Results 1 to 10 of about 2,518 (108)

Using Ulam's method to calculate entropy and other dynamical invariants

Nonlinearity, 1999
Summary: Using a special form of Ulam's method, we estimate the measure-theoretic entropy of a triple \((M,T,\mu)\), where \(M\) is a smooth manifold, \(T\) is a \(C^{1+y}\) uniformly hyperbolic map, and \(\mu\) is the unique physical measure of \(T\). With a few additional calculations, we also obtain numerical estimates of (i) the physical measure \(\
Gary Froyland
exaly   +4 more sources

Generalized Entropy Production in Collisionless Plasma Flows and Turbulence [PDF]

Physical Review X, 2022
Collisionless plasmas exhibit nonthermal and anisotropic particle distributions after being energized; as a consequence, they enter a state of low Boltzmann-Gibbs (BG) entropy relative to the thermal state.
Vladimir Zhdankin
doaj   +2 more sources

Precision microstate counting for the entropy of wrapped M5-branes [PDF]

Journal of High Energy Physics, 2020
We study the large N expansion of twisted partition functions of 3d N $$ \mathcal{N} $$ = 2 superconformal field theories arising from N M5-branes wrapped on a hyperbolic 3- manifold, M 3. Via the 3d-3d correspondence, the partition functions of these 3d
Dongmin Gang, Nakwoo Kim, Leopoldo A. Pando Zayas   +2 more
doaj   +3 more sources

Degree-Based Entropy of Some Classes of Networks

Mathematics, 2023
A topological index is a number that is connected to a chemical composition in order to correlate a substance’s chemical makeup with different physical characteristics, chemical reactivity, or biological activity.
S. Nagarajan, Muhammad Imran, P. Mahesh Kumar, K. Pattabiraman, Muhammad Usman Ghani   +4 more
doaj   +2 more sources

Entropy Related to K-Banhatti Indices via Valency Based on the Presence of C₆H₆ in Various Molecules

Molecules, 2023
Entropy is a measure of a system’s molecular disorder or unpredictability since work is produced by organized molecular motion. Shannon’s entropy metric is applied to represent a random graph’s variability.
Muhammad Usman Ghani, Francis Joseph H. Campena, Muhammad Kashif Maqbool, Jia-Bao Liu, Sanaullah Dehraj, Murat Cancan, Fahad M. Alharbi   +6 more
doaj   +2 more sources

Multi-boundary entanglement in Chern-Simons theory and link invariants [PDF]

Journal of High Energy Physics, 2017
We consider Chern-Simons theory for gauge group G at level k on 3-manifolds M n with boundary consisting of n topologically linked tori. The Euclidean path integral on M n defines a quantum state on the boundary, in the n-fold tensor product of the torus
Vijay Balasubramanian, Jackson R. Fliss, Robert G. Leigh, Onkar Parrikar   +3 more
doaj   +2 more sources

AN EFFICIENT AND ACCURATE METHOD FOR THE ESTIMATION OF ENTROPY AND OTHER DYNAMICAL INVARIANTS FOR PIECEWISE AFFINE CHAOTIC MAPS

International Journal of Bifurcation and Chaos, 2009
In this paper, we discuss an efficient iterative method for the estimation of the chief dynamical invariants of chaotic systems based on stochastically stable piecewise affine maps (e.g. the invariant measure, the Lyapunov exponent as well as the Kolmogorov–Sinai entropy).
ADDABBO T., FORT A., PAPINI D., ROCCHI S., VIGNOLI V.   +4 more
openaire   +5 more sources

Modified Gravity with Nonminimal Curvature–Matter Couplings: A Framework for Gravitationally Induced Particle Creation [PDF]

Universe
Modified gravity theories with a nonminimal coupling between curvature and matter offer a compelling alternative to dark energy and dark matter by introducing an explicit interaction between matter and curvature invariants.
Francisco S. N. Lobo, Tiberiu Harko, Miguel A. S. Pinto   +2 more
doaj   +2 more sources

Entropies and Degree-Based Topological Indices of Generalized Sierpiński Graphs

Fractal and Fractional
Fractals are geometric patterns that appear self-similar across all length scales and are constructed by repeating a single unit on a regular basis. Entropy, as a core thermodynamic function, is an extension based on information theory (such as Shannon ...
Si-Ao Xu, Jia-Dong Si, Jia-Bao Liu
doaj   +2 more sources

Three invariants of strange attractors derived through hypergeometric entropy [PDF]

Chaos, Solitons & Fractals, 2022
A new description of strange attractor systems through three geometrical and dynamical invariants is provided. They are the correlation dimension ($\mathcal{D}$) and the correlation entropy ($\mathcal{K}$), both having attracted attention over the past ...
K. Okamura
semanticscholar   +1 more source