Bluesky Explorer

#RandomMatrices

Latest posts tagged with #RandomMatrices on Bluesky

Trending

#Sean Penn #Trump #Will Arnett #Amy Madigan #Frankenstein #Oscar Controversy #KPop Demon Hunters #AEW Revolution #Delroy Lindo #Burger King #Sean Penn #Trump #Will Arnett #Amy Madigan #Frankenstein #Oscar Controversy #KPop Demon Hunters #AEW Revolution #Delroy Lindo #Burger King

Posts tagged #RandomMatrices

Alexander Kasprzyk

@amkasprzyk.bsky.social

5 months ago

Preview

Asymptotic Expansions Relating to the Lengths of Longest Monotone Subsequences of Involutions We study the distribution of the length of longest monotone subsequences in random (fixed-point free) involutions of n integers as n grows large, establishing asymptotic expansions in powers of n^{−1/6} in the general case and in powers of n^{−1/3} in the fixed-point free cases. Whilst the limit laws were shown by Baik and Rains to be one of the Tracy–Widom distributions F_β for β = 1 or β = 4, we find explicit analytic expressions of the first few expansions terms as linear combinations of higher order derivatives of F_β with rational polynomial coefficients. Our derivation is based on a concept of generalized analytic de-Poissonization and is subject to the validity of certain hypotheses for which we provide compelling (computational) evidence. In a preparatory step expansions of the hard-to-soft edge transition laws of LβE are studied, which are lifted into expansions of the generalized Poissonized length distributions for large intensities.

"Asymptotic Expansions Relating to the Lengths of Longest Monotone Subsequences of Involutions" by Folkmar Bornemann. #ExperimentalMath #RandomMatrices #MathSky

1 0 0 0

@getnews-me.bsky.social

5 months ago

New Bounds for Least Singular Values of Dependent Random Matrices

New Bounds for Least Singular Values of Dependent Random Matrices

Researchers unveiled two tools that tighten lower‑bound estimates for the least singular value of random matrices with dependent entries, announced in September 2025. Read more: getnews.me/new-bounds-for-least-sin... #smoothedanalysis #randommatrices

0 0 0 0