In this paper, we propose an estimator of the generalized maximum mean discrepancy between several probability distributions, constructed by modifying a naive estimator. Asymptotic normality is obtained for this estimator both under equality of these [...]
OGOUYANDJOU CARLOS [3], BALOGOUN SOSTHÈNE [1], NKIET GUY MARTIAL [2],
In this paper, a new geometric quantity, the trace-free horizon- tal Ricci tensor of a Finsler manifold is proposed. The conformal changes of this tensor, relatively to the conformal deformations of Finsler metrics when an Ehresmann form varies, are [...]
NIBARUTA GILBERT [1], DEGLA SERGE [2], TODJIHOUNDE LEONARD [3],
In this paper, a new Ricci flow is canonically introduced in Finsler Geometry and, under the variance of Finsler-Ehresmann form, conformal changes of Finsler metrics are studied. Some existence conditions of this Finslerian Ricci flow on a compact ma [...]
NIBARUTA GILBERT [1], DEGLA SERGE [2], TODJIHOUNDE LEONARD [3],
Given a Finsler manifold (M, F ), it is proved that the first eigenvalue of the Finslerian p-Laplacian is bounded above by a constant depending on p, the dimension of M , the Busemann-Hausdorff volume and the reversibility constant of (M, F ). For [...]
COMBETE CYRILLE [1], DEGLA SERGE [2], TODJIHOUNDE LEONARD [3],
Let (X,F) be a compact Finsler (no reversibility is assumed) manifold and X ̃ be its Finsler universal covering. In this work we study the geodesic flow restricted to the set of all geodesics that are minimal on X ̃. In particular we give a compariso [...]
HOUENOU DJIDÉMÈ FRANCK [1], OGOUYANDJOU K.S. E. CARLOS [2], TODJIHOUNDE LEONARD [3],