Found 107 Documents (Results 1–100)
Mixed-norm of orthogonal projections and analytic interpolation on dimensions of measures. (English) Zbl 07858186
Nonempty interior of configuration sets via microlocal partition optimization. (English) Zbl 07819895
On the dimension of exceptional parameters for nonlinear projections, and the discretized Elekes-Rónyai theorem. (English) Zbl 07807596
Kaufman and Falconer estimates for radial projections and a continuum version of Beck’s theorem. (English) Zbl 07807594
A generalization of O’Neil’s theorems for projections of measures and dimensions. (English) Zbl 07821903
On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane. (English) Zbl 07810678
Incidence problems in harmonic analysis, geometric measure theory, and ergodic theory. Abstracts from the workshop held June 4–9, 2023. (English) Zbl 1528.42001
A nonlinear projection theorem for Assouad dimension and applications. (English) Zbl 07731018
Reviewer: Haipeng Chen (Shenzhen)
Overlapping iterated function systems from the perspective of metric number theory. (English) Zbl 1539.11001
Memoirs of the American Mathematical Society 1428. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6440-0/pbk; 978-1-4704-7544-4/ebook). v, 95 p. (2023).
Reviewer: Franz Lemmermeyer (Jagstzell)
Transversal families of nonlinear projections and generalizations of Favard length. (English) Zbl 1527.28002
Reviewer: Władysław Wilczyński (Łódź)
Improved bounds for restricted projection families via weighted Fourier restriction. (English) Zbl 1504.42025
Microlocal decoupling inequalities and the distance problem on Riemannian manifolds. (English) Zbl 1511.53045
Reviewer: Lakehal Belarbi (Mostaganem)
Bernoulli convolutions with Garsia parameters in \((1,\sqrt{2}]\) have continuous density functions. (English) Zbl 1516.42007
Integrability of orthogonal projections, and applications to Furstenberg sets. (English) Zbl 1523.28005
Reviewer: Peter Pal Varju (Cambridge)
Invariant measures for iterated function systems with inverses. (English) Zbl 1515.28016
Reviewer: Wen-hui Ai (Changsha)
Typical absolute continuity for classes of dynamically defined measures. (English) Zbl 1532.37040
Reviewer: Nina Snigireva (Galway)
Hausdorff dimension exceptional set estimates for projections, sections and intersections. (English) Zbl 1502.28002
Abakumov, Evgeny (ed.) et al., Extended abstracts fall 2019. Spaces of analytic functions: approximation, interpolation, sampling, SAFAIS 2019 program, Centre de Recerca Matemàtica, Barcelona, Spain, October–December 2019. Cham: Birkhäuser. Trends Math., Res. Perspect. CRM Barc. 12, 129-136 (2021).
MSC:
28A78
Hausdorff dimension of intersections with planes and general sets. (English) Zbl 1484.28004
MSC:
28A75
On Hausdorff dimension of radial projections. (English) Zbl 1480.28007
Reviewer: Antoine Julia (Paris)
Super-exponential condensation without exact overlaps. (English) Zbl 1461.28001
Reviewer: Bilel Selmi (Monastir)
Orthogonal projections of discretized sets. (English) Zbl 1455.28007
Reviewer: Symon Serbenyuk (Kyïv)
An a.e. lower bound for Hausdorff dimension under vertical projections in the Heisenberg group. (English) Zbl 1446.28008
The exact power law for Buffon’s needle landing near some random Cantor sets. (English) Zbl 1437.28018
Reviewer: Daniele Puglisi (Catania)
Intersections of projections and slicing theorems for the isotropic Grassmannian and the Heisenberg group. (English) Zbl 1436.28003
Reviewer: George Stoica (Saint John)
On Falconer’s distance set problem in the plane. (English) Zbl 1430.28001
Reviewer: George Stoica (Saint John)
Hausdorff dimension, projections, intersections, and Besicovitch sets. (English) Zbl 1450.28004
Aldroubi, Akram (ed.) et al., New trends in applied harmonic analysis. Volume 2. Harmonic analysis, geometric measure theory, and applications. Collected papers based on courses given at the 2017 CIMPA school, Buenos Aires, Argentina, July 31 – August 11, 2017. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 129-157 (2019).
