Sah, Ashwin Diagonal Ramsey via effective quasirandomness. (English) Zbl 1512.05389 Duke Math. J. 172, No. 3, 545-567 (2023). MSC: 05D10 05C55 PDFBibTeX XMLCite \textit{A. Sah}, Duke Math. J. 172, No. 3, 545--567 (2023; Zbl 1512.05389) Full Text: DOI arXiv
Bergelson, Vitaly; Richter, Florian K. Dynamical generalizations of the prime number theorem and disjointness of additive and multiplicative semigroup actions. (English) Zbl 1514.37018 Duke Math. J. 171, No. 15, 3133-3200 (2022). Reviewer: Tomas Persson (Lund) MSC: 37A44 37A30 37H15 11J71 11A41 PDFBibTeX XMLCite \textit{V. Bergelson} and \textit{F. K. Richter}, Duke Math. J. 171, No. 15, 3133--3200 (2022; Zbl 1514.37018) Full Text: DOI arXiv
Harel, Matan; Mousset, Frank; Samotij, Wojciech Upper tails via high moments and entropic stability. (English) Zbl 1500.60002 Duke Math. J. 171, No. 10, 2089-2192 (2022). Reviewer: Yilun Shang (Newcastle upon Tyne) MSC: 60C05 60F10 05C80 PDFBibTeX XMLCite \textit{M. Harel} et al., Duke Math. J. 171, No. 10, 2089--2192 (2022; Zbl 1500.60002) Full Text: DOI arXiv
Ellis, David; Lifshitz, Noam Approximation by juntas in the symmetric group, and forbidden intersection problems. (English) Zbl 1490.05262 Duke Math. J. 171, No. 7, 1417-1467 (2022). MSC: 05D05 05A05 PDFBibTeX XMLCite \textit{D. Ellis} and \textit{N. Lifshitz}, Duke Math. J. 171, No. 7, 1417--1467 (2022; Zbl 1490.05262) Full Text: DOI arXiv Link
Litvak, Alexander E.; Tikhomirov, Konstantin E. Singularity of sparse Bernoulli matrices. (English) Zbl 1495.15049 Duke Math. J. 171, No. 5, 1135-1233 (2022). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 15B52 15A42 15A09 15A10 46B06 60B20 60C05 PDFBibTeX XMLCite \textit{A. E. Litvak} and \textit{K. E. Tikhomirov}, Duke Math. J. 171, No. 5, 1135--1233 (2022; Zbl 1495.15049) Full Text: DOI arXiv
Nguyen, Oanh; Vu, Van Random polynomials: central limit theorems for the real roots. (English) Zbl 1482.60041 Duke Math. J. 170, No. 17, 3745-3813 (2021). Reviewer: Andriy Olenko (Melbourne) MSC: 60F05 30C15 26C10 PDFBibTeX XMLCite \textit{O. Nguyen} and \textit{V. Vu}, Duke Math. J. 170, No. 17, 3745--3813 (2021; Zbl 1482.60041) Full Text: DOI arXiv
Campos, Marcelo; Mattos, Letícia; Morris, Robert; Morrison, Natasha On the singularity of random symmetric matrices. (English) Zbl 1467.60005 Duke Math. J. 170, No. 5, 881-907 (2021). MSC: 60B20 05D40 15B52 05C15 15A18 PDFBibTeX XMLCite \textit{M. Campos} et al., Duke Math. J. 170, No. 5, 881--907 (2021; Zbl 1467.60005) Full Text: DOI arXiv
Bary-Soroker, Lior; Kozma, Gady Irreducible polynomials of bounded height. (English) Zbl 1447.11112 Duke Math. J. 169, No. 4, 579-598 (2020). Reviewer: Paulius Drungilas (Vilnius) MSC: 11R09 12E05 26C05 PDFBibTeX XMLCite \textit{L. Bary-Soroker} and \textit{G. Kozma}, Duke Math. J. 169, No. 4, 579--598 (2020; Zbl 1447.11112) Full Text: DOI arXiv Euclid Backlinks: MO
