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19972026
most citedAnalysis of a Random Forests Model

678 citations

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math-ph2025

Harmonic functions on Tutte embeddings and linearized Monge-Ampère equation

Mikhail Basok, Dmitry Chelkak, Benoît Laslier +1

We prove convergence of solutions of Dirichlet problems and Green's functions on Tutte harmonic embeddings to those of the linearized Monge--Ampère equation . Mor…

math-ph2024

Topological junctions for one-dimensional systems

David Gontier, Clément Tauber

We study and classify the emergence of protected edge modes at the junction of one-dimensional materials. Using symmetries of Lagrangian planes in boundary symplectic spaces, we pr…

math-ph2022★ 12 cited

Bernoulli variables, classical exclusion processes and free probability

Michel Bauer, Denis Bernard, Philippe Biane +1

We present a new description of the known large deviation function of the classical symmetric simple exclusion process by exploiting its connection with the quantum symmetric simpl…

math-ph2022★ 3 cited

Phase transition in the Peierls model for polyacetylene

David Gontier, Adéchola Kouande, Eric Séré

We consider the Peierls model for closed polyactetylene chains with an even number of carbon atoms as well as infinite chains, in the presence of temperature. We prove the existenc…

math-ph2022★ 5 cited

Symmetric Fermi projections and Kitaev's table: topological phases of matter in low dimensions

David Gontier, Domenico Monaco, Solal Perrin-Roussel

We review Kitaev's celebrated "periodic table" for topological phases of condensed matter, which identifies ground states (Fermi projections) of gapped periodic quantum systems up…

math-ph2020★ 2 cited

On Products of Delta Distributions and Resultants

Michel Bauer, Jean-Bernard Zuber

We prove an identity in integral geometry, showing that if and are two polynomials, is proportional to where is the r…