Barrasso, Adrien; Russo, Francesco Martingale driven BSDEs, PDEs and other related deterministic problems. (English) Zbl 07312689 Stochastic Processes Appl. 133, 193-228 (2021). MSC: 60H30 60H10 35S05 60J35 60J60 60J75 PDF BibTeX XML Cite \textit{A. Barrasso} and \textit{F. Russo}, Stochastic Processes Appl. 133, 193--228 (2021; Zbl 07312689) Full Text: DOI
Gradinaru, Mihai; Haugomat, Tristan Locally Feller processes and martingale local problems. (English) Zbl 07312687 Stochastic Processes Appl. 133, 129-165 (2021). MSC: 60J25 60G44 60J35 60B10 60J75 47D07 PDF BibTeX XML Cite \textit{M. Gradinaru} and \textit{T. Haugomat}, Stochastic Processes Appl. 133, 129--165 (2021; Zbl 07312687) Full Text: DOI
Wang, Wenyuan; Zhou, Xiaowen A drawdown reflected spectrally negative Lévy process. (English) Zbl 07306263 J. Theor. Probab. 34, No. 1, 283-306 (2021). MSC: 60G51 60E10 60J35 PDF BibTeX XML Cite \textit{W. Wang} and \textit{X. Zhou}, J. Theor. Probab. 34, No. 1, 283--306 (2021; Zbl 07306263) Full Text: DOI
Li, Liuyan; Li, Junping Large deviation rates for supercritical branching processes with immigration. (English) Zbl 07306257 J. Theor. Probab. 34, No. 1, 162-172 (2021). MSC: 60J27 60J35 PDF BibTeX XML Cite \textit{L. Li} and \textit{J. Li}, J. Theor. Probab. 34, No. 1, 162--172 (2021; Zbl 07306257) Full Text: DOI
Mies, Fabian Estimation of state-dependent jump activity and drift for Markovian semimartingales. (English) Zbl 1446.60057 J. Stat. Plann. Inference 210, 114-140 (2021). MSC: 60J35 60J74 60G52 62G08 PDF BibTeX XML Cite \textit{F. Mies}, J. Stat. Plann. Inference 210, 114--140 (2021; Zbl 1446.60057) Full Text: DOI
Kulczycki, Tadeusz; Ryznar, Michał Semigroup properties of solutions of SDEs driven by Lévy processes with independent coordinates. (English) Zbl 07312454 Stochastic Processes Appl. 130, No. 12, 7185-7217 (2020). MSC: 60H10 60J35 PDF BibTeX XML Cite \textit{T. Kulczycki} and \textit{M. Ryznar}, Stochastic Processes Appl. 130, No. 12, 7185--7217 (2020; Zbl 07312454) Full Text: DOI
Huang, Zheng-Hai; Qi, Liqun Stationary probability vectors of higher-order two-dimensional symmetric transition probability tensors. (English) Zbl 07309378 Asia-Pac. J. Oper. Res. 37, No. 4, Article ID 2040019, 14 p. (2020). MSC: 60J35 15A69 15B51 PDF BibTeX XML Cite \textit{Z.-H. Huang} and \textit{L. Qi}, Asia-Pac. J. Oper. Res. 37, No. 4, Article ID 2040019, 14 p. (2020; Zbl 07309378) Full Text: DOI
Xie, Bin A note on random strings with values in a bounded convex domain. (English) Zbl 07304022 RIMS Kôkyûroku Bessatsu B79, 199-213 (2020). MSC: 60H15 60J35 35R60 PDF BibTeX XML Cite \textit{B. Xie}, RIMS Kôkyûroku Bessatsu B79, 199--213 (2020; Zbl 07304022) Full Text: Link
Hmissi, Mohamed; Jmailli, Cheikh Nagi On representation of excessive measures for S-subordinated Markov processes. (English) Zbl 1453.60135 Markov Process. Relat. Fields 26, No. 5, 901-914 (2020). MSC: 60J35 60J45 31D05 PDF BibTeX XML Cite \textit{M. Hmissi} and \textit{C. N. Jmailli}, Markov Process. Relat. Fields 26, No. 5, 901--914 (2020; Zbl 1453.60135) Full Text: Link
Chen, Anyue; Li, Junping; Zhang, Jing Branching collision processes with immigration. (English) Zbl 07297549 Methodol. Comput. Appl. Probab. 22, No. 3, 1063-1088 (2020). MSC: 60J27 60J35 60J80 PDF BibTeX XML Cite \textit{A. Chen} et al., Methodol. Comput. Appl. Probab. 22, No. 3, 1063--1088 (2020; Zbl 07297549) Full Text: DOI
Song, Yanhong Criteria for geometric and algebraic transience for discrete-time Markov chains. (Chinese. English summary) Zbl 07294921 Acta Math. Sin., Chin. Ser. 63, No. 2, 97-104 (2020). MSC: 60J10 60J35 PDF BibTeX XML Cite \textit{Y. Song}, Acta Math. Sin., Chin. Ser. 63, No. 2, 97--104 (2020; Zbl 07294921)
Hofmann, Holger F. Quantum causality relations and the emergence of reality from coherent superpositions. (English) Zbl 07291436 Found. Phys. 50, No. 12, 1809-1823 (2020). MSC: 81P15 81P05 60J35 81S07 PDF BibTeX XML Cite \textit{H. F. Hofmann}, Found. Phys. 50, No. 12, 1809--1823 (2020; Zbl 07291436) Full Text: DOI
Federico, Salvatore; Rosestolato, Mauro \(C_0\)-sequentially equicontinuous semigroups. (English) Zbl 07286658 Kyoto J. Math. 60, No. 3, 1131-1175 (2020). MSC: 47D06 47D07 46N30 60Jxx 60J35 PDF BibTeX XML Cite \textit{S. Federico} and \textit{M. Rosestolato}, Kyoto J. Math. 60, No. 3, 1131--1175 (2020; Zbl 07286658) Full Text: DOI Euclid
Bessadok, Khadija; Fagnola, Franco; Hachicha, Skander Classical and quantum Markov processes associated with \(q\)-Bessel operators. (English) Zbl 1453.81045 Open Syst. Inf. Dyn. 27, No. 1, Article ID 2050005, 16 p. (2020). MSC: 81S25 47D07 34B30 60J35 PDF BibTeX XML Cite \textit{K. Bessadok} et al., Open Syst. Inf. Dyn. 27, No. 1, Article ID 2050005, 16 p. (2020; Zbl 1453.81045) Full Text: DOI
