In this paper we introduce a new class of integralgeometric measures in $\mathbb {R}^ n $,
built upon the idea of slicing, and depending on the dimension $0\leq m\leq n $ and on the …

Given an open set Ω⊂ R and> 1, we introduce the new spaces GB V (Ω) of Generalized
functions of bounded higher variation and GSB V (Ω) of Generalized special functions of …

A slice distance for the class of weak abelian L p-bundles in 3 dimensions was introduced in
[20], where it was used to prove the closure of such class of bundles for the weak L p …

We prove that the variance swap rate (fair strike) equals the price of a co-terminal European-
style contract when the underlying is an exponential Markov process, time-changed by an …

In this paper, we prove that every equivalence class in the quotient group of integral 1-
currents modulo p in Euclidean space contains an integral current, with quantitative …

In this paper we consider a new kind of Mumford–Shah functional E (u, Ω) for maps u: ℝm→
ℝn with m≥ n. The most important novelty is that the energy features a singular set Su of …