This paper proves some conjectures raised by N. Bergeron, N. Cartier, C. Ceballos, and V. Pilaud about acyclic facets of subword complexes of type A Coxeter groups. We use a representation of subword complex facets extending the pipe dreams defined N...
Bonjour, Je sollicite votre aide concernant une situation d'urbanisme complexe suite à l'achat d'un bien immobilier. * La maison individuelle a été achetée en Septembre 2023, avec piscine et po...
We present a general stochastic dynamic model of a cluster of biological complexes with fluctuating dissociation and association rates. The master equation has analytical solutions in two limiting cases: the vanishing force with reflecting boundary...
In this paper, based on the same techniques as in \cite{BENZ08} for the construction of a formally smooth map $V \to Perf$ from the variety of complexes to the Artin $\infty$-stack $Perf$, we explicitly construct a new Artin $ \infty $-stack of Maure...
We employ techniques from topological data analysis to model sensor networks. Our approach to sensor integration uses the topological method of sheaves over cell complexes. The internal consistency of data from individual sensors is determined by a s...
Motivated by an application in cell biology, we consider spatial sorting processes defined by particles moving from an initial to a final configuration. We describe an algorithm for constructing a cell complex in space-time, called the medusa, that m...
We trace movements of certain points in space-time along their corresponding continuous path. We partition the space at every moment of time using alpha-Complexes, Voronoi medusa is then the collection or union of restricted Voronoi cells at every mo...
We present a novel method of associating Euclidean features to simplicial complexes, providing a way to use them as input to statistical and machine learning tools. This method extends the node2vec algorithm to simplices of higher dimensions, providi...
Cell spreading and motility on an adhesive substrate are driven by the active physical forces generated by the actin cytoskeleton. We have recently shown that coupling curved membrane complexes to protrusive forces, exerted by the actin polymerizatio...
Let Q be a finite quiver without sources, and A be the corresponding algebra with radical square zero. We construct an explicit compact generator for the homotopy category of acyclic complexes of projective A-modules. We call such a generator the pro...
The interaction between metallic and biological nanoparticles (NPs) is widely used in various biotechnology and biomedical applications. However, detailed characterization of this type of interaction is challenging due to a lack of high-throughput te...
The orientals or oriented simplexes are a family of strict omega-categories constructed by Ross Street. We show that the category of orientals is isomorphic to a subcategory of the category of chain complexes. This leads to a very simple combinator...
We study the mixed formulation of the abstract Hodge Laplacian on axisymmetric domains with general data through Fourer-finite-element-methods in weighted functions spaces. Closed Hilbert complexes and commuting projectors are used through a family o...
The Scarf complex for lattices is well understood and utilized. In 2014, the author expanded the use of the term Scarf complex to encompass an infinite set in $\mathbb{Z}^n$ that was generated via an action of a lattice $Λ\in\mathbb{Z}^n$ upon a fin...
Jan 3, 2021 · I hate Tik Tok and the God complexes it gave to Gen Z. It is all full of shit. I hate my own generation. It's not some kind of "I wish I was born into another generation" or some shit. I just hate …
following decades and consolidated networks in different Brazilian states. The Complexo do Alemão and Penha complexes became strategic areas for the CV for circulation
Hely provides shared transportation options for employers or residents at office buildings or housing complexes. Our offerings include shareable (electric) bicycles and cars located in on-site mobility hubs.
The shedding vertices of simplicial complexes are studied from an algebraic point of view. Based on this perspective, we introduce the class of ass-decomposable monomial ideals which is a generalization of the class of Stanley-Reisner ideals of verte...
Hely provides shared transportation options for employers or residents at office buildings or housing complexes. Our offerings include shareable (electric) bicycles and cars located in on-site mobility hubs.
For an associative ring $R$, the projective level of a complex $F$ is the smallest number of mapping cones needed to build $F$ from projective $R$-modules. We establish lower bounds for the projective level of $F$ in terms of the vanishing of homolog...