CRM Articles: Recent submissions
Now showing items 321-340 of 719
Asymptotics of Twisted Alexander Polynomials and Hyperbolic Volume
For a hyperbolic knot and a natural number n, we consider the Alexander polynomial twisted by the n-th symmetric power of a lift of the holonomy. We establish the asymptotic behavior of these twisted Alexander polynomials ...
Discrete Melnikov functions
We consider non-autonomous N-periodic discrete dynamical systems of the form (Formula presented.) having when (Formula presented.) an open continuum of initial conditions such that the corresponding sequences are N-periodic. ...
A method to predict the response to directional selection using a Kalman filter
Predicting evolution remains challenging. The field of quantitative genetics provides predictions for the response to directional selection through the breeder's equation, but these predictions can have errors. The sources ...
Mechano-chemical feedback mediated competition for BMP signalling leads to pattern formation
Developmental patterning is thought to be regulated by conserved signalling pathways. Initial patterns are often broad before refining to only those cells that commit to a particular fate. However, the mechanisms by which ...
Oscillatory motions and parabolic manifolds at infinity in the planar circular restricted three body problem
Consider the Restricted Planar Circular 3 Body Problem. If the trajectory of the body of zero mass is defined for all time, it can have the following four types of asymptotic motion when time tends to infinity forward or ...
Removable singularities for Lipschitz caloric functions in time varying domains
In this paper we study removable singularities for regular .1; 1=2/-Lipschitz solutions of the heat equation in time varying domains. We introduce an associated Lipschitz caloric capacity and we study its metric and geometric ...
Butterfly-parasitoid-hostplant interactions in Western Palaearctic Hesperiidae: a DNA barcoding reference library
The study of ecological interactions between plants, phytophagous insects and their natural enemies is an essential but challenging component for understanding ecosystem dynamics. Molecular methods such as DNA barcoding ...
NEW ESTIMATES FOR THE MAXIMAL FUNCTIONS AND APPLICATIONS
In this paper we study sharp pointwise inequalities for maximal operators. In particular, we strengthen DeVore's inequality for the moduli of smoothness and a logarithmic variant of Bennett-DeVore-Sharpley's inequality for ...
FORWARD TRIPLETS AND TOPOLOGICAL ENTROPY ON TREES
We provide a new and very simple criterion of positive topological entropy for tree maps. We prove that a tree map f has positive entropy if and only if some iterate fk has a periodic orbit with three aligned points ...
FILTERED A-INFINITY STRUCTURES IN COMPLEX GEOMETRY
We prove a filtered version of the Homotopy Transfer Theorem which gives an A-infinity algebra structure on any page of the spectral sequence associated to a filtered dg-algebra. We then develop various applications to the ...
Integrable Systems on Singular Symplectic Manifolds: From Local to Global
In this article, we consider integrable systems on manifolds endowed with symplectic structures with singularities of order one. These structures are symplectic away from a hypersurface where the symplectic volume goes ...
Voluntary self-initiation of the stimuli onset improves working memory and accelerates visual and attentional processing
The ability of an organism to voluntarily control the stimuli onset modulates perceptual and attentional functions. Since stimulus encoding is an essential component of working memory (WM), we conjectured that controlling ...
Étale cohomology, purity and formality with torsion coefficients
We use Galois group actions on étale cohomology to prove results of formality for dg-operads and dg-algebras with torsion coefficients. Our theory applies, among other related objects, to the dg-operad of singular chains ...
Enumeration of chordal planar graphs and maps
We determine the number of labelled chordal planar graphs with n vertices, which is asymptotically g⋅n−5/2γnn! for a constant g>0 and γ≈11.89235. We also determine the number of rooted simple chordal planar maps with n ...
A fractional Michael–Simon Sobolev inequality on convex hypersurfaces
The classical Michael–Simon and Allard inequality is a Sobolev inequality for functions defined on a submanifold of Euclidean space. It is governed by a universal constant independent of the manifold, thanks to an additional ...
Flexible integration of continuous sensory evidence in perceptual estimation tasks
Temporal accumulation of evidence is crucial for making accurate judgments based on noisy or ambiguous sensory input. The integration process leading to categorical decisions is thought to rely on competition between neural ...
On the expected number of perfect matchings in cubic planar graphs
A well-known conjecture by Lov'asz and Plummer from the 1970s asserted that a bridgeless cubic graph has exponentially many perfect matchings. It was solved in the affirmative by Esperet et al. ([13]). On the other hand, ...
The Canny–Emiris Conjecture for the Sparse Resultant
We present a product formula for the initial parts of the sparse resultant associated with an arbitrary family of supports, generalizing a previous result by Sturmfels. This allows to compute the homogeneities and degrees ...
Uniqueness of the limit cycles for complex differential equations with two monomials
We prove that any complex differential equation with two monomials of the form z˙=azkz¯l+bzmz¯n, with k,l,m,n non-negative integers and a,b∈C, has one limit cycle at most. Moreover, we characterise when such a limit cycle ...
A mathematical model for the energy stored in green roofs
A simple mathematical model to estimate the energy stored in a green roof is developed. Analytical solutions are derived corresponding to extensive (shallow) and intensive (deep) substrates. Results are presented for the ...
