Results 31 to 40 of about 328,318 (92)
A zero–one law for the spectral gap property of pairs in SU(2)$\mathrm{SU}(2)$
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract For n⩾2$n \geqslant 2$, Gamburd, Jakobson, and Sarnak [J. Eur. Math. Soc. 1 (1999), 51–85] conjectured that almost every n$n$‐tuple in SU(2)$\mathrm{SU}(2)$ has a spectral gap. Toward this conjecture, Fisher [Int. Math. Res. Not. (2006), Art. ID 26028] established a zero–one law for n⩾3$n \geqslant 3$, but obtained only a partial result for n ...
Oleg Pikhurko, Kohki Sakamoto
wiley +1 more source
Geometric spectral properties of electromagnetic waveguides
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We consider a homogeneous, isotropic electromagnetic waveguide with simply connected cross‐section embedded in a perfect conductor. We investigate the influence of geometric deformations, namely bending and twisting, on the real spectrum of the associated self‐adjoint Maxwell operator. We first establish sufficient conditions on the asymptotic
Philippe Briet +3 more
wiley +1 more source
Self‐consistent transfer operators for heterogeneous coupled maps
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We investigate the dynamics of large heterogeneous network dynamical systems composed of nonlocally coupled chaotic maps. We show that the mean‐field limit of such systems is governed by a suitably defined Self‐consistent Transfer Operator (STO) acting on measures, describing the infinite‐size limits of dense graphs as graphons, thereby ...
Herbert M. C. Maquera +2 more
wiley +1 more source
Equidistribution in 2‐nilpotent Polish groups and triple restricted sumsets
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract The aim of this paper is to establish a Ratner‐type equidistribution theorem for orbits on homogeneous spaces associated with 2$\hskip.001pt 2$‐nilpotent locally compact Polish groups under the action of a countable discrete abelian group.
Ethan Ackelsberg, Asgar Jamneshan
wiley +1 more source
Sesquilinear quantum stochastic analysis in Banach space [PDF]
, 2014 A theory of quantum stochastic processes in Banach space is initiated. The processes considered here consist of Banach space valued sesquilinear maps.
Lindsay, Martin +2 more
core +3 more sources
A new approach for the analysis of evolution partial differential equations on a finite interval
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract We show that, for certain evolution partial differential equations, the solution on a finite interval (0,ℓ)$(0,\ell)$ can be reconstructed as a superposition of restrictions to (0,ℓ)$(0,\ell)$ of solutions to two associated partial differential equations posed on the half‐lines (0,∞)$(0,\infty)$ and (−∞,ℓ)$(-\infty,\ell)$.
Türker Özsarı +2 more
wiley +1 more source
Derivations on triangular Banach algebras of order three
, 2013 In this paper, we define some new notions of triangular Banach algebras and we investigate the derivations on these algebras.
Ebadian, Ali +2 more
openaire +2 more sources
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
The Natural Components of a Regular Linear System
Oxford Bulletin of Economics and Statistics, Volume 88, Issue 4, Page 603-622, August 2026.ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley +1 more source