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Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley +1 more source
Universality for fluctuations of counting statistics of random normal matrices
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We consider the fluctuations of the number of eigenvalues of n×n$n\times n$ random normal matrices depending on a potential Q$Q$ in a given set A$A$. The eigenvalues of random normal matrices are known to form a determinantal point process, and are known to accumulate on a compact set called the droplet under mild conditions on Q$Q$. When A$A$
Jordi Marzo +2 more
wiley +1 more source
Polynomial and horizontally polynomial functions on Lie groups. [PDF]
Ann Mat Pura Appl, 2022 Antonelli G, Le Donne E.
europepmc +1 more source
Asymptotic Performance of Port-Based Teleportation. [PDF]
Commun Math Phys, 2021 Christandl M +5 more
europepmc +1 more source
Identities between polynomials related to Stirling and harmonic numbers
, 2014 We consider two types of polynomials $F_n (x) = \sum_{\nu=1}^n \nu! S_2(n,\nu) x^\nu$ and $\hat{F}_n (x) = \sum_{\nu=1}^n \nu! S_2(n,\nu) H_\nu x^\nu$, where $S_2(n,\nu)$ are the Stirling numbers of the second kind and $H_\nu$ are the harmonic numbers ...
Kellner, Bernd C.
core
Higher-Order Linearization and Regularity in Nonlinear Homogenization. [PDF]
Arch Ration Mech Anal, 2020 Armstrong S, Ferguson SJ, Kuusi T.
europepmc +1 more source
Black holes, hidden symmetries, and complete integrability. [PDF]
Living Rev Relativ, 2017 Frolov VP, Krtouš P, Kubizňák D.
europepmc +1 more source
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Novel Properties of q-Sine-Based and q-Cosine-Based q-Fubini Polynomials
Symmetry, 2023Waseem Ahmad Khan +2 more
exaly
New construction of type 2 degenerate central Fubini polynomials with their certain properties
Advances in Difference Equations, 2020Sunil Kumar Sharma +2 more
exaly