Results 121 to 130 of about 105,003 (261)

A note on higher integrability of projections

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3699-3708, December 2025.
Abstract Let t∈[1,2)$t \in [1,2)$ and p>2/(2−t)$p > 2/(2 - t)$. I construct a t$t$‐Frostman Borel measure μ$\mu$ on [0,1]2$[0,1]^{2}$ such that πθμ∉Lp$\pi _{\theta }\mu \notin L^{p}$ for every θ∈S1$\theta \in S^{1}$. This answers a question of Peres and Schlag.
Tuomas Orponen
wiley   +1 more source

Euclidean algorithms are Gaussian over imaginary quadratic fields

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We prove that the distribution of the number of steps of the Euclidean algorithm of rationals in imaginary quadratic fields with denominators bounded by N$N$ is asymptotically Gaussian as N$N$ goes to infinity, extending a result by Baladi and Vallée for the real case.
Dohyeong Kim, Jungwon Lee, Seonhee Lim
wiley   +1 more source

On local well-posedness of logarithmic inviscid regularizations of generalized SQG equations in borderline Sobolev spaces

, 2021
Michael S. Jolly, Anuj Kumar, Vincent R. Martinez   +2 more
openalex   +2 more sources

A new theory of fractional differential calculus and fractional Sobolev spaces: One-dimensional case [PDF]

, 2020
Xiaobing Feng, Mitchell Sutton
openalex   +1 more source

Fractional Q$Q$‐curvature on the sphere and optimal partitions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We study an optimal partition problem on the sphere, where the cost functional is associated with the fractional Q$Q$‐curvature in terms of the conformal fractional Laplacian on the sphere. By leveraging symmetries, we prove the existence of a symmetric minimal partition through a variational approach. A key ingredient in our analysis is a new
Héctor A. Chang‐Lara, Juan Carlos Fernández, Alberto Saldaña   +2 more
wiley   +1 more source

Almost global-in-time solution of the Prandtl equations in Sobolev space [PDF]

, 2015
Chao-Jiang Xu, Xu Zhang
openalex  

On the Sobolev trace Theorem for variable exponent spaces in the critical range [PDF]

, 2013
Julián Fernández Bonder, Nicolas Saintier, Analía Silva   +2 more
openalex   +1 more source

Conformal optimization of eigenvalues on surfaces with symmetries

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
wiley   +1 more source

W‐algebras, Gaussian free fields, and g$\mathfrak {g}$‐Dotsenko–Fateev integrals

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract Based on the intrinsic connection between Gaussian free fields and the Heisenberg vertex algebra, we study some aspects of the correspondence between probability theory and W$W$‐algebras. This is first achieved by providing a construction of the W$W$‐algebra associated to a complex simple Lie algebra g$\mathfrak {g}$ by means of Gaussian free ...
Baptiste Cerclé
wiley   +1 more source

On the deep‐water and shallow‐water limits of the intermediate long wave equation from a statistical viewpoint

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley   +1 more source