Stinchcombe, Maxwell B. Direct hyperfinite representations of finitely additive probabilities. (English) Zbl 07783574 Ill. J. Math. 67, No. 4, 629-662 (2023). MSC: 28E05 60B05 03H10 PDFBibTeX XMLCite \textit{M. B. Stinchcombe}, Ill. J. Math. 67, No. 4, 629--662 (2023; Zbl 07783574) Full Text: DOI Link
Badger, Matthew; McCurdy, Sean Subsets of rectifiable curves in Banach spaces. II: Universal estimates for almost flat arcs. (English) Zbl 07724274 Ill. J. Math. 67, No. 2, 275-331 (2023). MSC: 28A75 26A16 46B20 60G46 PDFBibTeX XMLCite \textit{M. Badger} and \textit{S. McCurdy}, Ill. J. Math. 67, No. 2, 275--331 (2023; Zbl 07724274) Full Text: DOI arXiv Link
Badger, Matthew; McCurdy, Sean Subsets of rectifiable curves in Banach spaces. I: Sharp exponents in traveling salesman theorems. (English) Zbl 07724273 Ill. J. Math. 67, No. 2, 203-274 (2023). Reviewer: Jaroslav Tišer (Praha) MSC: 28A75 26A16 28A80 46B20 65D10 PDFBibTeX XMLCite \textit{M. Badger} and \textit{S. McCurdy}, Ill. J. Math. 67, No. 2, 203--274 (2023; Zbl 07724273) Full Text: DOI arXiv Link
Ayoush, Rami; Wojciechowski, Michał On dimension and regularity of vector-valued measures under Fourier analytic constraints. (English) Zbl 1516.42008 Ill. J. Math. 66, No. 3, 289-313 (2022). MSC: 42B10 28B05 28A78 PDFBibTeX XMLCite \textit{R. Ayoush} and \textit{M. Wojciechowski}, Ill. J. Math. 66, No. 3, 289--313 (2022; Zbl 1516.42008) Full Text: DOI Link
Rajala, Kai; Rasimus, Martti Quasisymmetric Koebe uniformization with weak metric doubling measures. (English) Zbl 1483.30105 Ill. J. Math. 65, No. 4, 749-767 (2021). MSC: 30L10 28A75 30C65 PDFBibTeX XMLCite \textit{K. Rajala} and \textit{M. Rasimus}, Ill. J. Math. 65, No. 4, 749--767 (2021; Zbl 1483.30105) Full Text: DOI arXiv Link
Li, Zhiming; Selmi, Bilel On the multifractal analysis of measures in a probability space. (English) Zbl 1498.28005 Ill. J. Math. 65, No. 3, 687-718 (2021). Reviewer: Sascha Troscheit (Wien) MSC: 28A78 28A80 37C45 PDFBibTeX XMLCite \textit{Z. Li} and \textit{B. Selmi}, Ill. J. Math. 65, No. 3, 687--718 (2021; Zbl 1498.28005) Full Text: DOI Link
Anderson, Robert M.; Duanmu, Haosui; Smith, Aaron Mixing and hitting times for Gibbs samplers and other non-Feller processes. (English) Zbl 1498.60301 Ill. J. Math. 65, No. 3, 547-577 (2021). MSC: 60J10 28E05 PDFBibTeX XMLCite \textit{R. M. Anderson} et al., Ill. J. Math. 65, No. 3, 547--577 (2021; Zbl 1498.60301) Full Text: DOI Link
Dayan, Alberto; Fernández, José L.; González, María J. Hausdorff measures, dyadic approximations, and the Dobiński set. (English) Zbl 1469.11252 Ill. J. Math. 65, No. 2, 515-531 (2021). MSC: 11K55 28A78 30C85 PDFBibTeX XMLCite \textit{A. Dayan} et al., Ill. J. Math. 65, No. 2, 515--531 (2021; Zbl 1469.11252) Full Text: DOI arXiv
El Abdalaoui, E. H. Corrigendum to: “On the homogeneous ergodic bilinear averages with Möbius and Liouville weights”. (English) Zbl 1470.37010 Ill. J. Math. 64, No. 4, 645 (2020). MSC: 37A30 37A44 47A35 28D05 11B30 11N37 PDFBibTeX XMLCite \textit{E. H. El Abdalaoui}, Ill. J. Math. 64, No. 4, 645 (2020; Zbl 1470.37010) Full Text: DOI Euclid
Keisler, H. Jerome; Sun, Yeneng On the converse law of large numbers. (English) Zbl 1445.60031 Ill. J. Math. 64, No. 2, 199-225 (2020). MSC: 60F15 28A35 28E05 03H15 PDFBibTeX XMLCite \textit{H. J. Keisler} and \textit{Y. Sun}, Ill. J. Math. 64, No. 2, 199--225 (2020; Zbl 1445.60031) Full Text: DOI Euclid
El Abdalaoui, E. H. On the homogeneous ergodic bilinear averages with Möbius and Liouville weights. (English) Zbl 1439.37006 Ill. J. Math. 64, No. 1, 1-19 (2020); corrigendum ibid. 64, No. 4, 645 (2020). Reviewer: Armand Azonnahin (São Paulo) MSC: 37A30 37A44 47A35 28D05 11B30 11N37 PDFBibTeX XMLCite \textit{E. H. El Abdalaoui}, Ill. J. Math. 64, No. 1, 1--19 (2020; Zbl 1439.37006) Full Text: DOI arXiv Euclid HAL
Ma, Daowei; Wei, Xin; Wen, Zhi-Ying On strict Whitney arcs and \(t\)-quasi self-similar arcs. (English) Zbl 1403.28008 Ill. J. Math. 61, No. 3-4, 443-477 (2017). Reviewer: Peter Massopust (München) MSC: 28A80 54F45 PDFBibTeX XMLCite \textit{D. Ma} et al., Ill. J. Math. 61, No. 3--4, 443--477 (2017; Zbl 1403.28008) Full Text: arXiv Euclid
