J.B. Baillon
University of Lyon
5 Papers
97 Citations
J.B. Baillon is an academic researcher from University of Lyon. The author has contributed to research in topics: Scaling limit & Operator (computer programming). The author has an hindex of 5, co-authored 5 publications.
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Papers
Examples of unbounded imaginary powers of operators
J.B. Baillon,Ph. Clément +1 more
TL;DR: In this paper, the authors consider the closedness of the sum of two closed operators in a Hilbert space, and show that it is possible to construct a positive type operator of positive type in Hilbert space without bounded imaginary powers.
50
On the attracting orbit of a non-linear transformation arising from renormalization of hierarchically interacting diffusions. I. The compact case
TL;DR: In this article, the n-fold composition of a non-linear integral operator acting on a class of functions on [0, 1] was analyzed and various properties of convergence to this orbit were derived.
On the Attracting Orbit of a Nonlinear Transformation Arising from Renormalization of Hierarchically Interacting Diffusions
TL;DR: In this paper, the authors analyzed the n-fold composition of a non-linear integral operator acting on a class of functions on [0, ∞] and derived various results of convergence to these orbits and to these fixed points.
18
A variational approach to branching random walk in random environment
TL;DR: In this paper, the exponential growth rate of the particle density is computed in the long time limit in the form of a variational formula that can be solved explicitly, revealing two phase transitions associated with localization vs. delocalization and survival vs. extinction.