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LECTURES ON U-GIBBS STATES
LECTURES ON U-GIBBS STATES Index difference
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2015/9/29
An important problem in smooth ergodic theory is to understand an
appearance of chaotic behavior in systems governed by deterministic
laws. Now it is understood that chaotic behavior is caused by th...
Graham Higman's lectures on januarials
januarials orientable surfaces
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2015/8/26
This account, part historical and part original, is based on a series of lectures of Graham Higman on januarials, namely coset graphs for actions of triangle groups which become 2-face maps when embed...
THE 1987 WALD MEMORIAL LECTURES A GENERALIZATION OF SPECTRAL ANALYSIS WITH APPLICATION TO RANKED DATA
Spectral analysis the simulation data the space
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2015/7/14
An analog of the spectral analysis of time series is developed for data in
general spaces. This is applied to data from an election in which 5738 people
rank ordered five candidates. Group theoret...
Three lectures on Algebraic Microlocal Analysis
Three lectures Algebraic Microlocal Analysis Algebraic Geometry
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2012/6/27
These three lectures present some fundamental and classical aspects of microlocal analysis. Starting with the Sato's microlocalization functor and the microsupport of sheaves, we then construct a micr...
Cambridge Lectures on Supersymmetry and Extra Dimensions
Supersymmetry Extra Dimensions
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2010/12/23
These lectures on supersymmetry and extra dimensions are aimed at finishing undergraduate and beginning postgraduate students with a background in quantum field theory and group theory. Basic knowledg...
Lectures on principal bundles over projective varieties
projective varieties math
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2010/11/12
Lectures on the construction on the moduli space of principal bundles, given in the Mini-School on Moduli Spaces at the Banach center (Warsaw) 26-30 April 2005.
Lectures on Holomorphic Curves in Symplectic and Contact Geometry
Holomorphic Curves Symplectic Contact Geometry
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2010/11/12
This is a set of expository lecture notes created originally for a graduate course on holomorphic curves taught at ETH Zurich and the Humboldt University Berlin in 2009/2010. The notes are still incom...
Lectures on algebraic categorification
Lectures algebraic categorification
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2010/11/8
This is a write-up of the lectures given by the author during the Master Class "Categorification" at {\AA}rhus University, Denmark in October 2010.
Five lectures on optimal transportation: Geometry, regularity and applications
optimal transportation Geometry regularity applications
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2010/11/19
In this series of lectures we introduce the Monge-Kantorovich problem of optimally transporting one distribution of mass onto another, where optimality is measured against a cost function c(x,y). Con...
Lectures on Scattering Amplitudes in String Theory
Scattering Amplitudes String Theory
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2010/12/22
In these lecture notes, we take a closer look at the calculation of scattering amplitudes for the bosonic string. It is believed that string theories form the UV completions of (super)gravity theorie...
Edinburgh Lectures on Geometry, Analysis and Physics
Edinburgh Lectures on Geometry Analysis Physics
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2010/12/13
These lecture notes are based on a set of six lectures that I gave in Edinburgh in 2008/2009 and they cover some topics in the interface between Geometry and Physics. They involve some unsolved proble...
Lectures on Seiberg-Witten Invariants
Seiberg-Witten Invariants
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2010/3/17
Lectures on Seiberg-Witten Invariants。
Gif Lectures on direct detection of Dark Matter
Dark Matter bolometric noble liquid
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2010/3/16
These notes cover some of the topics associated with direct detection of dark matter at an introductory level. The general principles of dark matter search are summarized. The current status of some e...
Lectures on inflation and cosmological perturbations
cosmological perturbations inflation
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2010/3/19
The purpose of these lectures is to give a pedagogical introduction to inflation and the production of primordial perturbations, as well as a review of some of the latest developments in this domain. ...