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In this paper we consider the notions of binomial thinning, binomial mixing, their generalizations, certain interplay between them, associated limit theorems and provide various examples.

Probability · Mathematics 2022-09-02 Offer Kella , Andreas Löpker

These are lecture notes focusing on recent progress towards Bourgain's slicing problem and the isoperimetric conjecture proposed by Kannan, Lovasz and Simonovits (KLS).

Functional Analysis · Mathematics 2024-12-02 Bo'az Klartag , Joseph Lehec

We describe the ring of modular forms of degree 2 in characteristic 2 using its relation with curves of genus 2.

Algebraic Geometry · Mathematics 2020-08-20 Fabien Cléry , Gerard van der Geer

In these notes we briefly consider various situations related to infinite commutative semigroups, connected to convolutions and Fourier transforms.

Classical Analysis and ODEs · Mathematics 2007-05-23 Stephen Semmes

In these notes we provide the foundation for the deformation theoretic parts of arXiv:0807.3753 and arXiv:math/0102005.

Rings and Algebras · Mathematics 2010-10-07 Michel Van den Bergh

We construct a class of monotonic quantities along the normalized Ricci flow on closed n-dimensional manifolds.

Differential Geometry · Mathematics 2007-10-24 Jun Ling

This paper surveys some selected topics in the theory of conformal metrics and their connections to complex analysis, partial differential equations and conformal differential geometry.

Complex Variables · Mathematics 2008-05-16 Daniela Kraus , Oliver Roth

Lecture notes as per the title. In the first part, the concepts of a measurable space, measurable maps between measurable spaces and that of a measure on a measurable space are introduced, after which the fundamentals of the theory of…

Probability · Mathematics 2026-04-03 Matija Vidmar

In this thesis, we present results related to complementarity problems. We study the linear complementarity problems on extended second order cones. We convert a linear complementarity problem on an extended second order cone into a mixed…

Optimization and Control · Mathematics 2021-08-18 Lianghai Xiao

In search of a meaningful 2-dimensional analog to mono- tonicity, we introduce two new definitions and give examples of and dis- cuss the relationship between these definitions and others that we found in the literature. Note: After we…

Classical Analysis and ODEs · Mathematics 2013-07-01 Heather A. Van Dyke , Kevin R. Vixie , Thomas J. Asaki

In the present paper, we discuss several basic properties of a class of quasiconformal close-to-convex harmonic mappings with starlike analytic part, such results as coefficient inequalities, an integral representation, a growth theorem, an…

Complex Variables · Mathematics 2021-10-25 Zhi-Gang Wang , Xin-Zhong Huang , Zhi-Hong Liu , Rahim Kargar

The aim of this paper is twofold. The first one is to find several relations between the type 2 higher-order degenerate Euler polynomials and the type 2 higher-order Changhee polynomials in connection with the degenerate stirling numbers of…

Number Theory · Mathematics 2020-04-28 Taekyun Kim , Dae San Kim

A basic class of constructions is considered, in connection with bilipschitz mappings in particular.

Classical Analysis and ODEs · Mathematics 2012-10-18 Stephen Semmes

In these notes we explore a variety of models comprising a large number of constituents. An emphasis is placed on integrals over large Hermitian matrices, as well as quantum mechanical models whose degrees of freedom are organised in a…

High Energy Physics - Theory · Physics 2021-04-13 Dionysios Anninos , Beatrix Mühlmann

A result of Bangert states that the stable norm associated to any Riemannian metric on the $2$-torus $T^2$ is strictly convex. We demonstrate that the space of stable norms associated to metrics on $T^2$ forms a proper dense subset of the…

Differential Geometry · Mathematics 2010-10-08 Eran Makover , Hugo Parlier , Craig J. Sutton

Chapter 1 deals with the problem of the existence of an upper/lower envelope from a convex cone or, more generally, a convex set for functions on the projective limit of vector lattices with values in the completion of the Kantorovich space…

Functional Analysis · Mathematics 2018-12-31 B. N. Khabibullin , A. P. Rozit , E. B. Khabibullina

This is the report-version of a mini-series of two articles on the foundations of satisfiability of conjunctive normal forms with non-boolean variables, to appear in Fundamenta Informaticae, 2011. These two parts are here bundled in one…

Discrete Mathematics · Computer Science 2012-02-15 Oliver Kullmann

We give some results on quadratic normality of reducible curves canonically embedded and partially extend this study to their projective normality.

Algebraic Geometry · Mathematics 2010-09-27 Edoardo Ballico , Silvia Brannetti

The topics of Convexity and Concavity and Envelopes are central in Complex Analysis and extensively investigated. The aim of this paper is to find a possible counterpart in Algebraic Geometry. The article presents preliminary results on…

Complex Variables · Mathematics 2025-11-12 Giuseppe Tomassini

We provide a formal introduction into the classic theorems of general topology and its axiomatic foundations in set theory. In this second part we introduce the fundamental concepts of topological spaces, convergence, and continuity, as…

History and Overview · Mathematics 2013-07-01 Felix Nagel