Bendikov, Alexander; Grigor’yan, Alexander; Molchanov, Stanislav Hierarchical Schrödinger type operators: the case of locally bounded potentials. (English) Zbl 1490.34105 Karapetyants, Alexey N. (ed.) et al., Operator theory and harmonic analysis. OTHA 2020, Part II – probability-analytical models, methods and applications. Based on the international conference on modern methods, problems and applications of operator theory and harmonic analysis. Cham: Springer. Springer Proc. Math. Stat. 358, 43-89 (2021). Reviewer: Manfred Möller (Johannesburg) MSC: 34L05 34L40 46A19 PDFBibTeX XMLCite \textit{A. Bendikov} et al., Springer Proc. Math. Stat. 358, 43--89 (2021; Zbl 1490.34105) Full Text: DOI
Agbor, A.; Molchanov, S.; Vainberg, B. Global limit theorems on the convergence of multidimensional random walks to stable processes. (English) Zbl 1316.60034 Stoch. Dyn. 15, No. 3, Article ID 1550024, 14 p. (2015). MSC: 60F10 60F05 60G50 60G52 PDFBibTeX XMLCite \textit{A. Agbor} et al., Stoch. Dyn. 15, No. 3, Article ID 1550024, 14 p. (2015; Zbl 1316.60034) Full Text: DOI arXiv
Molchanov, S. A.; Yarovaya, E. B. Limit theorems for the Green function of the lattice Laplacian under large deviations of the random walk. (English) Zbl 1274.60082 Izv. Math. 76, No. 6, 1190-1217 (2012). MSC: 60F10 60J35 35A08 35B40 35K15 PDFBibTeX XMLCite \textit{S. A. Molchanov} and \textit{E. B. Yarovaya}, Izv. Math. 76, No. 6, 1190--1217 (2012; Zbl 1274.60082) Full Text: DOI
Molchanov, S.; Vainberg, B. Laplace operator in networks of thin fibers: spectrum near the threshold. (English) Zbl 1173.35088 Arous, Gerard Ben (ed.) et al., Stochastic analysing in mathematical physics. Proceedings of a satellite conference of ICM 2006, Lisbon, Portugal, September 4–8, 2006. Selected papers. Hackensack, NJ: World Scientific (ISBN 978-981-279-154-2/hbk). 69-94 (2008). Reviewer: W. D. Evans (Cardiff) MSC: 35P05 35B25 35P25 PDFBibTeX XMLCite \textit{S. Molchanov} and \textit{B. Vainberg}, in: Stochastic analysing in mathematical physics. Proceedings of a satellite conference of ICM 2006, Lisbon, Portugal, September 4--8, 2006. Selected papers. Hackensack, NJ: World Scientific. 69--94 (2008; Zbl 1173.35088) Full Text: arXiv
Gärtner, Jürgen; König, Wolfgang; Molchanov, Stanislav Geometric characterization of intermittency in the parabolic Anderson model. (English) Zbl 1126.60091 Ann. Probab. 35, No. 2, 439-499 (2007). Reviewer: Jiří Černý (Zürich) MSC: 60K40 60H25 35B40 82C44 60F10 47B80 PDFBibTeX XMLCite \textit{J. Gärtner} et al., Ann. Probab. 35, No. 2, 439--499 (2007; Zbl 1126.60091) Full Text: DOI arXiv
Cranston, M.; Molchanov, S. Quenched to annealed transition in the parabolic Anderson problem. (English) Zbl 1136.60016 Probab. Theory Relat. Fields 138, No. 1-2, 177-193 (2007). Reviewer: Wilfried Hazod (Dortmund) MSC: 60F05 60F10 60E07 60G70 PDFBibTeX XMLCite \textit{M. Cranston} and \textit{S. Molchanov}, Probab. Theory Relat. Fields 138, No. 1--2, 177--193 (2007; Zbl 1136.60016) Full Text: DOI