Hough, Robert D.; Nielsen, Pace P. Covering systems with restricted divisibility. (English) Zbl 1441.11005 Duke Math. J. 168, No. 17, 3261-3295 (2019). Reviewer: Štefan Porubský (Praha) MSC: 11A07 11B25 11K99 PDFBibTeX XMLCite \textit{R. D. Hough} and \textit{P. P. Nielsen}, Duke Math. J. 168, No. 17, 3261--3295 (2019; Zbl 1441.11005) Full Text: DOI arXiv
Lindenstrauss, Elon; Varjú, Péter P. Random walks in the group of Euclidean isometries and self-similar measures. (English) Zbl 1451.60011 Duke Math. J. 165, No. 6, 1061-1127 (2016). MSC: 60B15 22D40 28A80 37A30 60G30 PDFBibTeX XMLCite \textit{E. Lindenstrauss} and \textit{P. P. Varjú}, Duke Math. J. 165, No. 6, 1061--1127 (2016; Zbl 1451.60011) Full Text: DOI arXiv Euclid
Bukh, Boris; Matoušek, Jiří Erdős-Szekeres-type statements: Ramsey function and decidability in dimension 1. (English) Zbl 1301.05351 Duke Math. J. 163, No. 12, 2243-2270 (2014). MSC: 05D10 52C45 PDFBibTeX XMLCite \textit{B. Bukh} and \textit{J. Matoušek}, Duke Math. J. 163, No. 12, 2243--2270 (2014; Zbl 1301.05351) Full Text: DOI arXiv Euclid
Conlon, David; Fox, Jacob; Sudakov, Benny Two extensions of Ramsey’s theorem. (English) Zbl 1280.05083 Duke Math. J. 162, No. 15, 2903-2927 (2013). MSC: 05C55 05D10 05D40 05C15 PDFBibTeX XMLCite \textit{D. Conlon} et al., Duke Math. J. 162, No. 15, 2903--2927 (2013; Zbl 1280.05083) Full Text: DOI arXiv Link
Gromov, Misha; Guth, Larry Generalizations of the Kolmogorov-Barzdin embedding estimates. (English) Zbl 1261.53041 Duke Math. J. 161, No. 13, 2549-2603 (2012). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 53C23 57R40 57Q35 PDFBibTeX XMLCite \textit{M. Gromov} and \textit{L. Guth}, Duke Math. J. 161, No. 13, 2549--2603 (2012; Zbl 1261.53041) Full Text: DOI arXiv Euclid
Nguyen, Hoi H. Inverse Littlewood-Offord problems and the singularity of random symmetric matrices. (English) Zbl 1276.15019 Duke Math. J. 161, No. 4, 545-586 (2012). Reviewer: Costică Moroşanu (Iaşi) MSC: 15B52 11B30 11M50 60B20 15A63 PDFBibTeX XMLCite \textit{H. H. Nguyen}, Duke Math. J. 161, No. 4, 545--586 (2012; Zbl 1276.15019) Full Text: DOI arXiv Euclid
Cavendish, William; Parlier, Hugo Growth of the Weil-Petersson diameter of moduli space. (English) Zbl 1244.32008 Duke Math. J. 161, No. 1, 139-171 (2012). Reviewer: Jayadev Athreya (Urbana) MSC: 32G15 30F60 PDFBibTeX XMLCite \textit{W. Cavendish} and \textit{H. Parlier}, Duke Math. J. 161, No. 1, 139--171 (2012; Zbl 1244.32008) Full Text: DOI arXiv
Bourgain, Jean; Dilworth, Stephen; Ford, Kevin; Konyagin, Sergei; Kutzarova, Denka Explicit constructions of RIP matrices and related problems. (English) Zbl 1236.94027 Duke Math. J. 159, No. 1, 145-185 (2011). MSC: 94A12 11T23 11B13 11B30 41A46 94B60 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Duke Math. J. 159, No. 1, 145--185 (2011; Zbl 1236.94027) Full Text: DOI arXiv Backlinks: MO
