Zobrazeno 1 - 10
of 430
pro vyhledávání: '"Katori Makoto"'
Generalized Eigenspaces and Pseudospectra of Nonnormal and Defective Matrix-Valued Dynamical Systems
We consider nonnormal matrix-valued dynamical systems with discrete time. For an eigenvalue of matrix, the number of times it appears as a root of the characteristic polynomial is called the algebraic multiplicity. On the other hand, the geometric mu
Externí odkaz:
http://arxiv.org/abs/2411.06472
We define the accumulated spectrogram associated to a locally trace class orthogonal projection operator and to a bounded set using the polar decomposition of its restriction on that set and prove a convergence theorem for accumulated spectrograms al
Externí odkaz:
http://arxiv.org/abs/2403.16325
Motivated by recent studies on a time-dependent random matrix model called the non-Hermitian matrix-valued Brownian motion, we propose two kinds of dynamical processes of $n \times n$ matrices generated by nonnormal Toeplitz matrices. As a determinis
Externí odkaz:
http://arxiv.org/abs/2401.08129
Publikováno v:
Physica A (2024) 129798
Switching interacting particle systems studied in probability theory are the stochastic processes of hopping particles on a lattice made up of slow and fast particles, where the switching between these types of particles occurs randomly at a given tr
Externí odkaz:
http://arxiv.org/abs/2311.01946
The non-Hermitian matrix-valued Brownian motion is the stochastic process of a random matrix whose entries are given by independent complex Brownian motions. The bi-orthogonality relation is imposed between the right and the left eigenvector processe
Externí odkaz:
http://arxiv.org/abs/2306.00300
The identity by Chaundy and Bullard expresses $1$ as a sum of two truncated binomial series in one variable where the truncations depend on two different non-negative integers. We present basic and elliptic extensions of the Chaundy--Bullard identity
Externí odkaz:
http://arxiv.org/abs/2304.10003
Autor:
Katori, Makoto
In the series of lectures, we will discuss probability laws of random points, curves, and surfaces. Starting from a brief review of the notion of martingales, one-dimensional Brownian motion (BM), and the $D$-dimensional Bessel processes, BES$_{D}$,
Externí odkaz:
http://arxiv.org/abs/2207.14362
Autor:
Katori, Makoto
The Ginibre point process is given by the eigenvalue distribution of a non-hermitian complex Gaussian matrix in the infinite matrix-size limit. This is a determinantal point process (DPP) on the complex plane ${\mathbb{C}}$ in the sense that all corr
Externí odkaz:
http://arxiv.org/abs/2203.09062