Molchanov, Stanislav; Vainberg, Boris Transition from a network of thin fibers to the quantum graphs: an explicitly solvable model. (English) Zbl 1317.35046 Berkolaiko, Gregory (ed.) et al., Quantum graphs and their applications. Proceedings of an AMS-IMS-SIAM joint summer research conference on quantum graphs and their applications, Snowbird, UT, USA, June 19–23, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3765-6/pbk). Contemporary Mathematics 415, 227-239 (2006). MSC: 35J25 35J05 35P25 58J37 58J50 78A50 81Q35 81Q80 PDFBibTeX XMLCite \textit{S. Molchanov} and \textit{B. Vainberg}, Contemp. Math. 415, 227--239 (2006; Zbl 1317.35046) Full Text: DOI arXiv
Molchanov, S.; Vainberg, B. On spectral asymptotics for domains with fractal boundaries. (English) Zbl 0867.58068 Commun. Math. Phys. 183, No. 1, 85-117 (1997). Reviewer: P.Gilkey (Eugene) MSC: 58J50 58J37 PDFBibTeX XMLCite \textit{S. Molchanov} and \textit{B. Vainberg}, Commun. Math. Phys. 183, No. 1, 85--117 (1997; Zbl 0867.58068) Full Text: DOI
Carmona, R. A.; Molchanov, S. A. Stationary parabolic Anderson model and intermittency. (English) Zbl 0827.60051 Probab. Theory Relat. Fields 102, No. 4, 433-453 (1995). MSC: 60H25 PDFBibTeX XMLCite \textit{R. A. Carmona} and \textit{S. A. Molchanov}, Probab. Theory Relat. Fields 102, No. 4, 433--453 (1995; Zbl 0827.60051) Full Text: DOI
Molchanov, S. A.; Surgailis, D.; Woyczynski, W. A. Hyperbolic asymptotics in Burgers’ turbulence and extremal processes. (English) Zbl 0818.60046 Commun. Math. Phys. 168, No. 1, 209-226 (1995). MSC: 60H15 35Q53 PDFBibTeX XMLCite \textit{S. A. Molchanov} et al., Commun. Math. Phys. 168, No. 1, 209--226 (1995; Zbl 0818.60046) Full Text: DOI
Albeverio, Sergio; Molchanov, Stanislav A.; Surgailis, Donatas Stratified structure of the Universe and Burgers’ equation – a probabilistic approach. (English) Zbl 0810.60058 Probab. Theory Relat. Fields 100, No. 4, 457-484 (1994). MSC: 60H25 60F05 60G70 85A40 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Probab. Theory Relat. Fields 100, No. 4, 457--484 (1994; Zbl 0810.60058) Full Text: DOI
Grenkova, L. N.; Molchanov, S. A. Asymptotic behavior of the Lifshits “tails” for random one-dimensional systems. (English. Russian original) Zbl 0714.60024 Funct. Anal. Appl. 22, No. 2, 145-147 (1988); translation from Funkts. Anal. Prilozh. 22, No. 2, 73-74 (1988). MSC: 60F10 60J45 58J65 PDFBibTeX XMLCite \textit{L. N. Grenkova} and \textit{S. A. Molchanov}, Funct. Anal. Appl. 22, No. 2, 145--147 (1988; Zbl 0714.60024); translation from Funkts. Anal. Prilozh. 22, No. 2, 73--74 (1988) Full Text: DOI
Grenkova, L. N.; Molchanov, S. A. Asymptotics of Lifshits “tails” for one-dimensional random systems. (Russian) Zbl 0661.60042 Funkts. Anal. Prilozh. 22, No. 2, 73-74 (1988). Reviewer: Sh.Ebralidze MSC: 60F10 60J45 58J65 PDFBibTeX XMLCite \textit{L. N. Grenkova} and \textit{S. A. Molchanov}, Funkts. Anal. Prilozh. 22, No. 2, 73--74 (1988; Zbl 0661.60042)