CRM Articles: Recent submissions
Now showing items 81-100 of 656
The Cuntz semigroup of a ring
For any ring R, we introduce an invariant in the form of a partially ordered abelian semigroup S(R)built from an equivalence relation on the class of countably generatedprojective modules. We call S(R)the Cuntz semigroup ...
Mixing and ergodicity of compositions of inner functions
We study ergodic and mixing properties of non-autonomous dynamics on the unit circle generated by inner functions fixing the origin.
Analytic mappings of the unit disk which almost preserve hyperbolic area
In this paper, we study analytic self-maps of the unit disk which distort hyperbolic areas of large hyperbolic disks by a bounded amount. We give a number of characterizations involving angular derivatives, Lipschitz ...
Semiconvexity estimates for nonlinear integro-differential equations
In this paper we establish for the first time local semiconvexity estimates for fully nonlinear equations and for obstacle problems driven by integro-differential operators with general kernels. Our proof is based on the ...
A counterexample to the singular Weinstein conjecture
In this article, we study the dynamical properties of Reeb vector fields on b- contact manifolds. We show that in dimension 3, the number of so-called singular periodic orbits can be prescribed. These constructions illuminate ...
Dynamics of projectable functions: towards an atlas of wandering domains for a family of Newton maps
We present a one-parameter family F(lambda )of transcendental entire functions with zeros, whose Newton's method yields wandering domains, coexisting with the basins of the roots of F-lambda. Wandering domains for Newton ...
Computer-assisted proofs of existence of fiberwise hyperbolic invariant tori in quasi-periodic systems via Fourier methods
The goal of this paper is to provide a methodology to prove the existence of (fiberwise hyperbolic) real-analytic invariant tori in real-analytic quasi-periodic skew-product dynamical systems that present nearly-invariant ...
Invariant manifolds near L1 and L2 in the Sun-Jupiter elliptic restricted three-body problem II: the dynamics of comet Oterma
Comet 39P/Oterma is known to make fast transitions between heliocentric orbits outside the orbit of Jupiter and heliocentric orbits inside that of Jupiter. In this paper, the dynamics of comet Oterma is modelled and fitted ...
Chaotic Dynamics at the Boundary of a Basin of Attraction via Non-transversal Intersections for a Non-global Smooth Diffeomorphism
In this paper, we give analytic proofs of the existence of transversal homoclinic points for a family of non-globally smooth diffeomorphisms having the origin as a fixed point which come out as a truncated map governing ...
More limit cycles for complex differential equations with three monomials
In this paper we improve, by almost doubling, the existing lower bound for the number of limit cycles of the family of complex differential equations with three monomials, z(center dot) = Azkzl + Bzmzn + Czpzq, being k,l, ...
Determination of Initial Data in the Time-Fractional Pseudo-Hyperbolic Equation
We examine a time-fractional pseudo-hyperbolic equation involving positive operators. We explore the determination of initial velocity and perturbation. It is demonstrated that these initial inverse problems are ill posed. ...
From Abel's differential equations to Hilbert's 16th problem
The study of the limit cycles of planar polynomial differential equations is motivated both by its appearance in many mathematical models of the real-world as for the second part of Hilbert's 16th problem. In this work we ...
good : An R package for modelling count data
Organisms-related data often appear as counts. The Poisson distribution is the most popular choice for modelling count data, but this distribution assumes equidispersion, which is usually not satisfied in real-world data. ...
Truncated Smooth Function Spaces
We introduce truncated Besov and Triebel-Lizorkin function spaces and study their main properties: embeddings, interpolation, duality, lifting, traces. These new scales allow us to improve several known results in functional ...
On The Basin Of Attraction Of A Critical Three-Cycle Of A Model For The Secant Map
We consider the secant method S-p applied to a real polynomial p of degree d + 1 as a discrete dynamical system on R-2. If the polynomial p has a local extremum at a point alpha then the discrete dynamical system generated ...
On the consistency of circuit lower bounds for non-deterministic time
We prove the first unconditional consistency result for superpolynomial circuit lower bounds with a relatively strong theory of bounded arithmetic. Namely, we show that the theory V20 is consistent with the conjecture that ...
Emergence of cyclic hypoxia and the impact of PARP inhibitors on tumor progression
Tumor hypoxia is a dynamic phenomenon marked by fluctuations in oxygen levels across both rapid (seconds to minutes) and slow (hours to days) time scales. While short hypoxia cycles are relatively well understood, the ...
Is it time to move on from the Bohart-Adams model for column adsorption?
The Bohart-Adams model provides a standard expression for the breakthrough curve of contaminant at the outlet of a packed column. It is a basic building block for analysis and computations in the field. In this paper we ...
Fatty acid synthase (FASN) is a tumor-cell-intrinsic metabolic checkpoint restricting T-cell immunity
Fatty acid synthase (FASN)-catalyzed endogenous lipogenesis is a hallmark of cancer metabolism. However, whether FASN is an intrinsic mechanism of tumor cell defense against T cell immunity remains unexplored. To test this ...
On Darmon’s program for the generalized Fermat equation, II
We obtain additional Diophantine applications of the methods surrounding Darmon's program for the generalized Fermat equation developed in the first part of this series of papers. As a first application, we use a multi-Frey ...
