Related papers: Numerical Experiments
Methods and techniques of the theory of nonlinear dynamical systems and patterns can be useful in astrophysical applications. Some works on the subjects of dynamical astronomy, stellar pulsation and variability, as well as spatial…
Experimental results on hadronic structures are discussed in view of our physics understanding. Achievements and challenges are noted.
Direct observations of gravitational waves will open in the near future new windows on the Universe. Among the expected sources, instabilities of rotating compact astrophysical objects are waited to be detected with some impatience as this…
Computer experiments suggest some conjectures about Hankel determinants of convolution powers of Catalan numbers. Unfortunately, for most of them I have no proofs. I would like to present them anyway hoping that someone finds them…
Observations of the Sun and of Sun-like stars provide access to different aspects of stellar magnetic activity that, when combined, help us piece together a more comprehensive picture than can be achieved from only the solar or the stellar…
A brief review of "Holographic Space-Time" in the light of the seminal contributions of Jacob Bekenstein.
Understanding stellar composition is fundamental not only to our comprehension of the galaxy, especially chemical evolution, but it can also shed light on the interior structure and mineralogy of exoplanets, which are formed from the same…
This article is a short introduction to Combinatorial Dynamics for topologists.
In this short note we summarize the main results of our paper [hep-ph/0510055] and reply to a recent comment [hep-ph/0511174] on that paper.
These notes provide an elementary (and incomplete) sketch of the objects and ideas involved in monstrous and umbral moonshine. They were the basis for a plenary lecture at the 18th International Congress on Mathematical Physics, and for a…
An introductory review of Classical Statistical Mechanics
We discuss analogies between number theory and the theory of dynamical systems on spaces with a one-codimensional foliation. The emphasis is on comparing the "explicit formulas" of analytic number theory with certain dynamical Lefschetz…
This is a set of lecture notes basd on the lectures on cosmological dynamics given by E. Bertschinger at Les Houches in August 1993. The contents include elementary mechanics in cosmology, Eulerian and Lagrangian fluid dynamics, hot dark…
Invited contribution to the inaugural issue of {\em Physics Educator.}
We provide an introduction to selected recent advances in the mathematical understanding of Einstein's theory of gravitation.
In these lectures I introduce the basics of HERA physics and give a survey of the major aspects, discussing in somewhat more depth the subject of low $x$ physics.
I give simple elementary proofs for some well-known Hankel determinants and their q-analogues.
This short note contains elementary evaluations of some Euler sums.
Lecture-notes: introducing and discussing basic kp concepts related to bands interaction at an elementary level to beginners
This course reviews the rotational properties of non-degenerate stars as observed from the protostellar stage to the end of the main sequence. It includes an introduction to the various observational techniques used to measure stellar…