Dobrić, Vladimir; Garmirian, Patricia A new direct proof of the central limit theorem. (English) Zbl 1394.60015 Ill. J. Math. 61, No. 3-4, 355-370 (2017). MSC: 60F05 42C40 28A33 PDFBibTeX XMLCite \textit{V. Dobrić} and \textit{P. Garmirian}, Ill. J. Math. 61, No. 3--4, 355--370 (2017; Zbl 1394.60015) Full Text: arXiv Euclid
Pinamonti, Andrea; Speight, Gareth Structure of porous sets in Carnot groups. (English) Zbl 1457.53016 Ill. J. Math. 61, No. 1-2, 127-150 (2017). MSC: 53C17 28A75 43A80 49Q15 PDFBibTeX XMLCite \textit{A. Pinamonti} and \textit{G. Speight}, Ill. J. Math. 61, No. 1--2, 127--150 (2017; Zbl 1457.53016) Full Text: arXiv Euclid
Bansah, Justice S.; Sehba, Benoît F. Boundedness of a family of Hilbert-type operators and its Bergman-type analogue. (English) Zbl 1370.47029 Ill. J. Math. 59, No. 4, 949-977 (2015). MSC: 47B34 26D15 28A25 PDFBibTeX XMLCite \textit{J. S. Bansah} and \textit{B. F. Sehba}, Ill. J. Math. 59, No. 4, 949--977 (2015; Zbl 1370.47029) Full Text: arXiv Euclid
Chen, Changhao; Rossi, Eino Locally rich compact sets. (English) Zbl 1330.53054 Ill. J. Math. 58, No. 3, 779-806 (2014). MSC: 53C23 28A80 37F40 PDFBibTeX XMLCite \textit{C. Chen} and \textit{E. Rossi}, Ill. J. Math. 58, No. 3, 779--806 (2014; Zbl 1330.53054) Full Text: arXiv Euclid
Zapadinskaya, Aleksandra Hölder continuous Sobolev mappings and the Lusin N property. (English) Zbl 1331.26021 Ill. J. Math. 58, No. 2, 585-591 (2014). Reviewer: Andrzej Nowak (Katowice) MSC: 26B35 46E35 28A78 PDFBibTeX XMLCite \textit{A. Zapadinskaya}, Ill. J. Math. 58, No. 2, 585--591 (2014; Zbl 1331.26021) Full Text: Euclid
Guo, Zijian; Kogan, Rachel; Qiu, Hua; Strichartz, Robert S. Boundary value problems for a family of domains in the Sierpinski gasket. (English) Zbl 1323.28013 Ill. J. Math. 58, No. 2, 497-519 (2014). Reviewer: Peter Massopust (München) MSC: 28A80 PDFBibTeX XMLCite \textit{Z. Guo} et al., Ill. J. Math. 58, No. 2, 497--519 (2014; Zbl 1323.28013) Full Text: arXiv Euclid
Le Donne, Enrico; Züst, Roger Some properties of Hölder surfaces in the Heisenberg group. (English) Zbl 1294.53033 Ill. J. Math. 57, No. 1, 229-249 (2013). MSC: 53C17 49Q15 28A75 26A16 PDFBibTeX XMLCite \textit{E. Le Donne} and \textit{R. Züst}, Ill. J. Math. 57, No. 1, 229--249 (2013; Zbl 1294.53033) Full Text: arXiv Euclid
Khan, M. Ali; Sagara, Nobusumi Maharam-types and Lyapunov’s theorem for vector measures on Banach spaces. (English) Zbl 1298.28027 Ill. J. Math. 57, No. 1, 145-169 (2013). Reviewer: Srinivasa Swaminathan (Halifax) MSC: 28B05 46G10 28B20 46B22 PDFBibTeX XMLCite \textit{M. A. Khan} and \textit{N. Sagara}, Ill. J. Math. 57, No. 1, 145--169 (2013; Zbl 1298.28027) Full Text: Euclid
Moonens, Laurent; Rosenblatt, Joseph M. Moving averages in the plane. (English) Zbl 1309.42025 Ill. J. Math. 56, No. 3, 759-793 (2012). Reviewer: Yasuo Komori-Furuya (Kanagawa) MSC: 42B25 28D05 PDFBibTeX XMLCite \textit{L. Moonens} and \textit{J. M. Rosenblatt}, Ill. J. Math. 56, No. 3, 759--793 (2012; Zbl 1309.42025) Full Text: Euclid
Korte, Riikka; Magnani, Valentino Measure of curves in graded groups. (English) Zbl 1283.28004 Ill. J. Math. 56, No. 2, 353-366 (2012). Reviewer: Boris A. Kats (Kazan) MSC: 28A75 22E25 PDFBibTeX XMLCite \textit{R. Korte} and \textit{V. Magnani}, Ill. J. Math. 56, No. 2, 353--366 (2012; Zbl 1283.28004) Full Text: arXiv Euclid
Hutník, Ondrej On vector-valued Dobrakov submeasures. (English) Zbl 1277.28015 Ill. J. Math. 55, No. 4, 1349-1366 (2011). Reviewer: Vladimir Kadets (Kharkov) MSC: 28B05 28B15 46B42 PDFBibTeX XMLCite \textit{O. Hutník}, Ill. J. Math. 55, No. 4, 1349--1366 (2011; Zbl 1277.28015) Full Text: arXiv Euclid
Rajala, Tapio; Vilppolainen, Markku Weakly controlled Moran constructions and iterated functions systems in metric spaces. (English) Zbl 1281.28005 Ill. J. Math. 55, No. 3, 1015-1051 (2011). Reviewer: Nicolae-Adrian Secelean (Sibiu) MSC: 28A80 28A78 37C45 PDFBibTeX XMLCite \textit{T. Rajala} and \textit{M. Vilppolainen}, Ill. J. Math. 55, No. 3, 1015--1051 (2011; Zbl 1281.28005) Full Text: arXiv Euclid
