18 research outputs found
Poisson Statistics for the Largest Eigenvalues in Random Matrix Ensemble
The paper studies the spectral properties of large Wigner, band and sample
covariance random matrices with heavy tails of the marginal distributions of
matrix entries.Comment: This is an extended version of my talk at the QMath 9 conference at
Giens, France on September 13-17, 200
Global validity of the Master kinetic equation for hard-sphere systems
Following the recent establishment of an exact kinetic theory realized by the Master kinetic equation
which describes the statistical behavior of the Boltzmann-Sinai Classical Dynamical System (CDS), in
this paper the problem is posed of the construction of the related global existence and regularity theorems.
For this purpose, based on the global prescription of the same CDS for arbitrary single- and multiplecollision
events, first global existence is extablished for the N-body Liouville equation which is written
in Lagrangian differential and integral forms. This permits to reach the proof of global existence both
of generic N-body probability density functions (PDF) as well as of particular solutions which maximize
the statistical Boltzmann-Shannon entropy and are factorized in terms of the corresponding 1-body PDF.
The latter PDF is shown to be uniquely defined and to satisfy the Master kinetic equation globally in the
extended 1-body phase space. Implications concerning the global validity of the asymptotic Boltzmann
equation and Boltzmann H-theorem are discussed
New host nuclear functions are not required for the modifications of the parasitophorous vacuole of Toxoplasma
Linking macro-level goals to micro-level routines: EHR-enabled transformation of primary care services
Applying a markov chain model in quality function deployment
Markov chain model, Quality function deployment, Technical measure, House of quality, Transition matrix,