Mukherjee, Chiranjib; Varadhan, S. R. S. Identification of the polaron measure in strong coupling and the Pekar variational formula. (English) Zbl 07276919 Ann. Probab. 48, No. 5, 2119-2144 (2020). MSC: 60J65 60J35 60F10 PDF BibTeX XML Cite \textit{C. Mukherjee} and \textit{S. R. S. Varadhan}, Ann. Probab. 48, No. 5, 2119--2144 (2020; Zbl 07276919) Full Text: DOI Euclid
Chen, Jinwen; Dan, Sen Conditional law of large numbers and entropy of Markov processes. (English) Zbl 07273411 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 2, Article ID 2050011, 15 p. (2020). MSC: 60J10 60F15 60J35 37A30 PDF BibTeX XML Cite \textit{J. Chen} and \textit{S. Dan}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 2, Article ID 2050011, 15 p. (2020; Zbl 07273411) Full Text: DOI
Löcherbach, E. Convergence to equilibrium for time-inhomogeneous jump diffusions with state-dependent jump intensity. (English) Zbl 07268531 J. Theor. Probab. 33, No. 4, 2280-2314 (2020). MSC: 60J55 60J35 60F05 PDF BibTeX XML Cite \textit{E. Löcherbach}, J. Theor. Probab. 33, No. 4, 2280--2314 (2020; Zbl 07268531) Full Text: DOI
Chen, Anyue Resolvent decomposition theorems and their application in denumerable Markov processes with instantaneous states. (English) Zbl 07268524 J. Theor. Probab. 33, No. 4, 2089-2118 (2020). MSC: 60J27 60J35 PDF BibTeX XML Cite \textit{A. Chen}, J. Theor. Probab. 33, No. 4, 2089--2118 (2020; Zbl 07268524) Full Text: DOI
Beznea, Lucian; Boeangiu, Ana-Maria; Lupaşcu-Stamate, Oana \(h\)-transform of Doob and nonlocal branching processes. (English) Zbl 07262176 Anal. Math. Phys. 10, No. 4, Paper No. 47, 15 p. (2020). MSC: 60J80 60J45 60J35 60J57 47D07 60J25 60J40 31C05 PDF BibTeX XML Cite \textit{L. Beznea} et al., Anal. Math. Phys. 10, No. 4, Paper No. 47, 15 p. (2020; Zbl 07262176) Full Text: DOI
Cho, Soobin; Kim, Panki; Song, Renming; Vondraček, Zoran Factorization and estimates of Dirichlet heat kernels for non-local operators with critical killings. (English. French summary) Zbl 07262155 J. Math. Pures Appl. (9) 143, 208-256 (2020). MSC: 60J35 60J50 60J75 PDF BibTeX XML Cite \textit{S. Cho} et al., J. Math. Pures Appl. (9) 143, 208--256 (2020; Zbl 07262155) Full Text: DOI
Chen, Zhen-Qing; Kumagai, Takashi; Wang, Jian Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms. (English) Zbl 07258185 Adv. Math. 374, Article ID 107269, 71 p. (2020). MSC: 60J35 35K08 60J60 60J75 31C25 60J25 60J45 PDF BibTeX XML Cite \textit{Z.-Q. Chen} et al., Adv. Math. 374, Article ID 107269, 71 p. (2020; Zbl 07258185) Full Text: DOI
Völlering, Florian Markov process representation of semigroups whose generators include negative rates. (English) Zbl 07252787 Electron. Commun. Probab. 25, Paper No. 67, 7 p. (2020). MSC: 60J27 60J35 PDF BibTeX XML Cite \textit{F. Völlering}, Electron. Commun. Probab. 25, Paper No. 67, 7 p. (2020; Zbl 07252787) Full Text: DOI Euclid
Andres, Sebastian; Deuschel, Jean-Dominique; Slowik, Martin Green kernel asymptotics for two-dimensional random walks under random conductances. (English) Zbl 07252778 Electron. Commun. Probab. 25, Paper No. 58, 14 p. (2020). MSC: 60K50 60J35 60J45 60K37 82C41 PDF BibTeX XML Cite \textit{S. Andres} et al., Electron. Commun. Probab. 25, Paper No. 58, 14 p. (2020; Zbl 07252778) Full Text: DOI Euclid
Kallsen, Jan; Krühner, Paul On uniqueness of solutions to martingale problems – counterexamples and sufficient criteria. (English) Zbl 07252727 Electron. J. Probab. 25, Paper No. 95, 33 p. (2020). MSC: 47G30 60J35 60J75 PDF BibTeX XML Cite \textit{J. Kallsen} and \textit{P. Krühner}, Electron. J. Probab. 25, Paper No. 95, 33 p. (2020; Zbl 07252727) Full Text: DOI Euclid
Beznea, Lucian; Lupaşcu-Stamate, Oana; Vrabie, Cătălin Ioan Stochastic solutions to evolution equations of non-local branching processes. (English) Zbl 07248585 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 200, Article ID 112021, 17 p. (2020). MSC: 60J80 35J60 60J68 60J45 60J35 47D07 PDF BibTeX XML Cite \textit{L. Beznea} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 200, Article ID 112021, 17 p. (2020; Zbl 07248585) Full Text: DOI
Friesen, Martin; Jin, Peng On the anisotropic stable JCIR process. (English) Zbl 07243679 ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 2, 643-674 (2020). MSC: 60H10 60J25 60J35 37A25 PDF BibTeX XML Cite \textit{M. Friesen} and \textit{P. Jin}, ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 2, 643--674 (2020; Zbl 07243679) Full Text: Link
