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In this talk, I try to show that the sign problem of dense QCD is due to modes whose frequency is higher than the chemical potential. An effective theory of quasi-quarks near the Fermi surface has a positive measure in the leading order.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Deog Ki Hong

In this paper, the structure of the nearly invariant subspaces for discrete semigroups generated by several (even infinitely many) automorphisms of the unit disc is described. As part of this work, the near $S^*$-invariance property of the…

Functional Analysis · Mathematics 2024-03-26 Yuxia Liang , Jonathan R. Partington

We discuss the possibility to represent smooth nonnegative matrix-valued functions as finite linear combinations of fixed matrices with positive real-valued coefficients whose square roots are Lipschitz continuous. This issue is reduced to…

Optimization and Control · Mathematics 2007-06-04 N. V. Krylov

We develop causality theory for upper semi-continuous distributions of cones over manifolds generalizing results from mathematical relativity in two directions: non-round cones and non-regular differentiability assumptions. We prove the…

General Relativity and Quantum Cosmology · Physics 2019-03-06 E. Minguzzi

New family of extended Cauchy type identities is found and related Fermat type matrices are provided ready for applications in extended scope. This is achieved due to the use specifically non-commuting variables of extended finite operator…

Combinatorics · Mathematics 2008-02-11 A. KL. Kwasniewski

Unimodal univariate distributions can be characterized as piecewise convex-concave cumulative distribution functions. In this note we transfer this shape constraint characterization to the quantile function. We show that this…

Statistics Theory · Mathematics 2026-02-16 Markus Zobel , Axel Munk

The ring of cyclic quasi-symmetric functions and its non-Escher subring are introduced in this paper. A natural basis consists of fundamental cyclic quasi-symmetric functions; for the non-Escher subring they arise as toric $P$-partition…

Combinatorics · Mathematics 2020-05-27 Ron M. Adin , Ira M. Gessel , Victor Reiner , Yuval Roichman

In this paper, we relate the notions of remote almost periodicity and quasi-asymptotical almost periodicity; in actual fact, we observe that a remotely almost periodic function is nothing else but a bounded, uniformly continuous…

Classical Analysis and ODEs · Mathematics 2021-07-08 Marko Kostic , Vipin Kumar

A classification theorem for nearly K\"ahler manifolds of constant antiholomorphic sectional curvature is proved.

Differential Geometry · Mathematics 2010-09-15 Georgi Ganchev , Ognian Kassabov

The $q$-Whittaker function $W_\lambda(\mathbf{x};q)$ associated to a partition $\lambda$ is a $q$-analogue of the Schur function $s_\lambda(\mathbf{x})$, and is defined as the $t=0$ specialization of the Macdonald polynomial…

Combinatorics · Mathematics 2025-02-11 Steven N. Karp , Hugh Thomas

This paper is to characterize piecewise continuous almost periodic functions as the product of Bohr almost periodic functions and sequences. As an application, the result is used to discuss piecewise continuous almost periodic solutions of…

Classical Analysis and ODEs · Mathematics 2018-02-27 Liangping Qi , Rong Yuan

We extend to a functional setting the concept of quermassintegrals, well-known within the Minkowski theory of convex bodies. We work in the class of quasi-concave functions defined on the Euclidean space, and with the hierarchy of their…

Metric Geometry · Mathematics 2012-10-25 Sergey Bobkov , Andrea Colesanti , Ilaria Fragalà

We adapt Grayson's model of higher algebraic $K$-theory using binary acyclic complexes to the setting of stable $\infty$-categories. As an application, we prove that the $K$-theory of stable $\infty$-categories preserves infinite products.

K-Theory and Homology · Mathematics 2020-01-22 Daniel Kasprowski , Christoph Winges

For a flat proper morphism of finite presentation between schemes with almost coherent structural sheaves (in the sense of Faltings), we prove that the higher direct images of quasi-coherent and almost coherent modules are quasi-coherent…

Algebraic Geometry · Mathematics 2025-01-17 Tongmu He

We study some notions of cohomology for asymptotically additive sequences and prove a Liv\v{s}ic-type result for almost additive sequences of potentials. As a consequence, we are able to characterize almost additive sequences based on their…

Dynamical Systems · Mathematics 2023-07-24 Carllos Eduardo Holanda , Eduardo Santana

In the paper where he defined the Cauchy completion of a $\mathscr{V}$-category, Lawvere also defined a condition on a $\mathscr{V}$-functor which made it analogous to a map of metric spaces whose image is topologically dense in its…

Category Theory · Mathematics 2025-07-11 Adrián Doña Mateo

We study absolute-continuity properties of a class of stochastic processes, including the gamma and the Dirichlet processes. We prove that the laws of a general class of non-linear transformations of such processes are locally equivalent to…

Probability · Mathematics 2007-06-21 Max-K. Von Renesse , Marc Yor , Lorenzo Zambotti

We show that Shelah cardinals are preserved under the canonical $GCH$ forcing notion. We also show that if $GCH$ holds and $F:REG\rightarrow CARD$ is an Easton function which satisfies some weak properties, then there exists a cofinality…

Logic · Mathematics 2016-09-28 Mohammad Golshani

In this paper, we analyze multi-dimensional quasi-asymptotically $c$-almost periodic functions and their Stepanov generalizations as well as multi-dimensional Weyl $c$-almost periodic type functions. We also analyze several important…

Functional Analysis · Mathematics 2021-03-31 Marko Kostić

In the first part, we further advance the study of category theory in a strong balanced factorization category C [Pisani, 2008], a finitely complete category endowed with two reciprocally stable factorization systems such that X \to 1 is in…

Category Theory · Mathematics 2009-04-27 Claudio Pisani