Concept
Série de Dirichlet
Publications associées (18)
From trees to barcodes and back again II: Combinatorial and probabilistic aspects of a topological inverse problem
Kathryn Hess Bellwald, Lida Kanari, Adélie Eliane Garin
In this paper we consider two aspects of the inverse problem of how to construct merge trees realizing a given barcode. Much of our investigation exploits a recently discovered connection between the symmetric group and barcodes in general position, based ...
2024A Reduced Order Model for Domain Decompositions with Non-conforming Interfaces
Alfio Quarteroni, Andrea Manzoni
In this paper, we propose a reduced-order modeling strategy for two-way Dirichlet-Neumann parametric coupled problems solved with domain-decomposition (DD) sub-structuring methods. We split the original coupled differential problem into two sub-problems wi ...
New York2024ALGEBRAIC TWISTS OF GL3 x GL2 L-FUNCTIONS
We prove that the coefficients of a GL3 x GL2 Rankin-Selberg L-function do not correlate with a wide class of trace functions of small conductor modulo primes, generalizing the corresponding result of Fouvry, Kowalski, and Michel for GL2 and of Kowalski, L ...
Baltimore2023A DONALDSON-THOMAS CREPANT RESOLUTION CONJECTURE ON CALABI-YAU 4-FOLDS
Let G be a finite subgroup of SU(4) such that its elements have age at most one. In the first part of this paper, we define K-theoretic stable pair invariants on a crepant resolution of the affine quotient C4/G, and conjecture a closed formula for their ge ...
Providence2023Conditional Synthetic Financial Time Series with Generative Adversarial Networks
The creation of high fidelity synthetic data has long been an important goal in machine learning, particularly in fields like finance where the lack of available training and test data make it impossible to utilize many of the deep learning techniques whic ...
2022Two-term, asymptotically sharp estimates for eigenvalue means of the Laplacian
We present asymptotically sharp inequalities for the eigenvalues mu(k) of the Laplacian on a domain with Neumann boundary conditions, using the averaged variational principle introduced in [14]. For the Riesz mean R-1(z) of the eigenvalues we improve the k ...
EUROPEAN MATHEMATICAL SOC2018