Statistical complexity and disequilibrium
WebFeb 23, 2024 · We statistically deal with two distinct quantum interactions embedded within an exactly solvable model that mimics some well known nuclear effects. By recourse to finite temperature statistical quantifiers we describe how these two fermion–fermion interactions compete and strongly influence each other. WebJun 3, 2011 · Statistical complexity measures (SCM) are the composition of two ingredients: (i) entropies and (ii) distances in probability-space. In consequence, SCMs provide a simultaneous quantification of the randomness and the correlational structures present in the system under study.
Statistical complexity and disequilibrium
Did you know?
WebAs explained in the former sections, the LMC statistical measure of complexity identifies the entropy or information stored in a system and its distance to the equilibrium probability distribution, the disequilibrium, as the two ingredients giving the correct asymptotic properties of a well-behaved measure of complexity. In fact, it vanishes ... WebMar 1, 2024 · The general result is that it is a statistical indicator that can yield different and perhaps deeper insights than purely dynamic ones. Indeed, the statistical complexity C is a quantifier that rivals entropy S, somehow, in the sense that it grasps correlation structures in the manner that S grasps disorder.
WebJul 16, 2024 · The first idea about complexity measure started in computer science and was proposed by Kolmogorov, calculated similarly to the informational entropy. Kolmogorov measure when applied to natural phenomena, presents higher values associated with disorder and lower to order. WebBy recourse to the concept of Statistical Complexity we study here the classical-quantum transition in a special system that represents the matter-field interaction. Our work …
WebSep 21, 2024 · The main restriction to LMC and SDL complexity measures is due to Crutchfield, Feldman, and Shalizi, as they argue that an equilibrium system can be structurally complex [ 12 ], but this problem could be solved by weighting order and disorder, according to the specific problem to be analyzed. WebAug 26, 2024 · More complex methods include those that model the linkage disequilibrium structure, incorporate functional information, weigh the results of multiple discovery cohorts in proportion to genome-wide ...
Web6 1 Statistical Complexity and Fisher-Shannon Information. Applications 1.1 A Statistical Measure of Complexity. Some Applications This century has been told to be the century of complexity [1]. Nowadays the ques-tion “what is complexity?” is circulating over the scientific crossroads of physics,
WebNov 1, 2024 · This research studies information properties, such as complexity and disequilibrium, in the dipole-type Hamiltonian mean-field model. A fundamental analytical assessment is the partition... raven themed giftsWebJun 3, 2024 · Using the entropic quantifier called statistical complexity, we investigate the interplay between (1) pairing interactions between fermions, can be viewed as analogous with superconductivity based on Cooper pairs; (2) rotations of the system as a whole around an axis; and (3) thermal excitations. Two different ordering processes are at work: … raven the horse from free reinWebJun 11, 2024 · The statistical characterization of deterministic sources of apparent randomness performed by many authors during the intervening years has shed much light into the intrincacies of dynamical behavior by describing the unpredictability of dynamical systems using such tools as metric entropy, Lyapunov exponents, and fractal dimension … raven themeWebDec 1, 2024 · Statistical complexity Cis a quantifier that rivals entropy Ssomehow, in the sense that it grasps correlation structures in the manner that Sgrasps disorder. It was introduced, in what many people regard as a great leap forward, in Ref. [7], by appealing to a kind of “distance” to the maximum entropy instance. raven theme wcwWebNAFLD has a complex and multifaceted biochemical metabolic process. ... with blood metabolites. Firstly, we set the significance threshold at 1.00E-5 (p < 1 × 10 −5) and the linkage disequilibrium (LD) r 2 < 0.1 within 500 KB. Considering the limited number of ... Statistical analysis. All MR analyses were performed using the “TwoSampleMR ... raven theme songWeb1.2 A Statistical Complexity Measure 9 CRYSTAL IDEAL GAS INFORMATION = H C = H*D = COMPLEXITY DISEQUILIBRIUM = D Fig. 1.1 Sketch of the intuitivenotion of … raven therapyWebThen, from this probability distribution, the different statistical magnitudes (Shannon entropy, disequilibrium, statistical complexity and Fisher-Shannon entropy) are calculated. In order to calculate the statistical complexity C=H·D, with H=e S, we use the discrete versions of the Shannon entropy S and disequilibrium D: (1.23) (1.24) raven theme team