Kolb, Martin; Krejčiřík, David Correction to: “Spectral analysis of the diffusion operator with random jumps from the boundary”. (English) Zbl 1440.60060 Math. Z. 296, No. 1-2, 883-885 (2020). MSC: 60H30 60J35 60J60 47A75 PDF BibTeX XML Cite \textit{M. Kolb} and \textit{D. Krejčiřík}, Math. Z. 296, No. 1--2, 883--885 (2020; Zbl 1440.60060) Full Text: DOI
Lempa, Jukka Some results on optimal stopping under phase-type distributed implementation delay. (English) Zbl 1453.60092 Math. Methods Oper. Res. 91, No. 3, 559-583 (2020). Reviewer: Ctirad Matonoha (Praha) MSC: 60G40 60J25 60J35 PDF BibTeX XML Cite \textit{J. Lempa}, Math. Methods Oper. Res. 91, No. 3, 559--583 (2020; Zbl 1453.60092) Full Text: DOI
Tantet, Alexis; Chekroun, Mickaël D.; Neelin, J. David; Dijkstra, Henk A. Ruelle-Pollicott resonances of stochastic systems in reduced state space. Part III: Application to the Cane-Zebiak model of the El Niño-southern oscillation. (English) Zbl 07222539 J. Stat. Phys. 179, No. 5-6, 1449-1474 (2020). MSC: 60H10 35Q84 35R60 60J35 82C31 86A08 PDF BibTeX XML Cite \textit{A. Tantet} et al., J. Stat. Phys. 179, No. 5--6, 1449--1474 (2020; Zbl 07222539) Full Text: DOI
Tantet, Alexis; Chekroun, Mickaël D.; Dijkstra, Henk A.; Neelin, J. David Ruelle-Pollicott resonances of stochastic systems in reduced state space. Part II: Stochastic Hopf bifurcation. (English) Zbl 07222538 J. Stat. Phys. 179, No. 5-6, 1403-1448 (2020). MSC: 60H10 37H20 35Q84 35R60 60J35 82C31 PDF BibTeX XML Cite \textit{A. Tantet} et al., J. Stat. Phys. 179, No. 5--6, 1403--1448 (2020; Zbl 07222538) Full Text: DOI
Chekroun, Mickaël D.; Tantet, Alexis; Dijkstra, Henk A.; Neelin, J. David Ruelle-Pollicott resonances of stochastic systems in reduced state space. Part I: Theory. (English) Zbl 07222537 J. Stat. Phys. 179, No. 5-6, 1366-1402 (2020). MSC: 60H10 35Q84 35R60 60J35 82C31 PDF BibTeX XML Cite \textit{M. D. Chekroun} et al., J. Stat. Phys. 179, No. 5--6, 1366--1402 (2020; Zbl 07222537) Full Text: DOI
Kunze, Markus C. Diffusion with nonlocal Dirichlet boundary conditions on domains. (English) Zbl 07220470 Stud. Math. 253, No. 1, 1-38 (2020). MSC: 47D07 60J35 35B40 PDF BibTeX XML Cite \textit{M. C. Kunze}, Stud. Math. 253, No. 1, 1--38 (2020; Zbl 07220470) Full Text: DOI
Taira, Kazuaki Dirichlet problems with discontinuous coefficients and Feller semigroups. (English) Zbl 07217845 Rend. Circ. Mat. Palermo (2) 69, No. 2, 287-323 (2020). MSC: 47D07 35J25 60J35 60J60 PDF BibTeX XML Cite \textit{K. Taira}, Rend. Circ. Mat. Palermo (2) 69, No. 2, 287--323 (2020; Zbl 07217845) Full Text: DOI
Murugan, Mathav On the length of chains in a metric space. (English) Zbl 1444.35087 J. Funct. Anal. 279, No. 6, Article ID 108627, 17 p. (2020). MSC: 35K08 30L10 35B65 60J35 PDF BibTeX XML Cite \textit{M. Murugan}, J. Funct. Anal. 279, No. 6, Article ID 108627, 17 p. (2020; Zbl 1444.35087) Full Text: DOI
Bhakta, Mousomi; Biswas, Anup; Ganguly, Debdip; Montoro, Luigi Integral representation of solutions using Green function for fractional Hardy equations. (English) Zbl 1448.35541 J. Differ. Equations 269, No. 7, 5573-5594 (2020). MSC: 35R11 35A08 35C15 35J08 35S05 47D06 60J35 PDF BibTeX XML Cite \textit{M. Bhakta} et al., J. Differ. Equations 269, No. 7, 5573--5594 (2020; Zbl 1448.35541) Full Text: DOI
Devraj, Adithya; Kontoyiannis, Ioannis; Meyn, Sean Geometric ergodicity in a weighted Sobolev space. (English) Zbl 07206762 Ann. Probab. 48, No. 1, 380-403 (2020). MSC: 60J05 60J35 37A30 47A35 47H20 PDF BibTeX XML Cite \textit{A. Devraj} et al., Ann. Probab. 48, No. 1, 380--403 (2020; Zbl 07206762) Full Text: DOI Euclid
Beigi, Salman; Datta, Nilanjana; Rouzé, Cambyse Quantum reverse hypercontractivity: its tensorization and application to strong converses. (English) Zbl 1440.81022 Commun. Math. Phys. 376, No. 2, 753-794 (2020). MSC: 81P45 81P17 81P47 81P68 94A17 94A40 94A15 60J35 PDF BibTeX XML Cite \textit{S. Beigi} et al., Commun. Math. Phys. 376, No. 2, 753--794 (2020; Zbl 1440.81022) Full Text: DOI
Kühn, Franziska Existence of (Markovian) solutions to martingale problems associated with Lévy-type operators. (English) Zbl 1448.60162 Electron. J. Probab. 25, Paper No. 16, 26 p. (2020). Reviewer: Ze-Chun Hu (Chengdu) MSC: 60J35 60J25 60H10 60J76 45K05 35S05 60G51 PDF BibTeX XML Cite \textit{F. Kühn}, Electron. J. Probab. 25, Paper No. 16, 26 p. (2020; Zbl 1448.60162) Full Text: DOI Euclid
Bae, Joohak; Kim, Panki On estimates of transition density for subordinate Brownian motions with Gaussian components in \(C^{1,1}\)-open sets. (English) Zbl 1434.60204 Potential Anal. 52, No. 4, 661-687 (2020). MSC: 60J35 60J50 60J76 47G20 PDF BibTeX XML Cite \textit{J. Bae} and \textit{P. Kim}, Potential Anal. 52, No. 4, 661--687 (2020; Zbl 1434.60204) Full Text: DOI
