFBibTeX XMLCite \textit{L. A. Kalyakin}, Proc. Steklov Inst. Math. 295, S68--S77 (2016; Zbl 1375.34089); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 1, 112--121 (2015) Full Text: DOI
Bouchet, Freddy; Reygner, Julien Generalisation of the Eyring-Kramers transition rate formula to irreversible diffusion processes. (English) Zbl 1375.82081 Ann. Henri Poincaré 17, No. 12, 3499-3532 (2016). Reviewer: Guy Jumarie (Montréal) MSC: 82C24 60J60 60H15 60J65 PDFBibTeX XMLCite \textit{F. Bouchet} and \textit{J. Reygner}, Ann. Henri Poincaré 17, No. 12, 3499--3532 (2016; Zbl 1375.82081) Full Text: DOI arXiv
Yang, J.; Kupka, I.; Schuss, Z.; Holcman, D. Search for a small egg by spermatozoa in restricted geometries. (English) Zbl 1348.92041 J. Math. Biol. 73, No. 2, 423-446 (2016). MSC: 92C30 60H30 60H35 PDFBibTeX XMLCite \textit{J. Yang} et al., J. Math. Biol. 73, No. 2, 423--446 (2016; Zbl 1348.92041) Full Text: DOI
Li, Yao; Yi, Yingfei Systematic measures of biological networks. I: Invariant measures and entropy. (English) Zbl 1345.92064 Commun. Pure Appl. Math. 69, No. 9, 1777-1811 (2016). Reviewer: Carlo Laing (Auckland) MSC: 92C42 37N25 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Y. Yi}, Commun. Pure Appl. Math. 69, No. 9, 1777--1811 (2016; Zbl 1345.92064) Full Text: DOI arXiv
Riesinger, Christoph; Neckel, Tobias; Rupp, Florian Solving random ordinary differential equations on GPU clusters using multiple levels of parallelism. (English) Zbl 1382.65024 SIAM J. Sci. Comput. 38, No. 4, C372-C402 (2016). MSC: 65C30 65Y05 65Y10 34F05 60H25 65C05 65L06 68U20 PDFBibTeX XMLCite \textit{C. Riesinger} et al., SIAM J. Sci. Comput. 38, No. 4, C372--C402 (2016; Zbl 1382.65024) Full Text: DOI
Kamouche, Nesrine; Benaissa, Abdallah Asymptotic expansion of double Laplace-type integrals: the case of non-stationary minimum points. (English) Zbl 1356.41014 Proc. Am. Math. Soc. 144, No. 9, 3741-3756 (2016). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 53A04 PDFBibTeX XMLCite \textit{N. Kamouche} and \textit{A. Benaissa}, Proc. Am. Math. Soc. 144, No. 9, 3741--3756 (2016; Zbl 1356.41014) Full Text: DOI
Manca, Fabio; Déjardin, Pierre-Michel; Giordano, Stefano Statistical mechanics of holonomic systems as a Brownian motion on smooth manifolds. (English) Zbl 1351.82059 Ann. Phys., Berlin 528, No. 5, 381-393 (2016). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C31 58J35 60J65 58J65 49S05 49J55 60H07 70H03 70H05 35Q84 PDFBibTeX XMLCite \textit{F. Manca} et al., Ann. Phys., Berlin 528, No. 5, 381--393 (2016; Zbl 1351.82059) Full Text: DOI
Campillo, Fabien; Joannides, Marc; Larramendy-Valverde, Irène Analysis and approximation of a stochastic growth model with extinction. (English) Zbl 1339.60084 Methodol. Comput. Appl. Probab. 18, No. 2, 499-515 (2016). MSC: 60H30 60H10 60J60 60H35 65C30 65C20 35Q84 92D25 92D40 PDFBibTeX XMLCite \textit{F. Campillo} et al., Methodol. Comput. Appl. Probab. 18, No. 2, 499--515 (2016; Zbl 1339.60084) Full Text: DOI
