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8 papers · 1 filter
Explicit formulas for a continuous stochastic maturation model. Application to anticancer drug pharmacokinetics/pharmacodynamics
Djalil Chafai, Didier Concordet
We present a continuous time model of maturation and survival, obtained as the limit of a compartmental evolution model when the number of compartments tends to infinity. We establ…
On nonparametric maximum likelihood for a class of stochastic inverse problems
Djalil Chafai, Jean-Michel Loubes
We establish the consistency of a nonparametric maximum likelihood estimator for a class of stochastic inverse problems. We proceed by embedding the framework into the general sett…
Numerical computation of travelling breathers in Klein-Gordon chains
Yannick Sire, Guillaume James
We numerically study the existence of travelling breathers in Klein-Gordon chains, which consist of one-dimensional networks of nonlinear oscillators in an anharmonic on-site poten…
Martingales and Profile of Binary Search Trees
Brigitte Chauvin, Thierry Klein, Jean-Francois Marckert +1
We are interested in the asymptotic analysis of the binary search tree (BST) under the random permutation model. Via an embedding in a continuous time model, we get new results, in…
The braid groups of the projective plane
Daciberg Lima Goncalves, John Guaschi
Let B_n(RP^2)$ (respectively P_n(RP^2)) denote the braid group (respectively pure braid group) on n strings of the real projective plane RP^2. In this paper we study these braid gr…
Chapman-Enskog derivation of the generalized Smoluchowski equation
Pierre-Henri Chavanis, Philippe Laurencot, Mohammed Lemou
We use the Chapman-Enskog method to derive the Smoluchowski equation from the Kramers equation in a high friction limit. We consider two main extensions of this problem: we take in…