Results 11 to 20 of about 41,266 (173)
Axioms, 2023 This expository paper advocates an approach to physics in which “typicality” is identified with a suitable form of algorithmic randomness. To this end various theorems from mathematics and physics are reviewed.
Klaas Landsman
doaj +1 more source
Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling [PDF]
QuantumA key conjecture about the evolution of complex quantum systems towards an ergodic steady state, known as scrambling, is that this process acquires universal features when it is most efficient.
Tara Kalsi +2 more
doaj +1 more source
On the specification property and synchronisation of unique $q$-expansions
, 2020 Given a positive integer $M$ and $q \in (1, M+1]$ we consider expansions in base $q$ for real numbers $x \in \left[0, {M}/{q-1}\right]$ over the alphabet $\{0, \ldots, M\}$.
Barrera, Rafael Alcaraz
core +1 more source
Two dimensional kicked quantum Ising model: dynamical phase transitions
New Journal of Physics, 2014 Using an efficient one and two qubit gate simulator operating on graphical processing units, we investigate ergodic properties of a quantum Ising spin $1/2$ model on a two-dimensional lattice, which is periodically driven by a δ -pulsed transverse ...
C Pineda, T Prosen, E Villaseñor
doaj +1 more source
Angewandte Chemie, EarlyView.This study explores the origins of life by linking prebiotic chemistry, the emergence of information‐carrying molecules such as RNA and proteins, and philosophical questions about consciousness. The study emphasizes the role of molecular evolution in the Central Dogma and provides insights into the chemical origins of biology and the basis of life's ...
Harald Schwalbe +5 more
wiley +2 more sources
Multiple recurrence and large intersections for abelian group actions
Discrete Analysis, 2021 Multiple recurrence and large intersections for abelian group actions, Discrete Analysis 2021:18, 91 pp. In 1975, Szemerédi proved his famous theorem that asserts that for every positive integer $k$ and every $\delta>0$ there exists $n$ such that every ...
Ethan Ackelsberg +2 more
doaj +1 more source
Emergent Homeostasis and Degeneracy From Multi‐Dimensional Attractors [PDF]
BioessaysBiological systems maintain homeostasis—stability to perturbations. Control theory (right) describes this as designed regulatory circuits that maintain set points. We propose that homeostasis can emerge from collective dynamics that generate stable attracting manifolds (left).
Biswas K, Salman H, Brenner N.
europepmc +2 more sources
Andrzej Lasota's selected results [PDF]
Opuscula Mathematica, 2008 In this article we recall Andrzej Lasota's selected results which either indicated new directions of research, or layed the foundations for new approaches, or solved interesting problems. The area of mathematical interests of Professor Andrzej Lasota was
Józef Myjak
doaj
A Brief Review of Generalized Entropies
Entropy, 2018 Entropy appears in many contexts (thermodynamics, statistical mechanics, information theory, measure-preserving dynamical systems, topological dynamics, etc.) as a measure of different properties (energy that cannot produce work, disorder, uncertainty ...
José M. Amigó +2 more
doaj +1 more source
Discrete Dynamics in Nature and Society, 1999 The language of nonlinear dynamical systems and ergodic theory is used to present a theoretical framework for the study of mind. The basic space X consists of the collection of all brain images (clusters of activated neurons) that are relevant to ...
Abraham Boyarsky
doaj +1 more source