Chakraborty, N. D.; Basu, Santwana Integration of vector-valued functions with respect to vector measures defined on \(\delta \)-rings. (English) Zbl 1297.46032 Ill. J. Math. 55, No. 2, 495-508 (2011). Reviewer: Lluís Miquel García Raffi (València) MSC: 46G10 28B05 46B99 PDFBibTeX XMLCite \textit{N. D. Chakraborty} and \textit{S. Basu}, Ill. J. Math. 55, No. 2, 495--508 (2011; Zbl 1297.46032) Full Text: Euclid
Loeb, Peter A. Representing measures in potential theory and an ideal boundary. (English) Zbl 1254.28015 Ill. J. Math. 54, No. 4, 1451-1461 (2010). MSC: 28E05 03H05 31C35 PDFBibTeX XMLCite \textit{P. A. Loeb}, Ill. J. Math. 54, No. 4, 1451--1461 (2010; Zbl 1254.28015) Full Text: Euclid
Bauer, Robert O. A simple construction of Werner measure from chordal \(\mathrm{SLE}_{8/3}\). (English) Zbl 1259.60011 Ill. J. Math. 54, No. 4, 1429-1449 (2010). MSC: 60D05 28C20 60J67 60K35 82B41 PDFBibTeX XMLCite \textit{R. O. Bauer}, Ill. J. Math. 54, No. 4, 1429--1449 (2010; Zbl 1259.60011) Full Text: arXiv Euclid
Duvenhage, Rocco Ergodicity and mixing of \(W^*\)-dynamical systems in terms of joinings. (English) Zbl 1235.46065 Ill. J. Math. 54, No. 2, 543-566 (2010). Reviewer: Victor Sharapov (Volgograd) MSC: 46L55 28D20 37B40 PDFBibTeX XMLCite \textit{R. Duvenhage}, Ill. J. Math. 54, No. 2, 543--566 (2010; Zbl 1235.46065) Full Text: arXiv Euclid
Drenning, Shawn; Strichartz, Robert S. Spectral decimation on Hambly’s homogeneous hierarchical gaskets. (English) Zbl 1211.28005 Ill. J. Math. 53, No. 3, 915-937 (2009). Reviewer: Su Weiyi (Nanjing) MSC: 28A80 31C99 35H99 PDFBibTeX XMLCite \textit{S. Drenning} and \textit{R. S. Strichartz}, Ill. J. Math. 53, No. 3, 915--937 (2009; Zbl 1211.28005) Full Text: Euclid
Johnson, Michael C. R. Convergence of polynomial ergodic averages of several variables for some commuting transformations. (English) Zbl 1210.28017 Ill. J. Math. 53, No. 3, 865-882 (2009). Reviewer: Makoto Mori (Tokyo) MSC: 28D05 37A15 PDFBibTeX XMLCite \textit{M. C. R. Johnson}, Ill. J. Math. 53, No. 3, 865--882 (2009; Zbl 1210.28017) Full Text: arXiv Euclid
Drewnowski, Lech; Labuda, Iwo Solid sequence \(F\)-spaces of \(L_{0}\)-type over submeasures on \(\mathbb N\). (English) Zbl 1200.46008 Ill. J. Math. 53, No. 2, 623-678 (2009). Reviewer: Beloslav Riečan (Banská Bystrica) MSC: 46A45 46A16 28A12 46A35 PDFBibTeX XMLCite \textit{L. Drewnowski} and \textit{I. Labuda}, Ill. J. Math. 53, No. 2, 623--678 (2009; Zbl 1200.46008) Full Text: Euclid
Rivera-Noriega, Jorge A parabolic version of corona decompositions. (English) Zbl 1193.28006 Ill. J. Math. 53, No. 2, 533-559 (2009). Reviewer: Yuri A. Brudnyi (Haifa) MSC: 28A75 42B20 PDFBibTeX XMLCite \textit{J. Rivera-Noriega}, Ill. J. Math. 53, No. 2, 533--559 (2009; Zbl 1193.28006) Full Text: Euclid
Bongiorno, B.; Di Piazza, L.; Musiał, K. A variational Henstock integral characterization of the Radon-Nikodým property. (English) Zbl 1200.46021 Ill. J. Math. 53, No. 1, 87-99 (2009). Reviewer: Hans F. Günzler (Kiel) MSC: 46B22 28B05 26A39 46G05 46G10 58C20 PDFBibTeX XMLCite \textit{B. Bongiorno} et al., Ill. J. Math. 53, No. 1, 87--99 (2009; Zbl 1200.46021) Full Text: Euclid
Wang, Xiaohua; Wen, Shengyou; Wen, Zhixiong Doubling measures and nonquasisymmetric maps on Whitney modification sets in Euclidean spaces. (English) Zbl 1193.28011 Ill. J. Math. 52, No. 4, 1291-1300 (2008). Reviewer: Stéphane Seuret (Creteil) MSC: 28A80 PDFBibTeX XMLCite \textit{X. Wang} et al., Ill. J. Math. 52, No. 4, 1291--1300 (2008; Zbl 1193.28011) Full Text: Euclid
Suomala, Ville Upper porous measures on metric spaces. (English) Zbl 1183.28009 Ill. J. Math. 52, No. 3, 967-980 (2008). Reviewer: K. P. Hart (Delft) MSC: 28A78 28A05 28A12 PDFBibTeX XMLCite \textit{V. Suomala}, Ill. J. Math. 52, No. 3, 967--980 (2008; Zbl 1183.28009) Full Text: Euclid
Dodos, Pandelis; Kanellopoulos, Vassilis On pairs of definable orthogonal families. (English) Zbl 1171.03025 Ill. J. Math. 52, No. 1, 181-201 (2008). Reviewer: Tomasz Natkaniec (Gdańsk) MSC: 03E15 28A05 54H05 PDFBibTeX XMLCite \textit{P. Dodos} and \textit{V. Kanellopoulos}, Ill. J. Math. 52, No. 1, 181--201 (2008; Zbl 1171.03025) Full Text: arXiv Euclid
