Laboratoire de Mathématiques d'Orsay

Genetic contribution of advantaged ancestors in the biparental Moran model–finite selection

Abstract We study a population of N individuals evolving according to a biparental Moran model with two types, one being advantaged compared to the other. The advantage is conferred by a Mendelian mutation, which reduces the death probability of individuals carrying it. We assume...

On well-posedness for second-order degenerate parabolic equations with unbounded lower-order terms

Abstract In this paper, we establish the well-posedness of Cauchy problems for weak solutions to second-order degenerate parabolic equations with a non-smooth, time-dependent degenerate elliptic part that includes both bounded and unbounded lower-order terms. The unbounded lower-...

Ginzburg–Landau Minimizers with High Topological Degrees in an Annulus

Abstract. Motivated by recent experiments on fermionic rings, we study the asymptotic behavior of minimizers of the Ginzburg–Landau (GL) energy in an annulus with a Dirichlet data which depends on the GL parameter on the outer boundary. We show that there is a critical degree of...

The Frontier Triad: Swampland Distance Bounds, Tachyon Condensation, and Non-Perturbative Vacuum Decay on K3 × T²

Revision (2026-09-18): orientifold bookkeeping. The tadpole configuration is placed in the orientifold K3 × T²/Z2, with the 4 O7-planes at the fixed points of T²/Z2, and the charges are stated in units of μ7/4 (+1 and −4 in D7 units; Sen hep-th/9605150, Tripathy–Trivedi hep-th/03...

The Frontier Triad: Swampland Distance Bounds, Tachyon Condensation, and Non-Perturbative Vacuum Decay on K3 × T²

Revision (2026-09-18): orientifold bookkeeping. The tadpole configuration is placed in the orientifold K3 × T²/Z2, with the 4 O7-planes at the fixed points of T²/Z2, and the charges are stated in units of μ7/4 (+1 and −4 in D7 units; Sen hep-th/9605150, Tripathy–Trivedi hep-th/03...

The Characteristic Group of Lie LCP Manifolds

Abstract The (reduced) characteristic group of a locally conformally product manifold is obtained by restricting the action of its fundamental group to the non-flat factor of the universal cover, and taking the connected component of the identity in the closure of this restrictio...

Identities Arising from a Certain Family of Special Combinatorial Numbers and Polynomials

The results obtained in this paper extend several identities and interpolation formulas previously established for the numbers y9,n(λ;a) to the higher-order case. We derive several explicit formulas, identities, and recurrence-type relations, and establish connections with well-k...

A new transcendence measure for the values of the exponential function at algebraic arguments

Let P ∈ ℤ [ X ] ∖ { 0 } be of degree δ ≥ 1 and usual height H ≥ 1 , and let α ∈ ℚ ¯ * be of degree d ≥ 2 . Mahler proved in 1931 the following transcendence measure for e α : for any ε > 0 , there exists c > 0 such that | P ( e α ) | > c / H μ ( d , δ ) + ε where the exponent μ (...

Is Stephen Curry really a guard? A new perspective on player typologies using functional data analysis

Abstract We present a novel representation of NBA players’ shooting patterns based on Functional Data Analysis (FDA). Each player’s charts of made and missed shots are treated as smooth functional data defined over a two-dimensional domain corresponding to the offensive half-cour...

A New Scale of Function Spaces Characterizing Homogeneous Besov Spaces

Abstract We introduce and study a new scale of function spaces that characterize the homogeneous Besov spaces $$\dot{\text {B}}^{\beta }_{p,q}$$ B ˙ p , q β , hence completing earlier work by Ullrich. These new spaces include the ones introduced by Barton and Mayboroda, and syste...

Metric and Levi-Civita Connections on Regular Hom-Lie-Rinehart Algebras

In this paper, we study regular Hom-Lie-Rinehart algebras and extend several classical geometric notions to this framework. In particular, we develop the theory of pseudo-Riemannian metrics, connections, curvature tensors, and torsion tensors in the setting of regular Hom-Lie-Rin...