CRM Articles: Recent submissions
Now showing items 101-120 of 713
A Morphospace Exploration Using a General Model of Development Reveals a Basic Set of Morphologies for Early Animal Development and Evolution
What morphologies are more likely to appear during evolution is a central question in zoology. Here we offer a novel approach to this question based on first developmental principles. We assumed that morphogenesis results ...
Universal finite-time scaling in the transcritical, saddle-node, and pitchfork discrete and continuous bifurcations
Bifurcations are one of the most remarkable features of dynamical systems. Corral et al. [Sci. Rep. 8(11783), 2018] showed the existence of scaling laws describing the transient (finite-time) dynamics in discrete dynamical ...
A note on Hilbert 16th problem
The position of cells during development is constantly subject to noise, i.e. cell-level noise. We do not yet fully understand how cell-level noise coming from processes such as cell division or movement leads to morphological ...
Bernstein-Sato polynomial and related invariants for meromorphic functions
We develop a theory of Bernstein-Sato polynomials for meromorphic functions. As a first application we study the poles of Archimedian local zeta functions for meromorphic germs. We also present a theory of multiplier ideals ...
Global bifurcation in a virus, defective genomes, satellite RNAs tripartite system: Breakdown of a coexistence quasi-neutral curve
The dynamics of wild-type (wt) RNA viruses and their defective viral genomes (DVGs) have been extensively studied both experimentally and theoretically. This research has paid special attention to the interference effects ...
Boundary dynamics in unbounded Fatou components
We study the behaviour of a transcendental entire map f : C-+ C on an unbounded invariant Fatou component U, assuming that infinity is accessible from U. It is well-known that U is simply connected. Hence, by means of a ...
The stratification by automorphism groups of smooth plane sextic curves
We obtain the list of automorphism groups for smooth plane sextic curves over an algebraically closed field K of characteristic p=0 or p>21. Moreover, we assign to each group a geometrically complete family overK that ...
Holomorphic motions, natural families of entire maps, and multiplier-like objects for wandering domains
Structural stability of holomorphic functions has been the subject of much research in the last fifty years. Due to various technicalities, however, most of that work has focused on so-called finite-type functions (functions ...
Limits of chordal graphs with bounded tree-width
We study random k-connected chordal graphs with bounded tree-width. Our main results are scaling limits and quenched local limits.
Motivic congruences and Sharifi's conjecture
Let f be a cuspidal eigenform of weight two and level N , let p N be a prime at which f is congruent to an Eisenstein series and let V(f )denote the p-adic Tate module off. Beilinson constructed a class kappa f is an element ...
Fluctuation-driven plasticity allows for flexible rewiring of neuronal assemblies
The position of cells during development is constantly subject to noise, i.e. cell-level noise. We do not yet fully understand how cell-level noise coming from processes such as cell division or movement leads to morphological ...
The Diffusion Equation Involving the Dunkl-Laplacian Operator in a Punctured Domain
The purpose of this paper is to establish solvability results for both direct and inverse problems associated with the diffusion equation involving the Dunkl-Laplacian operator in a punctured domain. We demonstrate the ...
LYUBEZNIK TABLE OF Sr AND CMr RINGS
We describe the shape of the Lyubeznik table of either rings in positive characteristic or Stanley-Reisner rings in any characteristic when they satisfy Serre's condition Sr or they are Cohen-Macaulay in a given codimension, ...
On surjectivity in tensor triangular geometry
We prove that a jointly conservative family of geometric functors between rigidly-compactly generated tensor triangulated categories induces a surjective map on Balmer spectra. From this we deduce a fiberwise criterion for ...
A unified approach to self-improving property via K-functionals
In this paper we obtain new quantitative estimates that improve the classical inequalities: Poincar & eacute;-Ponce, Gaussian Sobolev, and John-Nirenberg. Our method is based on the K-functionals and allows one to derive ...
On the Arnold Diffusion Mechanism in Medium Earth Orbit
Space debris mitigation guidelines represent the most effective method to preserve the circumterrestrial environment. Among them, end-of-life disposal solutions play a key role. In this regard, effective strategies should ...
Rectangulotopes
Rectangulations are decompositions of a square into finitely many axis-aligned rectangles. We describe realizations of (n - 1)- dimensional polytopes associated with two combinatorial families of rectangulations composed ...
Convergence of generalized MIT bag models to Dirac operators with zigzag boundary conditions
This work addresses the resolvent convergence of generalized MIT bag operators to Dirac operators with zigzag type boundary conditions. We prove that the convergence holds in strong but not in norm resolvent sense. Moreover, ...
Fractional wave equation with irregular mass and dissipation
In this paper, we pursue our series of papers aiming to show the applicability of the concept of very weak solutions. We consider a wave model with irregular position-dependent mass and dissipation terms, in particular, ...
Topological Entropy, Sets of Periods, and Transitivity for Circle Maps
Transitivity, the existence of periodic points, and positive topological entropy can be used to characterize complexity in dynamical systems. It is known that, for every graph that is not a tree and any epsilon > 0, there ...
