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61 papers · 1 filter
Tunneling between magnetic wells in two dimensions
Søren Fournais, Yannick Guedes Bonthonneau, Léo Morin +1
The two-dimensional magnetic Laplacian is considered. We calculate the leading term of the splitting between the first two eigenvalues of the operator in the semiclassical limit un…
A Gaussian Beam Construction of de Haas-vanAlfven Resonances
Mouez Dimassi, Jean-Claude Guillot, James Ralston
In this article we consider a Bloch electron in a crystal lattice subject to slowy varying external magnetic fields. We offer an explanation of de Haas-van Alfven oscillations in t…
Duality of O(N) and Sp(N) random tensor models: tensors with symmetries
H. Keppler, T. Krajewski, T. Muller +1
In a recent series of papers, a duality between orthogonal and symplectic random tensor models has been proven, first for quartic models and then for models with interactions of ar…
Watermelons on the half-plane
Khaydar Nurligareev, Alexander Povolotsky
We study the watermelon probabilities in the uniform spanning forests on the two-dimensional semi-infinite square lattice near either open or closed boundary to which the forests c…
Instabilities Appearing in Cosmological Effective Field theories: When and How?
Jean-Pierre Eckmann, Farbod Hassani, Hatem Zaag
Nonlinear partial differential equations appear in many domains of physics, and we study here a typical equation which one finds in effective field theories (EFT) originated from c…
Random assignment problems on manifolds
Dario Benedetto, Emanuele Caglioti, Sergio Caracciolo +3
We consider the assignment problem between two sets of random points on a smooth, two-dimensional manifold of unit area. It is known that the average cost scales as $E_Ω(N)…