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Lecture-notes: introducing and discussing basic kp concepts related to bands interaction at an elementary level to beginners

Mesoscale and Nanoscale Physics · Physics 2021-06-28 Josep Planelles

We study a model of colored multiwebs, which generalizes the dimer model to allow each vertex to be adjacent to \(n_v\) edges. These objects can be formulated as a random tiling of a graph with partial dimer covers. We examine the case of a…

Probability · Mathematics 2025-09-30 Christina Meng

These notes have been prepared as reading material for the mini-course that the author gave at IMS, National University of Singapore, as part of the "Summer school on the moduli space of Higgs bundles".

Algebraic Geometry · Mathematics 2026-03-09 Laura P. Schaposnik

This is an introduction to small divisors problems. The material treated in this book was brought together for a PhD course I tought at the University of Pisa in the spring of 1999. Here is a Table of Contents: Part I One Dimensional Small…

Dynamical Systems · Mathematics 2007-05-23 S. Marmi

Recently delivered lectures on Self-Referential Mathematics, [2], at the Department of Mathematics and Applied Mathematics, University of Pretoria, are briefly presented. Comments follow on the subject, as well as on Inconsistent…

General Mathematics · Mathematics 2009-05-05 Elemer E Rosinger

These notes give an introduction to the Gabriel-Roiter measure of a finite dimensional algebra. They are based on a series of four lectures at the "Advanced School and Conference on Representation Theory and Related Topics" in Trieste…

Representation Theory · Mathematics 2011-07-14 Henning Krause

Submitted to F. Schweitzer (ed.), Microscopic Models for Economic Dynamics, Lecture notes in physics, Springer, Berlin-Heidelberg 2002.kiel.tex

Statistical Mechanics · Physics 2016-08-31 E. Samanidou , E. Zschischang , D. Stauffer , T. Lux

These are notes from elementary lectures given in the summer of 2013 at the YMSC center at Tsinghua University in Beijing.

Dynamical Systems · Mathematics 2016-06-01 John Erik Fornæss

These are notes of a series of lectures on sieves, presented during the Special Activity in Analytic Number Theory, at the Max-Planck Institute for Mathematics in Bonn, during the period January--June 2002.

Number Theory · Mathematics 2007-05-23 D. R. Heath-Brown

Summary talk at ICHEP 2002, Amsterdam, July 2002. I have kept very close to the content and style of the talk as it was delivered. You may access the associated PowerPoint presentation through a link at…

High Energy Physics - Phenomenology · Physics 2010-11-23 Frank Wilczek

This paper surveys a few aspects of the global theory of wave equations. This material is structured around the contents of a minicourse given by the second author during the CMI/ETH Summer School on evolution equations during the Summer of…

Analysis of PDEs · Mathematics 2012-10-31 Dean Baskin , Rafe Mazzeo

This article is based on lecture notes for the Marie Curie Training school "Initial Training on Numerical Methods for Active Matter". It provides an introductory overview of modeling approaches for active matter and is primarily targeted at…

Soft Condensed Matter · Physics 2021-02-26 L. Hecht , J. C. Ureña , B. Liebchen

Lecture notes for an introductory course in elementary particles.

Physics Education · Physics 2015-03-13 Luis Anchordoqui , Francis Halzen

In 2006, the course "Modeling of Organizations" is taught for the third time. This third time will be the second time we will use the new lecture notes "Work Systems Modelling" from the DA VINCI series. These lecture notes, however, will be…

Other Computer Science · Computer Science 2024-01-30 Henderik Alex Proper

These are the very unpretentious lecture notes for the minicourse "Introduction to evolution equations in Geometry," a part of the Brazilian Colloquium of Mathematics held at IMPA, in July of 2009.

Differential Geometry · Mathematics 2012-05-07 Bianca Santoro

These notes are based on a lecture course by L. Chekhov held at the University of Manchester in May 2006 and February-March 2007. They are divulgative in character, and instead of containing rigorous mathematical proofs, they illustrate…

Algebraic Geometry · Mathematics 2007-10-11 Leonid Chekhov

The contributions at the DIS2008 workshop in the working group on Diffraction and Vector Mesons are summarised.

High Energy Physics - Phenomenology · Physics 2009-01-19 M. Capua , M. Grothe , D. Yu. Ivanov , M. N. Kapishin

This text is a slightly edited version of lecture notes for a course I gave at ETH, during the Winter term 2000-2001, to undergraduate Mathematics and Physics students. Contents: Chapter 1 - Examples of Dynamical Systems Chapter 2 -…

History and Overview · Mathematics 2007-05-23 Nils Berglund

This contribution reviews some recent results on dimers coupled to CDT. A bijective mapping between dimers and tree-like graphs allows for a simple way to introduce dimers to CDT. This can be generalized further to obtain different…

High Energy Physics - Theory · Physics 2012-10-31 Lisa Glaser

We introduce a lattice model of dimers with directional interactions as a paradigm of molecular fluids or strongly correlated Cooper pairs in electronic systems. The model supports an intermediate phase that is common to both systems. There…

Materials Science · Physics 2007-05-23 F. Semerianov , P. D. Gujrati