Results 101 to 110 of about 66,461 (287)
Entropy rigidity for cusped Hitchin representations
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
wiley +1 more source
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley +1 more source
Hausdorff dimension and quasisymmetric mappings.
MATHEMATICA SCANDINAVICA, 1989 An increasing embedding f of an interval of the real line is quasisymmetric if there is \(q\geq 1\) such that \(1/q\leq (f(x+t)- f(x))/(f(x)-f(x-t))\leq q\) for all distinct x, \(x+t\), x-t. The paper gives an example of a quasisymmetric map f of the unit interval I with the property that there is a measurable subset Y of I such that the Hausdorff ...
openaire +3 more sources
Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
wiley +1 more source
Nonemptiness of the Alpha‐Core
Journal of Public Economic Theory, Volume 28, Issue 1, February 2026.ABSTRACT We prove nonemptiness of the α $\alpha $‐core for balanced games with nonordered preferences, extending and generalizing in several aspects the results of Scarf (1971), Border (1984), Florenzano (1989), Yannelis (1991b), and Kajii (1992). In particular, we answer an open question in Kajii (1992) regarding the applicability of the nonemptiness ...
V. Filipe Martins‐da‐Rocha +1 more
wiley +1 more source
Strain, Volume 62, Issue 1, February 2026.ABSTRACT Digital image correlation (DIC) is a widely used experimental technique for measuring full‐field deformation, but its application to complex scenarios involving large deformations, discontinuities, or intricate geometries is often hampered by the need for manual region of interest (ROI) definition.
Jeffrey Leu +5 more
wiley +1 more source
Dimension estimates of the attractor for the dissipative quantum Zakharov equations
Journal of Inequalities and Applications, 2019 The finite dimension estimates of Hausdorff dimension and fractal dimension of the attractor of the dissipative quantum Zakharov equations are mainly studied by using the estimates of the Lyapunov exponents. The main results on the attractor are obtained
Donglong Li, Yanfeng Guo
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Finite (Hausdorff) dimension of plants and roots as indicator of ontogeny
Revista de la Facultad de Ciencias Agrarias, 2019 The architecture of plants responds to endogenous processes and to the influence of environmental factors. The allometric study of architecture has been a challenge for biology. We define a new finite (Hausdorff) dimension of plants, that considers both
Juan M. Alonso +3 more
doaj
Heisenberg Hausdorff Dimensionof Besicovitch Sets
Analysis and Geometry in Metric Spaces, 2014 We consider (bounded) Besicovitch sets in the Heisenberg group and prove that Lp estimates forthe Kakeya maximal function imply lower bounds for their Heisenberg Hausdorff dimension.
Venieri Laura
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