Found 166 Documents (Results 1–100)
IFS measures on generalized Bratteli diagrams. (English) Zbl 07840362
Jha, Sangita (ed.) et al., Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 797, 123-145 (2024).
On the radial growth of ballistic aggregation and other aggregation models. (English) Zbl 07832558
Reviewer: Nenad Manojlović (Faro)
Construction of \(p\)-energy and associated energy measures on Sierpiński carpets. (English) Zbl 07789107
A new perspective on the Sullivan dictionary via Assouad type dimensions and spectra. (English) Zbl 07780686
Planar substitutions to Lebesgue type space-filling curves and relatively dense fractal-like sets in the plane. (English) Zbl 07762424
Thin Loewner carpets and their quasisymmetric embeddings in \(S^2\). (English) Zbl 1542.30056
Reviewer: Scott Zimmerman (Marion)
A nonlinear projection theorem for Assouad dimension and applications. (English) Zbl 07731018
Reviewer: Haipeng Chen (Shenzhen)
Slow entropy of some combinatorial constructions. (English) Zbl 1520.37009
Reviewer: Thomas B. Ward (Durham)
Arbitrarily sparse spectra for self-affine spectral measures. (English) Zbl 1538.28018
Reviewer: Włodzimierz Ślęzak (Bydgoszcz)
Explicit Salem sets in \(\mathbb{R}^n\). (English) Zbl 1515.11071
Reviewer: Symon Serbenyuk (Kyïv)
The Lanford-Ruelle theorem for actions of sofic groups. (English) Zbl 1520.37013
Reviewer: William J. Satzer Jr. (St. Paul)
The Assouad spectrum of Kleinian limit sets and patterson-Sullivan measure. (English) Zbl 1520.28005
Reviewer: Peter Massopust (München)
Metric measure geometry: an approach to high-dimensional and infinite-dimensional spaces. (English) Zbl 1536.53096
Sugaku Expo. 35, No. 2, 221-241 (2022); translation from Sūgaku 71, No. 2, 159-177 (2019).
Reviewer: Thilo Kuessner (Eichstätt)
Effective aspects of Hausdorff and Fourier dimension. (English) Zbl 1523.03019
Reviewer: Guido Gherardi (Bologna)
Finite point configurations and the regular value theorem in a fractal setting. (English) Zbl 1527.42010
An incidence estimate and a Furstenberg type estimate for tubes in \(\mathbb{R}^2\). (English) Zbl 1512.52020
Reviewer: László A. Székely (Columbia)
Causal variational principles in the \(\sigma\)-locally compact setting: existence of minimizers. (English) Zbl 1494.49002
Reviewer: Alain Brillard (Riedisheim)
Separation properties for bi-Lipschitz iterated function systems. (English) Zbl 1511.28010
Reviewer: Haipeng Chen (Shenzhen)
Chaotic sets and Hausdorff dimension for Lüroth expansions. (English) Zbl 1494.11066
Reviewer: Symon Serbenyuk (Kyïv)
A survey of mass partitions. (English) Zbl 1505.55005
Harmonic analysis on graphs via Bratteli diagrams and path-space measures. (English) Zbl 1493.37016
Reviewer: Anatoliy Swishchuk (Calgary)
Hausdorff dimensions for shared endpoints of disjoint geodesics in the directed landscape. (English) Zbl 1496.60115
Approximation of partial differential equations on compact resistance spaces. (English) Zbl 1486.35402
Volumes spanned by \(k\)-point configurations in \(\mathbb{R}^d\). (English) Zbl 1528.28008
Reviewer: Shokhrukh Kholmatov (Wien)
MSC:
28A75
Rigidity, graphs and Hausdorff dimension. (English) Zbl 1532.52014
Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory IV. Selected papers based on the presentations at the CANT 2019 and 2020 workshops, New York, NY, USA, May 21–24, 2019 and virtual, June 1–5, 2020. Cham: Springer. Springer Proc. Math. Stat. 347, 73-106 (2021).