Balogh, Zoltán M.; Rohner, Heiner Self-similar sets in doubling spaces. (English) Zbl 1163.28001 Ill. J. Math. 51, No. 4, 1275-1297 (2007). Reviewer: Jason Levesley (York) MSC: 28A78 28A80 PDFBibTeX XMLCite \textit{Z. M. Balogh} and \textit{H. Rohner}, Ill. J. Math. 51, No. 4, 1275--1297 (2007; Zbl 1163.28001)
Oberlin, Daniel M. Unions of hyperplanes, unions of spheres, and some related estimates. (English) Zbl 1167.28001 Ill. J. Math. 51, No. 4, 1265-1274 (2007). Reviewer: Uta Freiberg (Canberra) MSC: 28A75 26A33 28A78 28A80 46E35 PDFBibTeX XMLCite \textit{D. M. Oberlin}, Ill. J. Math. 51, No. 4, 1265--1274 (2007; Zbl 1167.28001)
Avenancio-Leon, Carlos; Strichartz, Robert S. Local behavior of harmonic functions on the Sierpinski gasket. (English) Zbl 1207.31006 Ill. J. Math. 51, No. 4, 1061-1075 (2007). MSC: 31C20 28A80 PDFBibTeX XMLCite \textit{C. Avenancio-Leon} and \textit{R. S. Strichartz}, Ill. J. Math. 51, No. 4, 1061--1075 (2007; Zbl 1207.31006)
Previte, Michelle The dimensions of limits of vertex replacement rules. (English) Zbl 1125.05034 Ill. J. Math. 51, No. 2, 513-536 (2007). MSC: 05C10 28A80 PDFBibTeX XMLCite \textit{M. Previte}, Ill. J. Math. 51, No. 2, 513--536 (2007; Zbl 1125.05034)
Loeb, Peter; Sun, Yeneng Purification of measure-valued maps. (English) Zbl 1107.28007 Ill. J. Math. 50, No. 1-4, 747-762 (2006). Reviewer: Ganesh Datta Dikshit (Auckland) MSC: 28A25 28E05 03H05 91A06 26E35 PDFBibTeX XMLCite \textit{P. Loeb} and \textit{Y. Sun}, Ill. J. Math. 50, No. 1--4, 747--762 (2006; Zbl 1107.28007)
Kaufman, Robert Mixing and descriptive set theory. (English) Zbl 1112.28001 Ill. J. Math. 50, No. 1-4, 541-545 (2006). Reviewer: Subiman Kundu (New Delhi) MSC: 28A05 28D05 54H05 54H15 60G10 03E15 PDFBibTeX XMLCite \textit{R. Kaufman}, Ill. J. Math. 50, No. 1--4, 541--545 (2006; Zbl 1112.28001)
Anoussis, M.; Gatzouras, D. On summing sequences in \(\mathbb{R}^d\). (English) Zbl 1092.43002 Ill. J. Math. 49, No. 3, 905-910 (2005). Reviewer: Madathum K. Viswanath (Chennai) MSC: 43A07 28D99 52A05 PDFBibTeX XMLCite \textit{M. Anoussis} and \textit{D. Gatzouras}, Ill. J. Math. 49, No. 3, 905--910 (2005; Zbl 1092.43002)
Zimmer, G. Beate A unifying Radon-Nikodým theorem through nonstandard hulls. (English) Zbl 1106.46027 Ill. J. Math. 49, No. 3, 873-883 (2005). MSC: 46G10 28E05 26E35 PDFBibTeX XMLCite \textit{G. B. Zimmer}, Ill. J. Math. 49, No. 3, 873--883 (2005; Zbl 1106.46027)
Deng, Da-Wen; Ngai, Sze-Man Vertices of self-similar tiles. (English) Zbl 1084.28005 Ill. J. Math. 49, No. 3, 857-872 (2005). MSC: 28A80 52C20 28A78 PDFBibTeX XMLCite \textit{D.-W. Deng} and \textit{S.-M. Ngai}, Ill. J. Math. 49, No. 3, 857--872 (2005; Zbl 1084.28005)
Borodulin-Nadzieja, Piotr; Plebanek, Grzegorz On compactness of measures on Polish spaces. (English) Zbl 1085.28008 Ill. J. Math. 49, No. 2, 531-545 (2005). Reviewer: Hans Weber (Udine) MSC: 28C15 PDFBibTeX XMLCite \textit{P. Borodulin-Nadzieja} and \textit{G. Plebanek}, Ill. J. Math. 49, No. 2, 531--545 (2005; Zbl 1085.28008)
Bourdon, P. S.; Matache, V.; Shapiro, J. H. On convergence to the Denjoy-Wolff point. (English) Zbl 1088.30015 Ill. J. Math. 49, No. 2, 405-430 (2005). Reviewer: Jianming Chang (Changshu) MSC: 30D05 28D99 PDFBibTeX XMLCite \textit{P. S. Bourdon} et al., Ill. J. Math. 49, No. 2, 405--430 (2005; Zbl 1088.30015)
Loeb, Peter A.; Ross, David A. Infinite products of infinite measures. (English) Zbl 1083.28003 Ill. J. Math. 49, No. 1, 153-158 (2005). Reviewer: W. A. J. Luxemburg (Pasadena) MSC: 28A35 28A12 28E05 46G12 PDFBibTeX XMLCite \textit{P. A. Loeb} and \textit{D. A. Ross}, Ill. J. Math. 49, No. 1, 153--158 (2005; Zbl 1083.28003)
Prat, Laura Null sets for the capacity associated to Riesz kernels. (English) Zbl 1070.42009 Ill. J. Math. 48, No. 3, 953-963 (2004). Reviewer: Lixin Yan (Guangzhou) MSC: 42B20 28A12 31B15 PDFBibTeX XMLCite \textit{L. Prat}, Ill. J. Math. 48, No. 3, 953--963 (2004; Zbl 1070.42009)