Cho, Soobin; Kim, Panki Estimates on the tail probabilities of subordinators and applications to general time fractional equations. (English) Zbl 07203592 Stochastic Processes Appl. 130, No. 7, 4392-4443 (2020). MSC: 60G52 60J25 60J55 60J35 60J75 PDF BibTeX XML Cite \textit{S. Cho} and \textit{P. Kim}, Stochastic Processes Appl. 130, No. 7, 4392--4443 (2020; Zbl 07203592) Full Text: DOI
Guo, Xiaoxia; Guo, Zhiming A Markov-switching predator-prey model with Allee effect for preys. (English) Zbl 1444.34064 Int. J. Biomath. 13, No. 3, Article ID 2050018, 28 p. (2020). MSC: 34C60 92D25 34D05 34F05 60J35 34D20 PDF BibTeX XML Cite \textit{X. Guo} and \textit{Z. Guo}, Int. J. Biomath. 13, No. 3, Article ID 2050018, 28 p. (2020; Zbl 1444.34064) Full Text: DOI
Mena, Ramsés H.; Palma, Freddy Continuous-time Markov processes, orthogonal polynomials and Lancaster probabilities. (English) Zbl 1434.60196 ESAIM, Probab. Stat. 24, 100-112 (2020). MSC: 60J25 60J35 33C45 PDF BibTeX XML Cite \textit{R. H. Mena} and \textit{F. Palma}, ESAIM, Probab. Stat. 24, 100--112 (2020; Zbl 1434.60196) Full Text: DOI
Kaspar, David C.; Rezakhanlou, Fraydoun Kinetic statistics of scalar conservation laws with piecewise-deterministic Markov process data. (English) Zbl 1437.35578 Arch. Ration. Mech. Anal. 237, No. 1, 259-298 (2020). MSC: 35Q35 76L05 35R60 60J35 76F55 PDF BibTeX XML Cite \textit{D. C. Kaspar} and \textit{F. Rezakhanlou}, Arch. Ration. Mech. Anal. 237, No. 1, 259--298 (2020; Zbl 1437.35578) Full Text: DOI
Lanconelli, Alberto; Pagliarani, Stefano; Pascucci, Andrea Local densities for a class of degenerate diffusions. (English. French summary) Zbl 1434.60214 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 1440-1464 (2020). MSC: 60J60 60J35 35H20 PDF BibTeX XML Cite \textit{A. Lanconelli} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 1440--1464 (2020; Zbl 1434.60214) Full Text: DOI Euclid
Duchamps, Jean-Jil Trees within trees. II: Nested fragmentations. (English. French summary) Zbl 07199895 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 1203-1229 (2020). MSC: 60G09 60G57 60J25 60J35 60J76 92D15 PDF BibTeX XML Cite \textit{J.-J. Duchamps}, Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 1203--1229 (2020; Zbl 07199895) Full Text: DOI Euclid
Chen, Zhen-Qing; Wang, Jie-Ming Erratum to: “Perturbation by non-local operators”. (English) Zbl 1434.60205 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 1, 760-763 (2020). MSC: 60J35 47G20 60J76 47D07 PDF BibTeX XML Cite \textit{Z.-Q. Chen} and \textit{J.-M. Wang}, Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 1, 760--763 (2020; Zbl 1434.60205) Full Text: DOI Euclid
Ouled Said, A. Some remark on the asymptotic variance in a drift accelerated diffusion. (English) Zbl 1437.60049 Stat. Probab. Lett. 162, Article ID 108748, 4 p. (2020). MSC: 60J60 60J35 34K08 PDF BibTeX XML Cite \textit{A. Ouled Said}, Stat. Probab. Lett. 162, Article ID 108748, 4 p. (2020; Zbl 1437.60049) Full Text: DOI
Liu, Wei; Song, Renming; Xie, Longjie Gradient estimates for the fundamental solution of Lévy type operator. (English) Zbl 1434.60207 Adv. Nonlinear Anal. 9, 1453-1462 (2020). MSC: 60J35 60H15 60J76 60J45 PDF BibTeX XML Cite \textit{W. Liu} et al., Adv. Nonlinear Anal. 9, 1453--1462 (2020; Zbl 1434.60207) Full Text: DOI
El Machkouri, Mohamed; Jakubowski, Adam; Volný, Dalibor Stable limits for Markov chains via the principle of conditioning. (English) Zbl 1434.60070 Stochastic Processes Appl. 130, No. 4, 1853-1878 (2020). MSC: 60F05 60F17 60E07 60J05 60J35 PDF BibTeX XML Cite \textit{M. El Machkouri} et al., Stochastic Processes Appl. 130, No. 4, 1853--1878 (2020; Zbl 1434.60070) Full Text: DOI
Grzywny, T.; Jakubowski, T.; Żurek, G. Green function for gradient perturbation of unimodal Lévy processes in the real line. (English) Zbl 07179217 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1223-1251 (2020). MSC: 47A55 60J75 47G20 60J35 60J50 PDF BibTeX XML Cite \textit{T. Grzywny} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1223--1251 (2020; Zbl 07179217) Full Text: DOI
Bogdan, Krzysztof; Sztonyk, Paweł; Knopova, Victoria Heat kernel of anisotropic nonlocal operators. (English) Zbl 1440.35352 Doc. Math. 25, 1-54 (2020). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 35S10 47D03 60J35 PDF BibTeX XML Cite \textit{K. Bogdan} et al., Doc. Math. 25, 1--54 (2020; Zbl 1440.35352) Full Text: DOI
