Pichór, Katarzyna; Rudnicki, Ryszard Asymptotic properties of a general model of immune status. (English) Zbl 1525.47073 SIAM J. Appl. Math. 83, No. 1, 172-193 (2023). MSC: 47D06 35Q92 60J76 92D30 47N60 PDFBibTeX XMLCite \textit{K. Pichór} and \textit{R. Rudnicki}, SIAM J. Appl. Math. 83, No. 1, 172--193 (2023; Zbl 1525.47073) Full Text: DOI arXiv
Dai, Suhang; Menoukeu-Pamen, Olivier An algorithm based on an iterative optimal stopping method for Feller processes with applications to impulse control, perturbation, and possibly zero random discount problems. (English) Zbl 1498.60160 J. Comput. Appl. Math. 421, Article ID 114864, 24 p. (2023). MSC: 60G40 65C20 60J25 47D07 60J35 PDFBibTeX XMLCite \textit{S. Dai} and \textit{O. Menoukeu-Pamen}, J. Comput. Appl. Math. 421, Article ID 114864, 24 p. (2023; Zbl 1498.60160) Full Text: DOI
Horton, Emma; Watson, Alexander R. Strong laws of large numbers for a growth-fragmentation process with bounded cell sizes. (English) Zbl 1505.60080 ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 2, 1799-1826 (2022). MSC: 60J80 37A30 47D06 35Q92 PDFBibTeX XMLCite \textit{E. Horton} and \textit{A. R. Watson}, ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 2, 1799--1826 (2022; Zbl 1505.60080) Full Text: arXiv Link
Maillard, Pascal; Paquette, Elliot Interval fragmentations with choice: equidistribution and the evolution of tagged fragments. (English) Zbl 1517.47079 Ann. Appl. Probab. 32, No. 5, 3537-3571 (2022). MSC: 47D06 60G55 60F15 PDFBibTeX XMLCite \textit{P. Maillard} and \textit{E. Paquette}, Ann. Appl. Probab. 32, No. 5, 3537--3571 (2022; Zbl 1517.47079) Full Text: DOI arXiv
Huang, Xing; Yang, Fen-Fen Comparison theorem for path dependent SDEs driven by \(G\)-Brownian motion. (English) Zbl 1503.60115 Stochastic Anal. Appl. 40, No. 5, 765-775 (2022). Reviewer: Pavel Gapeev (London) MSC: 60J65 47G20 60G52 PDFBibTeX XMLCite \textit{X. Huang} and \textit{F.-F. Yang}, Stochastic Anal. Appl. 40, No. 5, 765--775 (2022; Zbl 1503.60115) Full Text: DOI arXiv
Bonaccorsi, Stefano; Cottini, Francesca; Mugnolo, Delio Random evolution equations: well-posedness, asymptotics, and applications to graphs. (English) Zbl 1475.35428 Appl. Math. Optim. 84, No. 3, 2849-2887 (2021). MSC: 35R60 35K15 35R02 47D06 37A50 60K15 PDFBibTeX XMLCite \textit{S. Bonaccorsi} et al., Appl. Math. Optim. 84, No. 3, 2849--2887 (2021; Zbl 1475.35428) Full Text: DOI arXiv
Cavalli, Benedetta A probabilistic view on the long-time behaviour of growth-fragmentation semigroups with bounded fragmentation rates. (English) Zbl 1470.60209 ESAIM, Probab. Stat. 25, 258-285 (2021). MSC: 60J25 35Q92 47D06 47G20 60G51 PDFBibTeX XMLCite \textit{B. Cavalli}, ESAIM, Probab. Stat. 25, 258--285 (2021; Zbl 1470.60209) Full Text: DOI arXiv
Čoupek, Petr; Garrido-Atienza, María J. Bilinear equations in Hilbert space driven by paths of low regularity. (English) Zbl 1464.60065 Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 121-154 (2021). MSC: 60H15 60G22 34F05 47D06 PDFBibTeX XMLCite \textit{P. Čoupek} and \textit{M. J. Garrido-Atienza}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 121--154 (2021; Zbl 1464.60065) Full Text: DOI
