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We propose two families of nonconforming finite elements on $n$-rectangle meshes of any dimension to solve the sixth-order elliptic equations. The unisolvent property and the approximation ability of ...
Let $f$ be a holomorphic Hecke cusp form or Hecke-Maass cusp form for $SL(2,\mathbb{Z}),$ and let $\lambda_{f}(n)$ be the $n$th Hecke eigenvalue. Rankin and Selberg showed that$$\sum_{1 \leq m \leq X}...
We study Mumford-Tate groups of families of Calabi-Yau manifolds in this notes, for example, we have interest in the relations between the geometry of families of Calabi-Yau manifolds and their Mumfor...
For smooth families of projective algebraic curves, we extend the notion of intersection pairing of metrized line bundles to a pairing on line bundles with flat relative connections. In this setting, ...
We show that any family of sets uniformly definable in an ominimal structure has an extended compression scheme of size equal to the number of parameters in the defining formula.
We consider families of smooth one-dimensional maps with several critical points and outline the main ideas of the construction in the parameter space that allows to get infinite Markov Partitions and...
Let X be a random vector distributed according to an exponential family with natural parameter 0 E O.We characterize conjugate prior measures on O through the property of linear posterior expectat...
This paper characterizes mixtures of symmetric location families. More specifically, let X = (XI, Xz, .. . ) be an exchangeable sequence of real-valued random variables. By de Finetti's theorem, X...
We give families of examples where sharp rates of convergence to stationarity of the widely used Gibbs sampler are available. The examples involve standard exponential families and their conjugate pri...
We show that the family of standard simplices and the family of Stasheff polytopes are dual to each other in the following sense. The chain modules of the standard simplices, resp. the Stasheff poly...
We study mean ergodicity in amenable operator semigroups and establish the connection to the convergence of strong and weak ergodic nets. We then use these results in order to show the convergence of ...
We start with a Riemann-Hilbert Problems (RHP) with canonical normalization whose sewing functions depends on several additional variables. Using Zakharov-Shabat theorem we are able to construct a fam...
Abstract: We investigate the existence of Arnold diffusion-type orbits for systems obtained by iterating in any order the flows of a family of Tonelli Hamiltonians. Our approach is close to the one of...
Abstract: Let (X,D) be a dlt pair, where X is a normal projective variety. Let S denote the support of the rounddown of D, and K the canonical divisor of X. We show that any smooth family of canonical...
Abstract: In any connected non-compact semi-simple Lie group without factors locally isomorphic to SL_2(R), there can be only finitely many lattices (up to isomorphism) of a given covolume. We show th...

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