Grzywny, Tomasz; Kim, Kyung-Youn; Kim, Panki Estimates of Dirichlet heat kernel for symmetric Markov processes. (English) Zbl 07157640 Stochastic Processes Appl. 130, No. 1, 431-470 (2020). MSC: 31B25 60J50 60J75 60J35 PDF BibTeX XML Cite \textit{T. Grzywny} et al., Stochastic Processes Appl. 130, No. 1, 431--470 (2020; Zbl 07157640) Full Text: DOI arXiv
Martirosyan, D.; Nersesyan, V. Multiplicative ergodic theorem for a non-irreducible random dynamical system. (English) Zbl 1436.37007 J. Differ. Equations 268, No. 7, 3564-3598 (2020). Reviewer: Cheng He (Beijing) MSC: 37A30 37H15 60B12 60F10 60J35 47D08 PDF BibTeX XML Cite \textit{D. Martirosyan} and \textit{V. Nersesyan}, J. Differ. Equations 268, No. 7, 3564--3598 (2020; Zbl 1436.37007) Full Text: DOI
Grigor’yan, Alexander Analysis and stochastic processes on metric measure spaces. (English) Zbl 07219040 Baake, Michael (ed.) et al., Spectral structures and topological methods in mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-197-2/hbk; 978-3-03719-697-7/ebook). EMS Series of Congress Reports, 55-73 (2019). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J35 60J35 35K08 35P15 47D07 PDF BibTeX XML Cite \textit{A. Grigor'yan}, in: Spectral structures and topological methods in mathematics. Zürich: European Mathematical Society (EMS). 55--73 (2019; Zbl 07219040) Full Text: DOI
Černý, Jiří Concentration of the clock process normalisation for the metropolis dynamics of the REM. (English) Zbl 1446.82069 Gayrard, Véronique (ed.) et al., Statistical mechanics of classical and disordered systems. Proceedings of the international conference “Advances in statistical mechanics”, CIRM, Luminy, France, August 28–31, 2018. Cham: Springer. Springer Proc. Math. Stat. 293, 95-110 (2019). MSC: 82C44 82D30 60K37 82M60 60J22 60J35 65C40 PDF BibTeX XML Cite \textit{J. Černý}, Springer Proc. Math. Stat. 293, 95--110 (2019; Zbl 1446.82069) Full Text: DOI
Redig, Frank; Sau, Federico Stochastic duality and eigenfunctions. (English) Zbl 1439.60071 Giacomin, Giambattista (ed.) et al., Stochastic dynamics out of equilibrium. Lecture notes from the IHP trimester, Institut Henri Poincaré (IHP), Paris, France, April – July, 2017. Cham: Springer. Springer Proc. Math. Stat. 282, 621-649 (2019). MSC: 60J25 82C22 60J35 PDF BibTeX XML Cite \textit{F. Redig} and \textit{F. Sau}, Springer Proc. Math. Stat. 282, 621--649 (2019; Zbl 1439.60071) Full Text: DOI
Olszewski, Mariusz Estimates of the transition densities for the reflected Brownian motion on simple nested fractals. (English) Zbl 1434.60208 Probab. Math. Stat. 39, No. 2, 423-440 (2019). MSC: 60J35 28A80 60J25 60J65 PDF BibTeX XML Cite \textit{M. Olszewski}, Probab. Math. Stat. 39, No. 2, 423--440 (2019; Zbl 1434.60208) Full Text: DOI
Deng, Chang-Song; Schilling, René L. Exact asymptotic formulas for the heat kernels of space and time-fractional equations. (English) Zbl 1434.60206 Fract. Calc. Appl. Anal. 22, No. 4, 968-989 (2019). MSC: 60J35 60G51 60K99 35R11 35K08 PDF BibTeX XML Cite \textit{C.-S. Deng} and \textit{R. L. Schilling}, Fract. Calc. Appl. Anal. 22, No. 4, 968--989 (2019; Zbl 1434.60206) Full Text: DOI
Cheng, Li-Juan; Zhang, Shao-Qin Weak Poincaré inequalities for convolution probabilities measures. (English) Zbl 1436.60026 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22, No. 3, Article ID 1950019, 20 p. (2019). MSC: 60E15 60J10 60J35 PDF BibTeX XML Cite \textit{L.-J. Cheng} and \textit{S.-Q. Zhang}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22, No. 3, Article ID 1950019, 20 p. (2019; Zbl 1436.60026) Full Text: DOI
Yuquan, Xie Total probability of two-parameter generalized transition function. (English) Zbl 1441.60058 Math. Methods Appl. Sci. 42, No. 18, 7314-7319 (2019). MSC: 60J25 60J35 PDF BibTeX XML Cite \textit{X. Yuquan}, Math. Methods Appl. Sci. 42, No. 18, 7314--7319 (2019; Zbl 1441.60058) Full Text: DOI
Grzywny, Tomasz; Ryznar, Michał; Trojan, Bartosz Asymptotic behaviour and estimates of slowly varying convolution semigroups. (English) Zbl 1448.60161 Int. Math. Res. Not. 2019, No. 23, 7193-7258 (2019). MSC: 60J35 47D06 60G51 PDF BibTeX XML Cite \textit{T. Grzywny} et al., Int. Math. Res. Not. 2019, No. 23, 7193--7258 (2019; Zbl 1448.60161) Full Text: DOI
Yarovaya, E. Operator equations of branching random walks. (English) Zbl 1428.60126 Methodol. Comput. Appl. Probab. 21, No. 3, 1007-1021 (2019). MSC: 60J80 60J35 62G32 PDF BibTeX XML Cite \textit{E. Yarovaya}, Methodol. Comput. Appl. Probab. 21, No. 3, 1007--1021 (2019; Zbl 1428.60126) Full Text: DOI arXiv