Improvement on 2-chains inside thin subsets of Euclidean spaces. (English) Zbl 1427.28001
Reviewer: Peter Massopust (München)
Group actions, the Mattila integral and applications. (English) Zbl 1464.28004
Reviewer: Almaz Butaev (Montréal)
On the Hausdorff dimension of pinned distance sets. (English) Zbl 1414.28011
Reviewer: Hans Weber (Udine)
On Furstenberg’s intersection conjecture, self-similar measures, and the \(L^q\) norms of convolutions. (English) Zbl 1426.11079
Reviewer: Takao Komatsu (Hangzhou)
An \(L^2\)-identity and pinned distance problem. (English) Zbl 1416.28005
Reviewer: Michael Dymond (Innsbruck)
Pinned distance problem, slicing measures, and local smoothing estimates. (English) Zbl 1412.28004
Reviewer: Peter Massopust (München)
Projection theorems in hyperbolic space. (English) Zbl 1412.28006
Reviewer: Enrico Zoli (Firenze)
Recent progress on Bernoulli convolutions. (English) Zbl 1403.28010
Mehrmann, Volker (ed.) et al., European congress of mathematics. Proceedings of the 7th ECM (7ECM) congress, Berlin, Germany, July 18–22, 2016. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-176-7/hbk; 978-3-03719-676-2/ebook). 847-867 (2018).
A sharp exceptional set estimate for visibility. (English) Zbl 1387.28006
Reviewer: Boris A. Kats (Kazan)
MSC:
28A75
Marstrand-type theorems for the counting and mass dimensions in \(\mathbb{Z}\). (English) Zbl 1371.05027
Strong Marstrand theorems and dimensions of sets formed by subsets of hyperplanes. (English) Zbl 1365.28003
Reviewer: Hans Weber (Udine)
On the Hausdorff and packing measures of slices of dynamically defined sets. (English) Zbl 1345.28021
Reviewer: Yuang-Ling Ye (Guangzhou)
MSC:
28A80
Hausdorff dimension, intersections of projections and exceptional plane sections. (English) Zbl 1345.28008
Reviewer: Boris A. Kats (Kazan)
MSC:
28A75
Dimensions of projections of sets on Riemannian surfaces of constant curvature. (English) Zbl 1345.28010
Reviewer: Enrico Zoli (Firenze)
MSC:
28A78
Absolute continuity of self-similar measures, their projections and convolutions. (English) Zbl 1334.28013
Reviewer: Boris A. Kats (Kazan)
Sixty years of fractal projections. (English) Zbl 1338.28007
Bandt, Christoph (ed.) et al., Fractal geometry and stochastics V. Selected papers of the 5th conference, Tabarz, Germany, March 24–29, 2014. Cham: Springer (ISBN 978-3-319-18659-7/hbk; 978-3-319-18660-3/ebook). Progress in Probability 70, 3-25 (2015).
A generalization of Marstrand’s theorem for projections of Cartesian products. (English) Zbl 1321.28019
Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian. (English) Zbl 1358.37117
On the packing dimension and category of exceptional sets of orthogonal projections. (English) Zbl 1320.28009
Reviewer: Boris A. Kats (Kazan)
Hausdorff dimension estimates for restricted families of projections in \(\mathbb{R}^3\). (English) Zbl 1317.28020
Reviewer: Anna Savvopoulou (South Bend)
Ergodicity of unipotent flows and Kleinian groups. (English) Zbl 1318.37001
Reviewer: Jayadev Athreya (Urbana)
Exceptional sets of projections, unions of \(k\)-planes and associated transforms. (English) Zbl 1310.28004
Reviewer: Boris A. Kats (Kazan)
MSC:
28A78
Exact dimensionality and projections of random self-similar measures and sets. (English) Zbl 1305.28010
Reviewer: Anna Savvopoulou (South Bend)
On self-similar sets with overlaps and inverse theorems for entropy. (English) Zbl 1337.28015
Reviewer: Peter Massopust (München)
On the exceptional set for absolute continuity of Bernoulli convolutions. (English) Zbl 1305.28012
Reviewer: Makoto Mori (Tokyo)
The entropy of a special overlapping dynamical system. (English) Zbl 1290.37017
Reviewer: Steve Pederson (Atlanta)
Multiparameter projection theorems with applications to sums-products and finite point configurations in the Euclidean setting. (English) Zbl 1272.28005
Bilyk, Dmitriy (ed.) et al., Recent advances in harmonic analysis and applications. In honor of Konstantin Oskolkov on the occasion of his 65th birthday. Based on the AMS sectional meeting, Georgia Southern University, Statesboro, GA, USA, March 11–13, 2011. Berlin: Springer (ISBN 978-1-4614-4564-7/hbk; 978-1-4614-4565-4/ebook). Springer Proceedings in Mathematics & Statistics 25, 93-103 (2013).
