Zobrazeno 1 - 10
of 850
pro vyhledávání: '"Martin, Jeremy"'
We consider the heat equation on a bounded $C^1$ domain in $\mathbb{R}^n$ with Dirichlet boundary conditions. The primary aim of this paper is to prove that the heat equation is observable from any measurable set with a Hausdorff dimension strictly g
Externí odkaz:
http://arxiv.org/abs/2407.20954
Autor:
Balc'h, Kévin Le, Martin, Jérémy
In this paper, we investigate quantitative propagation of smallness properties for the Schr\"odinger operator on a bounded domain in $\mathbb R^d$. We extend Logunov, Malinnikova's results concerning propagation of smallness for $A$-harmonic function
Externí odkaz:
http://arxiv.org/abs/2403.15299
Stanley asked whether a tree is determined up to isomorphism by its chromatic symmetric function. We approach Stanley's problem by studying the relationship between the chromatic symmetric function and other invariants. First, we prove Crew's conject
Externí odkaz:
http://arxiv.org/abs/2402.10333
A matroid base polytope is a polytope in which each vertex has 0,1 coordinates and each edge is parallel to a difference of two coordinate vectors. Matroid base polytopes are described combinatorially by integral submodular functions on a boolean lat
Externí odkaz:
http://arxiv.org/abs/2312.02040
Autor:
Balc'h, Kévin Le, Martin, Jérémy
In this article, we prove the (uniform) global exponential stabilization of the cubic defocusing Schr\"odinger equation on the torus d-dimensional torus, for d=1, 2 or 3, with a linear damping localized in a subset of the torus satisfying some geomet
Externí odkaz:
http://arxiv.org/abs/2310.10805
Autor:
Balc'H, Kévin Le, Martin, Jérémy
The goal of this article is to obtain observability estimates for Schr{\"o}dinger equations in the plane R 2. More precisely, considering a 2$\pi$Z 2-periodic potential V $\in$ L $\infty$ (R 2), we prove that the evolution equation i$\partial$tu = --
Externí odkaz:
http://arxiv.org/abs/2304.08050
A graph can be regarded as an electrical network in which each edge is a resistor. This point of view relates combinatorial quantities, such as the number of spanning trees, to electrical ones such as effective resistance. The second and third author
Externí odkaz:
http://arxiv.org/abs/2206.02182
Autor:
Martin, Jérémy
In this paper, new spectral inequalities for finite combinations of eigenfunctions of anisotropic Shubin operators are presented. Given a subset $\omega$ and an energy level, we provide an explicit control of the ratio of the L 2 (R d)-norm over the
Externí odkaz:
http://arxiv.org/abs/2205.11868
Autor:
Marshall, Kevin, Martin, Jeremy L.
A \textit{grounded set family} on $I$ is a subset $\mathcal{F}\subseteq2^I$ such that $\emptyset\in\mathcal{F}$. We study a linearized Hopf monoid \textbf{SF} on grounded set families, with restriction and contraction inspired by the corresponding op
Externí odkaz:
http://arxiv.org/abs/2205.05772
Autor:
Hanely, Derek, Martin, Jeremy L., McGinnis, Daniel, Miyata, Dane, Nasr, George D., Vindas-Meléndez, Andrés R., Yin, Mei
We show that the base polytope $P_M$ of any paving matroid $M$ can be systematically obtained from a hypersimplex by slicing off certain subpolytopes, namely base polytopes of lattice path matroids corresponding to panhandle-shaped Ferrers diagrams.
Externí odkaz:
http://arxiv.org/abs/2201.12442