Blogs about: Mathds

Featured Blog

A multi-dimensional Szemer\'edi theorem for the primes via a correspondence principle1 comment

Terence Tao wrote 5 days ago: Tamar Ziegler and I have just uploaded to the arXiv our joint paper “A multi-dimensional Szeme … more →

Tags: math.NT, paper, Constellations, correspondence principle, Prime Numbers, Szemeredi's theorem, Tamar Ziegler, transference principle

Finiteness of algebraically primitive closed SL(2,R)-orbits in moduli spaces1 comment

matheuscmss wrote 1 week ago: Today I gave a talk at the Second Palis-Balzan conference on Dynamical Systems (held at Institut Hen … more →

Tags: Conferences, Expository, mathematics, alex wright, algebraically primitive Teichmueller curves, Hodge-Teichmueller planes, Kontsevic-Zorich classification of connected components, Martin Moeller, moduli spaces

Dynamical degrees (after Blanc and Cantat)

matheuscmss wrote 2 weeks ago: About one week ago (May 23, 2013), I saw a very nice talk of Serge Cantat on Dynamical degrees at th … more →

Tags: Expository, math.AG, mathematics, birational geometry, Cremona group, dynamical degree, Jeremy Blanc, Pisot numbers, Salem numbers

Cohomology of Schmidt-bounded cocycles

matheuscmss wrote 3 weeks ago: One of the most important results for the measurable study of linear (dynamical) cocycles is Oselede … more →

Tags: Expository, mathematics, cohomology of dynamical cocycles, dynamical cocycles, Klaus Schmidt, Zimmer's amenable reduction theorem

Multiple recurrence and convergence results associated to F_p^omega-actions3 comments

Terence Tao wrote 4 weeks ago: Vitaly Bergelson, Tamar Ziegler, and I have just uploaded to the arXiv our joint paper “Multip … more →

Tags: paper, ergodic theory, finite fields, Polynomials, multiple recurrence, Tamar Ziegler, Vitaly Bergelson, multiple convergence

A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces1 comment

matheuscmss wrote 1 month ago: Martin Möller, Jean-Christophe Yoccoz and I have just upload to ArXiv our paper “A criterion f … more →

Tags: mathematics, Papers, Avila-Viana simplicity criterion, elementary Galois theory, Jean-Christophe Yoccoz, Martin Moeller, Siegel's theorem, simplicity of Lyapunov exponents

IPAM's program "Interactions between Analysis and Geometry" and John Pardon's talk on Hilbert-Smith conjecture for 3-manifolds 2 comments

matheuscmss wrote 1 month ago: Two weeks ago, I was in Los Angeles to attend Workshop II: Dynamics of Groups and Rational Maps of t … more →

Tags: Conferences, Expository, mathematics, Interactions between Analysis and Geometry 2013 at IPAM, ipam, John Pardon, Los Angeles

An informal version of the Furstenberg correspondence principle4 comments

Terence Tao wrote 2 months ago: One of the basic objects of study in combinatorics are finite strings or infinite strings of symbols … more →

Tags: Expository, math.CO, correspondence principle, ergodic theory, Morse sequence, nilsequences

Ergodicity of conservative diffeomorphisms (II)

matheuscmss wrote 3 months ago: Sylvain Crovisier gave on February 22, 2013, a second talk — this time at Eliasson-Yoccoz semi … more →

Tags: Expository, mathematics, Amie Wilkinson, artur avila, ergodicity, generic conservative diffeomorphisms, KAM theory, Pesin Theory, Sylvain Crovisier

Eskin-Kontsevich-Zorich regularity conjecture IV: a perfect cancellation result and end of proof of EKZ conjecture

matheuscmss wrote 3 months ago: Today we will complete the description of the solution of Eskin-Kontsevich-Zorich regularity conject … more →

Tags: Expository, mathematics, Papers, artur avila, Eskin-Kontsevich-Zorich regularity conjecture, Jean-Christophe Yoccoz

Eskin-Kontsevich-Zorich regularity conjecture III: accessing deep levels of the systole function

matheuscmss wrote 3 months ago: The plan of today’s discussion is to use the tools (“orbit by orbit estimates” and … more →

Tags: Expository, mathematics, Papers, artur avila, Eskin-Kontsevich-Zorich regularity conjecture, Eskin-Masur, Howard Masur, Jean-Christophe Yoccoz

Eskin-Kontsevich-Zorich regularity conjecture II: three facts about SL(2,R) and a variant of Rokhlin's disintegration theorem

matheuscmss wrote 3 months ago: As we mentioned in the first post of this series, our goal today is to discuss some elementary facts … more →

Tags: mathematics, Expository, Papers, J. C. Yoccoz, SL(2;R) action, A. Avila, Eskin-Kontsevich-Zorich regularity conjecture, Rokhlin disintegration theorem

Eskin-Kontsevich-Zorich regularity conjecture I: introduction

matheuscmss wrote 3 months ago: From October 20 to 24, 2011, the conference Dynamics and Geometry organized by H. de Thélin, T.-C. D … more →

Tags: mathematics, Expository, Papers, Jean-Christophe Yoccoz, SL(2;R)-action on Abelian differentials, Abelian differentials, translation surfaces, artur avila, Eskin-Kontsevich-Zorich regularity conjecture

Ergodicity of conservative diffeomorphisms (I)1 comment

matheuscmss wrote 4 months ago: Last Wednesday (February 13, 2013) Sylvain Crovisier gave a talk at the Ergodic Theory seminar at LA … more →

Tags: mathematics, Expository, KAM theory, Amie Wilkinson, Pesin Theory, Sylvain Crovisier, artur avila, generic conservative diffeomorphisms, ergodicity

Nivat's conjecture after Cyr-Kra1 comment

matheuscmss wrote 4 months ago: Bryna Kra gave a talk (last Thursday (January 24, 2013)) at Orsay about her joint work with Van Cyr … more →

Tags: mathematics, Expository, Math & co., Francois Ledrappier, discrepancy, Bryna Kra, Van Cyr, 3-dots system, Nivat's conjecture

First Bourbaki seminar of 20131 comment

matheuscmss wrote 4 months ago: Last Saturday (January 19, 2013), the first Bourbaki seminar of this year took place at amphithéâtre … more →

Tags: mathematics, Expository, Bourbaki seminar, Yves de Cornulier, topologically full groups, N. Monod, K. Juschenko, H. Matui

Mark Pollicott's talk on ``Zeta functions for Anosov flows''2 comments

matheuscmss wrote 5 months ago: Last Monday (January 14, 2013), Mark Pollicott gave a nice talk entitled “Zeta functions for A … more →

Tags: mathematics, Expository, David Ruelle, Mark Pollicott, zeta functions, counting problems

Maxim Kontsevich's talk on ''Lyapunov exponents for variations of Hodge structures''

matheuscmss wrote 5 months ago: Last Monday (January 7, 2013), Maxim Kontsevich gave an excellent talk entitled “Lyapunov expo … more →

Tags: mathematics, math.AG, Lyapunov exponents, Maxim Kontsevich, variations of Hodge structures, Calabi-Yau manifolds

Multiple recurrence in quasirandom groups2 comments

Terence Tao wrote 6 months ago: I’ve just uploaded to the arXiv my joint paper with Vitaly Bergelson, “Multiple recurren … more →

Tags: math.CO, math.GR, paper, quasirandom groups, ultrafilters, ultraproducts, Vitaly Bergelson


Related Tags
All →

Follow this tag via RSS