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This set of notes re-proves known results on weighted automata (over a field, also known as multiplicity automata). The text offers a unified view on theorems and proofs that have appeared in the literature over decades and were written in…

Formal Languages and Automata Theory · Computer Science 2020-09-03 Stefan Kiefer

This paper collects some problems that I have encountered during the years, have puzzled me and which, to the best of my knowledge, are still open. Most of them are well-known and have been first stated by other authors. In this sad season…

Analysis of PDEs · Mathematics 2020-03-26 Giovanni Alessandrini

Given an arithmetic surface and a positive hermitian line bundle over it, we bound the successive minima of the lattice of global sections of this line bundle. Our method combines a result of C.Voisin on secant varieties of projective…

Algebraic Geometry · Mathematics 2016-09-07 Christophe Soule'

A remark on the proof that the Grothendieck constant satisfies $K_G < \pi/(2\ln(1+\sqrt{2}))$.

Functional Analysis · Mathematics 2023-06-05 Jean-Louis Krivine

Stimulated by a recent preprint of Bricmont and Goldstein.

Quantum Physics · Physics 2018-04-13 R. S. Mackintosh

Using the notion of the truncated variation we obtain a new theorem on the existence and estimation of the Riemann-Stieltjes integral. As a special case of this theorem we obtain an improved version of the Lo\'{e}ve-Young inequality for the…

Classical Analysis and ODEs · Mathematics 2023-06-29 Rafał M. Łochowski

The goal of this paper is to refine some aspects of the cohomological study of Bruhat-Tits subgroups. It aims to complement the work done in the 1987 article. As an application, we obtain a result "\`a la Grothendieck-Serre" for Bruhat-Tits…

Group Theory · Mathematics 2025-09-23 Anis Zidani

This paper has been withdrawn by the corresponding author because the newest version is now published in Journal of Discrete Algorithms.

Computational Complexity · Computer Science 2010-09-02 Morris Michael , Francois Nicolas , Esko Ukkonen

This paper develops an analytical method of truncating inequality constrained Gaussian distributed variables where the constraints are themselves described by Gaussian distributions. Existing truncation methods either assume hard…

Systems and Control · Computer Science 2016-06-08 Andrew W. Palmer , Andrew J. Hill , Steven J. Scheding

Lecture notes for the proceedings of the workshop "Algebraic Combinatorics related to Young diagram and statistical physics", Aug. 6-10 2012, I.I.A.S., Nara, Japan.

Combinatorics · Mathematics 2012-12-14 Philippe Di Francesco

This paper has been withdrawn because the Editor of Electronical Journal of Statistics declined the paper.

Methodology · Statistics 2008-12-18 Jae Keun Yoo , Keunbaik Lee , C. Messen Setodji

We solve the problem of finding optimal entire approximations of prescribed exponential type (unrestricted, majorant and minorant) for a class of truncated and odd functions with a shifted exponential subordination, minimizing the…

Classical Analysis and ODEs · Mathematics 2021-09-30 Emanuel Carneiro , Friedrich Littmann

There is a big difference between "quasi-galois" in the eprint (arXiv:0907.0842) and "pseudo-galois" in the sense of Suslin-Voevodsky.

Algebraic Geometry · Mathematics 2009-09-02 Feng-Wen An

This paper is part of series on self-contained papers in which a large part, if not the full extent, of the asymptotic limit theory of summands of independent random variables is exposed. Each paper of the series may be taken as review…

Probability · Mathematics 2021-08-24 Aladji Babacar Niang , Gane Samb Lo , Moumouni Diallo

Brief Description: The book provides a unique highly self-contained text introducing the reader to the classical and modern theory of polyanalytic functions and their generalizations. This is a subbranch of complex analysis of several…

Complex Variables · Mathematics 2025-03-31 Abtin Daghighi

We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.

Number Theory · Mathematics 2024-05-14 Daria Maksimova

In recent years, partially observable functional data has gained significant attention in practical applications and has become the focus of increasing interest in the literature. In this thesis, we build upon the concept of data…

Statistics Theory · Mathematics 2025-01-07 Yixiao Wang

In this final note we demonstrate that the authors of manuscripts arXiv:1210.2036, arXiv:1309.0405 and arXiv:1309.5513 use mathematical notations and notions sometimes in the standard meaning and sometimes in a sense which differs from the…

Fluid Dynamics · Physics 2013-10-22 A. Kartashov , E. Kartashova

We comment on the paper \"Uber Extremalprobleme der konformen Geometrie (On extremal problems in conformal geometry) by Teichm\"uller, published in 1941. This paper contains ideas on a wide generalization of his previous work on the…

Geometric Topology · Mathematics 2016-03-17 Norbert A'Campo , Athanase Papadopoulos