Related papers: Subelliptic Estimates
We summarise the main results from a number of our recent articles on the subject of probabilistic temperature forecasting.
A review of the superstatistics concept is provided, including various recent applications to complex systems.
The note complements topological aspects of the theory of chiral algebras.
We introduce the concept of protometric and present some properties of protometrics.
New cases of the multiplicity conjecture are considered.
Smooth hypoellipticity for scalar equations is quite well understood presently. On the other hand, much remains to be done for systems and/or at different levels of regularity and in particular for $L^1$-hypoellipticity. In this article we…
Some results on singularities of plurisubharmonic functions are put into the context of tropical mathematics.
The paper is mostly a survey on recent results in Diophantine approximation, with emphasis on properties of exponents measuring various notions of Diophantine <approximation.
We prove an estimate for arbitrary measure of sections of convex bodies. The proof is based on a stability result for intersection bodies.
We give a presentation of abelian class field theory.
We obtain some new inequalities of Chebyshev Type.
We study inert and compressed subgroups of free groups and provide a generalization of echelon subgroups.
We present some questions and suggestion on the second part of the Hilbert 16th problem
We establish Schauder estimates for both divergence and non-divergence form second-order elliptic and parabolic equations involving H\"older semi-norms not with respect to all, but only with respect to some of the independent variables.
A brief introduction to geometric valuation theory is given. The focus is on classification results for valuations on convex bodies and on function spaces.
In this paper we propose a conjecture concerning partial sums of an arbitrary finite subset of an abelian group, that naturally arises investigating simple Heffter systems. Then, we show its connection with related open problems and we…
We present a relative form of the Toponogov comparison theorem.
We summarize some of the main ideas and results around symplectic field theory, from its early inception up to recent and ongoing developments.
We provide an introduction to mathematical theory of scattering resonances and survey some recent results.
We discuss the problem of finding optimal exponents in Diophantine estimates involving one real number and, in some cases where such an exponent is known, present some properties of the corresponding extremal numbers.