CRM Articles: Recent submissions
Now showing items 41-60 of 713
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 ...
Univalence of T-symmetric Suffridge type polynomials of degree 3T + 1
We show the univalence of T-symmetric Suffridge type polynomials S_4^(T) in the unit disk, confirming thereby the conjecture proposed by Dmitrishin, Gray, and Stokolos in their recent paper. The result also implies the ...
Strict rearrangement inequalities: Nonexpansivity and periodic Gagliardo seminorms
This paper deals with the behavior of the periodic Gagliardo semi-norm under two types of rearrangements, namely under a periodic, and respectively a cylindrical, symmetric decreasing rearrangement. Our two main results ...
Testing for the zero-altered Poisson distribution with positive data
This article proposes three new goodness-of-fit tests for the zero-altered Poisson distribution, or equivalently for the positive Poisson distribution, based on positive data, that is, data truncated at 0, whose test ...
Ergodicity of explicit logarithmic cocycles over IETs
We prove ergodicity in a class of skew-product extensions of interval exchange transformations given by cocycles with logarithmic singularities. This, in particular, provides explicit examples of ergodic R-extensions of ...
Limit cycles in piecewise quadratic Kolmogorov systems
We study planar piecewise quadratic differential systems of Kolmogorov type. Specifically, we consider systems with both coordinate axes invariant and with a separation line that is straight and distinct from the invariant ...
On the convergence of flow map parameterization methods for whiskered tori in quasi-periodic Hamiltonian systems
We obtain an a-posteriori theorem for the existence of partially hyperbolic invariant tori in analytic Hamiltonian systems: autonomous, periodic, and quasi-periodic. The method of proof is based on the convergence of a KAM ...
Local and global analysis of the displacement map for some near integrable systems
In this paper, we introduce an alternative method for applying averaging theory of orders 1 and 2 in the plane. This is done by combining Taylor expansions of the displacement map with the integral form of the Poincar & ...
The Lonely Runner Conjecture turns 60
The Lonely Runner Conjecture originated in Diophantine approximation is turning 60. Even if the conjecture is still widely open, the flow of partial results, innovative tools and connections to different problems and ...
Constructive approaches to QP-time-dependent KAM theory for Lagrangian tori in Hamiltonian systems
In this paper, we prove a KAM theorem in a-posteriori format, using the parameterization method to look invariant tori in non-autonomous Hamiltonian systems with n degrees of freedom that depend periodically or quasi-periodically ...
Entire functions with Cantor bouquet Julia sets
A hyperbolic transcendental entire function with connected Fatou set is said to be of disjoint type. It is known that the Julia set of a disjoint-type function of finite order is a Cantor bouquet; in particular, it is a ...
Boundedness for proper conflict-free and odd colorings
The proper conflict-free chromatic number, chi pcf(G), of a graph G is the least positive integer k such that G has a proper k-coloring in which for each non-isolated vertex there is a color appearing exactly once among ...
Geometric realizations of the s-weak order andits lattice quotients
For an n-tuple of nonnegative integers, the s-weak order is a lattice structure on s-trees, generalizing the weak order on permutations. We first describe the join irreducible elements, the canonical join representations, ...
Dynamical analysis of a model of BCL-2-dependent cellular decision making
The BCL-2 protein family governs critical cell-fate decisions between survival, senescence, and apoptosis, yet the dynamical principles underlying these choices remain poorly understood. Here, we integrate mathematical ...
Ergodic properties of infinite extension of symmetric interval exchange transformations
We prove that skew products with the cocycle given by the function f(x) = a(x − 1/2) with a ̸= 0 are ergodic for every ergodic symmetric IET in the base, thus giving the full characterization of ergodic extensions in ...
Affine interval exchange maps with a singular conjugacy to an IET
We produce affine interval exchange transformations (AIETs) which are topologically conjugated to (standard) interval exchange maps (IETs) via a singular conjugacy, i.e. a diffeomorphism h of [0,1] which is C0 but not C1 ...
On the ergodicity of infinite antisymmetric extensions of symmetric IETs
We consider skew product extensions over symmetric interval exchange transformations on the unit interval [0,1) with respect to the cocycle f = χ(0,½) - χ(½,1). We prove that for almost every interval exchange transformation ...
