Hou, Qi; Saloff-Coste, Laurent Time regularity for local weak solutions of the heat equation on local Dirichlet spaces. (English) Zbl 07798446 Potential Anal. 60, No. 1, 79-137 (2024). MSC: 31C25 60J46 58J35 PDFBibTeX XMLCite \textit{Q. Hou} and \textit{L. Saloff-Coste}, Potential Anal. 60, No. 1, 79--137 (2024; Zbl 07798446) Full Text: DOI arXiv
Hou, Qi; Saloff-Coste, Laurent Rough hypoellipticity for the heat equation in Dirichlet spaces. (English) Zbl 1523.31014 Math. Nachr. 296, No. 4, 1420-1450 (2023). MSC: 31C25 35K05 35B65 PDFBibTeX XMLCite \textit{Q. Hou} and \textit{L. Saloff-Coste}, Math. Nachr. 296, No. 4, 1420--1450 (2023; Zbl 1523.31014) Full Text: DOI arXiv
Grigor’yan, Alexander; Ishiwata, Satoshi; Saloff-Coste, Laurent Poincaré constant on manifolds with ends. (English) Zbl 1523.58007 Proc. Lond. Math. Soc. (3) 126, No. 6, 1961-2012 (2023). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58C40 35K08 58J65 58J35 PDFBibTeX XMLCite \textit{A. Grigor'yan} et al., Proc. Lond. Math. Soc. (3) 126, No. 6, 1961--2012 (2023; Zbl 1523.58007) Full Text: DOI arXiv
Murugan, Mathav; Saloff-Coste, Laurent Harnack inequalities and Gaussian estimates for random walks on metric measure spaces. (English) Zbl 07707084 Electron. J. Probab. 28, Paper No. 64, 81 p. (2023). Reviewer: Jean Picard (Aubière) MSC: 58J65 60J35 58J35 PDFBibTeX XMLCite \textit{M. Murugan} and \textit{L. Saloff-Coste}, Electron. J. Probab. 28, Paper No. 64, 81 p. (2023; Zbl 07707084) Full Text: DOI arXiv Link
Randles, Evan; Saloff-Coste, Laurent On-diagonal asymptotics for heat kernels of a class of inhomogeneous partial differential operators. (English) Zbl 1514.35256 J. Differ. Equations 363, 67-125 (2023). MSC: 35K08 35K25 47D06 42B99 PDFBibTeX XMLCite \textit{E. Randles} and \textit{L. Saloff-Coste}, J. Differ. Equations 363, 67--125 (2023; Zbl 1514.35256) Full Text: DOI arXiv
Gordina, Masha (ed.); Kumagai, Takashi (ed.); Saloff-Coste, Laurent (ed.); Sturm, Karl-Theodor (ed.) Heat kernels, stochastic processes and functional inequalities. Abstracts from the workshop held October 30 – November 5, 2022. (English) Zbl 1521.00018 Oberwolfach Rep. 19, No. 4, 2811-2893 (2022). MSC: 00B05 00B25 58-06 60-06 31-06 31Cxx 60Jxx 58Jxx PDFBibTeX XMLCite \textit{M. Gordina} (ed.) et al., Oberwolfach Rep. 19, No. 4, 2811--2893 (2022; Zbl 1521.00018) Full Text: DOI
Chen, Zhen-Qing; Kumagai, Takashi; Saloff-Coste, Laurent; Wang, Jian; Zheng, Tianyi Long range random walks and associated geometries on groups of polynomial growth. (Marches aléatoires à sauts de longue portée, et géométries associées, sur les groupes à croissance polynomiale.) (English. French summary) Zbl 1507.60056 Ann. Inst. Fourier 72, No. 3, 1249-1304 (2022). MSC: 60G50 20F65 60B15 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Ann. Inst. Fourier 72, No. 3, 1249--1304 (2022; Zbl 1507.60056) Full Text: DOI arXiv
Saloff-Coste, Laurent; Zheng, Tianyi Isoperimetric profiles and random walks on some groups defined by piecewise actions. (English) Zbl 07434412 Probab. Theory Relat. Fields 181, No. 1-3, 711-756 (2021). MSC: 20F65 60B15 60G50 20E08 05C81 PDFBibTeX XMLCite \textit{L. Saloff-Coste} and \textit{T. Zheng}, Probab. Theory Relat. Fields 181, No. 1--3, 711--756 (2021; Zbl 07434412) Full Text: DOI arXiv
Diaconis, Persi; Houston-Edwards, Kelsey; Saloff-Coste, Laurent Gambler’s ruin estimates on finite inner uniform domains. (English) Zbl 1476.60115 Ann. Appl. Probab. 31, No. 2, 865-895 (2021). MSC: 60J10 PDFBibTeX XMLCite \textit{P. Diaconis} et al., Ann. Appl. Probab. 31, No. 2, 865--895 (2021; Zbl 1476.60115) Full Text: DOI arXiv Link
