Add to ORKGABSTRACT. In this paper we discuss the natural candidate for the one dimensional free Poincare ́ inequality. Two main strong points sustain this candidacy. One is the random matrix heuristic and the other the relations with the other free functional inequalities, namely, the free transportation and Log-Sobolev inequalities. As in the classical case the Poincare ́ is implied by the others. This investigation is driven by a nice lemma of Haagerup which relates logarithmic potentials and Chebyshev polynomials. The Poincare ́ inequality revolves around the counting number operator for the Chebyshev polynomials of first kind with respect to the arcsine law on [−2, 2]. This counting number operator appears naturally in a representation of the min...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Summary. We establish a Poincare ́ inequality for the law at time t of the explicit Euler scheme for...
AbstractThis work is devoted to direct mass transportation proofs of families of functional inequali...
ABSTRACT. We present two extensions of the one dimensional free Poincare ́ inequality similar in spi...
AbstractThis work is devoted to direct mass transportation proofs of families of functional inequali...
Abstract. This paper is concerned with intermediate inequalities which interpolate between the logar...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Summary. We establish a Poincare ́ inequality for the law at time t of the explicit Euler scheme for...
AbstractThis work is devoted to direct mass transportation proofs of families of functional inequali...
ABSTRACT. We present two extensions of the one dimensional free Poincare ́ inequality similar in spi...
AbstractThis work is devoted to direct mass transportation proofs of families of functional inequali...
Abstract. This paper is concerned with intermediate inequalities which interpolate between the logar...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Given a probability measure, a Poincaré inequality says that the "energy" - in the sense of L2 norm ...
Summary. We establish a Poincare ́ inequality for the law at time t of the explicit Euler scheme for...