Blogs about: Spectral Gap
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Kac’s Program in Kinetic Theory (new preprint)
I have just uploaded on arXiv a joint work with Stéphane Mischler on “Kac’s Program in Kinetic Theory”. In this paper, we answer a set of questions raised by Mark Kac in his seminal… more →
Clément Mouhot
Superstrong approximation for monodromy groups (and Galois groups?)
wrote 3 months ago: Hey, I posted a paper to the arXiv and forgot to blog about it! The paper is called “Superstr … more →
Idle question: cluster algebras over finite fields and spectral gaps
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wrote 4 months ago: Yet another great talk at the JMM: Lauren Williams gave an introduction to cluster algebras in the … more →
254B, Notes 2: Cayley graphs and Kazhdan's property (T)
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wrote 1 year ago: In the previous set of notes we introduced the notion of expansion in arbitrary -regular graphs. For … more →
254B, Notes 1: Basic theory of expander graphs
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wrote 1 year ago: The objective of this course is to present a number of recent constructions of expander graphs, whic … more →
How quickly does randomness appear?
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wrote 1 year ago: This was the [slightly off-key] title of the math column in the November issue of La Recherche, in … more →
Kac's Program in Kinetic Theory (new preprint)
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wrote 1 year ago: I have just uploaded on arXiv a joint work with Stéphane Mischler on “Kac’s Program in K … more →
Cercignani's conjecture
wrote 2 years ago: Carlo Cercignani 1983 (Photo credit Kazuo Aoki) Soon will happen a Conference in memory of Carlo Cer … more →
Expander graphs, gonality, and variation of Galois representations
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wrote 2 years ago: New paper on the arXiv with Chris Hall and Emmanuel Kowalski. Suppose you have a 1-dimensional famil … more →
New preprint "Factorization for non-symmetric operators and exponential H-theorem"
wrote 2 years ago: We have just preprinted together with Maria Pia Gualdani and Stephane Mischler a new paper entitled … more →
Hypocoercivity for linear kinetic equations conserving mass
wrote 3 years ago: I have uploaded a new paper entitled “Hypocoercivity for linear kinetic equations conserving m … more →
A note on "Enlarging the functional space of decay estimates on semigroups"
wrote 3 years ago: I have just uploaded a note on the issue of “enlarging the functional space of decay estimates … more →
Teichmüller curves with complementary series
wrote 3 years ago: Two weeks ago (October 29), Jean-Christophe Yoccoz, Artur Avila and I talked about the action on the … more →
