Universidad Politécnica Estatal del Carchi

output

20142026

most citedGlobal persistence of geometrical structures for the boussinesq equation with no diffusion

2 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

23 papers

cs.LO2026

A 2-adjunction between representations and preorder morphisms

Paul Brunet

The recently introduced model of representations has been defined and motivated somewhat ex-nihilo. In this document, I will show that representations are related to a more ''class…

math.FA2026

Traces of functions in Besov spaces in Gibbs environment

Quentin Rible, Stéphane Seuret

This paper investigates the traces of functions belonging to the inhomogeneous Besov spaces B $ξ$ p,q , where $ξ$ is a product of capacities defined as powers of Gibbs measures. We…

math.FA2026

A non-vanishing property for tensor products of wavelets

Quentin Rible, Stéphane Seuret

We prove that, given a wavelet $ψ$ , it is possible to choose some multi-integers $(p_{j} = (p_{j, 1}, ..., p_{j, d}))_{j \in Z} \in Z^{d}$ such that, for every $x=(x_1,...,…

cs.CY2025

Artificial Intelligence / Human Intelligence: Who Controls Whom?

Charlotte Jacquemot

Using the example of the film 2001: A Space Odyssey, this chapter illustrates the challenges posed by an AI capable of making decisions that go against human interests. But are hum…

cs.LO2025

Representations

Paul Brunet

The formal analysis of automated systems is an important and growing industry. This activity routinely requires new verification frameworks to be developed to tackle new programmin…

math.PR2025

Hitting Probabilities and the Ekstr{ö}m-Persson conjecture

Esa Järvenpää, Markus Myllyoja, Stéphane Seuret

We consider the Ekst\''om-Persson conjecture concerning the value of the Hausdorff dimension of random covering sets formed by balls with radii $(k^{- α})_{k = 1}^{\infty}$ and centres…

math.DS2025

Multivariate multifractal analysis of L{é}vy functions. Part II: Validity of the multifractal formalism

Stéphane Jaffard, Lingmin Liao, Qian Zhang

In this article, we determine the multivariate multifractal Legendre spectra of shifted L{é}vy functions. This allows us to explore how the validity of the multivariate multifracta…

math.DS2025

Multivariate multifractal analysis of Levy functions. Part I: Determination of multifractal spectra

Stéphane Jaffard, Lingmin Liao, Qian Zhang

We study the sets of points where a Lévy function and a translated Lévy function share a given couple of H\''older exponents, and we investigate how their Hausdorff dimensions depe…

cs.LO2025

Observation algebras: Heyting algebra over coherence spaces

Paul Brunet

In this report, we introduce observation algebras, constructed by considering the downclosed subsets of a coherence space ordered by reverse inclusion. These may be interpreted as…

math.MG2024

On the multivariate multifractal formalism: examples and counter-examples

Stéphane Seuret

In this article, we investigate the bivariate multifractal analysis of pairs of Borel probability measures. We prove that, contrarily to what happens in the univariate case, the na…

math.MG2022

Extraction of optimal subsequences of sequence of balls, and application to optimality estimates of mass transference principles

Édouard Daviaud

In this article, we prove that from any sequence of balls whose associated limsup set has full $μ$ -measure, one can extract a well-distributed subsequence of balls. From this, we d…

math.AP2022

Critical regularity issues for the compressible Navier--Stokes system in bounded domains

Raphaël Danchin, Patrick Tolksdorf

We are concerned with the barotropic compressible Navier-Stokes system in a bounded domain of $R^{d}$ (with $d \geq 2$ ). In a critical regularity setting, we establish local w…

math.NT2021

Distribution of elements of a floor function set in arithmetical progression

Yahui Yu, Jie Wu

Let $[t]$ be the integral part of the real number $t$ .The aim of this short note is to study the distribution of elements of the set $\mathcal{S}(x) := \{[\frac{x}{n}] : 1\le n\le…

math.NT2021

On the primes in floor function sets

Rong Ma, Jie Wu

Let [t] be the integral part of the real number t and let 1 P be the characteristic function of the primes. Denote by $π$ G (x) the number of primes in the floor function set G(x)…

math.NT2021

Manin's conjecture for singular cubic hypersurfaces

Jianya Liu, Tingting Wen, Jie Wu

Let S Q denote x 3 = Q(y 1 ,. .. , y m)z where Q is a primitive positive definite quadratic form in m variables with integer coefficients. This S Q ranges over a class of singular…

math.AP2021★ 1 cited

Relaxation limit for a damped one-velocity Baer-Nunziato model to a Kappila model