Simon, Barry Weak convergence of CD kernels and applications. (English) Zbl 1158.33003 Duke Math. J. 146, No. 2, 305-330 (2009). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 60B10 PDFBibTeX XMLCite \textit{B. Simon}, Duke Math. J. 146, No. 2, 305--330 (2009; Zbl 1158.33003) Full Text: DOI arXiv Link
Dolgopyat, Dmitry; Szász, Domokos; Varjú, Tamás Recurrence properties of planar Lorentz process. (English) Zbl 1136.37022 Duke Math. J. 142, No. 2, 241-281 (2008). MSC: 37D50 60F05 PDFBibTeX XMLCite \textit{D. Dolgopyat} et al., Duke Math. J. 142, No. 2, 241--281 (2008; Zbl 1136.37022) Full Text: DOI Link
Costello, Kevin P.; Tao, Terence; Vu, Van Random symmetric matrices are almost surely nonsingular. (English) Zbl 1110.15020 Duke Math. J. 135, No. 2, 395-413 (2006). Reviewer: Vadim I. Serdobol’skij (Moskva) MSC: 15B52 05D40 60E15 PDFBibTeX XMLCite \textit{K. P. Costello} et al., Duke Math. J. 135, No. 2, 395--413 (2006; Zbl 1110.15020) Full Text: DOI arXiv
Blomer, Valentin; Granville, Andrew Estimates for representation numbers of quadratic forms. (English) Zbl 1135.11020 Duke Math. J. 135, No. 2, 261-302 (2006). Reviewer: Scott D. Kominers (Bethesda) MSC: 11E16 11N56 PDFBibTeX XMLCite \textit{V. Blomer} and \textit{A. Granville}, Duke Math. J. 135, No. 2, 261--302 (2006; Zbl 1135.11020) Full Text: DOI
Sudakov, B.; Szemerédi, E.; Vu, V. H. On a question of Erdős and Moser. (English) Zbl 1155.11346 Duke Math. J. 129, No. 1, 129-155 (2005). MSC: 11P70 05D05 11B75 PDFBibTeX XMLCite \textit{B. Sudakov} et al., Duke Math. J. 129, No. 1, 129--155 (2005; Zbl 1155.11346) Full Text: DOI
Wooley, Trevor D. On Vu’s thin basis theorem in Waring’s problem. (English) Zbl 1047.11094 Duke Math. J. 120, No. 1, 1-34 (2003). Reviewer: George Greaves (Cardiff) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{T. D. Wooley}, Duke Math. J. 120, No. 1, 1--34 (2003; Zbl 1047.11094) Full Text: DOI
Chang, Mei-Chu A polynomial bound in Freiman’s theorem. (English) Zbl 1035.11048 Duke Math. J. 113, No. 3, 399-419 (2002). Reviewer: Alain Plagne (Palaiseau) MSC: 11P70 11B13 11B25 PDFBibTeX XMLCite \textit{M.-C. Chang}, Duke Math. J. 113, No. 3, 399--419 (2002; Zbl 1035.11048) Full Text: DOI
Andrews, George E.; Jiménez-Urroz, Jorge; Ono, Ken \(q\)-series identities and values of certain \(L\)-functions. (English) Zbl 1005.11048 Duke Math. J. 108, No. 3, 395-419 (2001). Reviewer: Tom M.Apostol (Pasadena) MSC: 11P82 11M06 PDFBibTeX XMLCite \textit{G. E. Andrews} et al., Duke Math. J. 108, No. 3, 395--419 (2001; Zbl 1005.11048) Full Text: DOI
Vu, Van H. On a refinement of Waring’s problem. (English) Zbl 1013.11063 Duke Math. J. 105, No. 1, 107-134 (2000). Reviewer: George Greaves (Cardiff) MSC: 11P05 11B13 11P55 11D85 60C05 PDFBibTeX XMLCite \textit{V. H. Vu}, Duke Math. J. 105, No. 1, 107--134 (2000; Zbl 1013.11063) Full Text: DOI
