CRM Articles: Recent submissions
Now showing items 261-280 of 713
Leavitt path algebras of weighted and separated graphs
In this paper, we show that Leavitt path algebras of weighted graphs and Leavitt path algebras of separated graphs are intimately related. We prove that any Leavitt path algebra of a row-finite vertex weighted graph is ...
The Neumann problem for the fractional Laplacian: regularity up to the boundary
We study the regularity up to the boundary of solutions to the Neumann problem for the fractional Laplacian. We prove that if u is a weak solution of (Formula Presented) up to the boundary for some α > 0. Moreover, in case ...
From 2N to Infinitely Many Escape Orbits
In this short note, we prove that singular Reeb vector fields associated with generic b -contact forms on three dimensional manifolds with compact embedded critical surfaces have either (at least) 2N or an infinite number ...
Principal bundle groupoids, their gauge group and their nerve
We consider groupoids in the category of principal bundles, which we call principal bundles (PB) groupoids. Inspired by work by Th. Nikolaus and K. Waldorf, we generalise bundle gerbes over manifolds to bundle gerbes over ...
HARDY INEQUALITIES FOR p-WEAKLY MONOTONE FUNCTIONS
We prove Hardy-type inequalities (Formula Presented) for the class of p-weakly monotone functions with q or p smaller than 1 and d ≥ 0. © 2023, Eurasian Mathematical Journal. All Rights Reserved.
Ultra log-concavity of discrete order statistics
In this work we show that discrete order statistics preserve log-concavity and ultra log-concavity. We use a recursive expression for discrete order statistics and the concept of synchronized sequences. This finding allows ...
Three essays on Machin's type formulas
We study three questions related to Machin's type formulas. The first one gives all two terms Machin formulas where both arctangent functions are evaluated 2-integers, that is values of the form b/2a for some integers a ...
STABLE SOLUTIONS TO SEMILINEAR ELLIPTIC EQUATIONS FOR OPERATORS WITH VARIABLE COEFFICIENTS
In this paper we extend the interior regularity results for stable solutions in [Cabré, Figalli, Ros-Oton, and Serra, Acta Math. 224 (2020)] to operators with variable coefficients. We show that stable solutions to the ...
SUBRESULTANTS AND THE SHAPE LEMMA
In nice cases, a zero-dimensional complete intersection ideal over a field has a Shape Lemma. There are also cases where the ideal is generated by the resultant and first subresultant polynomials of the generators. This ...
Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary
Given a smooth manifold M (with or without boundary), in this paper we establish a global functional calculus, without the standard assumption that the operators are classical pseudo-differential operators, and the Gårding ...
Reduction theory for singular symplectic manifolds and singular forms on moduli spaces
The investigation of symmetries of b-symplectic manifolds and folded-symplectic manifolds is well-understood when the group under consideration is a torus (see, for instance, [25,21,28] for b-symplectic manifolds and [12,14] ...
Probability of existence of limit cycles for a family of planar systems
The goal of this work is the study of the probability of occurrence of limit cycles for a family of planar differential systems that are a natural extension of linear ones. To prove our results we first develop several ...
On the safe storage of bagasse
In this paper, we investigate the thermal evolution in a one-dimensional bagasse stockpile. The mathematical model involves four unknowns: the temperature, oxygen content, liquid water content and water vapour content. We ...
Highest Cusped Waves for the Burgers–Hilbert Equation
In this paper we prove the existence of a periodic highest, cusped, traveling wave solution for the Burgers–Hilbert equation ft+ ffx= H[f] , and give its asymptotic behaviour at 0. The proof combines careful asymptotic ...
Existence of at most two limit cycles for some non-autonomous differential equations
It is know that the non-autonomous differential equations dx/dt = a(t)+b(t)|x|, where a(t) and b(t) are 1-periodic maps of class C1, have no upper bound for their number of limit cycles (isolated solutions satisfying x(0) ...
Contact structures with singularities: From local to global
In this article we introduce and analyze in detail singular contact structures, with an emphasis on bm-contact structures, which are tangent to a given smooth hypersurface Z and satisfy certain transversality conditions. ...
Designing Weights for Quartet-Based Methods When Data are Heterogeneous Across Lineages
Homogeneity across lineages is a general assumption in phylogenetics according to which nucleotide substitution rates are common to all lineages. Many phylogenetic methods relax this hypothesis but keep a simple enough ...
Constructions of b-semitoric systems
In this article, we introduce b-semitoric systems as a generalization of semitoric systems, specifically tailored for b-symplectic manifolds. The objective of this article is to furnish a collection of examples and investigate ...
Asymptotic Self-Similar Blow-Up Profile for Three-Dimensional Axisymmetric Euler Equations Using Neural Networks
Whether there exist finite-time blow-up solutions for the 2D Boussinesq and the 3D Euler equations are of fundamental importance to the field of fluid mechanics. We develop a new numerical framework, employing physics-informed ...
Cyclicity Near Infinity in Piecewise Linear Vector Fields Having a Nonregular Switching Line
In this paper we recover the best lower bound for the number of limit cycles in the planar piecewise linear class when one vector field is defined in the first quadrant and a second one in the others. In this class and ...
