Results 101 to 110 of about 9,340 (278)
The 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 Decomposable Measures Induced by Metrics
Journal of Applied Mathematics, 2012 We prove that for a given normalized compact metric space it can induce a σ-max-superdecomposable measure, by constructing a Hausdorff pseudometric on its power set.
Dong Qiu, Weiquan Zhang
doaj +1 more source
Hausdorff measure functions [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 1973 In many contributions to the theory of Hausdorff measures, it has been the practice to place certain restrictions on the measure functions used. These restrictions usually ensure both the monotonicity and the continuity of the functions. The purpose of this work is to find conditions under which the restrictions of monotonicity and continuity may be ...
openaire +2 more sources
Hausdorff measure of escaping sets of certain meromorphic functions [PDF]
, 2018 Baranski and Schubert showed that for a meromorphic function f in Eremenko-Lyubich class B of finite order and for which infinity is an asymptotic value, the Hausdorff dimension of its escaping set, denoted by dim I(f), is two. Assume that for f in B the
Li, Wenli
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Computational and Systems Oncology, Volume 6, Issue 1, December 2026.ABSTRACT Breast cancer is still a serious problem in the world arena, where its early and prompt detection is the most important factor in improving patient prognosis and survival. The use of traditional diagnostic techniques, such as imaging (e.g., mammography and ultrasound) and subsequent histopathological examination, is the mainstay, which ...
Likhon Chandra Sarkar +6 more
wiley +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
On the Computation of the Hausdorff Dimension of the Walrasian Economy: Addendum
In a recent paper, Dominique (2009) argues that for a Walrasian economy with m consumers and n goods, the equilibrium set of prices becomes a fractal attractor due to continuous destructions and creations of excess demands. The paper also posits that the
Dominique, C-Rene
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Potential theory of signed Riesz Kernels: capacity and Hausdorff measure
, 2004 In this paper, we study the natural capacity γα related to the Riesz kernels x/∣x∣1 + α in ℝn, where 0 < α < n. For noninteger α, an unexpected behaviour arises: for 0 < α < 1, compact sets in ℝn with finite α-Hausdorff measure have zero γα capacity.
Prat, Laura
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On Oriented Colourings of Graphs on Surfaces
Journal of Graph Theory, Volume 112, Issue 4, Page 357-369, August 2026.ABSTRACT For an oriented graph G, the least number of colours required to oriented colour G is called the oriented chromatic number of G and denoted χ o ( G ). For a non‐negative integer g let χ o ( g ) be the least integer such that χ o ( G ) ≤ χ o ( g ) for every oriented graph G with Euler genus at most g.
Alexander Clow
wiley +1 more source
Hausdorff Measure of Critical Values
openLa tesi tratta il paper di A. Sard del 1965, "Hausdorff Measure of Critical Images on Banach Manifolds". Il paper tratta un raffinamento del teorema di Morse-Sard, e mostra che, presa una funzione C^k tra una varietà e una varietà di Banach, se k è
EUGENELO, TIZIANA
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