MSC:
28A80
Projections of measures invariant under the geodesic flow. (English) Zbl 1268.53091
Barral, Julien (ed.) et al., Further developments in fractals and related fields. Mathematical foundations and connections. Outgrowth of the 2nd international conference on fractals and related fields, Porquerolles Island, France, June 2011. New York, NY: Birkhäuser/Springer (ISBN 978-0-8176-8399-3/hbk; 978-0-8176-8400-6/ebook). Trends in Mathematics, 153-160 (2013).
Besicovitch-Federer projection theorem and geodesic flows on Riemann surfaces. (English) Zbl 1259.53077
When does a Bernoulli convolution admit a spectrum? (English) Zbl 1266.42012
Reviewer: Wlodzimierz Ślȩzak (Bydgoszcz)
The generalized Erdős-Falconer distance problems in vector spaces over finite fields. (English) Zbl 1252.52013
Projection and slicing theorems in Heisenberg groups. (English) Zbl 1260.28007
Reviewer: Peibiao Zhao (Nanjing)
Pinned distance sets, \(k\)-simplices, Wolff’s exponent in finite fields and sum-product estimates. (English) Zbl 1269.11011
Reviewer: Lillian Beatrix Pierce (Bonn)
Visible parts of fractal percolation. (English) Zbl 1251.28007
MSC:
28A80
Multifractal structure of Bernoulli convolutions. (English) Zbl 1248.11054
Reviewer: Bernd O. Stratmann (Bremen)
Stationary measures and equidistribution for orbits of nonabelian semigroups on the torus. (English) Zbl 1239.37005
Reviewer: Nikolaj M. Glazunov (Kyïv)
Exceptional sets for self-similar fractals in Carnot groups. (English) Zbl 1195.22005
Reviewer: Thomas B. Ward (Norwich)
Refinement equations and spline functions. (English) Zbl 1187.41005
Reviewer: Martin D. Buhmann (Gießen)
Branching random walk with exponentially decreasing steps, and stochastically self-similar measures. (English) Zbl 1162.60023
Reviewer: Valentin Topchii (Omsk)
Resonance between Cantor sets. (English) Zbl 1159.37005
Reviewer: Vladimir Răsvan (Craiova)
Exceptional sets for self-affine fractals. (English) Zbl 1158.28002
Reviewer: Maria Moszyńska (Warszawa)
MSC:
28A80
Erdös distance problem in vector spaces over finite fields. (English) Zbl 1145.11083
Reviewer: Robert Fitzgerald (Carbondale)
Refinable functions with non-integer dilations. (English) Zbl 1128.42018
Reviewer: Manfred Tasche (Rostock)
On Falconer’s distance set conjecture. (English) Zbl 1141.42007
Reviewer: Delfina Roux (Milano)
MSC:
42B10
The limited Rademacher functions and Bernoulli convolutions associated with Pisot numbers. (English) Zbl 1078.11062
Reviewer: Tian You Hu (Green Bay)
Prevalence. (English) Zbl 1111.28014
Reviewer: Sergey Lüdkovsky (Moskva)
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