Diaconis, Persi; Houston-Edwards, Kelsey; Saloff-Coste, Laurent Analytic-geometric methods for finite Markov chains with applications to quasi-stationarity. (English) Zbl 1456.60176 ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 2, 901-991 (2020). MSC: 60J10 60J22 PDFBibTeX XMLCite \textit{P. Diaconis} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 2, 901--991 (2020; Zbl 1456.60176) Full Text: arXiv Link
Randles, Evan; Saloff-Coste, Laurent Davies’ method for heat-kernel estimates: an extension to the semi-elliptic setting. (English) Zbl 1439.35191 Trans. Am. Math. Soc. 373, No. 4, 2525-2565 (2020). Reviewer: Andrei Perjan (Chişinău) MSC: 35K08 35K25 35H30 PDFBibTeX XMLCite \textit{E. Randles} and \textit{L. Saloff-Coste}, Trans. Am. Math. Soc. 373, No. 4, 2525--2565 (2020; Zbl 1439.35191) Full Text: DOI arXiv
Murugan, Mathav; Saloff-Coste, Laurent Heat kernel estimates for anomalous heavy-tailed random walks. (English. French summary) Zbl 1466.60144 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 697-719 (2019). MSC: 60J10 60J76 PDFBibTeX XMLCite \textit{M. Murugan} and \textit{L. Saloff-Coste}, Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 697--719 (2019; Zbl 1466.60144) Full Text: DOI arXiv Euclid
Eldredge, Nathaniel; Gordina, Maria; Saloff-Coste, Laurent Left-invariant geometries on \(\operatorname{SU}(2)\) are uniformly doubling. (English) Zbl 1407.53034 Geom. Funct. Anal. 28, No. 5, 1321-1367 (2018). Reviewer: Ioan Pop (Iaşi) MSC: 53C21 35K08 53C17 58J35 58J60 22C05 22E30 57N10 51M10 53C30 57M25 58D17 PDFBibTeX XMLCite \textit{N. Eldredge} et al., Geom. Funct. Anal. 28, No. 5, 1321--1367 (2018; Zbl 1407.53034) Full Text: DOI arXiv
Grigor’yan, Alexander; Ishiwata, Satoshi; Saloff-Coste, Laurent Heat kernel estimates on connected sums of parabolic manifolds. (English. French summary) Zbl 1388.35078 J. Math. Pures Appl. (9) 113, 155-194 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35K08 58J65 58J35 PDFBibTeX XMLCite \textit{A. Grigor'yan} et al., J. Math. Pures Appl. (9) 113, 155--194 (2018; Zbl 1388.35078) Full Text: DOI arXiv
Randles, Evan; Saloff-Coste, Laurent Positive-homogeneous operators, heat kernel estimates and the Legendre-Fenchel transform. (English) Zbl 1409.35061 Baudoin, Fabrice (ed.) et al., Stochastic analysis and related topics. A festschrift in honor of Rodrigo Bañuelos, Purdue University, West Lafayette, IN, USA, May 20–22, 2015. Cham: Birkhäuser. Prog. Probab. 72, 1-55 (2017). MSC: 35H30 35K25 PDFBibTeX XMLCite \textit{E. Randles} and \textit{L. Saloff-Coste}, Prog. Probab. 72, 1--55 (2017; Zbl 1409.35061) Full Text: DOI arXiv
Murugan, Mathav; Saloff-Coste, Laurent Davies’ method for anomalous diffusions. (English) Zbl 1360.60152 Proc. Am. Math. Soc. 145, No. 4, 1793-1804 (2017). Reviewer: Max Fathi (Toulouse) MSC: 60J60 60J35 60J45 PDFBibTeX XMLCite \textit{M. Murugan} and \textit{L. Saloff-Coste}, Proc. Am. Math. Soc. 145, No. 4, 1793--1804 (2017; Zbl 1360.60152) Full Text: DOI arXiv
Bendikov, Alexander; Saloff-Coste, Laurent; Salvatori, Maura; Woess, Wolfgang Brownian motion on treebolic space: positive harmonic functions. (Mouvement Brownien sur l’espace arbolique : fonctions harmoniques positives.) (English. French summary) Zbl 1360.31008 Ann. Inst. Fourier 66, No. 4, 1691-1731 (2016). MSC: 31C12 60J50 53C23 05C05 PDFBibTeX XMLCite \textit{A. Bendikov} et al., Ann. Inst. Fourier 66, No. 4, 1691--1731 (2016; Zbl 1360.31008) Full Text: DOI arXiv