Danilenko, Alexandre I. Infinite rank one actions and nonsingular Chacon transformations. (English) Zbl 1069.37003 Ill. J. Math. 48, No. 3, 769-786 (2004). Reviewer: Akihiko Morimoto (Nagoya) MSC: 37A40 37A25 37A15 28D15 PDFBibTeX XMLCite \textit{A. I. Danilenko}, Ill. J. Math. 48, No. 3, 769--786 (2004; Zbl 1069.37003)
Zweimüller, Roland Uniqueness of the maximal function in the ratio ergodic theorem. (English) Zbl 1079.28009 Ill. J. Math. 48, No. 4, 1259-1265 (2004). Reviewer: Thomas Ward (Norwich) MSC: 28D05 47A35 42B25 PDFBibTeX XMLCite \textit{R. Zweimüller}, Ill. J. Math. 48, No. 4, 1259--1265 (2004; Zbl 1079.28009)
Downarowicz, Tomasz; Weiss, Benjamin Entropy theorems along times when \(x\) visits a set. (English) Zbl 1035.37004 Ill. J. Math. 48, No. 1, 59-69 (2004). Reviewer: Michael L. Blank (Nice) MSC: 37A35 28D20 37A05 PDFBibTeX XMLCite \textit{T. Downarowicz} and \textit{B. Weiss}, Ill. J. Math. 48, No. 1, 59--69 (2004; Zbl 1035.37004)
Herron, David A.; Koskela, Pekka Mappings of finite distortion: gauge dimension of generalized quasicircles. (English) Zbl 1050.30012 Ill. J. Math. 47, No. 4, 1243-1259 (2003). Reviewer: Yuliang Shen (Suzhou) MSC: 30C62 30C65 28A78 PDFBibTeX XMLCite \textit{D. A. Herron} and \textit{P. Koskela}, Ill. J. Math. 47, No. 4, 1243--1259 (2003; Zbl 1050.30012)
Di Piazza, L.; Preiss, D. When do McShane and Pettis integrals coincide? (English) Zbl 1045.28006 Ill. J. Math. 47, No. 4, 1177-1187 (2003). Reviewer: Štefan Schwabik (Praha) MSC: 28B05 46G10 26A39 PDFBibTeX XMLCite \textit{L. Di Piazza} and \textit{D. Preiss}, Ill. J. Math. 47, No. 4, 1177--1187 (2003; Zbl 1045.28006)
Cohen, Guy; Lin, Michael Laws of large numbers with rates and the one-sided ergodic Hilbert transform. (English) Zbl 1037.60028 Ill. J. Math. 47, No. 4, 997-1031 (2003). Reviewer: Anne Broise-Alamichel (Orsay) MSC: 60F15 28D05 47A35 42A16 PDFBibTeX XMLCite \textit{G. Cohen} and \textit{M. Lin}, Ill. J. Math. 47, No. 4, 997--1031 (2003; Zbl 1037.60028)
Ferrando, S. E.; Catuogno, P. J.; Gonzalez, A. L. Lower bounds for generalized upcrossings of ergodic averages. (English) Zbl 1029.28009 Ill. J. Math. 47, No. 3, 633-648 (2003). Reviewer: Michael L. Blank (Moskva) MSC: 28D99 47A35 37A05 PDFBibTeX XMLCite \textit{S. E. Ferrando} et al., Ill. J. Math. 47, No. 3, 633--648 (2003; Zbl 1029.28009)
Ye, Guoju; Schwabik, Štefan The McShane and the Pettis integral of Banach space-valued functions defined on \(\mathbb{R}^m\). (English) Zbl 1038.28009 Ill. J. Math. 46, No. 4, 1125-1144 (2002). Reviewer: Kazimierz Musiał (Wrocław) MSC: 28B05 46G10 26A39 PDFBibTeX XMLCite \textit{G. Ye} and \textit{Š. Schwabik}, Ill. J. Math. 46, No. 4, 1125--1144 (2002; Zbl 1038.28009)
Feng, De-Jun; Nguyen, Nhu T.; Wang, Tonghui Convolutions of equicontractive self-similar measures on the line. (English) Zbl 1027.28011 Ill. J. Math. 46, No. 4, 1339-1351 (2002). Reviewer: José-Manuel Rey (Madrid) MSC: 28A80 28A78 PDFBibTeX XMLCite \textit{D.-J. Feng} et al., Ill. J. Math. 46, No. 4, 1339--1351 (2002; Zbl 1027.28011)
Balister, Paul; Bollobás, Béla; Quas, Anthony Entropy along convex shapes, random tilings and shifts of finite type. (English) Zbl 1025.37010 Ill. J. Math. 46, No. 3, 781-795 (2002). Reviewer: Manuel Sanchis (Castelló) MSC: 37B50 37B10 37B40 28D20 52C07 37A35 PDFBibTeX XMLCite \textit{P. Balister} et al., Ill. J. Math. 46, No. 3, 781--795 (2002; Zbl 1025.37010)
Bongiorno, Donatella A regularity condition in Sobolev spaces \(W_{\operatorname{loc}}^{1,p}(\mathbb{R}^n)\) with \(1\leq p<n\). (English) Zbl 1036.26010 Ill. J. Math. 46, No. 2, 557-570 (2002). MSC: 26B30 28A75 46E35 PDFBibTeX XMLCite \textit{D. Bongiorno}, Ill. J. Math. 46, No. 2, 557--570 (2002; Zbl 1036.26010)
Berger, Josef; Osswald, Horst; Sun, Yeneng; Wu, Jiang-Lun On nonstandard product measure spaces. (English) Zbl 1014.03059 Ill. J. Math. 46, No. 1, 319-330 (2002). Reviewer: W.A.J.Luxemburg (Pasadena) MSC: 03H05 28A35 28E05 26E35 60A10 PDFBibTeX XMLCite \textit{J. Berger} et al., Ill. J. Math. 46, No. 1, 319--330 (2002; Zbl 1014.03059)
