Kim, Daehong; Kuwae, Kazuhiro On a stability of heat kernel estimates under generalized non-local Feynman-Kac perturbations for stable-like processes. (English) Zbl 1372.47055 Chen, Zhen-Qing (ed.) et al., Festschrift Masatoshi Fukushima. In Honor of Masatoshi Fukushima’s Sanju. Hackensack, NJ: World Scientific (ISBN 978-981-4596-52-7/hbk; 978-981-4596-54-1/ebook). Interdisciplinary Mathematical Sciences 17, 287-305 (2015). Reviewer: Simon Eloshvili (Tbilisi) MSC: 47D08 60G52 60J35 58J65 PDFBibTeX XMLCite \textit{D. Kim} and \textit{K. Kuwae}, Interdiscip. Math. Sci. 17, 287--305 (2015; Zbl 1372.47055) Full Text: DOI
Bogdan, Krzysztof; Sydor, Sebastian On nonlocal perturbations of integral kernels. (English) Zbl 1407.47005 Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, Będlewo, Poland, October 6–10, 2013. Cham: Springer. Springer Proc. Math. Stat. 113, 27-42 (2015). MSC: 47A55 60J35 60J75 PDFBibTeX XMLCite \textit{K. Bogdan} and \textit{S. Sydor}, Springer Proc. Math. Stat. 113, 27--42 (2015; Zbl 1407.47005) Full Text: DOI arXiv
Deng, Qi-Rong; Wang, Xiang-Yang Denker-Sato type Markov chains and Harnack inequality. (English) Zbl 1329.28011 Nonlinearity 28, No. 11, 3973-3998 (2015). MSC: 28A78 28A80 PDFBibTeX XMLCite \textit{Q.-R. Deng} and \textit{X.-Y. Wang}, Nonlinearity 28, No. 11, 3973--3998 (2015; Zbl 1329.28011) Full Text: DOI
Mytnik, Leonid; Wachtel, Vitali Multifractal analysis of superprocesses with stable branching in dimension one. (English) Zbl 1332.60122 Ann. Probab. 43, No. 5, 2763-2809 (2015). Reviewer: Weiping Li (Stillwater) MSC: 60J68 60J80 60G57 60G52 28A80 PDFBibTeX XMLCite \textit{L. Mytnik} and \textit{V. Wachtel}, Ann. Probab. 43, No. 5, 2763--2809 (2015; Zbl 1332.60122) Full Text: DOI arXiv Euclid
Lyons, Terry; Ni, Hao Expected signature of Brownian motion up to the first exit time from a bounded domain. (English) Zbl 1350.60086 Ann. Probab. 43, No. 5, 2729-2762 (2015). Reviewer: Wanyang Dai (Nanjing) MSC: 60J65 60J60 60G40 60J10 60J35 47D07 47D03 35K05 35K08 35K10 35K51 PDFBibTeX XMLCite \textit{T. Lyons} and \textit{H. Ni}, Ann. Probab. 43, No. 5, 2729--2762 (2015; Zbl 1350.60086) Full Text: DOI arXiv Euclid
Murugan, Mathav; Saloff-Coste, Laurent Transition probability estimates for long range random walks. (English) Zbl 1326.60061 New York J. Math. 21, 723-757 (2015). MSC: 60G50 60J10 60J75 PDFBibTeX XMLCite \textit{M. Murugan} and \textit{L. Saloff-Coste}, New York J. Math. 21, 723--757 (2015; Zbl 1326.60061) Full Text: arXiv EMIS
Kelleher, D.; Gupta, N.; Margenot, M.; Marsh, J.; Oakley, W.; Teplyaev, A. Gaps in the spectrum of the Laplacian on \(3N\)-gaskets. (English) Zbl 1327.81211 Commun. Pure Appl. Anal. 14, No. 6, 2509-2533 (2015). MSC: 81Q35 60J35 28A80 31C25 31E05 35K08 PDFBibTeX XMLCite \textit{D. Kelleher} et al., Commun. Pure Appl. Anal. 14, No. 6, 2509--2533 (2015; Zbl 1327.81211) Full Text: DOI arXiv
Bogus, Kamil; Małecki, Jacek Sharp estimates of transition probability density for Bessel process in half-line. (English) Zbl 1327.60152 Potential Anal. 43, No. 1, 1-22 (2015). Reviewer: Pavel Gapeev (London) MSC: 60J60 60J65 PDFBibTeX XMLCite \textit{K. Bogus} and \textit{J. Małecki}, Potential Anal. 43, No. 1, 1--22 (2015; Zbl 1327.60152) Full Text: DOI arXiv
Kaleta, Kamil; Sztonyk, Paweł Estimates of transition densities and their derivatives for jump Lévy processes. (English) Zbl 1317.60056 J. Math. Anal. Appl. 431, No. 1, 260-282 (2015). MSC: 60G51 60J75 60G52 35K08 PDFBibTeX XMLCite \textit{K. Kaleta} and \textit{P. Sztonyk}, J. Math. Anal. Appl. 431, No. 1, 260--282 (2015; Zbl 1317.60056) Full Text: DOI arXiv
Chen, Zhen-Qing; Hu, Eryan Heat kernel estimates for \(\varDelta + \varDelta^{\alpha / 2}\) under gradient perturbation. (English) Zbl 1329.60228 Stochastic Processes Appl. 125, No. 7, 2603-2642 (2015). MSC: 60H30 60J35 60H10 35K08 60G51 47G20 47D07 PDFBibTeX XMLCite \textit{Z.-Q. Chen} and \textit{E. Hu}, Stochastic Processes Appl. 125, No. 7, 2603--2642 (2015; Zbl 1329.60228) Full Text: DOI arXiv
Bony, Jean-François; Hérau, Frédéric; Michel, Laurent Tunnel effect for semiclassical random walks. (English) Zbl 1325.60067 Anal. PDE 8, No. 2, 289-332 (2015). Reviewer: Chen Mu-Fa (Beijing) MSC: 60G50 60J05 35S05 35P15 47A10 PDFBibTeX XMLCite \textit{J.-F. Bony} et al., Anal. PDE 8, No. 2, 289--332 (2015; Zbl 1325.60067) Full Text: DOI arXiv
Gerlach, Moritz; Kunze, Markus On the lattice structure of kernel operators. (English) Zbl 1327.47018 Math. Nachr. 288, No. 5-6, 584-592 (2015). Reviewer: Constantin Niculescu (Craiova) MSC: 47B32 47B65 46E40 60B10 60J35 PDFBibTeX XMLCite \textit{M. Gerlach} and \textit{M. Kunze}, Math. Nachr. 288, No. 5--6, 584--592 (2015; Zbl 1327.47018) Full Text: DOI arXiv
Chen, Zhen-Qing; Kim, Panki; Song, Renming Stability of Dirichlet heat kernel estimates for non-local operators under Feynman-Kac perturbation. (English) Zbl 1321.60149 Trans. Am. Math. Soc. 367, No. 7, 5237-5270 (2015). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 60J35 60G52 47D08 47D07 60J75 47G20 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Trans. Am. Math. Soc. 367, No. 7, 5237--5270 (2015; Zbl 1321.60149) Full Text: DOI arXiv
Wang, Jie-Ming Laplacian perturbed by non-local operators. (English) Zbl 1334.60158 Math. Z. 279, No. 1-2, 521-556 (2015). MSC: 60J35 47D07 60J75 60J65 47G20 PDFBibTeX XMLCite \textit{J.-M. Wang}, Math. Z. 279, No. 1--2, 521--556 (2015; Zbl 1334.60158) Full Text: DOI arXiv