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This dissertation is a contribution to the project of second-order set theory, which has seen a revival in recent years. The approach is to understand second-order set theory by studying the structure of models of second-order set theories.…

Logic · Mathematics 2018-04-26 Kameryn J Williams

A brief review of the recent experimental verifications of the Casimir force between extended bodies is presented. With modern techniques, it now appears feasible to test the force law with 1% precision; I will address the issues relating…

Quantum Physics · Physics 2007-05-23 S. K. Lamoreaux

The purpose of this report is to acknowledge the influence of M. Gromov's vision of geometry on our own works. It is two-fold: in the first part we aim at describing some results, in dimension 3, around the question: which open 3-manifolds…

Differential Geometry · Mathematics 2021-09-23 Gerard Besson , Sylvestre Gallot

This is just a note for \cite[Chapter$3{1/2}_+$]{gromov}. Maybe this note is obvious for a reader who knows metric geometry. I wish that someone study further in this direction.

Metric Geometry · Mathematics 2007-06-19 Kei Funano

We confirm recently proposed theorems for the structure of next-to-soft corrections in gauge and gravity theories using diagrammatic techniques, first developed for use in QCD phenomenology. Our aim is to provide a useful alternative…

High Energy Physics - Theory · Physics 2015-06-22 C. D. White

This paper reviews recent advances in Bayesian nonparametric techniques for constructing and performing inference in infinite hidden Markov models. We focus on variants of Bayesian nonparametric hidden Markov models that enhance a…

Methodology · Statistics 2014-07-02 Jonathan H. Huggins , Frank Wood

In this paper, we analyze the mirror descent algorithm for non-smooth optimization problems in which the objective function is relatively strongly convex, without relying on the standard Lipschitz continuity assumption commonly used in the…

Optimization and Control · Mathematics 2026-03-03 Mohammad S. Alkousa , Fedor S. Stonyakin

This comment regards a central aspect of the referred-to paper, the issue of convergence of the large coordination-number expansion. Perturbation expansions of expressions containing a large number of parameters are generally invalid due to…

Other Condensed Matter · Physics 2017-09-12 D. Psiachos

Two properties of a dynamical system, rigidity and non-recurrence, are examined in detail. The ultimate aim is to characterize the sequences along which these properties do or do not occur for different classes of transformations. The main…

Dynamical Systems · Mathematics 2019-02-20 V. Bergelson , A. del Junco , M. Lemańczyk , J. Rosenblatt

The purpose of this paper is two-fold. The first is to give a tutorial introduction to the Sarkisov program, a 3-dimensional generalization of Castelnuovo-N\"other Theorem ``untwisting" birational maps between Mori fiber spaces, which was…

alg-geom · Mathematics 2015-06-30 Andrea Bruno , Kenji Matsuki

This is a survey on the recent fundamental paper by V.V. Shokurov on the existence of log flips.

Algebraic Geometry · Mathematics 2007-05-23 Caucher Birkar

The N = 1 superfield formalism in four-dimensions is well formulated and understood, yet there remain unsolved problems. In this thesis, superfield actions for free massless and massive higher spin superfield theories are formulated in four…

High Energy Physics - Theory · Physics 2007-05-23 J. Phillips

This work investigates a Bregman and inertial extension of the forward-reflected-backward algorithm [Y. Malitsky and M. Tam, SIAM J. Optim., 30 (2020), pp. 1451--1472] applied to structured nonconvex minimization problems under relative…

Optimization and Control · Mathematics 2024-04-17 Ziyuan Wang , Andreas Themelis , Hongjia Ou , Xianfu Wang

This paper is a review of the developments in Instruction level parallelism. It takes into account all the changes made in speeding up the execution. The various drawbacks and dependencies due to pipelining are discussed and various…

Hardware Architecture · Computer Science 2019-09-17 Taposh Dutta-Roy

We are on the way to obtaining multi-dimensional "pictures" of the proton. The field is bursting with activities, both from the theoretical and experimental side. A brief selection of important achievements of the last years and open…

High Energy Physics - Phenomenology · Physics 2021-07-15 Alessandro Bacchetta

Tensor completion is a natural higher-order generalization of matrix completion where the goal is to recover a low-rank tensor from sparse observations of its entries. Existing algorithms are either heuristic without provable guarantees,…

Data Structures and Algorithms · Computer Science 2023-07-14 Allen Liu , Ankur Moitra

This article is the second one of three successive articles of the authors on the matrix-weighted Besov-type and Triebel--Lizorkin-type spaces. In this article, we obtain the sharp boundedness of almost diagonal operators on matrix-weighted…

Functional Analysis · Mathematics 2024-08-22 Fan Bu , Tuomas Hytönen , Dachun Yang , Wen Yuan

Some of my previous publications were incomplete in the sense that non trivial zeros belonging to a particular type of fundamental domain have been inadvertently ignored. Due to this fact, I was brought to believe that computations done by…

Complex Variables · Mathematics 2016-02-05 Dorin Ghisa

We describe the orbits of the irreducible action of PSL(2, R) on the 3-dimensional Einstein universe Ein 1,2. This work completes the study in [2], and is one element of the classification of cohomo-geneity one actions on Ein 1,2 ([5]).

Differential Geometry · Mathematics 2017-06-28 Masoud Hassani

Recent developments in Seiberg-Witten theory and relations with Complex Geometry.

alg-geom · Mathematics 2008-02-03 Christian Okonek , Andrei Teleman
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