Bouhkari, Fakhreddine; Weber, Michel Almost sure convergence of weighted series of contractions. (English) Zbl 1024.28015 Ill. J. Math. 46, No. 1, 1-21 (2002). Reviewer: Idris Assani (Chapel Hill) MSC: 28D99 60G10 60G12 PDFBibTeX XMLCite \textit{F. Bouhkari} and \textit{M. Weber}, Ill. J. Math. 46, No. 1, 1--21 (2002; Zbl 1024.28015)
Bowles, Amie; Fidkowski, Lukasz; Marinello, Amy E.; Silva, Cesar E. Double ergodicity of nonsingular transformations and infinite measure-preserving staircase transformations. (English) Zbl 1055.37013 Ill. J. Math. 45, No. 3, 999-1019 (2001). MSC: 37A40 28D05 37A25 PDFBibTeX XMLCite \textit{A. Bowles} et al., Ill. J. Math. 45, No. 3, 999--1019 (2001; Zbl 1055.37013)
Heinemann, Stefan-M.; Stratmann, Bernd O. Geometric exponents for hyperbolic Julia sets. (English) Zbl 1055.37056 Ill. J. Math. 45, No. 3, 775-785 (2001). MSC: 37F50 37F35 28A80 37F15 PDFBibTeX XMLCite \textit{S.-M. Heinemann} and \textit{B. O. Stratmann}, Ill. J. Math. 45, No. 3, 775--785 (2001; Zbl 1055.37056)
Stefánsson, Gunnar F. Integration in vector spaces. (English) Zbl 0993.46024 Ill. J. Math. 45, No. 3, 925-938 (2001). Reviewer: D.R.Bell (Jacksonville) MSC: 46G10 28B05 PDFBibTeX XMLCite \textit{G. F. Stefánsson}, Ill. J. Math. 45, No. 3, 925--938 (2001; Zbl 0993.46024)
Johnson, Aimee S. A.; Şahin, Ayşe A. Even Kakutani equivalence and the loose block independence property for positive entropy \(\mathbb{Z}^d\) actions. (English) Zbl 1006.37010 Ill. J. Math. 45, No. 2, 495-516 (2001). Reviewer: M.A.Efendiev (Berlin) MSC: 37A35 28D05 PDFBibTeX XMLCite \textit{A. S. A. Johnson} and \textit{A. A. Şahin}, Ill. J. Math. 45, No. 2, 495--516 (2001; Zbl 1006.37010)
Di Piazza, L.; Musial, K. A characterization of variationally McShane integrable Banach-space valued functions. (English) Zbl 0999.28006 Ill. J. Math. 45, No. 1, 279-289 (2001). Reviewer: Tuan Seng Chew (Singapore) MSC: 28B05 46G10 PDFBibTeX XMLCite \textit{L. Di Piazza} and \textit{K. Musial}, Ill. J. Math. 45, No. 1, 279--289 (2001; Zbl 0999.28006)
Hamachi, Toshihiro; Silva, Cesar E. On nonsingular Chacon transformations. (English) Zbl 0973.28013 Ill. J. Math. 44, No. 4, 868-883 (2000). Reviewer: Karma Dajani (Utrecht) MSC: 28D05 37A05 PDFBibTeX XMLCite \textit{T. Hamachi} and \textit{C. E. Silva}, Ill. J. Math. 44, No. 4, 868--883 (2000; Zbl 0973.28013)
Reinhold, Karin A smoother ergodic average. (English) Zbl 0983.47007 Ill. J. Math. 44, No. 4, 843-859 (2000). MSC: 47A35 28D10 PDFBibTeX XMLCite \textit{K. Reinhold}, Ill. J. Math. 44, No. 4, 843--859 (2000; Zbl 0983.47007)
Bernardis, A. L.; Martín-Reyes, F. J.; Sarrión Gavilán, M. D. Convergence in the Cesàro sense of ergodic operators associated with a flow. (English) Zbl 0995.28009 Ill. J. Math. 44, No. 3, 667-680 (2000). Reviewer: U.Krengel (Göttingen) MSC: 28D05 47A35 42A50 PDFBibTeX XMLCite \textit{A. L. Bernardis} et al., Ill. J. Math. 44, No. 3, 667--680 (2000; Zbl 0995.28009)
Herron, David A.; Mayer, Volker Bilipschitz group actions and homogeneous Jordan curves. (English) Zbl 0935.30017 Ill. J. Math. 43, No. 4, 770-792 (1999). Reviewer: K.Georgiev (Rostov-na-Donu) MSC: 30C65 28A80 54E99 PDFBibTeX XMLCite \textit{D. A. Herron} and \textit{V. Mayer}, Ill. J. Math. 43, No. 4, 770--792 (1999; Zbl 0935.30017)
Çömez, Doğan General and weighted averages of admissible superadditive processes. (English) Zbl 0944.47006 Ill. J. Math. 43, No. 3, 582-591 (1999); addendum ibid. 48, No. 1, 357 (2004). MSC: 47A35 28D99 46E27 PDFBibTeX XMLCite \textit{D. Çömez}, Ill. J. Math. 43, No. 3, 582--591 (1999; Zbl 0944.47006)
Lin, Michael; Olsen, James; Tempelman, Arkady On modulated ergodic theorems for Dunford-Schwartz operators. (English) Zbl 0939.47008 Ill. J. Math. 43, No. 3, 542-567 (1999). Reviewer: U.Krengel (Göttingen) MSC: 47A35 28D05 PDFBibTeX XMLCite \textit{M. Lin} et al., Ill. J. Math. 43, No. 3, 542--567 (1999; Zbl 0939.47008)
Assani, I. A note on the equation \(Y=(I-T)X\) in \(L^1\). (English) Zbl 0936.28012 Ill. J. Math. 43, No. 3, 540-541 (1999). Reviewer: U.Krengel (Göttingen) MSC: 28D05 47A35 37A30 PDFBibTeX XMLCite \textit{I. Assani}, Ill. J. Math. 43, No. 3, 540--541 (1999; Zbl 0936.28012)