Burtea Cosmin, Crin-Barat Timothée, Tan Jin

In this paper we study a singular limit problem in the context of partially dissipative first order quasilinear systems. This problem arises in multiphase fluid mechanics. More pre…

math.AP2021

Partially dissipative hyperbolic systems in the critical regularity setting : The multi-dimensional case

Timothée Crin-Barat, Raphaël Danchin

We are concerned with quasilinear symmetrizable partially dissipative hyperbolic systems in the whole space $R^{d}$ with $d \geq 2$ . Following our recent work [10] dedicated t…

math.FA2021★ 1 cited

The functional form of Mahler conjecture for even log-concave functions in dimension $2$

Matthieu Fradelizi, Elie Nakhle

Let $Φ$ : R n $\to$ R $\cup$ {+ $\infty$ } be an even convex function and L $Φ$ be its Legendre transform. We prove the functional form of Mahler conjecture concerning the fun…

math.AP2020

Effective mass theorems with Bloch modes crossings

Victor Chabu, Clotilde Fermanian Kammerer, Fabricio Macià

We study a Schr{ö}dinger equation modeling the dynamics of an electron in a crystal in the asymptotic regime of small wavelength comparable to the characteristic scale of the cryst…

math.CA2020

Multifractal analysis of sums of random pulses

Guillaume Saes, Stéphane Seuret

In this paper, we determine the almost sure multifractal spectrum of a class of random functions constructed as sums of pulses with random dilations and translations. In addition,…

q-fin.GN2017

Stock-flow consistent macroeconomic model with nonuniform distributional constraint

Aurélien Hazan

We report on results concerning a partially aggregated Stock Flow Consistent (SFC) macroeconomic model in the stationary state where the sectors of banks and firms are aggregated,…

math.AP2016★ 2 cited

Global persistence of geometrical structures for the boussinesq equation with no diffusion

Raphaël Danchin, Xin Zhang

Here we investigate the so-called temperature patch problem for the incompressible Boussinesq system with partial viscosity, in the whole space $R^{N}$ $(N \geq 2)$ , where t…

math.AP2014

Gradient bounds for nonlinear degenerate parabolic equations and application to large time behavior of systems

Olivier Ley, Vinh Duc Nguyen

We obtain new oscillation and gradient bounds for the viscosity solutions of fully nonlinear degenerate elliptic equations where the Hamiltonian is a sum of a sublinear and a super…

A 2-adjunction between representations and preorder morphisms

Traces of functions in Besov spaces in Gibbs environment

A non-vanishing property for tensor products of wavelets

Artificial Intelligence / Human Intelligence: Who Controls Whom?

Representations

Hitting Probabilities and the Ekstr{ö}m-Persson conjecture

Multivariate multifractal analysis of L{é}vy functions. Part II: Validity of the multifractal formalism

Multivariate multifractal analysis of Levy functions. Part I: Determination of multifractal spectra

Observation algebras: Heyting algebra over coherence spaces

On the multivariate multifractal formalism: examples and counter-examples

Extraction of optimal subsequences of sequence of balls, and application to optimality estimates of mass transference principles

Critical regularity issues for the compressible Navier--Stokes system in bounded domains

Distribution of elements of a floor function set in arithmetical progression

On the primes in floor function sets

Manin's conjecture for singular cubic hypersurfaces

Relaxation limit for a damped one-velocity Baer-Nunziato model to a Kappila model

Partially dissipative hyperbolic systems in the critical regularity setting : The multi-dimensional case

The functional form of Mahler conjecture for even log-concave functions in dimension 2

Effective mass theorems with Bloch modes crossings

Multifractal analysis of sums of random pulses

Stock-flow consistent macroeconomic model with nonuniform distributional constraint

Global persistence of geometrical structures for the boussinesq equation with no diffusion

Gradient bounds for nonlinear degenerate parabolic equations and application to large time behavior of systems

The functional form of Mahler conjecture for even log-concave functions in dimension $2$