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Arithmetic Quantum Unique Ergodicity Manfred Einsiedler ETH Zürich Arizona Winter School 12. März 2010 Recent Progress on QUE 2 §1. The General QUE Conjecture In Figure…
INVARIANT MEASURES AND ARITHMETIC QUANTUM UNIQUE ERGODICITY ELON LINDENSTRAUSS Abstract. We classify measures on the locally homogeneous space Γ\SL(2, R)×L which are invariant…
LATTICE POINTS ON CIRCLES SQUARES IN ARITHMETIC PROGRESSIONS AND SUMSETS OF SQUARES JAVIER CILLERUELO AND ANDREW GRANVILLE Abstract We discuss the relationship between various…
Unit 5 - Circles WARM-UPS Part I REMINDER: Circumference = 2πr = πd 1. Find the circumference of : C=________ C=____________ C=_______________ 2. Find the radius of : Find…
April 3 2013 Functions on circles: Fourier series I Paul Garrett garrett@mathumnedu http:wwwmathumnedu g̃arrett This document is http:wwwmathumnedu˜garrettmfunnotes 2012-1304…
Mental Arithmetic Questions 1. What number is five cubed? 5³ = 5 x 5 x 5 = 25 x 5 = 125 2. A circle has radius r. What is the formula for the area of the circle? Area =…
Eisenstein congruences in arithmetic and geometry Romyar Sharifi University of Arizona October 22 2015 1 22 The Riemann zeta function Definition The Riemann zeta function…
10 Cardinal arithmetic Addition and multiplication of cardinal numbers Definition of a relation Proof: a follows from the above Corollary b is trivial c d Since {0} ×m ∪…
Monodromy and Arithmetic Groups TNVenkataramana School of Mathematics Tata Institute of Fundamental Research Mumbai venky@mathtifrresin February 10 2015 TNVenkataramana TIFR…
lsdiv-talk.dviTHE DIRICHLET AND KELVIN PRINCIPLES Max Gunzburger Sandia National Laboratories WHY LEAST SQUARES? • Finite element methods were first developed and analyzed
Alternatives to Least-Squares • Need a method that gives consistent estimates in presence of coloured noise • Generalized Least-Squares • Instrumental Variable Method…
10.7 Area of Circles and Sectors 10.7 Area of Circles and Sectors Brett Solberg AHS ‘11-’12 Warm-up Today’s Agenda pi Area circle activity to discover sector segment…
316 Chapter 8 Circles and Area Circles and Circumference8.1 How can you fi nd the circumference of a circle? Archimedes was a Greek mathematician, physicist, engineer, and…
Permanent Does Not Have Succinct Polynomial Size Arithmetic Circuits of Constant Depth Maurice Jansen and Rahul Santhanam School of Informatics, The University of Edinburgh…
Exploring the 64-bit Memory Mapped Arithmetic UnitExploring the 64-bit Memory Mapped Arithmetic Unit metering, hardware support for high-dynamic range arithmetic operations
Semantics for Intuitionistic Arithmetic based on Tarski Games with retractable moves Stefano Berardi http://www.di.unito.it/∼stefano C.S. Dept., University of Torino,
Journal de Theorie des Nombres de Bordeaux 16 (2004), 251–291 Arithmetic of linear forms involving odd zeta values par Wadim ZUDILIN Resume. Une construction hypergeometrique
1 Quaternion Algebras In this section, F is a field of characteristic 6= 2. Unless stated otherwise, all algebras considered here are finite dimensional algebras over F .
Pseudo–Eisenstein forms and cohomology of arithmetic groups II Jürgen Rohlfs Katholische Universität Eichstätt-Ingolstadt Ostenstr 26 – 28 85072 EichstättGermany…
Numerical Analysis, lecture 3: Computer Arithmetic 1 (textbook sections 2.4–8) • floating point numbers • fp arithmetic ENIAC (USA, 1945) Numerical Analysis, lecture…