Bobrowski, Adam Semigroup-theoretic approach to diffusion in thin layers separated by semi-permeable membranes. (English) Zbl 1462.35028 J. Evol. Equ. 21, No. 1, 1019-1057 (2021). MSC: 35B25 35K20 35K57 47D06 35K58 PDFBibTeX XMLCite \textit{A. Bobrowski}, J. Evol. Equ. 21, No. 1, 1019--1057 (2021; Zbl 1462.35028) Full Text: DOI arXiv
Kurasov, Pavel; Mugnolo, Delio; Wolf, Verena Analytic solutions for stochastic hybrid models of gene regulatory networks. (English) Zbl 1459.35362 J. Math. Biol. 82, No. 1-2, Paper No. 9, 30 p. (2021). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 92D10 92D20 92C37 35B09 35R60 47D06 93C20 35F46 PDFBibTeX XMLCite \textit{P. Kurasov} et al., J. Math. Biol. 82, No. 1--2, Paper No. 9, 30 p. (2021; Zbl 1459.35362) Full Text: DOI arXiv
Czapla, Dawid; Hille, Sander C.; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna 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. (English) Zbl 1472.60125 Stochastic Anal. Appl. 39, No. 2, 357-379 (2020). MSC: 60J25 60J74 60F17 47D07 PDFBibTeX XMLCite \textit{D. Czapla} et al., Stochastic Anal. Appl. 39, No. 2, 357--379 (2020; Zbl 1472.60125) Full Text: DOI arXiv
Guillin, Arnaud; Nectoux, Boris Low-lying eigenvalues and convergence to the equilibrium of some piecewise deterministic Markov processes generators in the small temperature regime. (English) Zbl 1454.35243 Ann. Henri Poincaré 21, No. 11, 3575-3608 (2020). MSC: 35P15 35P20 47F05 35Q82 35Q92 60J25 60J05 PDFBibTeX XMLCite \textit{A. Guillin} and \textit{B. Nectoux}, Ann. Henri Poincaré 21, No. 11, 3575--3608 (2020; Zbl 1454.35243) Full Text: DOI HAL
Pichór, Katarzyna; Rudnicki, Ryszard Asymptotic properties of stochastic semigroups with applications to piecewise deterministic Markov processes. (English) Zbl 1501.47074 Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, SOTA 2018, Kazimierz Dolny, Poland, September 30 – October 5, 2018. In honour of Jan Kisyński’s 85th birthday. Cham: Springer. Springer Proc. Math. Stat. 325, 329-347 (2020). MSC: 47D07 92D25 60J25 PDFBibTeX XMLCite \textit{K. Pichór} and \textit{R. Rudnicki}, Springer Proc. Math. Stat. 325, 329--347 (2020; Zbl 1501.47074) Full Text: DOI
Bobrowski, Adam Modeling diffusion in thin 2D layers. (English) Zbl 1444.35017 SIAM J. Math. Anal. 52, No. 4, 3222-3251 (2020). MSC: 35B25 35K57 35K58 47D06 47D07 PDFBibTeX XMLCite \textit{A. Bobrowski}, SIAM J. Math. Anal. 52, No. 4, 3222--3251 (2020; Zbl 1444.35017) Full Text: DOI arXiv
Gwiżdż, Piotr Applications of stochastic semigroups to queueing models. (English) Zbl 1454.47051 Ann. Math. Sil. 33, 121-142 (2019). Reviewer: Feng-Yu Wang (Swansea) MSC: 47D07 60J25 60K25 35R15 35R50 PDFBibTeX XMLCite \textit{P. Gwiżdż}, Ann. Math. Sil. 33, 121--142 (2019; Zbl 1454.47051) Full Text: DOI
