Results 91 to 100 of about 72,312 (306)

On the Centred Hausdorff Measure of the Sierpinski Gasket [PDF]

open access: green, 2023
Marta Llorente   +2 more
openalex   +1 more source

Hausdorff measure of quasicircles

open access: yesAdvances in Mathematics, 2012
15 ...
Prause, István   +2 more
openaire   +4 more sources

Changes in corticospinal excitability in response to mediolateral gait instability

open access: yesExperimental Physiology, EarlyView.
Abstract Unpredictable gait disturbances, particularly in the mediolateral direction, pose a significant challenge to stability and are a common contributor to falls. Although the corticospinal tract is critical for gait and postural control, its response to such instabilities remains unclear.
Raven O. Huiberts   +2 more
wiley   +1 more source

Structural determinants of re‐entrant drivers in atrial fibrillation: insights from digital twins derived from 3D micrometre‐resolution imaging of human heart

open access: yesThe Journal of Physiology, EarlyView.
Abstract figure legend Digital heart models of human donor atria with cardiac co‐morbidities revealed that regions with AWT variation, aligned myofibres adjacent to disorganised zones and fibrotic borders promoted the localisation and stability of RDs. AWT had a global influence, whereas fibre orientation and fibrosis exerted chamber‐specific regional ...
Anuradha Kulathilaka   +8 more
wiley   +1 more source

On typical Markov operators acting on Borel measures

open access: yesAbstract and Applied Analysis, 2005
It is proved that, in the sense of Baire category, almost every Markov operator acting on Borel measures is asymptotically stable and the Hausdorff dimension of its invariant measure is equal to zero.
Tomasz Szarek
doaj   +1 more source

On planar self-similar sets with a dense set of rotations

open access: yes, 2006
We prove that if $E$ is a planar self-similar set with similarity dimension $d$ whose defining maps generate a dense set of rotations, then the $d$-dimensional Hausdorff measure of the orthogonal projection of $E$ onto any line is zero.
Eroglu, Kemal Ilgar
core  

ASL 4D MRA Intracranial Vessel Segmentation With Deep Learning U‐Nets

open access: yesMagnetic Resonance in Medicine, Volume 95, Issue 4, Page 2384-2396, April 2026.
ABSTRACT Purpose To propose a spatio‐temporal U‐Net based network (4DST) that exploits both spatial and dynamic information while avoiding memory‐intensive 4D convolutional layers for ASL‐based non‐contrast enhanced 4‐dimensional MR angiography (4D MRA) vessel segmentation.
Sang Hun Chung   +7 more
wiley   +1 more source

Hausdorff Dimension of Caloric Measure

open access: yesAmerican Journal of Mathematics
abstract: We examine caloric measures $\omega$ on general domains in $\RR^{n+1}=\RR^n\times\RR$ (space $\times$ time) from the perspective of geometric measure theory. On one hand, we give a direct proof of a consequence of a theorem of Taylor and Watson (1985) that the lower parabolic Hausdorff dimension of $\omega$ is at least $n$ and $\omega\ll ...
Badger, Matthew, Genschaw, Alyssa
openaire   +3 more sources

Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 762-822, March 2026.
Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
wiley   +1 more source

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