Reviewer: Mikhail Kabenyuk (Kemerovo)
Dynamics with fractals. (English) Zbl 1492.37051
Non-standard limits of graphs and some orbit equivalence invariants. (Limites non standard de graphes et quelques invariants d’équivalence orbitale.) (English. French summary) Zbl 1492.37006
Asymptotic dynamics of the solutions for a system of N-coupled fractional nonlinear Schrödinger equations. (English) Zbl 1502.35150
Functions of bounded mean oscillation and quasisymmetric mappings on spaces of homogeneous type. (English) Zbl 1478.42024
Coarse entropy. (English) Zbl 1482.37020
Reviewer: Takuma Imamura (Tokyo)
Properties of quasi-Assouad dimension. (English) Zbl 1479.28006
Reviewer: Peter Massopust (München)
An improved result for Falconer’s distance set problem in even dimensions. (English) Zbl 1476.28006
MSC:
28A80
An improvement on Furstenberg’s intersection problem. (English) Zbl 1479.11132
Reviewer: Symon Serbenyuk (Kyïv)
Almost sure Assouad-like dimensions of complementary sets. (English) Zbl 1497.28005
Reviewer: Lingmin Liao (Créteil)
Nonlinear elliptic equations with measure valued absorption potentials. (English) Zbl 1476.35109
Reviewer: Tobias König (Paris)
Toward a quasi-Möbius characterization of invertible homogeneous metric spaces. (English) Zbl 1472.54014
Reviewer: Loreno Heer (Zürich)
Uniqueness of the measure of maximal entropy for the standard map. (English) Zbl 1478.37007
Reviewer: Bruno Santiago (Rio de Janeiro)
Gordon’s conjectures 1 and 2: Pontryagin-van Kampen duality in the hyperfinite setting. (English) Zbl 1486.22006
Reviewer: Isaac Goldbring (Irvine)
On the Assouad dimension of projections. (English) Zbl 1465.28008
Reviewer: Jörg Neunhäuserer (Goslar)
MSC:
28A80
On martingale methods and some Besicovitch type sets. (English) Zbl 1483.60063
Reviewer: Nikolaos Fountoulakis (Birmingham)
A spectral triple for a solenoid based on the Sierpinski gasket. (English) Zbl 1466.28007
Reviewer: George Stoica (Saint John)
Concentration of measure, classification of submeasures, and dynamics of \(L_0\). (English) Zbl 1475.60048
Reviewer: Fraser Daly (Edinburgh)
Measure-preserving rank one transformations. (English. Russian original) Zbl 1465.37004
Trans. Mosc. Math. Soc. 2020, 229-259 (2020); translation from Tr. Mosk. Mat. O.-va 81, No. 2, 281-318 (2020).
Fractal dimension and the persistent homology of random geometric complexes. (English) Zbl 1450.28007
Reviewer: Peter Massopust (München)
Invariant measures for Cantor dynamical systems. (English) Zbl 1447.37004
Moree, Pieter (ed.) et al., Dynamics: topology and numbers. Conference, Max Planck Institute for Mathematics, Bonn, Germany, July 2–6, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 744, 259-295 (2020).
Reviewer: Hasan Akin (Gaziantep)
Assouad dimension and local structure of self-similar sets with overlaps in \(\mathbb{R}^d\). (English) Zbl 1441.28007
Reviewer: George Stoica (Saint John)
\( \sigma\)-lacunary actions of Polish groups. (English) Zbl 1458.03029
Reviewer: Miroslav Repický (Košice)
Attainable values for the Assouad dimension of projections. (English) Zbl 1444.28003
Reviewer: Krzysztof Leśniak (Torún)
On the upper regularity dimensions of measures. (English) Zbl 1439.28011
Reviewer: Thomas B. Ward (Leeds)
Weak tangent and level sets of Takagi functions. (English) Zbl 1437.28017
Reviewer: Symon Serbenyuk (Kyiv)
On Falconer’s distance set problem in the plane. (English) Zbl 1430.28001
Reviewer: George Stoica (Saint John)
Multiple mixing and disjointness for time changes of bounded-type Heisenberg nilflows. (Mélange multiple et disjonction pour LES reparamétrisations des flots nilpotents de type borné.) (English. French summary) Zbl 1436.37039
Reviewer: Marta Macho Stadler (Leioa)
Superlinearity of geodesic length in 2D critical first-passage percolation. (English) Zbl 1446.82034
Sidoravicius, Vladas (ed.), Sojourns in probability theory and statistical physics. II. Brownian web and percolation, a festschrift for Charles M. Newman. Singapore: Springer; Shanghai: NYU Shanghai. Springer Proc. Math. Stat. 299, 101-122 (2019).
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).
On a universal Borel adic space. (English. Russian original) Zbl 1435.28017
J. Math. Sci., New York 240, No. 5, 515-524 (2019); translation from Zap. Nauchn. Semin. POMI 468, 24-38 (2018).
Dimension growth for iterated sumsets. (English) Zbl 1429.28013
Reviewer: Peter Massopust (München)
Improvement on 2-chains inside thin subsets of Euclidean spaces. (English) Zbl 1427.28001
Reviewer: Peter Massopust (München)
On the Hausdorff dimension of microsets. (English) Zbl 1428.28013
Reviewer: Symon Serbenyuk (Kyiv)
Geometry of measures in real dimensions via Hölder parameterizations. (English) Zbl 1481.28006
Reviewer: Władysław Wilczyński (Łódź)
Group actions, the Mattila integral and applications. (English) Zbl 1464.28004
Reviewer: Almaz Butaev (Montréal)
Dimensions of triangle sets. (English) Zbl 1412.52013
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