Work

Constructing discrete harmonic functions in wedges

Year: 2021

Type: article

Abstract: We propose a systematic construction of signed harmonic functions for discrete Laplacian operators with Dirichlet conditions in the quarter plane. In particular, we prove that the set of harmonic functions is an algebra generated by a single element, which conjecturally corresponds to the unique positive harmonic function.

Source: Transactions of the American Mathematical Society

DOI: 10.1090/tran/8615

Authors: Viet Hoang, Kilian Raschel, Pierre Tarrago

Institutions: Université de Tours, Université d'Orléans, Centre National de la Recherche Scientifique, Institut Denis Poisson, Laboratoire Angevin de Recherche en Mathématiques, Université d'Angers, Sorbonne Université, Laboratoire de Probabilités, Statistique et Modélisation

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Agence Nationale de la Recherche, H2020 European Research Council

Awards: Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation, Elliptic Combinatorics: Solving famous models from combinatorics, probability and statistical mechanics, via a transversal approach of special functions

OpenAlex ID: W3097554205

FWCI: 1.661

Cites: 43

Cited by: 5

Related to: 10