Kornfeld, Isaac Coboundaries for commuting transformations. (English) Zbl 0937.28014 Ill. J. Math. 43, No. 3, 528-539 (1999). Reviewer: Karma Dajani (Utrecht) MSC: 28D05 47A35 PDFBibTeX XMLCite \textit{I. Kornfeld}, Ill. J. Math. 43, No. 3, 528--539 (1999; Zbl 0937.28014)
Berkson, Earl; Gillespie, T. A. Spectral integration from dominated ergodic estimates. (English) Zbl 0930.42004 Ill. J. Math. 43, No. 3, 500-519 (1999). Reviewer: Earl Berkson (Urbana) and T.A.Gillespie (Edinburgh) MSC: 42A45 47B40 42B15 46E30 47A35 28D05 PDFBibTeX XMLCite \textit{E. Berkson} and \textit{T. A. Gillespie}, Ill. J. Math. 43, No. 3, 500--519 (1999; Zbl 0930.42004)
Kalikow, Steven; Weiss, Benjamin Fluctuations of ergodic averages. (English) Zbl 0935.28006 Ill. J. Math. 43, No. 3, 480-488 (1999). Reviewer: Alexander Kachurovskij (Novosibirsk) MSC: 28D05 28D15 PDFBibTeX XMLCite \textit{S. Kalikow} and \textit{B. Weiss}, Ill. J. Math. 43, No. 3, 480--488 (1999; Zbl 0935.28006)
Losert, Viktor A remark on almost everywhere convergence of convolution powers. (English) Zbl 0963.28014 Ill. J. Math. 43, No. 3, 465-479 (1999). Reviewer: Thomas Ward (Norwich) MSC: 28D05 37A05 47A35 60F15 60G50 PDFBibTeX XMLCite \textit{V. Losert}, Ill. J. Math. 43, No. 3, 465--479 (1999; Zbl 0963.28014)
Ha, M. D. Operators commuting with mixing sequences. (English) Zbl 0935.28009 Ill. J. Math. 43, No. 3, 427-446 (1999). Reviewer: Thomas Ward (Norwich) MSC: 28D20 60F99 37A25 PDFBibTeX XMLCite \textit{M. D. Ha}, Ill. J. Math. 43, No. 3, 427--446 (1999; Zbl 0935.28009)
Proceedings of the conference in honor of Alexandra Bellow, on the occasion of her retirement, Northwestern Univ., Evanston, IL, USA, October 23–26, 1997. (English) Zbl 0928.00064 Ill. J. Math. 43, No. 3, 427-611 (1999). MSC: 00B30 00B25 60-06 28-06 PDFBibTeX XMLCite Ill. J. Math. 43, No. 3, 427--611 (1999; Zbl 0928.00064)
Çömez, Doğan; Ferrando, Sebastian On the sequences that are good in the mean for positive \(L_p\)-contractions, \(1\leq p<\infty\). (English) Zbl 0924.47004 Ill. J. Math. 42, No. 4, 617-629 (1998). Reviewer: D.Maharam-Stone (Boston) MSC: 47A35 28D99 PDFBibTeX XMLCite \textit{D. Çömez} and \textit{S. Ferrando}, Ill. J. Math. 42, No. 4, 617--629 (1998; Zbl 0924.47004)
Petrakis, Minos A. Discrepancy norms on the space \(M[0,1]\) of Radon measures. (English) Zbl 0927.46019 Ill. J. Math. 42, No. 4, 601-616 (1998). Reviewer: Dumitrŭ Popa MSC: 46E27 47B38 47B07 46B20 46B22 28A33 60G57 PDFBibTeX XMLCite \textit{M. A. Petrakis}, Ill. J. Math. 42, No. 4, 601--616 (1998; Zbl 0927.46019)
Das, Manav Local properties of self-similar measures. (English) Zbl 0910.28006 Ill. J. Math. 42, No. 2, 313-332 (1998). Reviewer: V.Berthé (Marseille) MSC: 28A80 28A78 PDFBibTeX XMLCite \textit{M. Das}, Ill. J. Math. 42, No. 2, 313--332 (1998; Zbl 0910.28006)
Akcoglu, Mustafa A.; Jones, Roger L.; Schwartz, Peter O. Variation in probability, ergodic theory and analysis. (English) Zbl 0910.60040 Ill. J. Math. 42, No. 1, 154-177 (1998). Reviewer: B.Grigelionis (Vilnius) MSC: 60G46 40A05 28D05 42B25 PDFBibTeX XMLCite \textit{M. A. Akcoglu} et al., Ill. J. Math. 42, No. 1, 154--177 (1998; Zbl 0910.60040)
Wierdl, Máté Perturbation of plane curves and sequences of integers. (English) Zbl 0907.28009 Ill. J. Math. 42, No. 1, 139-153 (1998). Reviewer: Thomas Ward (Norwich) MSC: 28D05 42B25 PDFBibTeX XMLCite \textit{M. Wierdl}, Ill. J. Math. 42, No. 1, 139--153 (1998; Zbl 0907.28009)
Randrianantoanina, Narcisse; Saab, Elias The near Radon-Nikodym property in Lebesgue-Bochner function spaces. (English) Zbl 0913.46018 Ill. J. Math. 42, No. 1, 40-57 (1998). Reviewer: Martin Väth (Würzburg) MSC: 46B22 46E40 28B20 46G10 28B05 46E30 PDFBibTeX XMLCite \textit{N. Randrianantoanina} and \textit{E. Saab}, Ill. J. Math. 42, No. 1, 40--57 (1998; Zbl 0913.46018) Full Text: arXiv
Biró, A. On \(L_ \infty\) universally bad sequences in ergodic theory. (English) Zbl 0883.28013 Ill. J. Math. 41, No. 2, 309-314 (1997). Reviewer: A.Biró (Budapest) MSC: 28D05 11B75 PDFBibTeX XMLCite \textit{A. Biró}, Ill. J. Math. 41, No. 2, 309--314 (1997; Zbl 0883.28013)