Patie, Pierre; Savov, Mladen; Zhao, Yixuan Intertwining, excursion theory and Krein theory of strings for non-self-adjoint Markov semigroups. (English) Zbl 1451.60088 Ann. Probab. 47, No. 5, 3231-3277 (2019). MSC: 60J35 37A30 47D07 60G18 PDF BibTeX XML Cite \textit{P. Patie} et al., Ann. Probab. 47, No. 5, 3231--3277 (2019; Zbl 1451.60088) Full Text: DOI Euclid arXiv
Bae, Joohak; Kang, Jaehoon; Kim, Panki; Lee, Jaehun Heat kernel estimates for symmetric jump processes with mixed polynomial growths. (English) Zbl 1448.60160 Ann. Probab. 47, No. 5, 2830-2868 (2019). MSC: 60J35 60J76 60F99 PDF BibTeX XML Cite \textit{J. Bae} et al., Ann. Probab. 47, No. 5, 2830--2868 (2019; Zbl 1448.60160) Full Text: DOI Euclid arXiv
Ducatez, Raphael A forward-backward random process for the spectrum of 1D Anderson operators. (English) Zbl 1451.60096 Electron. Commun. Probab. 24, Paper No. 69, 13 p. (2019). MSC: 60J65 60J35 60F05 60G50 60G52 15B52 PDF BibTeX XML Cite \textit{R. Ducatez}, Electron. Commun. Probab. 24, Paper No. 69, 13 p. (2019; Zbl 1451.60096) Full Text: DOI Euclid
Mijatović, Aleksandar; Vogrinc, Jure Asymptotic variance for random walk Metropolis chains in high dimensions: logarithmic growth via the Poisson equation. (English) Zbl 1427.60146 Adv. Appl. Probab. 51, No. 4, 994-1026 (2019). MSC: 60J05 60J22 60J35 60F05 60F10 PDF BibTeX XML Cite \textit{A. Mijatović} and \textit{J. Vogrinc}, Adv. Appl. Probab. 51, No. 4, 994--1026 (2019; Zbl 1427.60146) Full Text: DOI arXiv
Kolokoltsov, Vassili N. The probabilistic point of view on the generalized fractional partial differential equations. (English) Zbl 07115448 Fract. Calc. Appl. Anal. 22, No. 3, 543-600 (2019). MSC: 34A08 35S05 35S11 35S15 60J25 60J35 60J50 60J75 PDF BibTeX XML Cite \textit{V. N. Kolokoltsov}, Fract. Calc. Appl. Anal. 22, No. 3, 543--600 (2019; Zbl 07115448) Full Text: DOI
Shiozawa, Yuichi; Wang, Jian Long-time heat kernel estimates and upper rate functions of Brownian motion type for symmetric jump processes. (English) Zbl 1428.62405 Bernoulli 25, No. 4B, 3796-3831 (2019). MSC: 60J76 60J35 PDF BibTeX XML Cite \textit{Y. Shiozawa} and \textit{J. Wang}, Bernoulli 25, No. 4B, 3796--3831 (2019; Zbl 1428.62405) Full Text: DOI Euclid
Dembo, Amir; Huang, Ruojun; Zheng, Tianyi Random walks among time increasing conductances: heat kernel estimates. (English) Zbl 1422.60130 Probab. Theory Relat. Fields 175, No. 1-2, 397-445 (2019). MSC: 60J35 60J05 60J25 60J45 PDF BibTeX XML Cite \textit{A. Dembo} et al., Probab. Theory Relat. Fields 175, No. 1--2, 397--445 (2019; Zbl 1422.60130) Full Text: DOI arXiv
Cerrai, Sandra; Lunardi, Alessandra Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension. (English) Zbl 1422.35183 J. Differ. Equations 267, No. 12, 7462-7482 (2019). MSC: 35R15 47D07 60J35 PDF BibTeX XML Cite \textit{S. Cerrai} and \textit{A. Lunardi}, J. Differ. Equations 267, No. 12, 7462--7482 (2019; Zbl 1422.35183) Full Text: DOI arXiv
Pal, Soumik Exponentially concave functions and high dimensional stochastic portfolio theory. (English) Zbl 1422.91665 Stochastic Processes Appl. 129, No. 9, 3116-3128 (2019). MSC: 91G10 60J60 60J70 60J35 PDF BibTeX XML Cite \textit{S. Pal}, Stochastic Processes Appl. 129, No. 9, 3116--3128 (2019; Zbl 1422.91665) Full Text: DOI arXiv
Croydon, D. A.; Hambly, B. M.; Kumagai, T. Heat kernel estimates for FIN processes associated with resistance forms. (English) Zbl 1422.60129 Stochastic Processes Appl. 129, No. 9, 2991-3017 (2019). MSC: 60J35 28A80 60J25 60K37 PDF BibTeX XML Cite \textit{D. A. Croydon} et al., Stochastic Processes Appl. 129, No. 9, 2991--3017 (2019; Zbl 1422.60129) Full Text: DOI
Meerschaert, Mark M.; Toaldo, Bruno Relaxation patterns and semi-Markov dynamics. (English) Zbl 1422.60154 Stochastic Processes Appl. 129, No. 8, 2850-2879 (2019). MSC: 60K15 60J35 34L10 PDF BibTeX XML Cite \textit{M. M. Meerschaert} and \textit{B. Toaldo}, Stochastic Processes Appl. 129, No. 8, 2850--2879 (2019; Zbl 1422.60154) Full Text: DOI
Kühn, Franziska; Schilling, René L. Strong convergence of the Euler-Maruyama approximation for a class of Lévy-driven SDEs. (English) Zbl 1422.60097 Stochastic Processes Appl. 129, No. 8, 2654-2680 (2019). MSC: 60H10 60G51 60J35 60J75 PDF BibTeX XML Cite \textit{F. Kühn} and \textit{R. L. Schilling}, Stochastic Processes Appl. 129, No. 8, 2654--2680 (2019; Zbl 1422.60097) Full Text: DOI
Kulik, Alexei Approximation in law of locally \(\alpha \)-stable Lévy-type processes by non-linear regressions. (English) Zbl 07107390 Electron. J. Probab. 24, Paper No. 83, 45 p. (2019). MSC: 60J35 60J75 35S05 35S10 47G30 PDF BibTeX XML Cite \textit{A. Kulik}, Electron. J. Probab. 24, Paper No. 83, 45 p. (2019; Zbl 07107390) Full Text: DOI Euclid
