Results 81 to 90 of about 3,791,283 (277)
The Hausdorff dimension of the CLE gasket [PDF]
, 2012 The conformal loop ensemble $\mathrm{CLE}_{\kappa}$ is the canonical conformally invariant probability measure on noncrossing loops in a proper simply connected domain in the complex plane.
Jason Miller, Nike Sun, D. Wilson
semanticscholar +1 more source
Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds
Bulletin of the London Mathematical Society, EarlyView.Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
wiley +1 more source
Hausdorff dimension of metric spaces and Lipschitz maps onto cubes [PDF]
, 2012 We prove that a compact metric space (or more generally an analytic subset of a complete separable metric space) of Hausdorff dimension bigger than k can always be mapped onto a k-dimensional cube by a Lipschitz map.
T. Keleti, A. M'ath'e, O. Zindulka
semanticscholar +1 more source
Is every product system concrete?
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract Is every product system of Hilbert spaces over a semigroup P$P$ concrete, that is, isomorphic to the product system of an E0$E_0$‐semigroup over P$P$? The answer is no if P$P$ is discrete, cancellative and does not embed in a group. However, we show that the answer is yes for a reasonable class of semigroups.
S. Sundar
wiley +1 more source
GGS-groups: Order of congruence quotients and Hausdorff dimension [PDF]
, 2011 If G is a GGS-group defined over a p-adic tree, where p is an odd prime, we calculate the order of the congruence quotients $G_n=G/\Stab_G(n)$ for every n.
G. A. Fern'andez-Alcober +1 more
semanticscholar +1 more source
Attractors for an Energy‐Damped Viscoelastic Plate Equation
Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13864-13881, 30 September 2025.ABSTRACT In this paper, we consider a class of non‐autonomous beam/plate equations with an integro‐differential damping given by a possibly degenerate memory and an energy damping given by a nonlocal ε$$ \varepsilon $$‐perturbed coefficient. For each ε>0$$ \varepsilon >0 $$, we show that the dynamical system generated by the weak solutions of the ...
V. Narciso +3 more
wiley +1 more source
Singular dimension of spaces of real functions
Le Matematiche, 2007 Let X be a space of measurable real functions defined on a fixed open set Ω ⊆ R^N . It is natural to define the singular dimension of X as the supremum of Hausdorff dimension of singular sets of all functions in X.We say that f ∈ X is a maximally ...
Darko Žubrinić
doaj
Generalized Dimensions of Self-Affine Sets with Overlaps
Fractal and FractionalTwo decades ago, Ngai and Wang introduced a well-known finite type condition (FTC) on the self-similar iterated function system (IFS) with overlaps and used it to calculate the Hausdorff dimension of self-similar sets. In this paper, inspired by Ngai and
Guanzhong Ma, Jun Luo, Xiao Zhou
doaj +1 more source
The Hausdorff dimension of the visible sets of connected compact sets
, 2003 For a compact subset K of the plane and a point x, we define the visible part of K from x to be the set K_x={u\in K : [x,u]\cap K={u}}. (Here [x,u] denotes the closed line segment joining x to u.) In this paper, we use energies to show that if K is a ...
O'Neil, Toby C
core +4 more sources
Journal of Applied Clinical Medical Physics, Volume 26, Issue 9, September 2025.Abstract Background The poor soft tissue resolution of four‐dimensional computed tomography (4D‐CT) limits its utility in delineating liver cancer target volumes. Purpose To compare the consistency between four‐dimensional magnetic resonance imaging (4D‐MRI) using T1‐weighted (T1w) radial stack‐of‐stars (SOS) gradient echo (GRE) sequences and 4D‐CT in ...
Shuoyan Chen +11 more
wiley +1 more source