Centre de Recerca Matemàtica: Recent submissions
Now showing items 261-280 of 1369
The beauty of language structure: A single-case fMRI study of palindrome creation
Humans seem to be inherently driven to engage in wordplay. An example is the creation of palindromes – sentences that read the same backward and forward. This activity can be framed as a curiosity-driven behaviour, in which ...
Normalizers of chains of discrete p-toral subgroups in compact Lie groups
In this paper we study the normalizer decomposition of a compact Lie group G using the information of the fusion system F of G on a maximal discrete p-toral subgroup. We prove that there is an injective map from the set ...
Convergence of linear combinations of iterates of an inner function
Let f be an inner function with f(0)=0 which is not a rotation and let fn be its n-th iterate. Let {an} be a sequence of complex numbers. We prove that the series ∑anfn(ξ) converges at almost every point ξ of the unit ...
A proxy-based model for estimating VS30 in the Iberian Peninsula
The time-averaged shear-wave velocity in the upper 30 m of the ground, VS30, is a key soil descriptor for estimating site response despite its recognized limitations. It is employed in both, site-specific probabilistic ...
Universality of Euler flows and flexibility of Reeb embeddings
The dynamics of an inviscid and incompressible fluid flow on a Riemannian manifold is governed by the Euler equations. Recently, Tao [38,39] launched a programme to address the global existence problem for the Euler and ...
Transcranial, Non-Invasive Evaluation of Potential Misery Perfusion during Hyperventilation Therapy of Traumatic Brain Injury Patients
Hyperventilation (HV) therapy uses vasoconstriction to reduce intracranial pressure (ICP) by reducing cerebral blood volume. However, as HV also lowers cerebral blood flow (CBF), it may provoke misery perfusion (MP), in ...
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 ...