Grzywny, Tomasz; Szczypkowski, Karol Heat kernels of non-symmetric Lévy-type operators. (English) Zbl 07103051 J. Differ. Equations 267, No. 10, 6004-6064 (2019). MSC: 60J35 47G20 60J75 47D03 PDF BibTeX XML Cite \textit{T. Grzywny} and \textit{K. Szczypkowski}, J. Differ. Equations 267, No. 10, 6004--6064 (2019; Zbl 07103051) Full Text: DOI arXiv
Huang, Ruojun On random walk on growing graphs. (English. French summary) Zbl 07097346 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 1149-1162 (2019). MSC: 60J10 60J35 60K37 PDF BibTeX XML Cite \textit{R. Huang}, Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 1149--1162 (2019; Zbl 07097346) Full Text: DOI Euclid arXiv
Beznea, Lucian; Cîmpean, Iulian; Röckner, Michael A new approach to the existence of invariant measures for Markovian semigroups. (English. French summary) Zbl 1421.37010 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 977-1000 (2019). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 37C40 37A30 47A35 37L40 60J35 60J25 31C25 82B10 28D15 PDF BibTeX XML Cite \textit{L. Beznea} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 977--1000 (2019; Zbl 1421.37010) Full Text: DOI Euclid
Barrasso, Adrien; Russo, Francesco Path-dependent martingale problems and additive functionals. (English) Zbl 1418.60092 Stoch. Dyn. 19, No. 4, Article ID 1950027, 39 p. (2019). MSC: 60H30 60H10 35S05 60J35 60J75 PDF BibTeX XML Cite \textit{A. Barrasso} and \textit{F. Russo}, Stoch. Dyn. 19, No. 4, Article ID 1950027, 39 p. (2019; Zbl 1418.60092) Full Text: DOI
Nüsken, N.; Pavliotis, G. A. Constructing sampling schemes via coupling: Markov semigroups and optimal transport. (English) Zbl 07091912 SIAM/ASA J. Uncertain. Quantif. 7, 324-382 (2019). MSC: 60J35 47D07 35Q62 65C05 65C35 PDF BibTeX XML Cite \textit{N. Nüsken} and \textit{G. A. Pavliotis}, SIAM/ASA J. Uncertain. Quantif. 7, 324--382 (2019; Zbl 07091912) Full Text: DOI
Tu, Eddie On association and other forms of positive dependence for Feller processes. (English) Zbl 1415.60022 J. Appl. Probab. 56, No. 2, 624-646 (2019). MSC: 60E07 60E15 60J25 60J35 60J75 PDF BibTeX XML Cite \textit{E. Tu}, J. Appl. Probab. 56, No. 2, 624--646 (2019; Zbl 1415.60022) Full Text: DOI
Li, Bo; Vu, Nhat Linh; Zhou, Xiaowen Exit problems for general draw-down times of spectrally negative Lévy processes. (English) Zbl 1415.60048 J. Appl. Probab. 56, No. 2, 441-457 (2019). MSC: 60G51 60E10 60J35 PDF BibTeX XML Cite \textit{B. Li} et al., J. Appl. Probab. 56, No. 2, 441--457 (2019; Zbl 1415.60048) Full Text: DOI arXiv
Kolkovska, Ekaterina T.; López-Mimbela, José Alfredo Survival of some measure-valued Markov branching processes. (English) Zbl 07076059 Stoch. Models 35, No. 2, 221-233 (2019). MSC: 60J68 60J80 60J35 47D07 PDF BibTeX XML Cite \textit{E. T. Kolkovska} and \textit{J. A. López-Mimbela}, Stoch. Models 35, No. 2, 221--233 (2019; Zbl 07076059) Full Text: DOI
Kim, Kyung-Youn; Kim, Panki Erratum to: “Two-sided estimates for the transition densities of symmetric Markov processes dominated by stable-like processes in \(C^{1, \eta}\) open sets”. (English) Zbl 07074606 Stochastic Processes Appl. 129, No. 6, 2228-2230 (2019). MSC: 60J75 60G52 60J35 47D07 47G20 PDF BibTeX XML Cite \textit{K.-Y. Kim} and \textit{P. Kim}, Stochastic Processes Appl. 129, No. 6, 2228--2230 (2019; Zbl 07074606) Full Text: DOI
Kim, Panki; Lee, Jaehun Heat kernels of non-symmetric jump processes with exponentially decaying jumping kernel. (English) Zbl 07074603 Stochastic Processes Appl. 129, No. 6, 2130-2173 (2019). MSC: 60J35 60J75 PDF BibTeX XML Cite \textit{P. Kim} and \textit{J. Lee}, Stochastic Processes Appl. 129, No. 6, 2130--2173 (2019; Zbl 07074603) Full Text: DOI arXiv
Lou, Shuwen Brownian motion with drift on spaces with varying dimension. (English) Zbl 07074602 Stochastic Processes Appl. 129, No. 6, 2086-2129 (2019). MSC: 60J60 60J35 31C25 60H30 60J45 PDF BibTeX XML Cite \textit{S. Lou}, Stochastic Processes Appl. 129, No. 6, 2086--2129 (2019; Zbl 07074602) Full Text: DOI arXiv
Kigami, Jun Time changes of the Brownian motion: Poincaré inequality, heat kernel estimate and protodistance. (English) Zbl 1448.60003 Memoirs of the American Mathematical Society 1250. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3620-9/pbk; 978-1-4704-5255-1/ebook). v, 118 p. (2019). Reviewer: Jordan M. Stoyanov (Sofia) MSC: 60-02 60J35 60J65 80A19 PDF BibTeX XML Cite \textit{J. Kigami}, Time changes of the Brownian motion: Poincaré inequality, heat kernel estimate and protodistance. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1448.60003) Full Text: DOI