Dao Duc, K.; Schuss, Z.; Holcman, D. Oscillatory survival probability: analytical and numerical study of a non-Poissonian exit time. (English) Zbl 1343.60121 Multiscale Model. Simul. 14, No. 2, 772-798 (2016). MSC: 60J60 60H10 34F05 35Q84 35J57 65L15 65L10 92C20 PDFBibTeX XMLCite \textit{K. Dao Duc} et al., Multiscale Model. Simul. 14, No. 2, 772--798 (2016; Zbl 1343.60121) Full Text: DOI arXiv Link
Polunchenko, Aleksey S. Exact distribution of the generalized Shiryaev-Roberts stopping time under the minimax Brownian motion setup. (English) Zbl 1338.62183 Sequential Anal. 35, No. 1, 108-143 (2016). MSC: 62L10 60G40 60J25 60J60 35K20 PDFBibTeX XMLCite \textit{A. S. Polunchenko}, Sequential Anal. 35, No. 1, 108--143 (2016; Zbl 1338.62183) Full Text: DOI arXiv
Levi, Izhak; Turkel, Eli; Givoli, Dan Time reversal for elastic wave refocusing and scatterer location recovery. (English) Zbl 1360.35273 J. Comput. Acoust. 23, No. 1, Article ID 1450013, 29 p. (2015). MSC: 35Q74 35R30 74J05 PDFBibTeX XMLCite \textit{I. Levi} et al., J. Comput. Acoust. 23, No. 1, Article ID 1450013, 29 p. (2015; Zbl 1360.35273) Full Text: DOI
Grant, John; Wilkinson, Michael Advection-diffusion equation with absorbing boundary. (English) Zbl 1360.82032 J. Stat. Phys. 160, No. 3, 622-635 (2015). MSC: 82B40 60J60 PDFBibTeX XMLCite \textit{J. Grant} and \textit{M. Wilkinson}, J. Stat. Phys. 160, No. 3, 622--635 (2015; Zbl 1360.82032) Full Text: DOI arXiv
Albeverio, Sergio; Ugolini, Stefania A Doob h-transform of the Gross-Pitaevskii Hamiltonian. (English) Zbl 1327.82062 J. Stat. Phys. 161, No. 2, 486-508 (2015). MSC: 82C31 60J60 60K35 81P20 81S20 60G40 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{S. Ugolini}, J. Stat. Phys. 161, No. 2, 486--508 (2015; Zbl 1327.82062) Full Text: DOI
Burghoff, Toralf; Pavlyukevich, Ilya Spectral analysis for a discrete metastable system driven by Lévy flights. (English) Zbl 1327.82035 J. Stat. Phys. 161, No. 1, 171-196 (2015). MSC: 82B41 60H10 60J68 34L20 PDFBibTeX XMLCite \textit{T. Burghoff} and \textit{I. Pavlyukevich}, J. Stat. Phys. 161, No. 1, 171--196 (2015; Zbl 1327.82035) Full Text: DOI arXiv
Hoze, Nathanael; Holcman, David Kinetics of aggregation with a finite number of particles and application to viral capsid assembly. (English) Zbl 1342.60169 J. Math. Biol. 70, No. 7, 1685-1705 (2015). Reviewer: Boris Granovsky (Haifa) MSC: 60K35 60J25 92C45 PDFBibTeX XMLCite \textit{N. Hoze} and \textit{D. Holcman}, J. Math. Biol. 70, No. 7, 1685--1705 (2015; Zbl 1342.60169) Full Text: DOI
Simpson, D. J. W.; Kuske, R. Stochastic perturbations of periodic orbits with sliding. (English) Zbl 1326.34090 J. Nonlinear Sci. 25, No. 4, 967-1014 (2015). MSC: 34F05 34C25 34A36 34D10 34A60 93C95 34H05 PDFBibTeX XMLCite \textit{D. J. W. Simpson} and \textit{R. Kuske}, J. Nonlinear Sci. 25, No. 4, 967--1014 (2015; Zbl 1326.34090) Full Text: DOI arXiv
