Results 171 to 180 of about 16,456 (286)

Dimension of homogeneous iterated function systems with algebraic translations

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
Abstract Let μ$ \mu$ be the self‐similar measure associated with a homogeneous iterated function system Φ={λx+tj}j=1m$ \Phi = \lbrace \lambda x + t_j \rbrace _{j=1}^m$ on R$\mathbb {R}$ and a probability vector (pj)j=1m$ (p_{j})_{j=1}^m$, where 0≠λ∈(−1,1)$0\ne \lambda \in (-1,1)$ and tj∈R$t_j\in \mathbb {R}$.
De‐Jun Feng, Zhou Feng
wiley   +1 more source

Conformal metrics of constant scalar curvature with unbounded volumes

open access: yesProceedings of the London Mathematical Society, Volume 131, Issue 1, July 2025.
Abstract For n⩾25$n\geqslant 25$, we construct a smooth metric g∼$\tilde{g}$ on the standard n$n$‐dimensional sphere Sn$\mathbb {S}^n$ such that there exists a sequence of smooth metrics {g∼k}k∈N$\lbrace \tilde{g}_k\rbrace _{k\in \mathbb {N}}$ conformal to g∼$\tilde{g}$ where each g∼k$\tilde{g}_k$ has scalar curvature Rg∼k≡1$R_{\tilde{g}_k}\equiv 1 ...
Liuwei Gong, Yanyan Li
wiley   +1 more source

Absolutely continuous Furstenberg measures

open access: yesProceedings of the London Mathematical Society, Volume 131, Issue 1, July 2025.
Abstract In this paper, we provide a sufficient condition for a Furstenberg measure generated by a finitely supported measure to be absolutely continuous. Using this, we give completely explicit examples of absolutely continuous Furstenberg measures including examples which are generated by measures which are not symmetric.
Samuel Kittle
wiley   +1 more source

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