CRM Articles: Enviaments recents
Ara mostrant els elements 81-100 de 713
Hydrodynamic and symbolic models of computation with advice
Dynamical systems and physical models defined on idealized continuous phase spaces are known to exhibit non-computable phenomena; examples include the wave equation, recurrent neural networks, or Julia sets in holomorphic ...
A Mathematical Exploration of SDH-b Loss in Chromaffin Cells
The succinate dehydrogenase (SDH) is a four-subunit enzyme complex (SDH-a, SDH-b, SDH-c, and SDH-d) central to cell carbon metabolism. The SDH bridges the tricarboxylic acid cycle to the electron transport chain. A ...
Local nearby bifurcations lead to synergies in critical slowing down: The case of mushroom bifurcations
The behavior of nonlinear systems near critical transitions has significant implications for stability, transients, and resilience in complex systems. Transient times, τ, become extremely long near phase transitions (or ...
A practical aerodynamic model for dynamic textile manipulation in robotics
We study an aerodynamic model describing the interaction between cloth and air, with applications to dynamic textile manipulation by robots. After introducing the model, we investigate its theoretical implications by using ...
Stability of the Concentration Inequality on Polynomials
In this paper, we study the stability of the concentration inequality for one-dimensional complex polynomials. We provide the stability of the local concentration inequality and a global version using a Wehrl-type entropy.
Periodic orbits and Birkhoff sections of stable Hamiltonian structures
Stable Hamiltonian structures generalize contact forms and define a volumepreserving vector field known as the Reeb vector field. We study two aspects of Reeb vector fields defined by stable Hamiltonian structures on ...
Hochschild polytopes
The (m, n)-multiplihedron is a polytope whose faces correspond to m-painted n-trees, and whose oriented skeleton is the Hasse diagram of the rotation lattice on binary m-painted n-trees. Deleting certain inequalities from ...
Sampling discretization in Orlicz spaces
We obtain new sampling discretization results in Orlicz norms on finite dimensional spaces. As applications, we study sampling recovery problems, where the error of the recovery process is calculated with respect to different ...
On small breathers of nonlinear Klein-Gordon equations via exponentially small homoclinic splitting
Breathers are nontrivial time-periodic and spatially localized solutions of nonlinear dispersive partial differential equations (PDEs). Families of breathers have been found for certain integrable PDEs but are believed to ...
Boundary behaviour of universal covering maps
Let Ω⊂Cˆ be a multiply connected domain, and let π:D→Ω be a universal covering map. In this paper, we analyze the boundary behaviour of π, describing the interplay between radial limits and angular cluster sets, the ...
Mitochondrial priming and response to BH3 mimetics in “one-two punch” senogenic-senolytic strategies
A one-two punch sequential regimen of senescence-inducing agents followed by senolytic drugs has emerged as a novel therapeutic strategy in cancer. Unfortunately, cancer cells undergoing therapy-induced senescence (TIS) ...
Mathematical modelling of flow and adsorption in a gas chromatograph
In this paper, a mathematical model is developed to describe the evolution of the concentration of compounds through a gas chromatography column. The model couples mass balances and kinetic equations for all components. ...
On the cyclicity of hyperbolic polycycles
Let X be a planar smooth vector field with a polycycle Γn with n sides and all its corners, that are at most n singularities, being hyperbolic saddles. In this paper we study the cyclicity of Γn in terms of the hyperbolicity ...
Understanding How Chromatin Folding and Enzyme Competition Affect Rugged Epigenetic Landscapes
Epigenetics plays a key role in cellular differentiation and maintaining cell identity, enabling cells to regulate their genetic activity without altering the DNA sequence. Epigenetic regulation occurs within the context ...
An analytical model for column adsorption with two competing contaminants
We develop a mathematical model to describe an adsorption process where two contaminants are simultaneously removed from a fluid mixture as it flows through a packed column. Both species compete to occupy the available ...
Pitt-Type Inquality For p>q With GM-Condition
In this paper, we examine the results of the Pitt type for the Fourier transform, specifically focusing on scenarios where the parameter p is greater than q. Here, we show that for the Pitt inequality the ’if and only if’ ...
Pitt-Type Inequalities For General Monotone Functions
In this paper, we study Pitt-type results for the Fourier transform. A new class of general monotone functions is introduced as a subclass of BV functions, and basic properties are established. It is shown that GM(R; τ, ...
Cubic planar vector fields with high local cyclicity
In this paper, we present two new one-parameter families of cubic systems exhibiting twelve small-amplitude limit cycles for exceptional parameter values.
Periodic perturbation of a 3D conservative flow with a heteroclinic connection to saddle-foci
The 2-jet normal form of the elliptic volume-preserving Hopf-zero bifurcation provides a one- parameter family of volume-preserving vector fields with a pair of saddle-foci points whose 2-dimensional invariant manifolds ...
On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites
Motivated by the practical interest in the third-body perturbation as a natural cleaning mechanism for high-altitude Earth orbits, we investigate the dynamics stemming from the secular Hamiltonian associated with the lunar ...