Gwiżdż, Piotr; Tyran-Kamińska, Marta Densities for piecewise deterministic Markov processes with boundary. (English) Zbl 1493.47122 J. Math. Anal. Appl. 479, No. 1, 384-425 (2019). MSC: 47N30 47D06 60J25 PDFBibTeX XMLCite \textit{P. Gwiżdż} and \textit{M. Tyran-Kamińska}, J. Math. Anal. Appl. 479, No. 1, 384--425 (2019; Zbl 1493.47122) 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 PDFBibTeX XMLCite \textit{N. Nüsken} and \textit{G. A. Pavliotis}, SIAM/ASA J. Uncertain. Quantif. 7, 324--382 (2019; Zbl 1454.60118) Full Text: DOI arXiv
Bally, Vlad; Goreac, Dan; Rabiet, Victor Regularity and stability for the semigroup of jump diffusions with state-dependent intensity. (English) Zbl 1402.60104 Ann. Appl. Probab. 28, No. 5, 3028-3074 (2018). MSC: 60J75 47D07 35Q20 35R60 PDFBibTeX XMLCite \textit{V. Bally} et al., Ann. Appl. Probab. 28, No. 5, 3028--3074 (2018; Zbl 1402.60104) Full Text: DOI arXiv Euclid
Bandini, Elena Optimal control of piecewise deterministic Markov processes: a BSDE representation of the value function. (English) Zbl 1396.93131 ESAIM, Control Optim. Calc. Var. 24, No. 1, 311-354 (2018). MSC: 93E20 60H10 60J25 49L25 93C15 47D08 PDFBibTeX XMLCite \textit{E. Bandini}, ESAIM, Control Optim. Calc. Var. 24, No. 1, 311--354 (2018; Zbl 1396.93131) Full Text: DOI arXiv
Bertoin, Jean; Watson, Alexander R. A probabilistic approach to spectral analysis of growth-fragmentation equations. (English) Zbl 1384.35132 J. Funct. Anal. 274, No. 8, 2163-2204 (2018). MSC: 35Q92 47D06 45K05 47G20 60G51 35B40 35R60 92C37 PDFBibTeX XMLCite \textit{J. Bertoin} and \textit{A. R. Watson}, J. Funct. Anal. 274, No. 8, 2163--2204 (2018; Zbl 1384.35132) Full Text: DOI arXiv Link
Pichór, Katarzyna; Rudnicki, Ryszard Asymptotic decomposition of substochastic semigroups and applications. (English) Zbl 1508.47098 Stoch. Dyn. 18, No. 1, Article ID 1850001, 18 p. (2018). MSC: 47D07 37A50 93C30 60J76 92C42 PDFBibTeX XMLCite \textit{K. Pichór} and \textit{R. Rudnicki}, Stoch. Dyn. 18, No. 1, Article ID 1850001, 18 p. (2018; Zbl 1508.47098) Full Text: DOI
Pichór, Katarzyna; Rudnicki, Ryszard Stability of stochastic semigroups and applications to Stein’s neuronal model. (English) Zbl 1517.47080 Discrete Contin. Dyn. Syst., Ser. B 23, No. 1, 377-385 (2018). MSC: 47D06 60J76 92C20 PDFBibTeX XMLCite \textit{K. Pichór} and \textit{R. Rudnicki}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 1, 377--385 (2018; Zbl 1517.47080) Full Text: DOI
Kang, Junjun; Tang, Yanbin Value function regularity in option pricing problems under a pure jump model. (English) Zbl 1406.91445 Appl. Math. Optim. 76, No. 2, 303-321 (2017). MSC: 91G20 45K05 49L25 60G51 60J75 91G80 47F05 60G40 PDFBibTeX XMLCite \textit{J. Kang} and \textit{Y. Tang}, Appl. Math. Optim. 76, No. 2, 303--321 (2017; Zbl 1406.91445) Full Text: DOI
Biedrzycka, Weronika; Tyran-Kamińska, Marta Existence of invariant densities for semiflows with jumps. (English) Zbl 1339.60107 J. Math. Anal. Appl. 435, No. 1, 61-84 (2016). MSC: 60J25 47D07 37A50 PDFBibTeX XMLCite \textit{W. Biedrzycka} and \textit{M. Tyran-Kamińska}, J. Math. Anal. Appl. 435, No. 1, 61--84 (2016; Zbl 1339.60107) Full Text: DOI arXiv
