Results 81 to 90 of about 64,955 (216)

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  

On entropy and Hausdorff dimension of measures defined through a non-homogeneous Markov process

, 2003
In this work we study the Hausdorff dimension of measures whose weight distribution satisfies a markov non-homogeneous property. We prove, in particular, that the Hausdorff dimensions of this kind of measures coincide with their lower R\'enyi dimensions (
Batakis, Athanasios
core  

Clinicopathological characteristics of patients with inoperable non‐small cell lung cancer harboring circulating NRF2 pathway mutations

The Journal of Pathology, Volume 269, Issue 2, Page 164-181, June 2026.
Abstract Lung cancer is the leading cause of global cancer‐related morbidity and mortality, with tobacco smoking as its strongest risk factor. Nuclear factor erythroid 2‐related factor 2 (NRF2) is a redox‐regulated transcription factor frequently dysregulated in non‐small cell lung cancer (NSCLC), leading to aggressive disease and resistance to therapy.
Jouni Härkönen, Satu Tiainen, Jouni Kujala, Linnea Muhonen, Ponnuswamy Mohanasundaram, Tuomas Tikkanen, Ina Pöhner, Tommi Patinen, Simone Adinolfi, Juha P Väyrynen, Päivi Auvinen, Arto Mannermaa, Petri Pölönen, Tuomas Rauramaa, Anna‐Liisa Levonen   +14 more
wiley   +1 more source

Hausdorff Dimension of Caloric Measure

American 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

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

Machine Learning for Local Detection of Separators in Three‐Dimensional Magnetic Fields

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 3, June 2026.
Abstract Magnetic reconnection is a major plasma phenomenon occurring in various key environments ranging from the Sun and near‐Earth space to astrophysical plasmas. While magnetic reconnection is relatively well‐understood under two‐dimensional (2D) settings, it remains challenging to characterize in three‐dimensional (3D) magnetic fields.
Fanni Franssila, Markku Alho, Ioanna Bouri, Daniel Holmberg, Minna Palmroth, Teemu Roos   +5 more
wiley   +1 more source

Hausdorff dimension of fermions on a random lattice

Nuclear Physics B
Geometric properties of lattice quantum gravity in two dimensions are studied numerically via Monte Carlo on Euclidean Dynamical Triangulations. A new computational method is proposed to simulate gravity coupled with fermions, which allows the study of ...
Mattia Varrone, William E.V. Barker
doaj   +1 more source

Lévy processes: Capacity and Hausdorff dimension

The Annals of Probability, 2005
Published at http://dx.doi.org/10.1214/009117904000001026 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Khoshnevisan, Davar, Xiao, Yimin
openaire   +4 more sources

An extended definition of Anosov representation for relatively hyperbolic groups

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley   +1 more source

Generalized Dimensions of Self-Affine Sets with Overlaps

Fractal and Fractional
Two 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