Lacey, Michael On an inequality due to Bourgain. (English) Zbl 0881.42012 Ill. J. Math. 41, No. 2, 231-236 (1997). Reviewer: M.Milman (Boca Raton) MSC: 42B25 28D05 PDFBibTeX XMLCite \textit{M. Lacey}, Ill. J. Math. 41, No. 2, 231--236 (1997; Zbl 0881.42012)
Cutler, Colleen D. The density theorem and Hausdorff inequality for packing measure in general metric spaces. (English) Zbl 0844.28002 Ill. J. Math. 39, No. 4, 676-694 (1995). Reviewer: C.D.Cutler (Waterloo/Ontario) MSC: 28A78 28A80 PDFBibTeX XMLCite \textit{C. D. Cutler}, Ill. J. Math. 39, No. 4, 676--694 (1995; Zbl 0844.28002)
Randrianantoanina, Narcisse; Saab, Elias Stability of some types of Radon-Nikodým properties. (English) Zbl 0878.46028 Ill. J. Math. 39, No. 3, 416-430 (1995). Reviewer: M.Abel (Tartu) MSC: 46E40 46B22 46G10 28B05 28B20 PDFBibTeX XMLCite \textit{N. Randrianantoanina} and \textit{E. Saab}, Ill. J. Math. 39, No. 3, 416--430 (1995; Zbl 0878.46028)
Fremlin, D. H. The generalized McShane integral. (English) Zbl 0810.28006 Ill. J. Math. 39, No. 1, 39-67 (1995). Reviewer: D.H.Fremlin (Essex) MSC: 28B05 46G10 PDFBibTeX XMLCite \textit{D. H. Fremlin}, Ill. J. Math. 39, No. 1, 39--67 (1995; Zbl 0810.28006)
Jones, Roger; Rosenblatt, Joseph; Tempelman, Arkady Ergodic theorems for convolutions of a measure on a group. (English) Zbl 0831.28008 Ill. J. Math. 38, No. 4, 521-553 (1994). Reviewer: S.G.Dani (Bombay) MSC: 28D05 PDFBibTeX XMLCite \textit{R. Jones} et al., Ill. J. Math. 38, No. 4, 521--553 (1994; Zbl 0831.28008)
Jefferies, Brian; Okada, Susumu Pettis integrals and singular integral operators. (English) Zbl 0931.47031 Ill. J. Math. 38, No. 2, 250-272 (1994). Reviewer: Lawrence H.Riddle (MR 94m:47103) MSC: 47G10 46G10 28B05 45P05 PDFBibTeX XMLCite \textit{B. Jefferies} and \textit{S. Okada}, Ill. J. Math. 38, No. 2, 250--272 (1994; Zbl 0931.47031)
Dai, Chaoshou; Taylor, S. James Defining fractals in a probability space. (English) Zbl 0797.60001 Ill. J. Math. 38, No. 3, 480-500 (1994). Reviewer: S.J.Taylor (Charlottesville) MSC: 60A10 28A80 PDFBibTeX XMLCite \textit{C. Dai} and \textit{S. J. Taylor}, Ill. J. Math. 38, No. 3, 480--500 (1994; Zbl 0797.60001)
Fremlin, D. H. The Henstock and McShane integrals of vector-valued functions. (English) Zbl 0797.28006 Ill. J. Math. 38, No. 3, 471-479 (1994). Reviewer: D.H.Fremlin (Colchester) MSC: 28B05 PDFBibTeX XMLCite \textit{D. H. Fremlin}, Ill. J. Math. 38, No. 3, 471--479 (1994; Zbl 0797.28006)
Fremlin, D. H.; Mendoza, J. On the integration of vector-valued functions. (English) Zbl 0790.28004 Ill. J. Math. 38, No. 1, 127-147 (1994). Reviewer: D.H.Fremlin (Colchester) and J.Mendoza (Madrid) MSC: 28B05 46G10 PDFBibTeX XMLCite \textit{D. H. Fremlin} and \textit{J. Mendoza}, Ill. J. Math. 38, No. 1, 127--147 (1994; Zbl 0790.28004) Full Text: arXiv
Reinhold-Larsson, Karin Almost everywhere convergence of convolution powers in \(L^ 1(X)\). (English) Zbl 0791.28012 Ill. J. Math. 37, No. 4, 666-679 (1993). Reviewer: K.Reinhold-Larsson (Columbus) MSC: 28D05 47A35 PDFBibTeX XMLCite \textit{K. Reinhold-Larsson}, Ill. J. Math. 37, No. 4, 666--679 (1993; Zbl 0791.28012)
Adams, Terrence Uniformly sweeping out does not imply mixing. (English) Zbl 0799.28009 Ill. J. Math. 37, No. 4, 525-536 (1993). Reviewer: G.R.Goodson (Towson) MSC: 28D05 PDFBibTeX XMLCite \textit{T. Adams}, Ill. J. Math. 37, No. 4, 525--536 (1993; Zbl 0799.28009)
Assani, I. The helical transform and the a.e. convergence of Fourier series. (English) Zbl 0798.28009 Ill. J. Math. 37, No. 1, 123-146 (1993). Reviewer: R.Cowen (Nairobi) MSC: 28D05 42A20 47A60 42A50 PDFBibTeX XMLCite \textit{I. Assani}, Ill. J. Math. 37, No. 1, 123--146 (1993; Zbl 0798.28009)
Zimmermann, Dieter Uniqueness in ergodic decomposition of invariant probabilities. (English) Zbl 0741.46003 Ill. J. Math. 36, No. 2, 325-344 (1992). Reviewer: D.Zimmermann (Kaiserslautern) MSC: 46A55 28E05 46E27 52A07 46S20 PDFBibTeX XMLCite \textit{D. Zimmermann}, Ill. J. Math. 36, No. 2, 325--344 (1992; Zbl 0741.46003)