Grigor’yan, Alexander; Saloff-Coste, Laurent Surgery of the Faber-Krahn inequality and applications to heat kernel bounds. (English) Zbl 1334.58019 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 131, 243-272 (2016). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 35P15 PDFBibTeX XMLCite \textit{A. Grigor'yan} and \textit{L. Saloff-Coste}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 131, 243--272 (2016; Zbl 1334.58019) Full Text: DOI
Randles, Evan; Saloff-Coste, Laurent On the convolution powers of complex functions on \(\mathbb{Z}\). (English) Zbl 1347.42011 J. Fourier Anal. Appl. 21, No. 4, 754-798 (2015). MSC: 42A85 60F99 PDFBibTeX XMLCite \textit{E. Randles} and \textit{L. Saloff-Coste}, J. Fourier Anal. Appl. 21, No. 4, 754--798 (2015; Zbl 1347.42011) Full Text: DOI arXiv
Lierl, Janna; Saloff-Coste, Laurent Scale-invariant boundary Harnack principle in inner uniform domains. (English) Zbl 1301.31008 Osaka J. Math. 51, No. 3, 619-656 (2014). MSC: 31C25 PDFBibTeX XMLCite \textit{J. Lierl} and \textit{L. Saloff-Coste}, Osaka J. Math. 51, No. 3, 619--656 (2014; Zbl 1301.31008) Full Text: arXiv Euclid
Bendikov, Alexander; Saloff-Coste, Laurent; Salvatori, Maura; Woess, Wolfgang The heat semigroup and Brownian motion on strip complexes. (English) Zbl 1228.60084 Adv. Math. 226, No. 1, 992-1055 (2011). Reviewer: Yuri Kifer (Jerusalem) MSC: 60J45 PDFBibTeX XMLCite \textit{A. Bendikov} et al., Adv. Math. 226, No. 1, 992--1055 (2011; Zbl 1228.60084) Full Text: DOI arXiv
Grigor’yan, Alexander; Saloff-Coste, Laurent Heat kernel on manifolds with ends. (English) Zbl 1239.58016 Ann. Inst. Fourier 59, No. 5, 1917-1997 (2009). MSC: 58J35 35K08 58J65 60J60 PDFBibTeX XMLCite \textit{A. Grigor'yan} and \textit{L. Saloff-Coste}, Ann. Inst. Fourier 59, No. 5, 1917--1997 (2009; Zbl 1239.58016) Full Text: DOI EuDML Link
Saloff-Coste, Laurent Sobolev inequalities in familiar and unfamiliar settings. (English) Zbl 1165.26011 Maz’ya, Vladimir (ed.), Sobolev spaces in mathematics. I: Sobolev type inequalities. New York, NY: Springer; Novosibirsk: Tamara Rozhkovskaya Publisher (ISBN 978-0-387-85647-6/hbk; 978-5-901873-24-3/hbk; 978-0-387-85648-3/e-book; 978-0-387-85791-6/set). International Mathematical Series 8, 299-343 (2009). MSC: 26D10 46E35 PDFBibTeX XMLCite \textit{L. Saloff-Coste}, in: Sobolev spaces in mathematics. I: Sobolev type inequalities. New York, NY: Springer; Novosibirsk: Tamara Rozhkovskaya Publisher. 299--343 (2009; Zbl 1165.26011) Full Text: DOI
Chatterji, L.; Pittet, C.; Saloff-Coste, L. Connected Lie groups and property RD. (English) Zbl 1119.22006 Duke Math. J. 137, No. 3, 511-536 (2007). Reviewer: Michael J. Puls (New York) MSC: 22E30 46L05 22D15 43A15 PDFBibTeX XMLCite \textit{L. Chatterji} et al., Duke Math. J. 137, No. 3, 511--536 (2007; Zbl 1119.22006) Full Text: DOI arXiv
Grigor’yan, Alexander; Saloff-Coste, Laurent Stability results for Harnack inequalities. (English) Zbl 1115.58024 Ann. Inst. Fourier 55, No. 3, 825-890 (2005). MSC: 58J35 35B45 35B65 35J05 PDFBibTeX XMLCite \textit{A. Grigor'yan} and \textit{L. Saloff-Coste}, Ann. Inst. Fourier 55, No. 3, 825--890 (2005; Zbl 1115.58024) Full Text: DOI Numdam EuDML Link
