Results 151 to 160 of about 3,791,283 (277)

The lower p$p$‐series of analytic pro‐p$p$ groups and Hausdorff dimension

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 2, August 2025.
Abstract Let G$G$ be a p$p$‐adic analytic pro‐p$p$ group of dimension d$d$, with lower p$p$‐series L:Pi(G),i∈N$\mathcal {L} \colon P_i(G), \,i \in \mathbb {N}$. We produce an approximate series which descends regularly in strata and whose terms deviate from Pi(G)$P_i(G)$ in a uniformly bounded way.
Iker de las Heras   +2 more
wiley   +1 more source

Regularity of the SLE4 uniformizing map and the SLE8 trace

open access: yesProceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.
Abstract We show that the modulus of continuity of the SLE4${\rm SLE}_4$ uniformizing map is given by (logδ−1)−1/3+o(1)$(\log \delta ^{-1})^{-1/3+o(1)}$ as δ→0$\delta \rightarrow 0$. As a consequence of our analysis, we show that the Jones–Smirnov conditions for conformal removability (with quasihyperbolic geodesics) do not hold for SLE4${\rm SLE}_4 ...
Konstantinos Kavvadias   +2 more
wiley   +1 more source

Birational complexity and dual complexes

open access: yesProceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.
Abstract We introduce the notion of birational complexity of a log Calabi–Yau pair. This invariant measures how far the log Calabi–Yau pair is from being birational to a toric pair. We study fundamental properties of the new invariant, with a particular focus on the geometry of dual complexes.
Mirko Mauri, Joaquín Moraga
wiley   +1 more source

Principal frequency of clamped plates on RCD(0,N)${\sf RCD}(0,N)$ spaces: Sharpness, rigidity, and stability

open access: yesProceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.
Abstract We study fine properties of the principal frequency of clamped plates in the (possibly singular) setting of metric measure spaces verifying the RCD(0,N)${\sf RCD}(0,N)$ condition, that is, infinitesimally Hilbertian spaces with nonnegative Ricci curvature and dimension bounded above by N>1$N>1$ in the synthetic sense.
Alexandru Kristály, Andrea Mondino
wiley   +1 more source

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