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Lecture given Thursday 22 October 1992 at a Mathematics-Computer Science Colloquium at the University of New Mexico. The lecture was videotaped; this is an edited transcript.

chao-dyn · Physics 2008-02-03 G. J. Chaitin

This is a compilation of three separated studies. The main part (Part 3) deals with a unified Picard-Vessiot theory including Picard-Vessiot theories of differential and difference equations. Changes: [v1 -> v2] Corrected descriptions on…

Commutative Algebra · Mathematics 2007-05-23 Katsutoshi Amano

The purpose of this note is to rectify a typographical error in the statements of Theorems 5.5 and 5.6 of Sharma, Chauhan and Singh[3] and further analyze and discuss the significance of the results derived in Takieldin and Sol\'e [4]. In…

Information Theory · Computer Science 2025-03-20 Varsha Chauhan , Anuradha Sharma

We partially update Grossman's 2005 survey of patterns in mathematical research using a sample of 401 profiles from MathSciNet. The mathematical landscape has changed substantially: single-paper authors have reduced from $43$ \% to $32.42$…

History and Overview · Mathematics 2026-05-26 Octavio A. Agustín-Aquino

These are Notes prepared for nine lectures given at the Mathematical Sciences Research Institute, MSRI, Berkeley during the period January--March 1995. It is a pleasant duty to record here my gratitude to MSRI, and its staff, for making…

Representation Theory · Mathematics 2016-09-06 Steve Gelbart

This paper has been withdrawn by the authors

Nuclear Theory · Physics 2007-05-23 Alexander Volya , Vladimir Zelevinsky

These are the notes corresponding to the course given at the IAS-Park City graduate summer school in July 2007.

Probability · Mathematics 2017-07-19 Wendelin Werner

New title and minor adjustments. To appear in the Journal of Pure and Applied Algebra

Commutative Algebra · Mathematics 2017-01-18 Winfried Bruns , Aldo Conca

This is an expanded version of the notes of our lectures given at the conference "Current Developments in Mathematics 2003" held at Harvard University on November 21--22, 2003. We present an overview of the main definitions, results and…

Representation Theory · Mathematics 2007-05-23 Sergey Fomin , Andrei Zelevinsky

These notes are the outgrowth of a series of lectures given at MSRI in January 1995 at the beginning of the special semester in complex dynamics and hyperbolic geometry. In these notes, the primary aim is to motivate the study of complex…

Dynamical Systems · Mathematics 2009-09-25 John Smillie , Gregery T. Buzzard

An expository lecture on the analogy between the subjects of the title. Delivered at the International Conference on Number Theory at the Korea Institute for Advanced Study in December 1997.

Algebraic Geometry · Mathematics 2007-05-23 Minhyong Kim

In the revised version of the paper, we correct misprints and add some new statements.

alg-geom · Mathematics 2008-02-03 Victor V. Batyrev , Dimitrios I. Dais

We offer a more general Bailey pair than one that was proved in two different papers by two different methods [5, 12].

Number Theory · Mathematics 2017-09-05 Alexander E Patkowski

A comment on a recent Letter by Baker and Kawashima (Phys. Rev. Lett. {\bf 75}, 994 (1995)).

Condensed Matter · Physics 2016-08-31 Jae-Kwon Kim

The aim of this introductory lecture is to review the arguments, according to which the symmetry properties of the strong interaction reveal themselves at low energies. I first discuss the symmetries of QCD, then sketch the method used to…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. Leutwyler

This talk is dedicated to various aspects of Mirror Symmetry. It summarizes some of the mathematical developments that took place since M. Kontsevich's report at the Z\"urich ICM and provides an extensive, although not exhaustive,…

Algebraic Geometry · Mathematics 2007-05-23 Yuri I. Manin

The aim of this note is to point out some inaccuracies in our paper \cite{HD} and to fix them. Some new notions are introduced and properties of them are investigated.

General Mathematics · Mathematics 2014-04-30 Kostaq Hila , Jani Dine

This is a slightly extended version of a seminar given the 8th of June at the TASI 99 at Colorado University in Boulder. The motivations behind two time theory are explained and the theory is introduced via one of the theory's easier gauges…

High Energy Physics - Theory · Physics 2007-05-23 Sascha Vongehr

CONTENTS: 1 Introduction 2 Analytic Manifolds and Analytic Continuation of Metrics 3 Walker's Spacetimes and their Maximal Extension 4 Global Structure of de Sitter and Reissner-Nordstr\"om-de Sitter Cosmos 4.1 Special Cases 4.2 Collapsing…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dieter R. Brill

Separation ($\rho$) and Position Angle (PA) measurements are reported of 10 pairs which measures where last reported in the WDS +20 years from epoch of observation 2021.066. Measurements were obtained by direct imaging and are presented…

Instrumentation and Methods for Astrophysics · Physics 2021-06-15 Matthew B. James , Graeme L. White , Roderick R. Letchford , Stephen G. Bosi