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We establish that a mode-coupling approximation for the dynamics of multi-component systems obeying Smoluchowski dynamics preserves a subtle yet fundamental property: the matrices of partial density correlation functions are completely…

Soft Condensed Matter · Physics 2011-08-12 T. Franosch , Th. Voigtmann

An Independent Parallelism Theorem is proven in the theory of adhesive HLR categories. It shows the bijective correspondence between sequential independent and parallel independent direct derivations in the Weak Double-Pushout framework,…

Category Theory · Mathematics 2019-07-17 Thierry Boy de la Tour

We discuss residual finiteness and several related separability conditions for the class of monoid acts, namely weak subact separability, strong subact separability and complete separability. For each of these four separability conditions,…

Group Theory · Mathematics 2022-04-08 Craig Miller

We study the structure of bounded linear functionals on a class of non-self-adjoint operator algebras that includes the multiplier algebra of every complete Nevanlinna-Pick space, and in particular the multiplier algebra of the…

Operator Algebras · Mathematics 2016-01-20 Matthew Kennedy , Dilian Yang

Blowing up a rational surface singularity in a reflexive module gives a (any) partial resolution dominated by the minimal resolution. The main theorem shows how deformations of the pair (singularity, module) relates to deformations of the…

Algebraic Geometry · Mathematics 2019-01-21 Trond Stølen Gustavsen , Runar Ile

We prove that a weak $\mathbb{Q}$-Fano $3$-fold with terminal singularities has unobstructed deformations. By using this result and computing some invariants of a terminal singularity, we provide two results on global deformation of a weak…

Algebraic Geometry · Mathematics 2017-09-12 Taro Sano

We show a cancellation property for probabilistic choice. If distributions mu + rho and nu + rho are branching probabilistic bisimilar, then distributions mu and nu are also branching probabilistic bisimilar. We do this in the setting of a…

Logic in Computer Science · Computer Science 2023-09-15 Rob van Glabbeek , Jan Friso Groote , Erik de Vink

In the authors's previous work on symmetric differentials and their connection to the topological properties of the ambient manifold, a class of symmetric differentials was introduced: closed symmetric differentials ([BoDeO11] and…

Algebraic Geometry · Mathematics 2014-10-07 Fedor Bogomolov , Bruno De Oliveira

Generalized topological spaces are not necessarily closed under finite intersections. Moreover, the whole universe does not need to be open. We use modified version of this framework to establish certain models for non-normal modal logics.…

Logic · Mathematics 2020-05-28 Tomasz Witczak

We extend the notions of multipole and subsystem symmetries to more general {\it spatially modulated} symmetries. We uncover two instances with exponential and (quasi)-periodic modulations, and provide simple microscopic models in one, two…

Statistical Mechanics · Physics 2021-10-19 Pablo Sala , Julius Lehmann , Tibor Rakovszky , Frank Pollmann

Bivariate generating functions for various subsets of the class of permutations containing no descending sequence of length three or more are determined. The notion of absolute indecomposability of a permutation is introduced, and used in…

Combinatorics · Mathematics 2015-08-07 Michael H. Albert

This paper concerns with the compressible two-fluid model with algebraic pressure closure. We prove a conditional weak-strong uniqueness principle, meaning that a finite energy weak solution, with bounded densities, coincides with the…

Analysis of PDEs · Mathematics 2021-12-02 Yang Li , Ewelina Zatorska

A directed percolation process with two symmetric particle species exhibiting exclusion in one dimension is investigated numerically. It is shown that if the species are coupled by branching ($A\to AB$, $B\to BA$) a continuous phase…

Statistical Mechanics · Physics 2009-10-31 Geza Odor

We present a relatively simple description of binary, definable subsets of models of weakly quasi-o-minimal theories. In particular, we closely describe definable linear orders and prove a weak version of the monotonicity theorem. We also…

Logic · Mathematics 2021-06-01 Slavko Moconja , Predrag Tanović

Unimodal (i.e. single-humped) permutations may be decomposed into a product of disjoint cycles. Some enumerative results concerning their cyclic structure -- e.g. 2/3 of them contain fixed points -- are given. We also obtain in effect a…

Dynamical Systems · Mathematics 2007-05-23 T. Gannon

We deal with a notion of weak binormal and weak principal normal for non-smooth curves of the Euclidean space with finite total curvature and total absolute torsion. By means of piecewise linear methods, we first introduce the analogous…

Differential Geometry · Mathematics 2020-05-19 Domenico Mucci , Alberto Saracco

In this paper we provide an axiomatic characterization of the idempotent discrete uninorms by means of three conditions only: conservativeness, symmetry, and nondecreasing monotonicity. We also provide an alternative characterization…

Rings and Algebras · Mathematics 2018-01-08 Miguel Couceiro , Jimmy Devillet , Jean-Luc Marichal

We study a special class of weakly associative algebras: the symmetric Leibniz algebras. We describe the structure of the commutative and skew symmetric algebras associated with the polarization-depolarization principle. We also give a…

Rings and Algebras · Mathematics 2020-08-04 Elisabeth Remm

A monolithic process is a single recursive equation with data parameters, which only uses non-determinism, action prefixing, and recursion. We present a technique that decomposes such a monolithic process into multiple processes where each…

Logic in Computer Science · Computer Science 2021-10-04 Maurice Laveaux , Tim A. C. Willemse

A weak multiplier Hopf algebra is a pair (A,\Delta) of a non-degenerate idempotent algebra A and a coproduct $\Delta$ on A. The coproduct is a coassociative homomorphism from A to the multiplier algebra M(A\otimes A) with some natural extra…

Rings and Algebras · Mathematics 2012-10-17 Alfons Van Daele , Shuanhong Wang
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