Results 31 to 40 of about 17,983 (296)

Hausdorff Dimension and Topological Entropies of a Solenoid

Entropy, 2020
The purpose of this paper is to elucidate the interrelations between three essentially different concepts: solenoids, topological entropy, and Hausdorff dimension.
Andrzej Biś, Agnieszka Namiecińska
doaj   +1 more source

The Topological Entropy Conjecture

Mathematics, 2021
For a compact Hausdorff space X, let J be the ordered set associated with the set of all finite open covers of X such that there exists nJ, where nJ is the dimension of X associated with ∂. Therefore, we have Hˇp(X;Z), where 0≤p≤n=nJ.
Lvlin Luo
doaj   +1 more source

A topological kagome magnet in high entropy form

Communications Physics, 2022
Kagome materials have recently attracted significant attention due to their ability to house both topological and magnetic phases. Here, the authors report a high-entropy Kagome magnet that exhibits an anomalous Hall effect, indicating the nontrivial ...
Lujin Min, Milos Sretenovic, Thomas W. Heitmann, Tyler W. Valentine, Rui Zu, Venkatraman Gopalan, Christina M. Rost, Xianglin Ke, Zhiqiang Mao   +8 more
doaj   +1 more source

Entropy as a Topological Operad Derivation

Entropy, 2021
We share a small connection between information theory, algebra, and topology—namely, a correspondence between Shannon entropy and derivations of the operad of topological simplices.
Tai-Danae Bradley
doaj   +1 more source

Subshifts on Infinite Alphabets and Their Entropy

Entropy, 2020
We analyze symbolic dynamics to infinite alphabets by endowing the alphabet with the cofinite topology. The topological entropy is shown to be equal to the supremum of the growth rate of the complexity function with respect to finite subalphabets.
Sharwin Rezagholi
doaj   +1 more source

AdS-Schwarzschild-like black hole thermodynamics: Loop quantum gravity impact on topology and universality

Nuclear Physics B
This study investigates the thermodynamic topology of AdS-Schwarzschild-like black holes within the framework of Loop Quantum Gravity (LQG) by employing various non-extensive entropy formulations. These include Rényi entropy, Barrow entropy, LQG entropy,
Saeed Noori Gashti, Ankit Anand, Mohammad Ali S. Afshar, Mohammad Reza Alipour, Yassine Sekhmani, Behnam Pourhassan, İzzet Sakallı, Jafar Sadeghi   +7 more
doaj   +1 more source

Developmental programmes drive cellular plasticity, disease progression and therapy resistance in lung adenocarcinoma

Molecular Oncology, EarlyView.
This study shows that lung adenocarcinomas exploit developmental branching morphogenesis to acquire a therapy resistant basal‐like tumour cell state. This process was found to be regulated by combined TP53 loss‐of‐function and type‐I interferon signalling, identifying a novel axis for biomarker and therapeutic target discovery.
Kamila J Bienkowska, Stephany Gallardo, Nur S. Zainal, Leena Arora, Matthew Ellis, Maria‐Antoinette Lopez, Judith Austine, Sai Pittla, Serena J Chee, Aiman Alzetani, Emily C Shaw, Christian H Ottensmeier, Gareth J Thomas, Christopher J Hanley   +13 more
wiley   +1 more source

The Entropy of Co-Compact Open Covers

Entropy, 2013
Co-compact entropy is introduced as an invariant of topological conjugation for perfect mappings defined on any Hausdorff space (compactness and metrizability are not necessarily required).
Steven Bourquin, Tonghui Wang, Guo Wei, Yangeng Wang, Zheng Wei   +4 more
doaj   +1 more source

Topological transitions in weakly monitored free fermions

SciPost Physics, 2023
We study a free fermion model where two sets of non-commuting non-projective measurements stabilize area-law entanglement scaling phases of distinct topological order.
Graham Kells, Dganit Meidan, Alessandro Romito
doaj   +1 more source

Entropy - A Guide for the Perplexed [PDF]

, 2010
Entropy is ubiquitous in physics, and it plays important roles in numerous other disciplines ranging from logic and statistics to biology and economics.
Werndl, Charlotte, Charlotte Werndl, Frigg, Roman, Roman Frigg   +3 more
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