Peres, Yuval; Schlag, Wilhelm Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions. (English) Zbl 0961.42007 Duke Math. J. 102, No. 2, 193-251 (2000). Reviewer: Terence Tao (Los Angeles) MSC: 42A85 28A78 PDFBibTeX XMLCite \textit{Y. Peres} and \textit{W. Schlag}, Duke Math. J. 102, No. 2, 193--251 (2000; Zbl 0961.42007) Full Text: DOI
Aizenman, M.; Burchard, A. Hölder regularity and dimension bounds for random curves. (English) Zbl 0944.60022 Duke Math. J. 99, No. 3, 419-453 (1999). Reviewer: J.Franchi (Paris) MSC: 60D05 28A75 60K35 82B43 PDFBibTeX XMLCite \textit{M. Aizenman} and \textit{A. Burchard}, Duke Math. J. 99, No. 3, 419--453 (1999; Zbl 0944.60022) Full Text: DOI arXiv
Bilu, Yuri Limit distribution of small points on algebraic tori. (English) Zbl 0918.11035 Duke Math. J. 89, No. 3, 465-476 (1997). Reviewer: P.Vojta (Berkeley) MSC: 11G35 14G25 14G05 11G25 11J68 PDFBibTeX XMLCite \textit{Y. Bilu}, Duke Math. J. 89, No. 3, 465--476 (1997; Zbl 0918.11035) Full Text: DOI
Brown, G.; Moran, W.; Pollington, A. D. Normality with respect to powers of a base. (English) Zbl 0887.11033 Duke Math. J. 88, No. 2, 247-265 (1997). Reviewer: M.M.Dodson (Heslington) MSC: 11K16 11K06 PDFBibTeX XMLCite \textit{G. Brown} et al., Duke Math. J. 88, No. 2, 247--265 (1997; Zbl 0887.11033) Full Text: DOI
Bombieri, Enrico; Granville, Andrew; Pintz, János Squares in arithmetic progressions. (English) Zbl 0771.11034 Duke Math. J. 66, No. 3, 369-385 (1992). Reviewer: D.Wolke (Freiburg i.Br.) MSC: 11N25 11B25 14G05 11N69 PDFBibTeX XMLCite \textit{E. Bombieri} et al., Duke Math. J. 66, No. 3, 369--385 (1992; Zbl 0771.11034) Full Text: DOI
Bañuelos, Rodrigo; Klemes, Ivo; Moore, Charles N. An analogue for harmonic functions of Kolmogorov’s law of the iterated logarithm. (English) Zbl 0666.31002 Duke Math. J. 57, No. 1, 37-68 (1988). Reviewer: Ü.Kuran MSC: 31A05 PDFBibTeX XMLCite \textit{R. Bañuelos} et al., Duke Math. J. 57, No. 1, 37--68 (1988; Zbl 0666.31002) Full Text: DOI
Hildebrand, Adolf; Tenenbaum, Gérald On the number of prime factors of an integer. (English) Zbl 0655.10036 Duke Math. J. 56, No. 3, 471-501 (1988). Reviewer: A.Ivić MSC: 11N05 PDFBibTeX XMLCite \textit{A. Hildebrand} and \textit{G. Tenenbaum}, Duke Math. J. 56, No. 3, 471--501 (1988; Zbl 0655.10036) Full Text: DOI
Lawler, Gregory F. Gaussian behavior of loop-erased self-avoiding random walk in four dimensions. (English) Zbl 0664.60068 Duke Math. J. 53, 249-269 (1986). MSC: 60G50 82B20 PDFBibTeX XMLCite \textit{G. F. Lawler}, Duke Math. J. 53, 249--269 (1986; Zbl 0664.60068) Full Text: DOI
Murty, M. Ram; Murty, V. Kumar Prime divisors of Fourier coefficients of modular forms. (English) Zbl 0537.10026 Duke Math. J. 51, 57-76 (1984). Reviewer: T. M. Apostol MSC: 11F30 11F11 PDFBibTeX XMLCite \textit{M. R. Murty} and \textit{V. K. Murty}, Duke Math. J. 51, 57--76 (1984; Zbl 0537.10026) Full Text: DOI