Related papers: Combinatorial Dynamics
Sometimes we obtain attractive results when associating facts to simple elements. The goal of this work is to introduce a possible alternative in the study of the dynamics of rational maps.
The aim of these notes is to provide a reasonably short and "hands-on" introduction to the differential calculus on associative algebras over a field of characteristic zero. Following a suggestion of Ginzburg's we call the resulting theory…
This is brief and hopefully friendly, with basic notions, a few different perspectives, and references with more information in various directions.
This is a very brief introduction to Wilson's Renormalization Group with emphasis on mathematical developments.
This is an expository article about the topological theory of digital images, and a gamification of a research project.
Contents: 1. Pomeron physics 2. Multiplicities 3. Single-particle distributions 4. Correlations and fluctuations 5. Special final states and interaction mechanisms 6. Cosmic rays and forward detectors
This paper gives a short introduction into the metric theory of spaces with dilations.
We revisit stochastic thermodynamics for a system with discrete energy states in contact with a heat and particle reservoir.
In this expository paper, we provide the readers with an overview of Dennis Sullivan's major contributions to the area of Dynamical Systems.
Visualization of turbulent flows is a powerful tool to help understand the turbulence dynamics and induced transport. However, it does not provide a quantitative description of the observed structures. In this paper, an approach to…
I give an introduction to the basic concepts of fluid dynamics as applied to the dynamical description of relativistic nuclear collisions.
We survey some of the connections linking complex dynamics to other fields of mathematics and science. We hope to show that complex dynamics is not just interesting on its own but also has value as an applicable theory.
This is an account of the theory of inverse semigroups, assuming only that the reader knows the basics of semigroup theory.
The first part of the paper is an introduction to the theory of probabilistic concurrent systems under a partial order semantics. Key definitions and results are given and illustrated on examples. The second part includes contributions. We…
This is an introduction to the algebraic aspect of Teichm\"uller dynamics, with a focus on its interplay with the geometry of moduli spaces of curves as well as recent advances in the field.
This is a survey on permutation classes for the upcoming book Handbook of Enumerative Combinatorics.
This brief note, written for non-specialists, aims at drawing an introductive overview of the multiverse issue.
Lecture-notes: introducing and discussing basics on axion electrodynamics with application in the calculation of the images generated by an electric (or a magnetic) charge located close to an interface ordinary insulator-topological…
We review how an algebraic formulation for the dynamics of a physical system allows to describe a reduction procedure for both classical and quantum evolutions.
This is an introduction to gerbes for topologists, with emphasis on non-abelian cohomology.