Zobrazeno 1 - 10
of 187
pro vyhledávání: '"Demni, Nizar"'
Autor:
Demni, Nizar, Hamdi, Tarek
We compute the large size limit of the moment formula derived in \cite{DHS} for the Hermitian Jacobi process at fixed time. Our computations rely on the polynomial division algorithm which allows to obtain cancellations similar to those obtained in L
Externí odkaz:
http://arxiv.org/abs/2404.11708
Autor:
Demni, Nizar, Kadri, Hachem
Random features have been introduced to scale up kernel methods via randomization techniques. In particular, random Fourier features and orthogonal random features were used to approximate the popular Gaussian kernel. Random Fourier features are buil
Externí odkaz:
http://arxiv.org/abs/2310.07370
The monograph is devoted to the study of stochastic area functionals of Brownian motions and of the associated heat kernels on Lie groups and Riemannian manifolds. It is essentially self-contained and as such can serve as a textbook on the theory of
Externí odkaz:
http://arxiv.org/abs/2212.07483
Autor:
Demni, Nizar, Hamdi, Tarek
Motivated by quantum information theory, we introduce a dynamical random state built out of the sum of $k \geq 2$ independent unitary Brownian motions. In the large size limit, its spectral distribution equals, up to a normalising factor, that of the
Externí odkaz:
http://arxiv.org/abs/2210.00208
Autor:
Demni, Nizar, Hamdi, Tarek
Given two orthogonal projections $\{P,Q\}$ in a non commutative tracial probability space, we prove relations between the moments of $P+Q$, of $\sqrt{-1}(PQ-QP)$ and of $P+QPQ$ and those of the angle operator $PQP$. Our proofs are purely algebraic an
Externí odkaz:
http://arxiv.org/abs/2203.10841
We study the Brownian motion on the non-compact Grassmann manifold $\frac{\mathbf{U}(n-k,k)} {\mathbf{U}(n-k)\mathbf{U}(k)}$ and some of its functionals. The key point is to realize this Brownian motion as a matrix diffusion process, use matrix stoch
Externí odkaz:
http://arxiv.org/abs/2106.14335
Autor:
Demni, Nizar
We relate Gruet formula for the heat kernel on real hyperbolic spaces to the commonly used one derived from Millson induction. The bridge between both formulas is settled by Yor result on the joint distribution of a Brownian motion and of its exponen
Externí odkaz:
http://arxiv.org/abs/2103.10987
Autor:
Deleaval, Luc, Demni, Nizar
In the first part of this paper, we express the generalized Bessel function associated with dihedral systems and a constant multiplicity function as a infinite series of confluent Horn functions. The key ingredient leading to this expression is an ex
Externí odkaz:
http://arxiv.org/abs/2009.00230
Autor:
Demni, Nizar, Mouayn, Zouhair
While dealing with the constant-strength magnetic Laplacian on the annulus, we complete J. Peetre's work. In particular, the eigenspaces associated with its discrete spectrum are true-polyanalytic spaces with respect to the invariant Cauchy-Riemann o
Externí odkaz:
http://arxiv.org/abs/2008.08390
Autor:
Arista, Jonas, Demni, Nizar
In this paper, we study the one-dimensional Hua-Pickrell diffusion. We start by revisiting the stationary case considered by E. Wong for which we supply omitted details and write down a unified expression of its semi-group density through the associa
Externí odkaz:
http://arxiv.org/abs/2008.07195