Results 31 to 40 of about 77 (60)
A note on Johansen's rank conditions and the Jordan form of a matrix
Journal of Time Series Analysis, Volume 46, Issue 4, Page 796-805, July 2025.This note presents insights on the Jordan structure of a matrix which are derived from an extension of the I(1) and I(2) conditions in Johansen (1996). It is first observed that these conditions not only characterize, as it is well known, the size (1 or 2) of the largest Jordan block in the Jordan form of the companion matrix but more generally the ...
Massimo Franchi
wiley +1 more source
N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited
Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.ABSTRACT In this article, a general solution formula is derived for the d×d${\sf d}\times {\sf d}$‐matrix modified Korteweg–de Vries equation. Then, a solution class corresponding to special parameter choices is examined in detail. Roughly, this class can be described as N$N$‐solitons (in the sense of Goncharenko) with common phase matrix. It turns out
Sandra Carillo +2 more
wiley +1 more source
The Granger–Johansen representation theorem for integrated time series on Banach space
Journal of Time Series Analysis, Volume 46, Issue 3, Page 432-457, May 2025.We prove an extended Granger–Johansen representation theorem (GJRT) for finite‐ or infinite‐order integrated autoregressive time series on Banach space. We assume only that the resolvent of the autoregressive polynomial for the series is analytic on and inside the unit circle except for an isolated singularity at unity.
Phil Howlett +4 more
wiley +1 more source
Mean‐field limit of non‐exchangeable systems
Communications on Pure and Applied Mathematics, Volume 78, Issue 4, Page 651-741, April 2025.Abstract This paper deals with the derivation of the mean‐field limit for multi‐agent systems on a large class of sparse graphs. More specifically, the case of non‐exchangeable multi‐agent systems consisting of non‐identical agents is addressed. The analysis does not only involve PDEs and stochastic analysis but also graph theory through a new concept ...
Pierre‐Emmanuel Jabin +2 more
wiley +1 more source
From the conformal anomaly to the Virasoro algebra
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract The conformal anomaly and the Virasoro algebra are fundamental aspects of two‐dimensional conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an axiomatization of the conformal anomaly in terms of real determinant lines, one‐dimensional vector spaces
Sid Maibach, Eveliina Peltola
wiley +1 more source
Cartan geometry, supergravity and group manifold approach [PDF]
summary:We make a case for the unique relevance of Cartan geometry for gauge theories of gravity and supergravity. We introduce our discussion by recapitulating historical threads, providing motivations.
François, Jordan, Ravera, Lucrezia
core +1 more source
Dilation estimates for Orlicz amalgam spaces on the affine group
DILATION ESTIMATES FOR ORLICZ AMALGAM SPACES ON THE AFFINE GROUP Georgian mathematical journal (Rights reserved) (-) Equation characterizations of normal matrices / Tao, Yu (Rights reserved) (-) Boundedness of Marcinkiewicz integral ...
Arıs, Büşra
core
Fibrations of classifying spaces in the simplicial setting
FIBRATIONS OF CLASSIFYING SPACES IN THE SIMPLICIAL SETTING Georgian mathematical journal (Rights reserved) (-) Equation characterizations of normal matrices / Tao, Yu (Rights reserved) (-) Boundedness of Marcinkiewicz integral operators on ...
Franz, Matthias
core
On generating properties of the weak commutativity of p -groups, p odd
ON GENERATING PROPERTIES OF THE WEAK COMMUTATIVITY OF P -GROUPS, P ODD Georgian mathematical journal (Rights reserved) (-) Equation characterizations of normal matrices / Tao, Yu (Rights reserved) (-) Boundedness of Marcinkiewicz integral ...
Bastos, Raimundo +3 more
core
A generalized conditional Wiener integral with a drift and its applications
A GENERALIZED CONDITIONAL WIENER INTEGRAL WITH A DRIFT AND ITS APPLICATIONS Georgian mathematical journal (Rights reserved) (-) Equation characterizations of normal matrices / Tao, Yu (Rights reserved) (-) Boundedness of Marcinkiewicz ...
Cho, Dong Hyun
core