Tomski, Andrzej The dynamics of enzyme inhibition controlled by piece-wise deterministic Markov process. (English) Zbl 1345.92070 Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, Bȩdlewo, Poland, October 6–10, 2013. Cham: Springer (ISBN 978-3-319-12144-4/hbk; 978-3-319-12145-1/ebook). Springer Proceedings in Mathematics & Statistics 113, 299-316 (2015). MSC: 92C45 92C40 60J25 47N60 47D07 PDFBibTeX XMLCite \textit{A. Tomski}, Springer Proc. Math. Stat. 113, 299--316 (2015; Zbl 1345.92070) Full Text: DOI
Rudnicki, Ryszard; Tyran-Kamińska, Marta Piecewise deterministic Markov processes in biological models. (English) Zbl 1330.60095 Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, Bȩdlewo, Poland, October 6–10, 2013. Cham: Springer (ISBN 978-3-319-12144-4/hbk; 978-3-319-12145-1/ebook). Springer Proceedings in Mathematics & Statistics 113, 235-255 (2015). MSC: 60J27 60J28 47D07 92C37 92C20 92C99 92D10 92D25 92D99 PDFBibTeX XMLCite \textit{R. Rudnicki} and \textit{M. Tyran-Kamińska}, Springer Proc. Math. Stat. 113, 235--255 (2015; Zbl 1330.60095) Full Text: DOI arXiv
Rudnicki, Ryszard Stochastic operators and semigroups and their applications in physics and biology. (English) Zbl 1339.47059 Banasiak, Jacek (ed.) et al., Evolutionary equations with applications in natural sciences. Lectures presented at the 2013 CIMPA-UNESCO-South Africa School, Cape Town, South Africa, July 22 – August 2, 2013. Cham: Springer (ISBN 978-3-319-11321-0/pbk; 978-3-319-11322-7/ebook). Lecture Notes in Mathematics 2126, 255-318 (2015). Reviewer: Heinrich Hering (Rockenberg) MSC: 47D07 60J35 37A30 60J25 60J60 60J75 60F99 60K40 60K99 47-02 92D25 PDFBibTeX XMLCite \textit{R. Rudnicki}, Lect. Notes Math. 2126, 255--318 (2015; Zbl 1339.47059) Full Text: DOI
Alkurdi, Taleb; Hille, Sander C.; van Gaans, Onno Persistence of stability for equilibria of map iterations in Banach spaces under small random perturbations. (English) Zbl 1317.37011 Potential Anal. 42, No. 1, 175-201 (2015). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 37A50 47D07 60J20 92D25 60G51 34F05 37N25 PDFBibTeX XMLCite \textit{T. Alkurdi} et al., Potential Anal. 42, No. 1, 175--201 (2015; Zbl 1317.37011) Full Text: DOI
Genadot, Alexandre; Thieullen, Michèle Averaging for a fully coupled piecewise-deterministic Markov process in infinite dimensions. (English) Zbl 1276.60023 Adv. Appl. Probab. 44, No. 3, 749-773 (2012). Reviewer: Martin Riedler (Wien) MSC: 60F05 60J75 92C20 92C45 47B80 PDFBibTeX XMLCite \textit{A. Genadot} and \textit{M. Thieullen}, Adv. Appl. Probab. 44, No. 3, 749--773 (2012; Zbl 1276.60023) Full Text: DOI arXiv Euclid
An, Ta Thi Kieu Combined optimal stopping and singular stochastic control. (English) Zbl 1205.49037 Stochastic Anal. Appl. 28, No. 3, 401-414 (2010). MSC: 49K45 47J20 49J40 93E20 PDFBibTeX XMLCite \textit{T. T. K. An}, Stochastic Anal. Appl. 28, No. 3, 401--414 (2010; Zbl 1205.49037) Full Text: DOI Link
