Results 91 to 100 of about 4,572 (182)

Kolmogorov-Sinai and Bekenstein-Hawking entropies

, 2007
8 pages, no figures; factors in Eqns.
openaire   +2 more sources

Hyperbolicity and Southern Hemisphere Persistent Synoptic Events

Journal of Advances in Modeling Earth Systems, Volume 17, Issue 4, April 2025.
Abstract Predicting the occurrence of coherent blocking structures in synoptic weather systems remains a challenging problem that has taxed the numerical weather prediction community for decades. The underlying factor behind this difficulty is the so‐called “loss of hyperbolicity” known to be linked with the alignment of dynamical vectors ...
Andrew R. Axelsen, Terence J. O’Kane, Courtney R. Quinn, Andrew P. Bassom   +3 more
wiley   +1 more source

Multi-delay complexity collapse

Physical Review Research, 2020
Increasing the number of delays in nonlinear dynamical systems is generally assumed to lead to higher complexity, but “distributed delay” systems with an infinite number of delays to lesser complexity.
S. Kamyar Tavakoli, André Longtin
doaj   +1 more source

Long‐Term Clinical Outcomes of Treatments for In‐Stent Chronic Total Occlusions: A Real‐World Study Based on Different Strategies of Revascularization

MedComm – Future Medicine, Volume 4, Issue 1, March 2025.
This first retrospective cohort study on long‐term in‐stent chronic total occlusion (IS‐CTO) outcomes after prior drug‐eluting stent (DES) found that, although drug‐coated balloon (DCB) offered attractive short‐to‐midterm results by avoiding extra metallic layers, it had higher adverse outcomes than DES long‐term.
Zhuoran Yang, Jiasheng Yin, Yiqing Hu, Li Zhu, You Zhou, Yaqi Zhang, Nirupama Krishnamurthi, Jieyu Jiang, Wenxian Zhou, Nitin Barman, Hao Lu, Junbo Ge   +11 more
wiley   +1 more source

Kolmogorov-Sinai entropy for dilute systems of hard particles in equilibrium [PDF]

Physical Review E, 2005
In an equilibrium system, the Kolmogorov-Sinai entropy, $h_{\mathrm{KS}}$, equals the sum of the positive Lyapunov exponents, the exponential rates of divergence of infinitesimal perturbations. Kinetic theory may be used to calculate the Kolmogorov-Sinai entropy for dilute gases of many hard disks or spheres in equilibrium at low number density $n ...
openaire   +4 more sources

Lewy body co‐pathology in Alzheimer's disease and primary age‐related tauopathy contributes to differential neuropathological, cognitive, and brain atrophy patterns

Alzheimer's &Dementia, Volume 21, Issue 1, January 2025.
Abstract INTRODUCTION Alzheimer's disease (AD) co‐pathology with Lewy bodies (LB) is frequent and influences clinical manifestations and outcomes. Its significance in primary age‐related tauopathy (PART) is unknown. We investigated the influence of LB on cognition and brain atrophy in AD and PART.
Francisco C. Almeida, Alexandra Santos, Tiago Jesus, Ana Coelho, Miguel Quintas‐Neves, Kathryn Gauthreaux, Charles N. Mock, Walter A. Kukull, John F. Crary, Tiago Gil Oliveira   +9 more
wiley   +1 more source

Tropical Limits of Probability Spaces, Part I: The Intrinsic Kolmogorov-Sinai Distance and the Asymptotic Equipartition Property for Configurations [PDF]

, 2017
The entropy of a finite probability space $X$ measures the observable cardinality of large independent products $X^{\otimes n}$ of the probability space.
Matveev, Rostislav, Portegies, Jacobus W.   +1 more
core   +1 more source

Chaos for Liouville probability densities

, 1995
Using the method of symbolic dynamics, we show that a large class of classical chaotic maps exhibit exponential hypersensitivity to perturbation, i.e., a rapid increase with time of the information needed to describe the perturbed time evolution of the ...
A. J. Lichtenberg, A. N. Kolmogorov, A. N. Kolmogorov, A. Peres, B. O. Koopman, C. E. Shannon, C. E. Shannon, C. E. Shannon, C. M. Caves, C. M. Caves, C. M. Caves, Carlton M. Caves, D. S. Ornstein, D. Welsh, E. Borel, E. Borel, E. T. Jaynes, E. T. Jaynes, E. T. Jaynes, G. J. Chaitin, H. Spohn, J. Ford, J. P. Crutchfield, M. V. Berry, R. Landauer, R. Landauer, R. Schack, R. Schack, R. Schack, Rüdiger Schack, V. I. Arnold, V. M. Alekseev, W. H. Zurek, W. H. Zurek   +33 more
core   +1 more source

Superdensity operators for spacetime quantum mechanics

Journal of High Energy Physics, 2018
We introduce superdensity operators as a tool for analyzing quantum information in spacetime. Superdensity operators encode spacetime correlation functions in an operator framework, and support a natural generalization of Hilbert space techniques and ...
Jordan Cotler, Chao-Ming Jian, Xiao-Liang Qi, Frank Wilczek   +3 more
doaj   +1 more source

Entropy potential and Lyapunov exponents

, 1997
According to a previous conjecture, spatial and temporal Lyapunov exponents of chaotic extended systems can be obtained from derivatives of a suitable function: the entropy potential.
Alessandro Torcini, Antonio Politi, Aranson I. S., Giacomelli G., Lepri S., Lepri S., Politi A., Ruelle D., Ruelle D., Stefano Lepri   +9 more
core   +2 more sources