Kurella, Venu; Tzou, Justin; Coombs, Daniel; Ward, Michael Asymptotic analysis of first passage time problems inspired by ecology. (English) Zbl 1319.35275 Bull. Math. Biol. 77, No. 1, 83-125 (2015). MSC: 35Q92 35B25 35J25 92D40 65M75 35C20 PDFBibTeX XMLCite \textit{V. Kurella} et al., Bull. Math. Biol. 77, No. 1, 83--125 (2015; Zbl 1319.35275) Full Text: DOI
Holcman, D.; Duc, K. Dao; Jones, A.; Byrne, H.; Burrage, K. Post-transcriptional regulation in the nucleus and cytoplasm: study of mean time to threshold (MTT) and narrow escape problem. (English) Zbl 1350.92018 J. Math. Biol. 70, No. 4, 805-828 (2015). MSC: 92C40 60J28 60J70 PDFBibTeX XMLCite \textit{D. Holcman} et al., J. Math. Biol. 70, No. 4, 805--828 (2015; Zbl 1350.92018) Full Text: DOI
Campillo, Fabien; Joannides, Marc; Larramendy-Valverde, Irène Approximation of the Fokker-Planck equation of the stochastic chemostat. (English) Zbl 07312579 Math. Comput. Simul. 99, 37-53 (2014). MSC: 60-XX 82-XX PDFBibTeX XMLCite \textit{F. Campillo} et al., Math. Comput. Simul. 99, 37--53 (2014; Zbl 07312579) Full Text: DOI arXiv
Huang, Guan-Rong; Saakian, David B.; Rozanova, Olga; Yu, Jui-Ling; Hu, Chin-Kun Exact solution of master equation with Gaussian and compound Poisson noises. (English) Zbl 1456.82771 J. Stat. Mech. Theory Exp. 2014, No. 11, Paper No. P11033, 11 p. (2014). MSC: 82C31 60J74 PDFBibTeX XMLCite \textit{G.-R. Huang} et al., J. Stat. Mech. Theory Exp. 2014, No. 11, Paper No. P11033, 11 p. (2014; Zbl 1456.82771) Full Text: DOI
Simon, Cory M.; Hepburn, Iain; Chen, Weiliang; De Schutter, Erik The role of dendritic spine morphology in the compartmentalization and delivery of surface receptors. (English) Zbl 1382.92090 J. Comput. Neurosci. 36, No. 3, 483-497 (2014). MSC: 92C20 92C40 PDFBibTeX XMLCite \textit{C. M. Simon} et al., J. Comput. Neurosci. 36, No. 3, 483--497 (2014; Zbl 1382.92090) Full Text: DOI
Hozé, Nathanaël; Holcman, David Modeling capsid kinetics assembly from the steady state distribution of multi-sizes aggregates. (English) Zbl 1331.92059 Phys. Lett., A 378, No. 5-6, 531-534 (2014). MSC: 92C45 PDFBibTeX XMLCite \textit{N. Hozé} and \textit{D. Holcman}, Phys. Lett., A 378, No. 5--6, 531--534 (2014; Zbl 1331.92059) Full Text: DOI
Holcman, D. Multiscale modeling, stochastic and asymptotic approaches for analyzing neural networks based on synaptic dynamics. (English) Zbl 1373.92028 ESAIM, Proc. Surv. 47, 36-54 (2014). MSC: 92C20 92B20 PDFBibTeX XMLCite \textit{D. Holcman}, ESAIM, Proc. Surv. 47, 36--54 (2014; Zbl 1373.92028) Full Text: DOI
Holcman, D.; Schuss, Z. Oscillatory survival probability and eigenvalues of the non-self-adjoint Fokker-Planck operator. (English) Zbl 1400.34095 Multiscale Model. Simul. 12, No. 3, 1294-1308 (2014). MSC: 34E20 34F05 35P20 60H30 60J70 82C31 PDFBibTeX XMLCite \textit{D. Holcman} and \textit{Z. Schuss}, Multiscale Model. Simul. 12, No. 3, 1294--1308 (2014; Zbl 1400.34095) Full Text: DOI arXiv
Kalyakin, L. A. Lyapunov functions in barriers for parabolic equations and in stability problems with respect to “white noise”. (English) Zbl 1330.35193 Russ. J. Math. Phys. 21, No. 4, 472-483 (2014). MSC: 35K15 35B35 60H30 35R60 PDFBibTeX XMLCite \textit{L. A. Kalyakin}, Russ. J. Math. Phys. 21, No. 4, 472--483 (2014; Zbl 1330.35193) Full Text: DOI
