Related papers: A local Mazur-Ulam theorem
We provide an easily verifiable condition for local $k$-connectedness of an inverse limit of polyhedra.
Local limit theorems are derived for the number of occupied urns in general finite and infinite urn models under the minimum condition that the variance tends to infinity. Our results represent an optimal improvement over previous ones for…
We prove a local central limit theorem for "nonconventional" sums generated by some classes of sufficiently fast mixing sequences.
It was proved by S. Mazur and S. Ulam in 1932 that every isometric surjection between normed real vector spaces is affine. We generalize the Mazur--Ulam theorem and find necessary and sufficient conditions under which distance-preserving…
Gouv\^ea-Mazur [GM] made a conjecture on the local constancy of slopes of modular forms when the weight varies $p$-adically. Since one may decompose the space of modular forms according to associated residual Galois representations, the…
We prove a uniformization theorem in complex algebraic geometry.
A vector variational principle is proved.
We prove a conjecture on Rubin-Stark elements, which was recently proposed by the author, and also by Mazur and Rubin, in a special case.
We give a proof of a so-called "local $Tb$" Theorem for singular integrals whose kernels satisfy the standard Calder\'on-Zygmund conditions. The present theorem, which extends an earlier result of M. Christ \cite{Ch}, was proved in…
We prove a recent conjecture by Ulas on reducible polynomial substitutions.
We generalize the Cauchy-Davenport theorem to locally compact groups.
In these notes we give an Alperin's Fusion Theorem for localities.
We prove a version of adelic descent for continuous localizing invariants.
We suggest an alternative proof of a theorem due to Lambek and Moser using a perceptible model.
We obtain some results related to Romanoff's theorem.
We extract the Abhyankar-Moh-Suzuki theorem from the Lin-Zaidenberg theorem.
We give a counting based proof of the Graham Pollak Theorem
In this note we give a detailed proof of a theorem of Aubin.
We formulate and prove the analogue of Moser's stability theorem for locally conformally symplectic structures. As special cases we recover some results previously proved by Banyaga.
Let $E$ be an elliptic curve defined over $\mathbb{Q}$ with supersingular reduction at $p \geq 5$, and $K$ be an imaginary quadratic field such that $p$ is inert in $K/\mathbb{Q}$. In this paper, we prove the analogous of the ``weak''…