Grigor’yan, Alexander; Saloff-Coste, Laurent Hitting probabilities for Brownian motion on Riemannian manifolds. (English) Zbl 1042.58022 J. Math. Pures Appl., IX. Sér. 81, No. 2, 115-142 (2002). Reviewer: Jacques Franchi (Strasbourg) MSC: 58J65 58J35 31C12 PDFBibTeX XMLCite \textit{A. Grigor'yan} and \textit{L. Saloff-Coste}, J. Math. Pures Appl. (9) 81, No. 2, 115--142 (2002; Zbl 1042.58022) Full Text: DOI
Pittet, C.; Saloff-Coste, L. On random walks on wreath products. (English) Zbl 1021.60004 Ann. Probab. 30, No. 2, 948-977 (2002). Reviewer: Yasuhiro Asoo (Okayama) MSC: 60B15 PDFBibTeX XMLCite \textit{C. Pittet} and \textit{L. Saloff-Coste}, Ann. Probab. 30, No. 2, 948--977 (2002; Zbl 1021.60004) Full Text: DOI
Hebisch, Waldemar; Saloff-Coste, Laurent On the relation between elliptic and parabolic Harnack inequalities. (English) Zbl 0988.58007 Ann. Inst. Fourier 51, No. 5, 1437-1481 (2001). Reviewer: Lubomira Softova (Bari) MSC: 58J05 58J35 31C25 58J65 60J65 PDFBibTeX XMLCite \textit{W. Hebisch} and \textit{L. Saloff-Coste}, Ann. Inst. Fourier 51, No. 5, 1437--1481 (2001; Zbl 0988.58007) Full Text: DOI Numdam Numdam EuDML
Pittet, Ch.; Saloff-Coste, L. On the stability of the behavior of random walks on groups. (English) Zbl 0985.60043 J. Geom. Anal. 10, No. 4, 713-737 (2000). Reviewer: Gheorghe Oprişan (Bucureşti) MSC: 60G50 58J65 PDFBibTeX XMLCite \textit{Ch. Pittet} and \textit{L. Saloff-Coste}, J. Geom. Anal. 10, No. 4, 713--737 (2000; Zbl 0985.60043) Full Text: DOI
Pittet, Christophe; Saloff-Coste, Laurent On the stability of the behavior of random walks on groups. (English) Zbl 0988.60517 J. Geom. Anal. 10, No. 4, 713-737 (2000). Reviewer: Christophe Pittet (Toulouse) MSC: 60G50 43A77 58J65 PDFBibTeX XML Full Text: DOI
Diaconis, P.; Saloff-Coste, L. Nash inequalities for finite Markov chains. (English) Zbl 0870.60064 J. Theor. Probab. 9, No. 2, 459-510 (1996). MSC: 60J10 60J45 PDFBibTeX XMLCite \textit{P. Diaconis} and \textit{L. Saloff-Coste}, J. Theor. Probab. 9, No. 2, 459--510 (1996; Zbl 0870.60064) Full Text: DOI
Saloff-Coste, L. Isoperimetric inequalities and decay of iterated kernels for almost-transitive Markov chains. (English) Zbl 0842.60070 Comb. Probab. Comput. 4, No. 4, 419-442 (1995). Reviewer: L.Saloff-Coste (Toulouse) MSC: 60G50 05C25 PDFBibTeX XMLCite \textit{L. Saloff-Coste}, Comb. Probab. Comput. 4, No. 4, 419--442 (1995; Zbl 0842.60070) Full Text: DOI
Maheux, P.; Saloff-Coste, L. Analysis on geodesic balls of sub-elliptic operators. (Analyse sur les boules d’un opérateur sous-elliptique.) (French) Zbl 0836.35106 Math. Ann. 303, No. 4, 713-740 (1995). Reviewer: P.Maheux (Orléans) MSC: 35P15 35J70 58J05 26D10 PDFBibTeX XMLCite \textit{P. Maheux} and \textit{L. Saloff-Coste}, Math. Ann. 303, No. 4, 713--740 (1995; Zbl 0836.35106) Full Text: DOI EuDML
Saloff-Coste, L. Parabolic Harnack inequality for divergence form second order differential operators. (English) Zbl 0840.31006 Potential Anal. 4, No. 4, 429-467 (1995). Reviewer: R.-M.Hervé (Paris) MSC: 31B35 47F05 26D10 PDFBibTeX XMLCite \textit{L. Saloff-Coste}, Potential Anal. 4, No. 4, 429--467 (1995; Zbl 0840.31006) Full Text: DOI
Coulhon, Th.; Saloff-Coste, L. Lower bounds for one-dimensional Markov chains. (Minorations pour les chaînes de Markov unidimensionnelles.) (French) Zbl 0792.60063 Probab. Theory Relat. Fields 97, No. 3, 423-431 (1993). Reviewer: Th.Coulhon MSC: 60G50 31C20 PDFBibTeX XMLCite \textit{Th. Coulhon} and \textit{L. Saloff-Coste}, Probab. Theory Relat. Fields 97, No. 3, 423--431 (1993; Zbl 0792.60063) Full Text: DOI