CRM Articles: Recent submissions
Now showing items 21-40 of 709
Multiscale modelling shows how cell-ECM interactions impact ECM fibre alignment and cell detachment
The extracellular matrix (ECM) is a dynamic network structure that surrounds, supports, and influences cell behaviour. It facilitates cell communication and plays an important role in cell functions such as growth and ...
Preface to the special issue Nonlinear processes in Fluid Dynamics
The Nonlinear Processes in Fluid Dynamics special issue covers a wide range of topics, from small-to large-scale phenomena and diverse applications, incorporating theoretical, numerical, and computational approaches. Our ...
Levels of cancellation for monoids and modules
Levels of cancellativity in commutative monoids M, determined by stable-rank values in Z(>0)boolean OR { infinity } for elements of M, are investigated. The behavior of the stable ranks of multiples ka , for k is an element ...
Model category structures on truncated multicomplexes for complex geometry
To a bicomplex one can associate two natural filtrations, the column and row filtrations, and then two associated spectral sequences. This can be generalized to N-multicomplexes. We present a family of model category ...
A rainbow Dirac theorem for loose Hamilton cycles in hypergraphs
A meta-conjecture of Coulson, Keevash, Perarnau, and Yepremyan [12] states that above the extremal threshold for a given spanning structure in a (hyper-)graph, one can find a rainbow version of that spanning structure in ...
Interval hypergraphic lattices
For a hypergraph H on [n], the hypergraphic poset PH is the transitive closure of the oriented skeleton of the hypergraphic polytope AH (the Minkowski sum of the standard simplices AH for all H is an element of H). ...
Computing phi(N) for an RSA module with a single quantum query
In this paper, we give a polynomial time algorithm to compute Phi(N) for an RSA module N using as input the order modulo N of a randomly chosen integer. This provides a new insight in the very important problem of factoring ...
The dynamical Cuntz semigroup and ideal-free quotients of Cuntz semigroups
We develop a theory of general quotients for W-and Cusemigroups beyond the case of quotients by ideals. To this end, we introduce the notion of a normal pair, which allows us to take quotients of W-semigroups in a similar ...
Pivot Polytopes of Products of Simplices and Shuffles of Associahedra
We provide a piecewise linear isomorphism from the normal fan of the pivot polytope of a product of simplices to the normal fan of a shuffle of associahedra.
Breakdown of homoclinic orbits to of the hydrogen atom in a circularly polarized microwave field
We consider the Rydberg electron in a circularly polarized microwave field, whose dynamics is described by a 2 d.o.f. Hamiltonian, which is a perturbation of size K > 0 of the standard rotating Kepler problem. In a rotating ...
Prediction of Individual Melodic Contour Processing in Sensory Association Cortices From Resting State Functional Connectivity
Recent studies suggest that it is possible to predict an individual brain's spatial activation pattern in response to a paradigm from their functional connectivity at rest (rsFC). However, it is unclear whether this ...
H-compactness for nonlocal linear operators in fractional divergence form
In this article, we study for the first time the regularity of the free boundary in the one-phase free boundary problem driven by a general nonlocal operator. Our main results establish that the free boundary is C-1,C-alpha ...
The Sun-Earth heteroclinics in restricted four-body non-autonomous models
This paper presents a combination of analytical and numerical techniques for computing natural heteroclinic connections between Sun-Earth quasi-periodic libration point orbits in non-autonomous restricted four-body models. ...
Statistical learning and representational drift: A dynamic substrate for memories
In many brain areas, neurons exhibit continuous changes in their tuning properties over days, even when supporting stable percepts and behaviors-a phenomenon termed representational drift. How do neuronal circuits maintain ...
Local construction of knotted screw dislocations in smectic liquid crystals
The goal of this work is to show that, mathematically, screw dislocation loops with distinct topological properties can be introduced locally on a given smectic liquid crystal configuration. Concretely, given a configuration, ...
Improvement of flatness for nonlocal free boundary problems
In this article, we study for the first time the regularity of the free boundary in the one-phase free boundary problem driven by a general nonlocal operator. Our main results establish that the free boundary is C-1,C-alpha ...
Functional analogs of the Shephard, Busemann–Petty and Milman problems
The paper studies possible functional analogs of classical questions from convex geometry. In particular, we provide some bounds in the functional Shephard, Busemann-Petty and Milman problems generalizing known bounds in ...
2-Segal sets from cuts of rooted trees
The theory of 2-Segal sets has connections to various important constructions such as the Waldhausen S center dot-construction in algebraic K-theory, Hall algebras, and (co)operads. In this paper, we construct 2-Segal sets ...
Short Synchronizing Words for Random Automata
We prove that a uniformly random automaton with n states on a 2-letter alphabet has a synchronizing word of length O(n(1/2 )log n) with high probability (w.h.p.). That is to say, w.h.p. there exists a word omega of such ...
Development and experimental validation of a mathematical model for fluoride-removal filters comprising chemically treated mineral rich carbon
Excessive fluoride intake can lead to dental and skeletal fluorosis, among other health issues. Naturally occurring fluoride and industrial runoff can result in concentrations far exceeding the World Health Organization's ...
