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Complex networks describe a wide range of systems in nature and society. Frequently cited examples include the cell, a network of chemicals linked by chemical reactions, and the Internet, a network of routers and compute...

Information theory provides a constructive criterion for setting up probability distributions on the basis of partial knowledge, and leads to a type of statistical inference which is called the maximum-entropy estimate. ...

A general type of fluctuation-dissipation theorem is discussed to show that the physical quantities such as complex susceptibility of magnetic or electric polarization and complex conductivity for electric conduction are...

Statistical Power Analysis is a nontechnical guide to power analysis in research planning that provides users of applied statistics with the tools they need for more effective analysis. The Second Edition includes: * a c...

Materias / palabras clave: Power analysis; Statistical power; Statistical analysis; Statistics; Power (physics); Computer science; Mathematics; Psychology; Econometrics; Physics; Quantum mechanics

Materias / palabras clave: Statistical power; Power analysis; Statistical analysis; Psychology; Computer science; Power (physics); Econometrics; Data science; Statistics; Mathematics; Physics; Quantum mechanics

Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2021, Tutor: Josep Taron Roca

Abstract This paper discusses the applicability of statistics to a wide field of problems. Examples of simple and complex distributions are given.

There is a deep and useful connection between statistical mechanics (the behavior of systems with many degrees of freedom in thermal equilibrium at a finite temperature) and multivariate or combinatorial optimization (fi...

Materias / palabras clave: Complex network; Dynamical systems theory; Complex system; Topology (electrical circuits); Physics; Network science; Biological network; Theoretical computer science; Statistical mechanics; Evolving networks; Computer sc...

At the time of its publication this classic text, co-written by the Nobel Laureate Max Born, represented the definitive account of the subject and in many ways it still does. The book begins with a general discussion of ...

Starting from the screening in conductors, an algorithm for the accurate calculation of dielectric screening effects in solvents is presented, which leads to rather simple explicit expressions for the screening energy an...

Methods of evaluating and comparing the performance of diagnostic tests are of increasing importance as new tests are developed and marketed. When a test is based on an observed variable that lies on a continuous or grad...

We present ab initio quantum-mechanical molecular-dynamics simulations of the liquid-metal--amorphous-semiconductor transition in Ge. Our simulations are based on (a) finite-temperature density-functional theory of the o...

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Materias / palabras clave: Surface tension; Curvature; Capillary surface; Surface (topology); Mechanics; Transition point; Point (geometry); Classical mechanics; Mathematics; Geometry; Physics; Statistical physics

Previous attempts to combine Hartree–Fock theory with local density-functional theory have been unsuccessful in applications to molecular bonding. We derive a new coupling of these two theories that maintains their sim...

This paper presents a simple model for such processes as spin diffusion or conduction in the "impurity band." These processes involve transport in a lattice which is in some sense random, and in them diffusion is expecte...

Materias / palabras clave: Brownian motion; Diffusion; Statistical physics; Action (physics); Chemical reaction; Particle (ecology); Diffusion process; Classical mechanics; Motion (physics); Field (mathematics); Physics; Mechanics