Jeffrey, M. R.; Simpson, D. J. W. Non-Filippov dynamics arising from the smoothing of nonsmooth systems, and its robustness to noise. (English) Zbl 1306.93024 Nonlinear Dyn. 76, No. 2, 1395-1410 (2014). MSC: 93B35 34A36 PDFBibTeX XMLCite \textit{M. R. Jeffrey} and \textit{D. J. W. Simpson}, Nonlinear Dyn. 76, No. 2, 1395--1410 (2014; Zbl 1306.93024) Full Text: DOI arXiv
Sultanov, O. A. Stability of autoresonance models subject to random perturbations for systems of nonlinear oscillation equations. (Russian, English) Zbl 1313.34155 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 1, 65-79 (2014); translation in Comput. Math. Math. Phys. 54, No. 1, 59-73 (2014). MSC: 34D20 34C11 34D10 34F05 PDFBibTeX XMLCite \textit{O. A. Sultanov}, Zh. Vychisl. Mat. Mat. Fiz. 54, No. 1, 65--79 (2014; Zbl 1313.34155); translation in Comput. Math. Math. Phys. 54, No. 1, 59--73 (2014) Full Text: DOI
Simpson, D. J. W.; Kuske, R. Stochastically perturbed sliding motion in piecewise-smooth systems. (English) Zbl 1308.34022 Discrete Contin. Dyn. Syst., Ser. B 19, No. 9, 2889-2913 (2014). MSC: 34A36 34F05 34C23 PDFBibTeX XMLCite \textit{D. J. W. Simpson} and \textit{R. Kuske}, Discrete Contin. Dyn. Syst., Ser. B 19, No. 9, 2889--2913 (2014; Zbl 1308.34022) Full Text: DOI arXiv
Simpson, David J. W. On resolving singularities of piecewise-smooth discontinuous vector fields via small perturbations. (English) Zbl 1387.34024 Discrete Contin. Dyn. Syst. 34, No. 9, 3803-3830 (2014). Reviewer: Ricardo Miranda Martins (Campinas) MSC: 34A36 34E10 34F05 PDFBibTeX XMLCite \textit{D. J. W. Simpson}, Discrete Contin. Dyn. Syst. 34, No. 9, 3803--3830 (2014; Zbl 1387.34024) Full Text: DOI arXiv
Simpson, D. J. W.; Kuske, R. The positive occupation time of Brownian motion with two-valued drift and asymptotic dynamics of sliding motion with noise. (English) Zbl 1323.60114 Stoch. Dyn. 14, No. 4, Article ID 1450010, 23 p. (2014). MSC: 60J65 60H10 35Q84 PDFBibTeX XMLCite \textit{D. J. W. Simpson} and \textit{R. Kuske}, Stoch. Dyn. 14, No. 4, Article ID 1450010, 23 p. (2014; Zbl 1323.60114) Full Text: DOI arXiv
Menz, Georg; Schlichting, André Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape. (English) Zbl 1327.60156 Ann. Probab. 42, No. 5, 1809-1884 (2014). MSC: 60J60 35P15 PDFBibTeX XMLCite \textit{G. Menz} and \textit{A. Schlichting}, Ann. Probab. 42, No. 5, 1809--1884 (2014; Zbl 1327.60156) Full Text: DOI arXiv Euclid
Newby, Jay; Chapman, Jon Metastable behavior in Markov processes with internal states. (English) Zbl 1321.60169 J. Math. Biol. 69, No. 4, 941-976 (2014). MSC: 60J75 60F10 34E20 92D20 PDFBibTeX XMLCite \textit{J. Newby} and \textit{J. Chapman}, J. Math. Biol. 69, No. 4, 941--976 (2014; Zbl 1321.60169) Full Text: DOI arXiv