Huang, Xing; Röckner, Michael; Wang, Feng-Yu Nonlinear Fokker-Planck equations for probability measures on path space and path-distribution dependent sdes. (English) Zbl 1417.60056 Discrete Contin. Dyn. Syst. 39, No. 6, 3017-3035 (2019). MSC: 60H15 35Q84 35R06 35R60 60J35 PDF BibTeX XML Cite \textit{X. Huang} et al., Discrete Contin. Dyn. Syst. 39, No. 6, 3017--3035 (2019; Zbl 1417.60056) Full Text: DOI
Kühn, Franziska Schauder estimates for equations associated with Lévy generators. (English) Zbl 07068575 Integral Equations Oper. Theory 91, No. 2, Paper No. 10, 21 p. (2019). MSC: 60G51 45K05 60J35 PDF BibTeX XML Cite \textit{F. Kühn}, Integral Equations Oper. Theory 91, No. 2, Paper No. 10, 21 p. (2019; Zbl 07068575) Full Text: DOI
Bourguin, Solesne; Campese, Simon; Leonenko, Nikolai; Taqqu, Murad S. Four moments theorems on Markov chaos. (English) Zbl 07067273 Ann. Probab. 47, No. 3, 1417-1446 (2019). MSC: 60F05 60J35 60J99 PDF BibTeX XML Cite \textit{S. Bourguin} et al., Ann. Probab. 47, No. 3, 1417--1446 (2019; Zbl 07067273) Full Text: DOI Euclid arXiv
Fahrenwaldt, M. A. Heat kernel asymptotics of the subordinator and subordinate Brownian motion. (English) Zbl 1428.35149 J. Evol. Equ. 19, No. 1, 33-70 (2019). MSC: 35K08 60J55 41A60 60G51 60J35 PDF BibTeX XML Cite \textit{M. A. Fahrenwaldt}, J. Evol. Equ. 19, No. 1, 33--70 (2019; Zbl 1428.35149) Full Text: DOI
Pagès, Gilles; Rey, Clément Recursive computation of the invariant distributions of Feller processes: revisited examples and new applications. (English) Zbl 1428.60053 Monte Carlo Methods Appl. 25, No. 1, 1-36 (2019). MSC: 60G10 60J35 65C20 60J74 PDF BibTeX XML Cite \textit{G. Pagès} and \textit{C. Rey}, Monte Carlo Methods Appl. 25, No. 1, 1--36 (2019; Zbl 1428.60053) Full Text: DOI arXiv
Bogdan, Krzysztof; Grzywny, Tomasz; Jakubowski, Tomasz; Pilarczyk, Dominika Fractional Laplacian with Hardy potential. (English) Zbl 07051869 Commun. Partial Differ. Equations 44, No. 1, 20-50 (2019). MSC: 47D08 60J35 31C05 46E35 PDF BibTeX XML Cite \textit{K. Bogdan} et al., Commun. Partial Differ. Equations 44, No. 1, 20--50 (2019; Zbl 07051869) Full Text: DOI arXiv
Kaleta, Kamil; Sztonyk, Paweł Spatial asymptotics at infinity for heat kernels of integro-differential operators. (English) Zbl 07050826 Trans. Am. Math. Soc. 371, No. 9, 6627-6663 (2019). MSC: 47D03 60J35 35A08 60G51 60E07 35S10 PDF BibTeX XML Cite \textit{K. Kaleta} and \textit{P. Sztonyk}, Trans. Am. Math. Soc. 371, No. 9, 6627--6663 (2019; Zbl 07050826) Full Text: DOI
Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V. Convergence in variation of solutions of nonlinear Fokker-Planck-Kolmogorov equations to stationary measures. (English) Zbl 1411.60010 J. Funct. Anal. 276, No. 12, 3681-3713 (2019). MSC: 60B10 47G20 60G52 35R06 35K15 60J35 PDF BibTeX XML Cite \textit{V. I. Bogachev} et al., J. Funct. Anal. 276, No. 12, 3681--3713 (2019; Zbl 1411.60010) Full Text: DOI
Kühn, Franziska Transition probabilities of Lévy-type processes: parametrix construction. (English) Zbl 1419.35079 Math. Nachr. 292, No. 2, 358-376 (2019). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 35K08 35S05 60G51 35R60 60H10 60J25 60J35 60J75 PDF BibTeX XML Cite \textit{F. Kühn}, Math. Nachr. 292, No. 2, 358--376 (2019; Zbl 1419.35079) Full Text: DOI
Kelleher, Daniel J.; Panzo, Hugo; Brzoska, Antoni; Teplyaev, Alexander Dual graphs and modified Barlow-Bass resistance estimates for repeated barycentric subdivisions. (English) Zbl 1411.60115 Discrete Contin. Dyn. Syst., Ser. S 12, No. 1, 27-42 (2019). MSC: 60J35 81Q35 28A80 31C25 31E05 35K08 PDF BibTeX XML Cite \textit{D. J. Kelleher} et al., Discrete Contin. Dyn. Syst., Ser. S 12, No. 1, 27--42 (2019; Zbl 1411.60115) Full Text: DOI
Xie, Bin Hypercontractivity for space-time white noise driven SPDEs with reflection. (English) Zbl 1439.60063 J. Differ. Equations 266, No. 9, 5254-5277 (2019). Reviewer: Martin Ondreját (Praha) MSC: 60H15 60G60 60J35 PDF BibTeX XML Cite \textit{B. Xie}, J. Differ. Equations 266, No. 9, 5254--5277 (2019; Zbl 1439.60063) Full Text: DOI
Bendikov, Alexander; Cygan, Wojciech; Woess, Wolfgang Oscillating heat kernels on ultrametric spaces. (English) Zbl 1409.60114 J. Spectr. Theory 9, No. 1, 195-226 (2019). MSC: 60J35 12H25 20K25 47S10 60J25 PDF BibTeX XML Cite \textit{A. Bendikov} et al., J. Spectr. Theory 9, No. 1, 195--226 (2019; Zbl 1409.60114) Full Text: DOI arXiv
Chen, Zhen-Qing; Lou, Shuwen Brownian motion on some spaces with varying dimension. (English) Zbl 07036337 Ann. Probab. 47, No. 1, 213-269 (2019). MSC: 60J60 60J35 31C25 60H30 60J45 PDF BibTeX XML Cite \textit{Z.-Q. Chen} and \textit{S. Lou}, Ann. Probab. 47, No. 1, 213--269 (2019; Zbl 07036337) Full Text: DOI Euclid