Dynamics and Analytic Number Theory

ISBN-13: 9781107552371 / Angielski / Miękka / 2016 / 340 str.

Dzmitry Badziahin; Alexander Gorodnik; Norbert Peyerimhoff

Opis

Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.

Spis treści

1. Metric Diophantine approximation – aspects of recent work Victor Beresnevich, Felipe Ramírez and Sanju Velani; 2. Exponents of Diophantine approximation Yann Bugeaud; 3. Effective equidistribution of nilflows and bounds on Weyl sums Giovanni Forni; 4. Multiple recurrence and finding patterns in dense sets Tim Austin; 5. Diophantine problems and homogeneous dynamics Manfred Einsiedler and Tom Ward; 6. Applications of thin orbits Alex Kontorovich; Index.