Wang, Xueying; Gautam, Raju; Pinedo, Pablo J.; Allen, Linda J. S.; Ivanek, Renata A stochastic model for transmission, extinction and outbreak of Escherichia coli O157:H7 in cattle as affected by ambient temperature and cleaning practices. (English) Zbl 1302.92137 J. Math. Biol. 69, No. 2, 501-532 (2014). MSC: 92D30 60H10 60H30 PDFBibTeX XMLCite \textit{X. Wang} et al., J. Math. Biol. 69, No. 2, 501--532 (2014; Zbl 1302.92137) Full Text: DOI
Polettini, Matteo Generally covariant state-dependent diffusion. (English) Zbl 1456.82786 J. Stat. Mech. Theory Exp. 2013, No. 7, Paper No. P07005, 27 p. (2013). MSC: 82C31 60H10 81Vxx PDFBibTeX XMLCite \textit{M. Polettini}, J. Stat. Mech. Theory Exp. 2013, No. 7, Paper No. P07005, 27 p. (2013; Zbl 1456.82786) Full Text: DOI arXiv
Jaworski, Piotr; Krzywda, Marcin Coupling of Wiener processes by using copulas. (English) Zbl 1383.60034 Stat. Probab. Lett. 83, No. 9, 2027-2033 (2013). MSC: 60G18 60E05 60J60 60H15 62H05 PDFBibTeX XMLCite \textit{P. Jaworski} and \textit{M. Krzywda}, Stat. Probab. Lett. 83, No. 9, 2027--2033 (2013; Zbl 1383.60034) Full Text: DOI
Zhang, Yunxin; Ge, Hao; Qian, Hong One-dimensional birth-death process and Delbrück-Gillespie theory of mesoscopic nonlinear chemical reactions. (English) Zbl 1279.35089 Stud. Appl. Math. 129, No. 3, 328-345 (2012). MSC: 35Q92 35K57 92D25 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Stud. Appl. Math. 129, No. 3, 328--345 (2012; Zbl 1279.35089) Full Text: DOI arXiv
Schuss, Z. The narrow escape problem – a short review of recent results. (English) Zbl 1259.82083 J. Sci. Comput. 53, No. 1, 194-210 (2012). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 82C32 35J05 35J25 60J65 58J65 PDFBibTeX XMLCite \textit{Z. Schuss}, J. Sci. Comput. 53, No. 1, 194--210 (2012; Zbl 1259.82083) Full Text: DOI
Lucic, Vladimir Boundary conditions for computing densities in hybrid models via PDE methods. (English) Zbl 1259.60098 Stochastics 84, No. 5-6, 705-718 (2012). MSC: 60J70 60H15 35Q91 PDFBibTeX XMLCite \textit{V. Lucic}, Stochastics 84, No. 5--6, 705--718 (2012; Zbl 1259.60098) Full Text: DOI
Caginalp, Carey; Chen, Xinfu Analytical and numerical results for an escape problem. (English) Zbl 1253.60085 Arch. Ration. Mech. Anal. 203, No. 1, 329-342 (2012). MSC: 60J65 65C20 PDFBibTeX XMLCite \textit{C. Caginalp} and \textit{X. Chen}, Arch. Ration. Mech. Anal. 203, No. 1, 329--342 (2012; Zbl 1253.60085) Full Text: DOI
Eliazar, Iddo I.; Shlesinger, Michael F. Stochastic flow cascades. (English) Zbl 1235.82052 J. Stat. Phys. 146, No. 1, 1-24 (2012). MSC: 82C31 PDFBibTeX XMLCite \textit{I. I. Eliazar} and \textit{M. F. Shlesinger}, J. Stat. Phys. 146, No. 1, 1--24 (2012; Zbl 1235.82052) Full Text: DOI
Pavlyukevich, Ilya First exit times of solutions of stochastic differential equations driven by multiplicative Lévy noise with heavy tails. (English) Zbl 1235.60069 Stoch. Dyn. 11, No. 2-3, 495-519 (2011). Reviewer: Jordan M. Stoyanov (Newcastle upon Tyne) MSC: 60H10 60G51 60H05 PDFBibTeX XMLCite \textit{I. Pavlyukevich}, Stoch. Dyn. 11, No. 2--3, 495--519 (2011; Zbl 1235.60069) Full Text: DOI arXiv