CRM Articles: Recent submissions
Now showing items 201-220 of 713
Empirical modeling and prediction of neuronal dynamics
Mathematical modeling of neuronal dynamics has experienced a fast growth in the last decades thanks to the biophysical formalism introduced by Hodgkin and Huxley in the 1950s. Other types of models (for instance, integrate ...
Enumeration of rooted 3-connected bipartite planar maps; [Énumération des cartes planaires enracinées biparties et 3-connexes]
We provide the first solution to the problem of counting rooted 3-connected bipartite planar maps. Our starting point is the enumeration of bicoloured planar maps according to the number of edges and monochromatic edges, ...
Tent Carleson measures for Hardy spaces
We completely characterize those positive Borel measures μ on the unit ball Bn such that the Carleson embedding from Hardy spaces Hp into the tent-type spaces Tsq(μ) is bounded, for all possible values of 0<p,q,s<∞. © 2024 ...
Discrete Degree of Symmetry of Manifolds
We define the discrete degree of symmetry disc-sym(X) of a closed n-manifold X as the biggest m≥0 such that X supports an effective action of (Z/r)m for arbitrarily big values of r. We prove that if X is connected then ...
Expected Energy of Zeros of Elliptic Polynomials
In 2011, Armentano, Beltrán and Shub obtained a closed expression for the expected logarithmic energy of the random point process on the sphere given by the roots of random elliptic polynomials. We consider a different ...
A modified parameterization method for invariant Lagrangian tori for partially integrable Hamiltonian systems
In this paper we present an a-posteriori KAM theorem for the existence of an (n−d)-parameter family of d-dimensional isotropic invariant tori with Diophantine frequency vector ω∈Rd, of type (γ,τ), for n degrees of freedom ...
Inverse source problem for the pseudoparabolic equation associated with the Jacobi operator
In this paper, we investigate direct and inverse problems for time-fractional pseudoparabolic equations associated with the Jacobi operator. The existence and uniqueness of the solutions are proven. Also, the stability ...
An analytical investigation into solute transport and sorption via intra-particle diffusion in the dual-porosity limit
We develop a mathematical model for adsorption based on averaging the flow around, and diffusion inside, adsorbent particles in a column. The model involves three coupled partial differential equations for the contaminant ...
Schrödinger-Maxwell equations driven by mixed local-nonlocal operators
In this paper we prove existence of solutions to Schrödinger-Maxwell type systems involving mixed local-nonlocal operators. Two different models are considered: classical Schrödinger-Maxwell equations and Schrödinger-Maxwell ...
Chordal graphs with bounded tree-width
Given t≥2 and 0≤k≤t, we prove that the number of labelled k-connected chordal graphs with n vertices and tree-width at most t is asymptotically cn−5/2γnn!, as n→∞, for some constants c,γ>0 depending on t and k. Additionally, ...
New slope inequalities for families of complete intersections
We prove f -positivity of OX .1/ for arbitrary dimensional fibrations over curves f : X → B whose general fibre is a complete intersection. In the special case where the family is a global complete intersection, we prove ...
Moments of undersampled distributions: Application to the size of epidemics
The total number of fatalities of an epidemic outbreak is a dramatic but extremely informative quantity. Knowledge of the statistics of this quantity allows the calculation of the mean total number of fatalities conditioned ...
Optimal regularity for supercritical parabolic obstacle problems
We study the obstacle problem for parabolic operators of the type (Formula presented.), where L is an elliptic integro-differential operator of order 2s, such as (Formula presented.), in the supercritical regime (Formula ...
An equivariant Reeb–Beltrami correspondence and the Kepler–Euler flow
We prove that the correspondence between Reeb and Beltrami vector fields presented in Etnyre & Ghrist (Etnyre, Ghrist 2000 Nonlinearity 13, 441–458 (doi:10.1088/0951-7715/13/2/306)) can be made equivariant whenever additional ...
Investigating the impact of adsorbent particle size on column adsorption kinetics through a mathematical model
Experimental data demonstrates that the breakthrough curves of column adsorption exhibit qualitative differences related to the size of the adsorbent particles. Standard models do not account for particle size, consequently, ...
Traces on ultrapowers of C*-algebras
Using Cuntz semigroup techniques, we characterize when limit traces are dense in the space of all traces on a free ultrapower of a C*-algebra. More generally, we consider density of limit quasitraces on ultraproducts of ...
Identifiability in robust estimation of tree structured models
Consider the problem of learning undirected graphical models on trees from corrupted data. Recently Katiyar, Shah, and Caramanis showed that it is possible to recover trees from noisy binary data up to a small equivalence ...
The second fundamental form on the moduli space of cubic threefolds in A5
We study the second fundamental form of the Siegel metric in A5 restricted to the locus of intermediate Jacobians of cubic threefolds. We prove that the image of this second fundamental form, which is known to be non-trivial, ...
On the optimal effective stability bounds for quasi-periodic tori of finitely differentiable and Gevrey Hamiltonians
It is known that a Diophantine quasi-periodic torus with frequency ω∈Ωτd of a Cl Hamiltonian is effectively stable for a time T(r) that is polynomial on the inverse of the distance to the torus, that we denote by r, with ...
Time-reversibility and integrability of p: −q resonant vector fields
We study the local analytical integrability in a neighborhood of p: −q resonant singular point of a two-dimensional vector field and its connection to time-reversibility with respect to the non-smooth involution ϕ(x, y) = ...