Nakamori, Seiichi Design of recursive least-squares fixed-lag smoother using covariance information in linear continuous stochastic systems. (English) Zbl 1129.93051 Appl. Math. Modelling 31, No. 8, 1609-1620 (2007). MSC: 93E11 93E03 47J05 45E10 PDFBibTeX XMLCite \textit{S. Nakamori}, Appl. Math. Modelling 31, No. 8, 1609--1620 (2007; Zbl 1129.93051) Full Text: DOI
Bobrowski, Adam; Lipniacki, Tomasz; Pichór, Katarzyna; Rudnicki, Ryszard Asymptotic behavior of distributions of mRNA and protein levels in a model of stochastic gene expression. (English) Zbl 1115.92018 J. Math. Anal. Appl. 333, No. 2, 753-769 (2007). MSC: 92C40 60J70 47D07 92D10 PDFBibTeX XMLCite \textit{A. Bobrowski} et al., J. Math. Anal. Appl. 333, No. 2, 753--769 (2007; Zbl 1115.92018) Full Text: DOI
Horbacz, Katarzyna Pointwise and Renyi dimensions of an invariant measure of random dynamical systems with jumps. (English) Zbl 1107.37010 J. Stat. Phys. 122, No. 5, 1041-1059 (2006). MSC: 37A99 37H10 60G15 47A35 PDFBibTeX XMLCite \textit{K. Horbacz}, J. Stat. Phys. 122, No. 5, 1041--1059 (2006; Zbl 1107.37010) Full Text: DOI
Costa, Eduardo F.; do Val, João B. R. An algorithm for solving a perturbed algebraic Riccati equation. (English) Zbl 1293.93776 Eur. J. Control 10, No. 6, 576-580 (2004). MSC: 93E20 60J75 47N10 PDFBibTeX XMLCite \textit{E. F. Costa} and \textit{J. B. R. do Val}, Eur. J. Control 10, No. 6, 576--580 (2004; Zbl 1293.93776) Full Text: DOI
Horbacz, Katarzyna Random dynamical systems with jumps. (English) Zbl 1091.47012 J. Appl. Probab. 41, No. 3, 890-910 (2004). Reviewer: Karma Dajani (Utrecht) MSC: 47A35 37L55 PDFBibTeX XMLCite \textit{K. Horbacz}, J. Appl. Probab. 41, No. 3, 890--910 (2004; Zbl 1091.47012) Full Text: DOI
Zhang, Qing A note on a nonlinear semigroup for controlled partially observed diffusions. (English) Zbl 0648.93080 Syst. Control Lett. 10, No. 5, 365-370 (1988). Reviewer: M.Nisio MSC: 93E20 47H20 93E11 49L20 93C10 60J60 PDFBibTeX XMLCite \textit{Q. Zhang}, Syst. Control Lett. 10, No. 5, 365--370 (1988; Zbl 0648.93080) Full Text: DOI
Wang, Alan P. Scattering theory and linear state-space estimation. (English) Zbl 0611.93058 J. Math. Anal. Appl. 120, 397-415 (1986). MSC: 93E10 47A40 70G10 60H10 93C05 93E11 PDFBibTeX XMLCite \textit{A. P. Wang}, J. Math. Anal. Appl. 120, 397--415 (1986; Zbl 0611.93058) Full Text: DOI
Gzyl, Henryk Evolution semigroups and Hamiltonian flows. (English) Zbl 0606.70016 J. Math. Anal. Appl. 108, 316-332 (1985). Reviewer: M.Baake MSC: 70H05 20M20 70H15 47D03 PDFBibTeX XMLCite \textit{H. Gzyl}, J. Math. Anal. Appl. 108, 316--332 (1985; Zbl 0606.70016) Full Text: DOI
Kubrusly, C. S.; Malebranche, H. Sensors and controllers location in distributed systems - A survey. (English) Zbl 0555.93035 Automatica 21, 117-128 (1985). MSC: 93C20 93-02 93B30 42C15 93C25 93E12 47D03 93C05 93E10 93E20 PDFBibTeX XMLCite \textit{C. S. Kubrusly} and \textit{H. Malebranche}, Automatica 21, 117--128 (1985; Zbl 0555.93035) Full Text: DOI